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All questions of Data Sufficiency for UPSC CSE Exam

Directions to Solve: In 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:
- (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
- (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
- (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
- (D) If the data given in both statements I and II together are not sufficient to answer the question and
- (E) If the data in both statements I and II together are necessary to answer the question.
Question: How is Tanya(girl) related to the man in the photograph ?
Statements:
I.
Man in the photograph is the only son of Tanya's grandfather.

II.The man in the photograph has no brothers or sisters and his father is Tanya's grandfather.
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    Both I and II are sufficient
  • c)
    II alone is sufficient while I alone is not sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Either I or II is sufficient 
Correct answer is option 'B'. Can you explain this answer?

Rahul Gupta answered
From statement I, we know that the man in the photograph is the only son of Tanya's grandfather. This means that Tanya is either the man's daughter or granddaughter.

From statement II, we know that the man in the photograph has no brothers or sisters and his father is Tanya's grandfather. This confirms that Tanya is the man's daughter or granddaughter.

Combining both statements, we can conclude that Tanya is either the daughter or granddaughter of the man in the photograph.

Directions to Solve: In 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 mark the appreciate answer.
Question: How many children does M have?
Statements:
I. 
H is the only daughter of X who is wife of M.

II. K and J are brothers of M.
  • a)
    II alone is sufficient while I alone is not sufficient
  • b)
    Neither I nor II is sufficient
  • c)
    Either I or II is sufficient
  • d)
    I alone is sufficient while II alone is not sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'D'. Can you explain this answer?

Ishita Reddy answered
The correct answer is:
d) I alone is sufficient while II alone is not sufficient
Explanation:
  • Statement I: H is the only daughter of X, who is the wife of M. This means M has at least one child (H, the daughter). Therefore, this statement alone is sufficient to answer that M has one child.
  • Statement II: K and J are brothers of M. This information provides no direct insight into how many children M has, as it talks about M's brothers, not M's children. Therefore, this statement alone is not sufficient to answer the question.
Hence, Statement I alone is sufficient, while Statement II alone is not sufficient to answer the question.

Directions to SolveIn 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 andGive answer
 (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
(B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
 (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
(D) If the data given in both statements I and II together are not sufficient to answer the question and (E) If the data in both statements I and II together are necessary to answer the question.
Question - 
Question: What does '$' mean in a code language?
Statements:I.'5$#3' means 'flowers are really good'.II.'7#35' means 'good flowers are available'.
a)I alone is sufficient while II alone is not sufficient
b)II alone is sufficient while I alone is not sufficient
c)Either I or II is sufficient
d)Neither I nor II is sufficient
e)Both I and II are sufficient
Correct answer is option 'E'. Can you explain this answer?

Jaya Gupta answered
In I and II, the common codes are '5', '#' and '3' and the common words are 'flowers', 'are' and 'good'. Thus, in I, the remaining code '$' stands for 'really'.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
Question -
Question: How many children are there in the row of children facing North ?
Statements:
I.
Vishakha who is fifth from the left end is eighth to the left of Ashish who is twelfth from the right end.

II.Rohit is fifth to the left of Nisha who is seventh from the right end and eighteenth from the left end.
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'C'. Can you explain this answer?

Arya Mehta answered
Since 8th to the left of 12th from the right is 20th from the right, so from I, we know that Vishakha is 5th from left and 20th from right i.e. there are 4 children to the left and 19 to the right of Vishakha. So, there are (4 + 1 + 19) i.e. 24 children in the row.
From II, Nisha is 7th from right and 18th from left end of the row.
So, there are (6 + 1 + 17) = 24 children in the row.

