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All questions of Data Sufficiency for SSC CGL Exam
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:What is the total surface area of a cylinder?Statement I: The ratio of the curved surface area to the total surface area of the cylinder is 2 : 3.
Statement II: If the curved surface of the cylinder is cut along the height and opened into a rectangle, the perimeter of the rectangle will be 116 cm.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'D'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
What is the total surface area of a cylinder?
Statement I: The ratio of the curved surface area to the total surface area of the cylinder is 2 : 3.
Statement II: If the curved surface of the cylinder is cut along the height and opened into a rectangle, the perimeter of the rectangle will be 116 cm.
Statement II: If the curved surface of the cylinder is cut along the height and opened into a rectangle, the perimeter of the rectangle will be 116 cm.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
 | Malavika Rane answered |
Understanding the Problem
To find the total surface area of a cylinder, we need its height (h) and radius (r). The total surface area (TSA) is calculated using the formula:
TSA = 2πr(h + r)
Now, let's analyze the provided statements.
Statement I: Ratio of Curved Surface Area to Total Surface Area
- The ratio of the curved surface area (CSA) to the total surface area (TSA) is given as 2:3.
- This means CSA = (2/3) * TSA.
To express this relationship mathematically:
- CSA = 2πrh
- TSA = 2πr(h + r)
From this ratio, we can derive a relationship between CSA and TSA, but we still need the individual dimensions (h and r) to compute TSA directly. Thus, Statement I alone is not sufficient.
Statement II: Perimeter of the Rectangle from Curved Surface
- When the curved surface of the cylinder is cut and opened into a rectangle, the perimeter is given as 116 cm.
- The perimeter of the rectangle formed is calculated as P = 2(l + b), where l = height (h) and b = circumference (2πr).
- Therefore, we can establish the equation: 2(h + 2πr) = 116.
From this equation, we can derive the values of h and r, but we still need the relationship established in Statement I to find the total surface area accurately. Therefore, Statement II alone is also not sufficient.
Conclusion
Since neither statement alone is sufficient to find the total surface area of the cylinder, we require both statements together to extract the necessary dimensions and calculate TSA accurately.
Thus, the correct answer is option D: both statements together are necessary to answer the question.
To find the total surface area of a cylinder, we need its height (h) and radius (r). The total surface area (TSA) is calculated using the formula:
TSA = 2πr(h + r)
Now, let's analyze the provided statements.
Statement I: Ratio of Curved Surface Area to Total Surface Area
- The ratio of the curved surface area (CSA) to the total surface area (TSA) is given as 2:3.
- This means CSA = (2/3) * TSA.
To express this relationship mathematically:
- CSA = 2πrh
- TSA = 2πr(h + r)
From this ratio, we can derive a relationship between CSA and TSA, but we still need the individual dimensions (h and r) to compute TSA directly. Thus, Statement I alone is not sufficient.
Statement II: Perimeter of the Rectangle from Curved Surface
- When the curved surface of the cylinder is cut and opened into a rectangle, the perimeter is given as 116 cm.
- The perimeter of the rectangle formed is calculated as P = 2(l + b), where l = height (h) and b = circumference (2πr).
- Therefore, we can establish the equation: 2(h + 2πr) = 116.
From this equation, we can derive the values of h and r, but we still need the relationship established in Statement I to find the total surface area accurately. Therefore, Statement II alone is also not sufficient.
Conclusion
Since neither statement alone is sufficient to find the total surface area of the cylinder, we require both statements together to extract the necessary dimensions and calculate TSA accurately.
Thus, the correct answer is option D: both statements together are necessary to answer the question.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:The combined salary of Suman and Reena is Rs. 20,000. Both of them save some amount of their salary and spend the rest. If Suman saves 50% of her salary, what is the amount spent by Reena?Statement I: The difference between the salary of Suman and Reena is Rs. 4,000.
Statement II: Reena saves an amount equal to the salary of Suman.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'D'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
The combined salary of Suman and Reena is Rs. 20,000. Both of them save some amount of their salary and spend the rest. If Suman saves 50% of her salary, what is the amount spent by Reena?
Statement I: The difference between the salary of Suman and Reena is Rs. 4,000.
Statement II: Reena saves an amount equal to the salary of Suman.
Statement II: Reena saves an amount equal to the salary of Suman.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
 | Ssc Cgl answered |
Salary Suman + Reena = 20,000
Using Statement I : We do not know whose salary is more.
So, statement I alone is not sufficient.
Using Statement I : We do not know whose salary is more.
So, statement I alone is not sufficient.
Using Statement II:
Savings of Reena = Salary of Suman
So, salary of Reena > Salary of Suman
But we cannot find the savings of Reena
So, statement I alone is not sufficient.
Savings of Reena = Salary of Suman
So, salary of Reena > Salary of Suman
But we cannot find the savings of Reena
So, statement I alone is not sufficient.
Using both Statement I and II:
Salary (Suman + Reena) = 20,000
Salary (Reena – Suman) = 4,000 (Salary of Reena > Salary of Suman)
Salary of Reena = 12,000 and Salary of Suman = 8,000
Savings of Reena = 8,000
Spent by Reena = 12,000 – 8,000 = 4,000
So, both the statements are together necessary.|
Hence, option D is correct.
Salary (Suman + Reena) = 20,000
Salary (Reena – Suman) = 4,000 (Salary of Reena > Salary of Suman)
Salary of Reena = 12,000 and Salary of Suman = 8,000
Savings of Reena = 8,000
Spent by Reena = 12,000 – 8,000 = 4,000
So, both the statements are together necessary.|
Hence, option D is correct.
Directions: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:What is the ratio of the speed of Aman to that of Gaurav?Statement I: Aman can beat Raman by 20 m in a 100 m race.
Statement II: If Gaurav gives a head start of 100 m to Raman in a 450 m race, he will still beat him by 110 m.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'D'. Can you explain this answer?