Directions to Solve: In 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: -
(A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question -
(B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question -
(C) If the data either in statement I alone or in statement II alone are sufficient to answer the question -
(D) If the data given in both statements I and II together are not sufficient to answer the question and -
(E) If the data in both statements I and II together are necessary to answer the question.
Question: What is the rank of K from bottom in a class of 30 students?
Statements:
I.M is third from the top and there are five students between M and K.
II.The rank of P is fourth from the bottom and there are 17 students between P and K.
  • a)
    Data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • b)
    Data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • c)
    Data either in Statement I alone or in Statement II alone are sufficient to answer the question.
  • d)
    Data in both the Statements I and II together are not sufficient to answer the question.
  • e)
    Data in both the Statements I and II together are necessary to answer the question.
Correct answer is option 'C'. Can you explain this answer?

Statement Analysis:

Statement I:
- M is third from the top and there are five students between M and K.
- This statement provides information about the position of M and the number of students between M and K, but it does not directly give the rank of K from the bottom.
- Therefore, statement I alone is not sufficient to answer the question.

Statement II:
- The rank of P is fourth from the bottom and there are 17 students between P and K.
- This statement gives information about the position of P and the number of students between P and K, but it also does not directly provide the rank of K from the bottom.
- Hence, statement II alone is also not sufficient to answer the question.

Combined Analysis:
- Combining both statements, we can determine the positions of M, P, and the number of students between them and K.
- However, we still do not have the exact rank of K from the bottom.
- Therefore, even when we consider both statements together, the data is still not enough to give a definitive answer.
Therefore, the correct answer is option C: Data either in Statement I alone or in Statement II alone are sufficient to answer the question.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: What is Nitin's rank from the top in a class of forty students ?
Statements:
I.
There are ten students between Nitin and Deepak.

II.Deepak is twentieth from the top.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'D'. Can you explain this answer?

Maulik Roy answered
Since there are ten students between Nitin and Deepak, so Nitin may be eleven ranks above or below Deepak. Thus, Nitin may be 9th or 31st from the top.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: In a row of five buildings - P, Q, R, S and T, which building is in the middle ?
Statements:
I.
Buildings S and Q are at the two extreme ends of the row.

II.Building ,T is to the right of building R.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'D'. Can you explain this answer?

Alok Verma answered
From I, we have the order : S, -, -, -, Q. From II, we have the order : R, T. Combining the above two, we get two possible orders : S, R, T, P, Q or S, P, R, T, Q. Thus, either T or R is in the middle.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: How many visitors saw the exhibition yesterday ?
Statements:
I.
Each entry pass holder can take up to three persons with him/her.

II.In all, 243 passes were sold yesterday.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'D'. Can you explain this answer?

From I and II, we find that maximum (243 x 3) i.e. 729 visitors saw the exhibition.
But the exact number cannot be determined.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: In a certain code, '13' means 'stop smoking' and '59' means 'injurious habit'. What do '9' and '5' mean respectively in that code ?
Statements:
I.
'157' means 'stop bad habit'.

II.'839' means 'smoking is injurious'.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'C'. Can you explain this answer?

'59' means 'injurious habit' and '157' means 'stop bad habit' (from I). Thus, the common code number '5' stands for common word 'habit'. So, '9' represents 'injurious'. Hence, I is sufficient.
Also, '59' means 'injurious habit' and '839' means 'smoking is injurious'. Thus, the common code number '9' stands for common word 'injurious'. So, '5' represents 'habit'. Thus, II is also sufficient.,

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
Question -
Question: On which day of the week was birthday of Sahil ?
Statements:
I.
Sahil celebrated his birthday the very next day on which Arun celebrated his birthday.

II.The sister of Sahil was born on the third day of the week and two days after Sahil was born.
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'B'. Can you explain this answer?

Anand Goyal answered
I does not mention the day of the week on the birthday of either Arun or Sahil.
According to II, Sahil's sister was born on Wednesday and Sahil was born two days before Wednesday i.e. on Monday.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: In a certain code language, '297' means 'tie clip button'. Which number means 'button' in that language ?
Statements:
I.
In that language, '926' means clip your tie'.

II.In that language, '175' means 'hole and button'.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'C'. Can you explain this answer?

Nabanita Gupta answered
In given statement and I, the common words are 'tie' and 'clip' and the common codes are '2' and '9'. So, '2' and '9' are the codes for 'tie' and 'clip'. Thus, in the given statement, '7' means 'button'. In given statement and II, the common code word '7' represents the common word 'button'.