Directions: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
What is the ratio of the speed of Aman to that of Gaurav?
Statement I: Aman can beat Raman by 20 m in a 100 m race.
Statement II: If Gaurav gives a head start of 100 m to Raman in a 450 m race, he will still beat him by 110 m.
Statement II: If Gaurav gives a head start of 100 m to Raman in a 450 m race, he will still beat him by 110 m.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
 | EduRev SSC CGL answered |
We cannot find any relation between the speed of Aman and Gaurav using either of the statements.
Using both the statements:
Using both the statements:
Ratio of the speed:
Aman : Raman = 10 : 8
Raman : Gaurav = (450 – 110 – 100) : 450 = 8 : 15
Aman : Raman : Gaurav = 10 : 8 : 15
So, both the statements are together necessary.
Hence, option D is correct.
Aman : Raman = 10 : 8
Raman : Gaurav = (450 – 110 – 100) : 450 = 8 : 15
Aman : Raman : Gaurav = 10 : 8 : 15
So, both the statements are together necessary.
Hence, option D is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:If the ratio of the length and breadth of a rectangle is 9 : 4, what is its area?Statement I : The perimeter of the rectangle is 104 cm.
Statement II : One of the sides of the rectangle is equal to the side of a square with an area of 324 cm2.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'A'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
If the ratio of the length and breadth of a rectangle is 9 : 4, what is its area?
Statement I : The perimeter of the rectangle is 104 cm.
Statement II : One of the sides of the rectangle is equal to the side of a square with an area of 324 cm2.
Statement II : One of the sides of the rectangle is equal to the side of a square with an area of 324 cm2.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
| | Ssc Cgl answered |
Statement I :
2(L + B) = 104
L : B = 9 : 4
L = 36 and B = 16
2(L + B) = 104
L : B = 9 : 4
L = 36 and B = 16
Statement II: We do not know which side of the rectangle is equal to the side of the square.
So, statement I is alone sufficient but Statement II alone is not sufficient
Hence, option A is correct.
So, statement I is alone sufficient but Statement II alone is not sufficient
Hence, option A is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:What is the cost price of an item?Statement I: The selling price of the item is Rs. 1500 and the difference between its marked and cost price is Rs. 1300.Statement II: The difference between the selling price and the cost price of the item is Rs. 800.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data given in both I & II together are not sufficient to answer the question
Correct answer is option 'D'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
What is the cost price of an item?
Statement I: The selling price of the item is Rs. 1500 and the difference between its marked and cost price is Rs. 1300.
Statement II: The difference between the selling price and the cost price of the item is Rs. 800.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data given in both I & II together are not sufficient to answer the question
| | Ssc Cgl answered |
Statement I : No link of selling price with marked or cost price.
Statement II : We don’t know whether the selling price is more or less than the cost price.
Statement II : We don’t know whether the selling price is more or less than the cost price.
Using both the statements:
When sold at a loss:
SP = 1500
CP = 1500 + 800 = 2300
MP = 2300 + 1300 = 3600
When sold at a loss:
SP = 1500
CP = 1500 + 800 = 2300
MP = 2300 + 1300 = 3600
When sold at a profit:
SP = 1500
CP = 1500 – 800 = 700
MP = 700 + 1300 = 2000
As two conditions are possible.
Both the statements are together insufficient.
Hence, option D is correct.
SP = 1500
CP = 1500 – 800 = 700
MP = 700 + 1300 = 2000
As two conditions are possible.
Both the statements are together insufficient.
Hence, option D is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:A class has ‘x’ boys, ‘y’ girls and 8 teachers. What is the sum of the number of boys and girls in the class?
Statement I: The probability of selecting a boy from the students is 3/7.
Statement II: The difference between the number of girls and the number of teachers is 72.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'D'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
A class has ‘x’ boys, ‘y’ girls and 8 teachers. What is the sum of the number of boys and girls in the class?
Statement I: The probability of selecting a boy from the students is 3/7.
Statement II: The difference between the number of girls and the number of teachers is 72.
Statement I: The probability of selecting a boy from the students is 3/7.
Statement II: The difference between the number of girls and the number of teachers is 72.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
 | Pioneer Academy answered |
No statement is alone sufficient.
Using both the statements:
Boys : Girls = 3 : 4
Girls = 8 + 72 = 80
Hence, Boys = 60
Sum = 80 + 60 = 140
So, both the statements are together necessary.
Hence, option D is correct.
Using both the statements:
Boys : Girls = 3 : 4
Girls = 8 + 72 = 80
Hence, Boys = 60
Sum = 80 + 60 = 140
So, both the statements are together necessary.
Hence, option D is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:What is the value of R?Statement I: A sum of Rs. R becomes 800% of itself in 3 years at the rate of R% p.a. compound interest.
Statement II: The difference between simple interest and compound interest on a sum of Rs. R at the rate of 5% p.a. in two years is Rs. 0.25.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'C'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
What is the value of R?
Statement I: A sum of Rs. R becomes 800% of itself in 3 years at the rate of R% p.a. compound interest.
Statement II: The difference between simple interest and compound interest on a sum of Rs. R at the rate of 5% p.a. in two years is Rs. 0.25.
Statement II: The difference between simple interest and compound interest on a sum of Rs. R at the rate of 5% p.a. in two years is Rs. 0.25.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
| | Ssc Cgl answered |
Statement I :
R = 100
R = 100
Statement II :
5% of 5% of R = 0.25
R = 100
So, statement I alone or II alone is sufficient.
Hence, option C is correct.
5% of 5% of R = 0.25
R = 100
So, statement I alone or II alone is sufficient.
Hence, option C is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:In a class, the number of boys is 60% of the number of girls. What is the strength of the class?Statement I: If the number of boys is increased by 15, the percentage of girls in the class will be 57.14%.