Directions to Solve: In 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:
- (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
- (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
- (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
- (D) If the data given in both statements I and II together are not sufficient to answer the question and
- (E) If the data in both statements I and II together are necessary to answer the question.
Question: Which word in the code language means 'flower' ?
Statements:
I.
'de fu la pane' means 'rose flower is beautiful' and 'la quiz' means 'beautiful tree'.

II.'de la chin' means 'red rose flower' and 'pa chin' means 'red tea'.
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    Neither I nor II is sufficient
  • c)
    Either I or II is sufficient
  • d)
    II alone is sufficient while I alone is not sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'D'. Can you explain this answer?

Deepak Basu answered
Understanding the Question
The question asks which word in a coded language means "flower". We are given two statements to analyze the available information regarding the codes for various words.
Analyzing Statement I
- Statement I: "de fu la pane" means "rose flower is beautiful" and "la quiz" means "beautiful tree".
From this statement:
- We know that "la" means "beautiful" (common in both phrases).
- The word "fu" is likely related to "rose" since it appears in the context of flowers.
- However, we do not have explicit information about the word for "flower".
This means Statement I alone is not sufficient to determine which word means "flower".
Analyzing Statement II
- Statement II: "de la chin" means "red rose flower" and "pa chin" means "red tea".
From this statement:
- The word "chin" is common, indicating it means "red".
- Here, "de" is likely "flower" because it connects with "rose" in the phrase "red rose flower".
Thus, Statement II alone provides sufficient information to conclude that "de" means "flower".
Conclusion
- Statement I alone does not provide enough information about the word for "flower".
- Statement II alone is sufficient, as it directly includes the word associated with "flower".
Therefore, the answer is option 'D': Statement II alone is sufficient while Statement I alone is not sufficient.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
Question -
Question: How many students in a class play football ?
Statements:
I.
Only boys play football.

II.There are forty boys and thirty girls in the class.
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'D'. Can you explain this answer?

Ritika Yadav answered
Statement Analysis:

Statement I:
- Only boys play football.
- This statement alone does not provide a specific number of students playing football since the total number of boys in the class is not given.

Statement II:
- There are forty boys and thirty girls in the class.
- This statement alone does not provide the information on how many students play football as it does not specify whether girls play football or not.

Combined Analysis:
- Combining both statements, we know that there are forty boys in the class, but we do not know if all boys play football.
- Additionally, we are not provided any information about the girls playing football.
- Therefore, even when the two statements are considered together, we cannot determine the exact number of students who play football.
Therefore, the correct answer is option D) Neither I nor II is sufficient.

Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers.
Question: Is a number T divisible by 144?
Statements: 
I.
T is a multiple of 216.
II. T is divisible by square of cube of 2.
  • a)
    Choose this option if the Question can be answered by one of the Statements alone but not by the other.  
  • b)
    Choose this option if the Question can be answered by either Statement alone.
  • c)
    Choose this option if the Question can be answered by using both Statements together, but cannot be answered by using either Statement alone.  
  • d)
    Choose this option if the Question cannot be answered even by using both Statements together.
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Gowri Kaur answered
Understanding the Question
To determine if the number T is divisible by 144, we need to analyze the two statements provided.
Statement I: T is a multiple of 216
- Factors of 216:
- 216 = 2^3 * 3^3
- Factors of 144:
- 144 = 2^4 * 3^2
- Conclusion from Statement I:
- T being a multiple of 216 means it has at least 3 factors of 2 and 3 factors of 3. However, it does not have enough information about the fourth factor of 2 needed for divisibility by 144. Thus, Statement I alone is not sufficient.
Statement II: T is divisible by the square of the cube of 2
- Understanding the Statement:
- The square of the cube of 2 is (2^3)^2 = 2^6.
- Conclusion from Statement II:
- T being divisible by 2^6 tells us it has at least six factors of 2. However, there is no information about the factors of 3, which are also required for divisibility by 144. Thus, Statement II alone is not sufficient.
Combining Both Statements
- From Statement I: T has at least 3 factors of 2 and 3 factors of 3.
- From Statement II: T has at least 6 factors of 2.
- Combining Information:
- Overall, T has at least 6 factors of 2 and 3 factors of 3. This satisfies the requirement for divisibility by 144 (2^4 * 3^2), as it includes enough factors of both 2 and 3.
Final Conclusion
Since both statements together provide sufficient information to answer the question while neither does so alone, the correct answer is option 'C'.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: Can Ritesh retire from office X in January 2006, with full pension benefits ?
Statements:
I.
Ritesh will complete 30 years of service in office X in April 2000 and desires to retire.