Statement II: A decrease in the number of girls by 40% will make the strength of girls equal to that of boys.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'A'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
In a class, the number of boys is 60% of the number of girls. What is the strength of the class?
Statement I: If the number of boys is increased by 15, the percentage of girls in the class will be 57.14%.
Statement II: A decrease in the number of girls by 40% will make the strength of girls equal to that of boys.
Statement II: A decrease in the number of girls by 40% will make the strength of girls equal to that of boys.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
| | Ssc Cgl answered |
Boys : Girls = 6 : 10
Boys = 6x and Girls = 10x
Total = 16x
Boys = 6x and Girls = 10x
Total = 16x
Statement I:
x = 10
Strength of the class = 16x = 160
x = 10
Strength of the class = 16x = 160
Statement II: No data about the number of boys or girls
So, statement I is alone sufficient but statement II alone is not sufficient.
Hence, option A is correct.
So, statement I is alone sufficient but statement II alone is not sufficient.
Hence, option A is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:The ratio of the present age of A to that of B is 4 : 5. What is the average age of A and B?Statement I: 4 years later, the product of the age of A and B will be 480.
Statement II: 12 years ago, B was twice as old as A.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'C'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
The ratio of the present age of A to that of B is 4 : 5. What is the average age of A and B?
Statement I: 4 years later, the product of the age of A and B will be 480.
Statement II: 12 years ago, B was twice as old as A.
Statement II: 12 years ago, B was twice as old as A.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
| | EduRev SSC CGL answered |
Let the present age of A = 4x and B = 5x
Statement I: (4x + 4) (5x + 4) = 480
x = 4
Statement II: 12 years ago, B was twice as old as A.
(4x – 12) : (5x – 12) = 1 : 2
x = 4
So, statement I alone or II alone is sufficient.
Hence, option C is correct.
Statement I: (4x + 4) (5x + 4) = 480
x = 4
Statement II: 12 years ago, B was twice as old as A.
(4x – 12) : (5x – 12) = 1 : 2
x = 4
So, statement I alone or II alone is sufficient.
Hence, option C is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:A bag contains balls of three colors red, blue and green. What is the probability of drawing a blue ball from the bag?Statement I: The probability of drawing a green ball is 1/4.
Statement II: The total number of green and blue balls is 55.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data given in both I & II together are not sufficient to answer the question
Correct answer is option 'D'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
A bag contains balls of three colors red, blue and green. What is the probability of drawing a blue ball from the bag?
Statement I: The probability of drawing a green ball is 1/4.
Statement II: The total number of green and blue balls is 55.
Statement II: The total number of green and blue balls is 55.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data given in both I & II together are not sufficient to answer the question
| | EduRev SSC CGL answered |
Statement I, no mention of blue balls.
Statement II, we cannot find the number of blue balls.
Statement II, we cannot find the number of blue balls.
Using both the statements:
We get the ratio of Green : Total = 1 : 4 and green + blue = 55
But we cannot find the total number of balls or the number of blue balls
So, both the statements are together insufficient.
Hence, option D is correct.
We get the ratio of Green : Total = 1 : 4 and green + blue = 55
But we cannot find the total number of balls or the number of blue balls
So, both the statements are together insufficient.
Hence, option D is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:What are the passing marks in the test?Statement I: Aman got 30% marks in the test and failed by 10 marks.
Statement II: Jatin got three times as many marks as Aman and scored 40 marks less than the maximum marks.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'D'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
What are the passing marks in the test?
Statement I: Aman got 30% marks in the test and failed by 10 marks.
Statement II: Jatin got three times as many marks as Aman and scored 40 marks less than the maximum marks.
Statement II: Jatin got three times as many marks as Aman and scored 40 marks less than the maximum marks.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
| | EduRev SSC CGL answered |
No statement is alone sufficient
Using both the statements:
Let the maximum marks be 100x
Score of Aman = 30x
Score of Jatin = 90x
Maximum marks = 90x + 40 = 100x
x = 4
Maximum marks = 400
Passing marks = 30x + 10 = 130
So, both the statements are together necessary.
Hence, option D is correct.
Using both the statements:
Let the maximum marks be 100x
Score of Aman = 30x
Score of Jatin = 90x
Maximum marks = 90x + 40 = 100x
x = 4
Maximum marks = 400
Passing marks = 30x + 10 = 130
So, both the statements are together necessary.
Hence, option D is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:120 men can complete a work in 60 days. How many women can complete the same work in 30 days?Statement I: 40 men and 20 women can complete the same work in 108 days.
Statement II: 20 men are as efficient as 15 women.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'C'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
120 men can complete a work in 60 days. How many women can complete the same work in 30 days?
Statement I: 40 men and 20 women can complete the same work in 108 days.
Statement II: 20 men are as efficient as 15 women.
Statement II: 20 men are as efficient as 15 women.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
| | Ssc Cgl answered |
Statement I :
120M × 60 = (40M + 20 W) × 108
M : W = 3 : 4
120M × 60 = (40M + 20 W) × 108
M : W = 3 : 4
Statement II :
20 M = 15 W
M : W = 3 : 4
Number of women required
So, statement I alone or II alone is sufficient.
Hence, option C is correct.
20 M = 15 W
M : W = 3 : 4
Number of women required
So, statement I alone or II alone is sufficient.
Hence, option C is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:A, B and C are three pipes in a tank. A and B are outlet pipes and C is an inlet pipe. The ratio of the efficiency of A : B is 3 : 1 and that of B : C is 1 : 2. What is the capacity of the tank?Statement I : If all three pipes are opened, the water in the tank will decrease at the rate of 30 litres per min.
Statement II : The time taken by C to fill the tank is 60 min less than the time taken by B to empty the tank.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'D'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
A, B and C are three pipes in a tank. A and B are outlet pipes and C is an inlet pipe. The ratio of the efficiency of A : B is 3 : 1 and that of B : C is 1 : 2. What is the capacity of the tank?
Statement I : If all three pipes are opened, the water in the tank will decrease at the rate of 30 litres per min.
Statement II : The time taken by C to fill the tank is 60 min less than the time taken by B to empty the tank.
Statement II : The time taken by C to fill the tank is 60 min less than the time taken by B to empty the tank.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
 | Iq Funda answered |
Ratio of efficiency of A : B : C = 3 : 1 : 2
Let the efficiency of A = 9x, B = 3x and C = 6x
Let the efficiency of A = 9x, B = 3x and C = 6x
Using Statement I :
When all three pipes are opened
Water level decrease = 6x – 3x – 9x = – 6x
6x = 30 liters per min
x = 5 liters per min
But we cannot find the capacity of the tank.
So, statement I alone is not sufficient.
When all three pipes are opened
Water level decrease = 6x – 3x – 9x = – 6x
6x = 30 liters per min
x = 5 liters per min
But we cannot find the capacity of the tank.
So, statement I alone is not sufficient.
Using Statement II :
Ratio of efficiency of B : C = 1 : 2
Ratio of time taken by B : C = 2 : 1
But we cannot find the capacity of the tank.
So, statement II alone is not sufficient.
Ratio of efficiency of B : C = 1 : 2
Ratio of time taken by B : C = 2 : 1
But we cannot find the capacity of the tank.
So, statement II alone is not sufficient.
Using both Statement I and II :
Efficiency of A = 9x, B = 3x and C = 6x
x = 5 litres per min
Time taken by C to fill the tank
Tank capacity = 60 × 5 × 6 = 1800 liters
So, both the statements are together necessary.
Hence, option D is correct.
Efficiency of A = 9x, B = 3x and C = 6x
x = 5 litres per min
Time taken by C to fill the tank
Tank capacity = 60 × 5 × 6 = 1800 liters
So, both the statements are together necessary.
Hence, option D is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:A, B and C invested in a business for 6, 12 and 6 months, respectively. The investment of B was Rs. 5,000 more than the investment of A. What was the profit share of A from a total profit of Rs. 4500?Statement I: The combined profit share of B and C was 5 times the profit share of A.
Statement II: The investment of C was Rs. 10,000 less than thrice the investment of A.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'C'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
A, B and C invested in a business for 6, 12 and 6 months, respectively. The investment of B was Rs. 5,000 more than the investment of A. What was the profit share of A from a total profit of Rs. 4500?
Statement I: The combined profit share of B and C was 5 times the profit share of A.
Statement II: The investment of C was Rs. 10,000 less than thrice the investment of A.
Statement II: The investment of C was Rs. 10,000 less than thrice the investment of A.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
| | EduRev SSC CGL answered |
Let the investment of A = a, B = a + 5,000 and C = c
Ratio of time investment = a × 6 : (a + 5000) × 12 : c × 6
A : B : C = a : (2a + 10,000) : c
Statement I: The profit share of B and C was 5 times the profit share of A.
(2a + 10,000) + c = 5a
c = 3a – 10,000
A : B : C = a : (2a + 10,000) : 3a – 10,000
Total = a + 2a + 10,000 + 3a – 10,000 = 6a
So, statement I is alone sufficient
Ratio of time investment = a × 6 : (a + 5000) × 12 : c × 6
A : B : C = a : (2a + 10,000) : c
Statement I: The profit share of B and C was 5 times the profit share of A.
(2a + 10,000) + c = 5a
c = 3a – 10,000
A : B : C = a : (2a + 10,000) : 3a – 10,000
Total = a + 2a + 10,000 + 3a – 10,000 = 6a
So, statement I is alone sufficient
Statement II: The investment of C was Rs. 10,000 less than thrice the investment of A.
c = 3a – 10,000
A : B : C = a : (2a + 10,000) : 3a – 10,000
Total = a + 2a + 10,000 + 3a – 10,000 = 6a
So, statement II is alone sufficient
So, data in statement I or Statement II is sufficient
Hence, option C is correct.
c = 3a – 10,000
A : B : C = a : (2a + 10,000) : 3a – 10,000
Total = a + 2a + 10,000 + 3a – 10,000 = 6a
So, statement II is alone sufficient
So, data in statement I or Statement II is sufficient
Hence, option C is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:A mixture has milk and water in the ratio of 3 : 2. 20 liters of the mixture is taken out and then 20 liters of milk and 20 liters of water is added. What is the quantity of milk in the final mixture?Statement I: The difference between the quantity of milk and water in the final mixture is 16 liters.
Statement II: The ratio of the quantity of milk to that of water in the final mixture is 17 : 13.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'C'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
A mixture has milk and water in the ratio of 3 : 2. 20 liters of the mixture is taken out and then 20 liters of milk and 20 liters of water is added. What is the quantity of milk in the final mixture?
Statement I: The difference between the quantity of milk and water in the final mixture is 16 liters.
Statement II: The ratio of the quantity of milk to that of water in the final mixture is 17 : 13.
Statement II: The ratio of the quantity of milk to that of water in the final mixture is 17 : 13.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
| | Ssc Cgl answered |
Let milk = 3x and water = 2x
In the final mixture:
In the final mixture:
Using Statement I :
3x + 8 – (2x + 12) = 16
x = 20
2x + 12 – (3x + 8) = 16
x = – 12
So, statement I alone is sufficient.
3x + 8 – (2x + 12) = 16
x = 20
2x + 12 – (3x + 8) = 16
x = – 12
So, statement I alone is sufficient.
Using Statement II :
(3x + 8) : (2x + 12) = 17 : 13
x = 20
So, statement II is alone sufficient.
So, statement I alone or II alone is sufficient.
Hence, option C is correct.
(3x + 8) : (2x + 12) = 17 : 13
x = 20
So, statement II is alone sufficient.
So, statement I alone or II alone is sufficient.