II.As per office X rules, an employee has to complete minimum 30 years of service and attain age of 60. Ritesh has 3 years to complete age of 60.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'E'. Can you explain this answer?

Anjana Joshi answered
Understanding the Question
To determine if Ritesh can retire from office X in January 2006 with full pension benefits, we need to analyze the provided statements.
Statement I Analysis
- Ritesh will complete 30 years of service in office X in April 2000 and desires to retire.
- This indicates that Ritesh has completed the required service time for retirement.
- However, we do not know if he meets the age requirement to retire in January 2006.
Statement II Analysis
- As per office X rules, an employee must complete a minimum of 30 years of service and attain the age of 60 to retire.
- The statement confirms that Ritesh has 3 years left to reach the age of 60.
- This means Ritesh will not turn 60 until 2009, making him ineligible for retirement in January 2006.
Combining Statements I and II
- Statement I confirms Ritesh's service duration.
- Statement II clarifies the age requirement and confirms Ritesh will not be 60 until 2009.
Conclusion
- Both statements are essential to conclude that Ritesh cannot retire in January 2006 with full pension benefits.
- Thus, the correct answer is option 'E': Both I and II are necessary to answer the question.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: Among A, B, C, D, E and F, who is the heaviest ?
Statements:
I.
A and D are heavier than B, E and F but none of them is the heaviest.

II.A is heavier than D but lighter than C.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'A'. Can you explain this answer?

Athira Sen answered
From I, we conclude that since none of A and D is the heaviest and each one of B, E and F is lighter than both A and D, so C is the heaviest.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: Vinod's and Javed's salaries are in the proportion of 4 : 3 respectively. What is Vinod's salary ?
Statements:
I.
Javed's salary is 75% that of Vinod's salary.

II.Javed's salary is Rs 4500.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'B'. Can you explain this answer?

Bhavya Chopra answered
Understanding the Problem
To determine Vinod's salary, we know that the ratio of Vinod's salary (V) to Javed's salary (J) is 4:3. We need to analyze each statement to see if they provide sufficient information to find Vinod's salary.
Statement I Analysis
- Statement I states: "Javed's salary is 75% that of Vinod's salary."
- This implies J = 0.75V.
- If we substitute the known ratio (V/J = 4/3), we can express J in terms of V:
- From the ratio, J = (3/4)V.
- Setting both expressions for J equal gives:
- 0.75V = (3/4)V, which is consistent but does not provide a specific salary for V.
Conclusion for Statement I: Insufficient alone.
Statement II Analysis
- Statement II states: "Javed's salary is Rs 4500."
- If J = 4500, we can use the ratio to find Vinod's salary:
- From the proportion, V = (4/3) * J = (4/3) * 4500.
- Therefore, V = 6000.
Conclusion for Statement II: Sufficient alone.
Final Assessment
- Since Statement II alone is sufficient to calculate Vinod's salary while Statement I alone is not, the correct answer is (B): "II alone is sufficient while I alone is not sufficient."

Directions to Solve: In 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 mark the appreciate answer.
Question: How is J related to P?
Statements:
I. 
M is brother of P and T is sister of P.

II. P's mother is married to J's husband who has one son and two daughters.
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'B'. Can you explain this answer?