Hence, option C is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:A book is marked 60% above its cost price and sold after two successive discounts. What is the percentage profit on the book?Statement I: The ratio of the amount of the first discount to the amount of the second discount is 4 : 9.
Statement II: If the second discount was not given, the amount of profit would have been 450% more.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'D'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
A book is marked 60% above its cost price and sold after two successive discounts. What is the percentage profit on the book?
Statement I: The ratio of the amount of the first discount to the amount of the second discount is 4 : 9.
Statement II: If the second discount was not given, the amount of profit would have been 450% more.
Statement II: If the second discount was not given, the amount of profit would have been 450% more.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
| | EduRev SSC CGL answered |
CP : MP = 100 : 160
CP = 100a and MP = 160a
Statement I or II alone is not sufficient
CP = 100a and MP = 160a
Statement I or II alone is not sufficient
Using both statements I and II:
Let D1 = 4x and D2 = 9x
SP = 160a – 13x
Profit = 60a –13x
Profit without the second discount = 60a – 4x
60a – 4x : 60a – 13x = 550 : 100
x = 4a
Profit = 60a – 13 × 4a = 8a
CP = 100a and Profit = 8a
We can calculate the percentage profit
So, both the statements are together necessary.
Hence, option D is correct.
Let D1 = 4x and D2 = 9x
SP = 160a – 13x
Profit = 60a –13x
Profit without the second discount = 60a – 4x
60a – 4x : 60a – 13x = 550 : 100
x = 4a
Profit = 60a – 13 × 4a = 8a
CP = 100a and Profit = 8a
We can calculate the percentage profit
So, both the statements are together necessary.
Hence, option D is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:The length of the diagonals of two adjacent walls of a room are √170 m and √193 m. What is the volume of the room?Statement I: The floor area of the room is 132 m2.
Statement II: The perimeter of the floor of the room is 46 m.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'C'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
The length of the diagonals of two adjacent walls of a room are √170 m and √193 m. What is the volume of the room?
Statement I: The floor area of the room is 132 m2.
Statement II: The perimeter of the floor of the room is 46 m.
Statement II: The perimeter of the floor of the room is 46 m.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
| | Iq Funda answered |
l2 + h2 = 193 and b2 + h2 = 170
l2 – b2 = 23 --------------- (1)
l2 – b2 = 23 --------------- (1)
Using Statement I:
l × b = 132 --------------- (2)
Using equations 1 and 2 we can find the value of l and b, and therefore h
Volume = l × b × h
So, statement I is alone sufficient.
l × b = 132 --------------- (2)
Using equations 1 and 2 we can find the value of l and b, and therefore h
Volume = l × b × h
So, statement I is alone sufficient.
Using Statement II:
2(l + b) = 46
l + b = 23 --------------- (3)
Using equations 1 and 3 we can find the value of l and b, and therefore h
Volume = l × b × h
So, statement II is alone sufficient.
Hence, option C is correct.
2(l + b) = 46
l + b = 23 --------------- (3)
Using equations 1 and 3 we can find the value of l and b, and therefore h
Volume = l × b × h
So, statement II is alone sufficient.
Hence, option C is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:A boat is 1.25 times as fast along a stream as it is in still water. What will be the time taken by the boat to cover a distance of 80 km upstream and return to the starting point?Statement I: The time taken by the boat to cover 80 km along the stream is 1/5th of the time taken to cover 240 km against the stream.Statement II: The boat covers a certain distance in still water in 9 hours and takes 12 hours to cover the same distance in upstream.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data given in both I & II together are not sufficient to answer the question
Correct answer is option 'D'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
A boat is 1.25 times as fast along a stream as it is in still water. What will be the time taken by the boat to cover a distance of 80 km upstream and return to the starting point?
Statement I: The time taken by the boat to cover 80 km along the stream is 1/5th of the time taken to cover 240 km against the stream.
Statement II: The boat covers a certain distance in still water in 9 hours and takes 12 hours to cover the same distance in upstream.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data given in both I & II together are not sufficient to answer the question
| | Ssc Cgl answered |
Let still water speed be b and stream speed be c
b + c = 1.25b
b : c = 4 : 1
b + c = 1.25b
b : c = 4 : 1
Statement I:
b : c = 4/1
b : c = 4/1
Statement II:
b : (b – c) = 12 : 9
b : c = 4 : 1
Using both the statements also, we will get only b : c = 4 : 1
So, both the statements together are insufficient
Hence, option D is correct.
b : (b – c) = 12 : 9
b : c = 4 : 1
Using both the statements also, we will get only b : c = 4 : 1
So, both the statements together are insufficient
Hence, option D is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:The speed of train A and B is 24 m/s and 32 m/s, respectively. In how many seconds will they cross each other in opposite directions?Statement I : Train A can cross a pole in 15 seconds.
Statement II : The length of train B is 568 m more than that of train A.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'D'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
The speed of train A and B is 24 m/s and 32 m/s, respectively. In how many seconds will they cross each other in opposite directions?
Statement I : Train A can cross a pole in 15 seconds.
Statement II : The length of train B is 568 m more than that of train A.
Statement II : The length of train B is 568 m more than that of train A.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
 | T.S Academy answered |
We need the length of both trains A and B
For that, we need both the statements
Length of A = 24 × 15 = 360 m
Length of B = 360 + 568 = 928 m
Time to cross in opposite directions
So, both the statements are together necessary.
Hence, option D is correct.
For that, we need both the statements
Length of A = 24 × 15 = 360 m
Length of B = 360 + 568 = 928 m
Time to cross in opposite directions
So, both the statements are together necessary.
Hence, option D is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:A, B and C are three workers where B is twice as efficient as C. In how many days all three of them can complete a task?
Statement I : B and C together can complete the task in 40 days.
Statement II : B takes 30 days less than A to complete the same task.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'D'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
A, B and C are three workers where B is twice as efficient as C. In how many days all three of them can complete a task?
Statement I : B and C together can complete the task in 40 days.
Statement II : B takes 30 days less than A to complete the same task.
Statement I : B and C together can complete the task in 40 days.
Statement II : B takes 30 days less than A to complete the same task.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
| | EduRev SSC CGL answered |
Let the time taken A, B and C be a, b and c and T be the task
b : c = 1 : 2
No data about A in statement I
No comparison between efficiency of A and B in statement II
b : c = 1 : 2
No data about A in statement I
No comparison between efficiency of A and B in statement II
Using both statement I and II:
b = 60
c = 120
a – b = 30
a = 30 + 60 = 90
So, statements I and II are together necessary
Hence, option D is correct.
b = 60
c = 120
a – b = 30
a = 30 + 60 = 90
So, statements I and II are together necessary
Hence, option D is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:The average weight of P, Q, R and S is 48.25 kg. What is the average weight of S and R?Statement I: The average weight of P, R and S is 51 kg.
Statement II: The average weight of Q, R and S is 47 kg.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'D'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
The average weight of P, Q, R and S is 48.25 kg. What is the average weight of S and R?
Statement I: The average weight of P, R and S is 51 kg.
Statement II: The average weight of Q, R and S is 47 kg.
Statement II: The average weight of Q, R and S is 47 kg.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
| | T.S Academy answered |
P + Q + R + S = 4 × 48.25 ------------- (1)
Statement I or II alone is not sufficient
Using both the statements:
P + R + S = 3 × 51 ------------- (2)
Q + R + S = 3 × 47 ------------- (3)
Using (2) + (3) – (1) we get the value of R + S
So, both the statements are together necessary.
Hence, option D is correct.
Statement I or II alone is not sufficient
Using both the statements:
P + R + S = 3 × 51 ------------- (2)
Q + R + S = 3 × 47 ------------- (3)
Using (2) + (3) – (1) we get the value of R + S
So, both the statements are together necessary.
Hence, option D is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:From 2020 to 2021, the strength of the class increased by 600 students. What is the increase in the number of boys?Statement I: The number of girls increased by 33.33% from 2020 to 2021.
Statement II: The number of boys became twice from 2020 to 2021.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data given in both I & II together are not sufficient to answer the question
Correct answer is option 'D'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
From 2020 to 2021, the strength of the class increased by 600 students. What is the increase in the number of boys?
Statement I: The number of girls increased by 33.33% from 2020 to 2021.
Statement II: The number of boys became twice from 2020 to 2021.
Statement II: The number of boys became twice from 2020 to 2021.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data given in both I & II together are not sufficient to answer the question
| | Ssc Cgl answered |
Let the number of boys be B and girls be G
Strength 2020 = B + G, 2021 = B + G + 600
Strength 2020 = B + G, 2021 = B + G + 600
Statement I: No data about boys in the class.
Statement II: We know the ratio of change in number of boys but cannot compare it to any number.
Statement II: We know the ratio of change in number of boys but cannot compare it to any number.
Using both the statements:
Boys in 2021 = 2B
Still, we cannot find the increase in the number of boys.
So, both the statements are together insufficient.
Hence, option D is correct.
Boys in 2021 = 2B
Still, we cannot find the increase in the number of boys.
So, both the statements are together insufficient.
Hence, option D is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:A boat is moving in a stream. What is the speed of the stream?Statement I: The boat covers ‘7x’ km downstream in 3 hours and a distance of ‘5x’ km upstream in 5 hours.
Statement II: The boat covers 80 km in still water in 16 hours.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'D'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
A boat is moving in a stream. What is the speed of the stream?
Statement I: The boat covers ‘7x’ km downstream in 3 hours and a distance of ‘5x’ km upstream in 5 hours.
Statement II: The boat covers 80 km in still water in 16 hours.
Statement II: The boat covers 80 km in still water in 16 hours.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
| | Ssc Cgl answered |
Let the still water speed be b and stream speed be c
Statement I: No data about the speed.
So, statement I alone is not sufficient.
So, statement I alone is not sufficient.
Statement II: No data about the stream.
So, statement II alone is not sufficient.
So, statement II alone is not sufficient.
Using both the statements:
(b + c) × 3 : (b – c) × 5 = 7 : 5
b : c = 5 : 2
Still water speed of the boat
As, b = 5 km/h, therefore c = 2 km/h
So, both the statements are together necessary.
Hence, option D is correct.
(b + c) × 3 : (b – c) × 5 = 7 : 5
b : c = 5 : 2
Still water speed of the boat
As, b = 5 km/h, therefore c = 2 km/h
So, both the statements are together necessary.
Hence, option D is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:If ‘a’ and ‘b’ are two prime numbers, what is the difference between the values of a & b?Statement I : a + b = 30
Statement II : a < 20 and b < 20- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data given in both I & II together are not sufficient to answer the question
Correct answer is option 'D'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
If ‘a’ and ‘b’ are two prime numbers, what is the difference between the values of a & b?
Statement I : a + b = 30
Statement II : a < 20 and b < 20
Statement II : a < 20 and b < 20
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data given in both I & II together are not sufficient to answer the question
| | EduRev SSC CGL answered |
Statement I: a + b = 30
There are 3 possibilities
a, b = (11, 19), (13, 17) or (7, 23)
So, statement I alone is not sufficient.
There are 3 possibilities
a, b = (11, 19), (13, 17) or (7, 23)
So, statement I alone is not sufficient.
Statement II: a < 20 and b < 20
So, statement II alone is not sufficient.
So, statement II alone is not sufficient.
Using both the statements:
a, b = (11, 19), (13, 17) or (7, 23)
a < 20 and b < 20
Still, we can eliminate only one option (7, 23)
So, both the statements are together insufficient.
Hence, option D is correct.
a, b = (11, 19), (13, 17) or (7, 23)
a < 20 and b < 20
Still, we can eliminate only one option (7, 23)
So, both the statements are together insufficient.