Dhruv Mehra answered
According to the question, if we see that the statements as given below:
Statement I, M is the brother of P and T is the sister of P.
From I, the relation between J and P cannot be determined.
From statement II, we know that P's mother is married to J's husband, which means that J is P's mother.
Hence, If the data in statement I alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question is the correct answer.
So Option B is correct

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: On which day of the week did Hitesh visit the zoo ?
Statements:
I.
Hitesh did not visit zoo either on Tuesday or on Thursday.

II.Hitesh visited zoo two days before his mother reached his house which was day after Monday.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'B'. Can you explain this answer?

Janhavi Chopra answered
According to I, Hitesh visited the zoo on any of the week days except Tuesday and Thursday.
According to II, Hitesh's mother reached his house day after Monday i.e. on Tuesday.
Thus, Hitesh visited zoo two days before Tuesday i.e. on Sunday.

Directions to Solve: In 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 mark the appreciate answer.
Question: How is X related to Y?
Statements:
I. 
Y says, "I have only one brother".

II. X says, "I have only one sister".
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'D'. Can you explain this answer?

Explanation:

Statement I:
Y says, "I have only one brother."
- This statement indicates that Y is male and has only one brother. However, it does not provide any information about X or the relationship between X and Y.

Statement II:
X says, "I have only one sister."
- This statement indicates that X is female and has only one sister. Similar to Statement I, this statement alone does not provide any information about Y or the relationship between X and Y.

Combined:
- When we combine both statements, we can deduce that X is female and has only one sister, while Y is male and has only one brother. However, we still cannot determine the exact relationship between X and Y. They could be siblings, cousins, or even unrelated.
Therefore, the data given in both statements I and II together are not sufficient to answer the question of how X is related to Y. Hence, the correct answer is option (D) Neither I nor II is sufficient.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: How many speeches were delivered in the two days' programme ?
Statements:
I.
18 speakers were invited to give at least one speech (maximum of two speech), out of which one-sixth of the speakers could not come.

II.One-third of the speakers gave two speeches each.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'E'. Can you explain this answer?

Nidhi Rane answered
From I, we find that number of speakers who attended programme =18-(1/6) of 18 = 15.
From II, we find that one-third of 15 i.e. 5 speakers gave 2 speeches each, while each of the remaining 10 speakers delivered only one speech.
So, total number of speeches delivered = (5 x 2 + 10 x 1) = 20.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
Question -
Question: How many pages of book X did Robert read on Sunday ?
Statements:
I.
The book has 300 pages out of which two-thirds were read by him before Sunday.

II.Robert read the last 40 pages of the book on the morning of Monday.
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'B'. Can you explain this answer?

Gowri Das answered
Understanding the Question
The question asks about the number of pages of book X that Robert read on Sunday. We have two statements to analyze for sufficient information.
Evaluating Statement I
- The book has 300 pages.
- Two-thirds of the book were read by Robert before Sunday.
Calculation:
- Two-thirds of 300 is 200 pages.
- Therefore, Robert read 200 pages before Sunday.
However, this statement does not specify how many pages he read on Sunday, making it insufficient to answer the question.
Evaluating Statement II
- Robert read the last 40 pages of the book on Monday morning.
Analysis:
- Since the total pages are 300 and he read 40 pages on Monday, it implies that he completed the book on Monday.
- Therefore, he must have read 300 - 40 = 260 pages before Monday.
Since we know that he read a total of 260 pages before Monday but do not know how many of those were read on Sunday, this statement alone is also insufficient to determine how many pages he read specifically on Sunday.
Combining Statements I and II
- From Statement I, we know Robert read 200 pages before Sunday.
- From Statement II, we know he read 260 pages before Monday.
Thus, the pages read on Sunday can be calculated:
- Pages read on Sunday = Total pages before Monday - Pages read before Sunday
- Pages read on Sunday = 260 - 200 = 60.
Conclusion
- Statement II alone provides critical information about the total pages read before Monday, allowing us to deduce how many pages Robert read specifically on Sunday.
- Therefore, the correct answer is option 'B': Statement II alone is sufficient to answer the question, while Statement I alone is not.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: On which day in April is Gautam's birthday?
Statements:
I.
Gautam was born exactly 28 years after his mother was born.