Hence, option D is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:The ratio of the cost price of three items A, B and C is in the ratio 6 : 5 : 4, respectively. The cost price and selling price of the 3 items are integers and less than Rs. 100. If the cost prices of 3 items are multiples of 5, what is the cost price of C?Statement I A is sold at a profit of Rs. 12.
Statement II: B and A are sold at the same price and the profit on B is Rs. 10 more than the profit on A.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'B'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
The ratio of the cost price of three items A, B and C is in the ratio 6 : 5 : 4, respectively. The cost price and selling price of the 3 items are integers and less than Rs. 100. If the cost prices of 3 items are multiples of 5, what is the cost price of C?
Statement I A is sold at a profit of Rs. 12.
Statement II: B and A are sold at the same price and the profit on B is Rs. 10 more than the profit on A.
Statement II: B and A are sold at the same price and the profit on B is Rs. 10 more than the profit on A.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
| | T.S Academy answered |
Cost prices and selling prices are less than Rs. 100
CP of A : B : C = 6 : 5 : 4
Possible combinations of CP are (30, 25, 20), (60, 50, 40), (90, 75, 60)
CP of A : B : C = 6 : 5 : 4
Possible combinations of CP are (30, 25, 20), (60, 50, 40), (90, 75, 60)
Using Statement I :
Profit on A is Rs. 12
So, the CP of A cannot be 90
As SP will be 102 and it cannot be more than 100
Possible combinations of CP of (A, B, C) are (30, 25, 20) and (60, 50, 40)
But, we cannot find a single value of CP
So, statement I alone is not sufficient.
Profit on A is Rs. 12
So, the CP of A cannot be 90
As SP will be 102 and it cannot be more than 100
Possible combinations of CP of (A, B, C) are (30, 25, 20) and (60, 50, 40)
But, we cannot find a single value of CP
So, statement I alone is not sufficient.
Using Statement II :
B and A are sold at the same price and profit on B is Rs. 10 more than profit on A.
Only possible when cost price of A is Rs. 10 more than that of B
Possible combination of CP of (A, B, C) is (60, 50, 40)
So, cost price of C is Rs. 40
So, statement II is alone sufficient.
Hence, option B is correct.
B and A are sold at the same price and profit on B is Rs. 10 more than profit on A.
Only possible when cost price of A is Rs. 10 more than that of B
Possible combination of CP of (A, B, C) is (60, 50, 40)
So, cost price of C is Rs. 40
So, statement II is alone sufficient.
Hence, option B is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:A, B and C invested in a business for one year. What is the profit share of B out of a total profit of Rs. 7200?Statement I : A invested half the total amount invested by B and C together.Statement II : If A and C double their investment and the total profit amount remains the same, B would receive Rs. 700 less profit and A would receive Rs. 300 more profit.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'D'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
A, B and C invested in a business for one year. What is the profit share of B out of a total profit of Rs. 7200?
Statement I : A invested half the total amount invested by B and C together.
Statement II : If A and C double their investment and the total profit amount remains the same, B would receive Rs. 700 less profit and A would receive Rs. 300 more profit.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
| | Iq Funda answered |
Using Statement I :
Ratio of profit share of A : (B + C) = 1 : 2
But we cannot find the amount of profit of B.
So, statement I alone is not sufficient.
Ratio of profit share of A : (B + C) = 1 : 2
But we cannot find the amount of profit of B.
So, statement I alone is not sufficient.
Using Statement II :
Let the initial profit be a, b and c
As the total profit remains the same
(a + 300), (b – 700) and (c + 400)
As both A and C double their investment, the ratio of their profit remains the same.
a/c = 3/4
But we cannot find the profit share of B.
So, statement II alone is not sufficient.
Let the initial profit be a, b and c
As the total profit remains the same
(a + 300), (b – 700) and (c + 400)
As both A and C double their investment, the ratio of their profit remains the same.
a/c = 3/4
But we cannot find the profit share of B.
So, statement II alone is not sufficient.
Using both Statement I and II:
Ratio of profit share of A : (B + C) = 1 : 2
A : C = 3 : 4
A : B : C = 3 : 2 : 4
So, both the statements are together necessary.
Hence, option D is correct.
Ratio of profit share of A : (B + C) = 1 : 2
A : C = 3 : 4
A : B : C = 3 : 2 : 4
So, both the statements are together necessary.
Hence, option D is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:PQ is a track and R is its mid-point. Suraj is at point P and Vimal is at point Q. What is the length of the track PQStatement I: If Suraj and Vimal run toward each other they meet at a point which is 80m away from point R.
Statement II: The time taken by Suraj to cover PR is 7/18 times the time taken by Vimal to cover PQ.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'D'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
PQ is a track and R is its mid-point. Suraj is at point P and Vimal is at point Q. What is the length of the track PQ
Statement I: If Suraj and Vimal run toward each other they meet at a point which is 80m away from point R.
Statement II: The time taken by Suraj to cover PR is 7/18 times the time taken by Vimal to cover PQ.
Statement II: The time taken by Suraj to cover PR is 7/18 times the time taken by Vimal to cover PQ.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
| | T.S Academy answered |
Using Statement I:
We do not have the speed comparison of Suraj And Vimal
So, statement I alone is not sufficient.
We do not have the speed comparison of Suraj And Vimal
So, statement I alone is not sufficient.
Using Statement II:
Ratio of the speed of Suraj : Vimal = 18 : 14
We do not have any information about the length of track.
So, statement II alone is not sufficient.
Ratio of the speed of Suraj : Vimal = 18 : 14
We do not have any information about the length of track.
So, statement II alone is not sufficient.
Using both Statement I and II :
Ratio of the speed of Suraj : Vimal = 18 : 14
Difference between the distance covered = 2 × 80m
So, both the statements are together necessary.
Hence, option D is correct.
Ratio of the speed of Suraj : Vimal = 18 : 14
Difference between the distance covered = 2 × 80m
So, both the statements are together necessary.
Hence, option D is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:‘x’ and ‘y’ are positive integers such that 5x + 3y = 46. What is the difference between ‘x’ and ‘y’?Statement I: x + 3 is prime.
Statement II: x + y is not prime.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data given in both I & II together are not sufficient to answer the question
Correct answer is option 'D'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
‘x’ and ‘y’ are positive integers such that 5x + 3y = 46. What is the difference between ‘x’ and ‘y’?
Statement I: x + 3 is prime.
Statement II: x + y is not prime.
Statement II: x + y is not prime.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data given in both I & II together are not sufficient to answer the question
| | EduRev SSC CGL answered |
5x + 3y = 46
For
y = 2, x = 8
y = 7, x = 5
y = 12, x = 2
For
y = 2, x = 8
y = 7, x = 5
y = 12, x = 2
Using Statement I : x + 3 is prime
8 + 3 = 11
5 + 3 = 8
2 + 3 = 5
Still, we are left with two choices for the value of x (8 and 2)
So, statement I alone is not sufficient.
8 + 3 = 11
5 + 3 = 8
2 + 3 = 5
Still, we are left with two choices for the value of x (8 and 2)
So, statement I alone is not sufficient.
Using Statement II : x + y is not prime.
x + y = 2 + 8 = 10
x + y = 7 + 5 = 12
x + y = 12 + 2 = 14
As we cannot rule out any possibility
So, statement II alone is not sufficient.
x + y = 2 + 8 = 10
x + y = 7 + 5 = 12
x + y = 12 + 2 = 14
As we cannot rule out any possibility
So, statement II alone is not sufficient.
Using both Statements I and II :
For x = 8, and x = 2
x + 3 is prime and x + y is not prime
So, both the statements are together insufficient.
Hence, option D is correct.
For x = 8, and x = 2
x + 3 is prime and x + y is not prime
So, both the statements are together insufficient.
Hence, option D is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:What is the value of X and Y in the number 2X7Y00?Statement I: 2X7Y00 is divisible by 8 and 9.
Statement II: 2X7Y00 is divisible by 11.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data given in both I & II together are not sufficient to answer the question
Correct answer is option 'D'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
What is the value of X and Y in the number 2X7Y00?
Statement I: 2X7Y00 is divisible by 8 and 9.
Statement II: 2X7Y00 is divisible by 11.
Statement II: 2X7Y00 is divisible by 11.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data given in both I & II together are not sufficient to answer the question
| | Pioneer Academy answered |
Statement I: 2X7Y00 is divisible by 8 and 9
Y00 is divisible by 8
So, Y can be 0, 2, 4, 6, 8
2 + X + 7 + Y is divisible by 9
So, X + Y = 0, 9, 18
Multiple possibilities for X and Y.
So, statement I alone is not sufficient.
Y00 is divisible by 8
So, Y can be 0, 2, 4, 6, 8
2 + X + 7 + Y is divisible by 9
So, X + Y = 0, 9, 18
Multiple possibilities for X and Y.
So, statement I alone is not sufficient.
Statement II: 2X7Y00 is divisible by 11
(2 + 7 + 0) – (X + Y + 0) = Multiple of 11
So, X + Y = 9
But we can’t find the value of X and Y.
So, statement I alone is not sufficient.
(2 + 7 + 0) – (X + Y + 0) = Multiple of 11
So, X + Y = 9
But we can’t find the value of X and Y.
So, statement I alone is not sufficient.
Using both the Statements:
X + Y = 9
Y can be 0, 2, 4, 6, 8
We get no definite value of X and Y
So, both the statements are together insufficient.
Hence, option D is correct.
X + Y = 9
Y can be 0, 2, 4, 6, 8
We get no definite value of X and Y
So, both the statements are together insufficient.
Hence, option D is correct.
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:The roots of the equation ax2 + bx + c = 0 are p and q. What is the value of p + q?Statement I: p : q = 6 : 5
Statement II: The roots of the equation x2 – 9x + 20 = 0 are p + 1 and 2q.- a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
- b)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
- c)If data either in statement I alone or statement II alone is sufficient to answer the question
- d)If data in both statements I & II together are necessary to answer the question
Correct answer is option 'D'. Can you explain this answer?
Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
The roots of the equation ax2 + bx + c = 0 are p and q. What is the value of p + q?
Statement I: p : q = 6 : 5
Statement II: The roots of the equation x2 – 9x + 20 = 0 are p + 1 and 2q.
Statement II: The roots of the equation x2 – 9x + 20 = 0 are p + 1 and 2q.
a)
If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
b)
If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
c)
If data either in statement I alone or statement II alone is sufficient to answer the question
d)
If data in both statements I & II together are necessary to answer the question
| | Pioneer Academy answered |
Using Statement I : No value is given, thus it is insufficient.
Using Statement II :
x2 – 9x + 20 = 0
(x – 4) (x – 5) = 0
x = 4, 5
p + 1 = 4 and 2q = 5
p = 3, q = 5/2
p + 1 = 5 and 2q = 4
p = 4 and q = 2
Multiple values are possible.
So, statement II alone is not sufficient.
x2 – 9x + 20 = 0
(x – 4) (x – 5) = 0
x = 4, 5
p + 1 = 4 and 2q = 5
p = 3, q = 5/2
p + 1 = 5 and 2q = 4
p = 4 and q = 2
Multiple values are possible.
So, statement II alone is not sufficient.
Using both Statement I and II :
p + 1 = 4 and 2q = 5
p + 1 = 5 and 2q = 4
p = 4 and q = 2 (not possible)
So, both the statements are together necessary.
Hence, option D is correct.
p + 1 = 4 and 2q = 5
p + 1 = 5 and 2q = 4
p = 4 and q = 2 (not possible)
So, both the statements are together necessary.
Hence, option D is correct.
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