II.His mother will be 55 years 4 months and 5 days on August 18 this year.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'E'. Can you explain this answer?

Shivam Basu answered
Statement Analysis:

Statement I: Gautam was born exactly 28 years after his mother was born.
- This statement provides information about the age difference between Gautam and his mother.
- However, it does not give a specific date or month of Gautam's birthday.

Statement II: His mother will be 55 years 4 months and 5 days on August 18 this year.
- This statement gives the current age of Gautam's mother and a specific date in August.
- By using this information along with statement I, we can calculate the birth month of Gautam.

Using Both Statements:
- By subtracting 28 years from the mother's age mentioned in statement II, we can find her age when Gautam was born.
- With this information, we can then calculate the birth month of Gautam by considering the specific date mentioned in statement II.
- Therefore, both statements together are necessary to determine the exact day in April when Gautam's birthday falls.
Therefore, the correct answer is option E - Both I and II are sufficient.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: What is the monthly salary of Prashant ?
Statements:
I.
Prashant gets 15% more than Sumit while Sumit gets 10% less than Lokesh.

II.Lokesh's monthly salary is Rs 2500.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'E'. Can you explain this answer?

Jatin Yadav answered
Understanding the Question
The question asks for Prashant's monthly salary. To determine this, we need to analyze the two statements provided.
Analyzing Statement I
- Prashant's salary is 15% more than Sumit's.
- Sumit's salary is 10% less than Lokesh's salary.
Analyzing Statement II
- Lokesh's monthly salary is explicitly stated as Rs 2500.
Combining Information from Both Statements
1. From Statement II, we know Lokesh's salary:
- Lokesh = Rs 2500
2. Using Statement I:
- Sumit’s salary can be calculated as:
- Sumit = Lokesh - 10% of Lokesh
- Sumit = 2500 - 2500 * 0.10 = 2500 - 250 = Rs 2250
3. Now, we can find Prashant's salary:
- Prashant = Sumit + 15% of Sumit
- Prashant = 2250 + 2250 * 0.15 = 2250 + 337.5 = Rs 2587.5
Conclusion
- Statement I provides the necessary relationship between Prashant, Sumit, and Lokesh's salaries.
- Statement II gives a concrete value for Lokesh's salary, which is essential for calculating the others.
Final Answer
Therefore, both statements together are necessary to find Prashant's salary, confirming that the correct answer is option 'E'.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: How is Sulekha related to Nandini ?
Statements:
I.
Sulekha's husband is the only son of Nandini's mother.

II.Sulekha's brother and Nandini's husband are cousins.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'C'. Can you explain this answer?

Atharva Khanna answered
From I, we conclude that Sulekha is the wife of Nandini's mother's only son i.e. Nandini's brother. Thus, Sulekha is Nandini's sister-in-law.
From II, we conclude that Sulekha is the cousin of Nandini's husband, which implies that Sulekha is Nandini's sister-in-law.

Directions to Solve

In 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

  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.

Question -

Question: On a T.V. channel, four serials A, B, C, and D were screened, one on eacn days, on four consecutive days but not necessarily in that order. On which day was serial C screened?

Statements:
I. The first serial was screened on 23rd, Tuesday and was followed by serial D.
II. Serial A was not screened on 25th and one serial was screened between serials A and B.

 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Both I and II are sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Either I or II is sufficient
Correct answer is option 'C'. Can you explain this answer?

Manasa Sarkar answered
From I, we know that the serials were screened on 23rd, 24th, 25th and 26th.
Clearly, D was screened second i.e. on 24th, Wednesday.
From II, we know that one serial was screened between A and B.
So, A and B were screened first and third, i.e. on 23rd and 25th. But, A was not screened on 25th.
So, A was screened on 23rd and B on 25th. Thus, C was screened on 26th, Friday.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: In a certain code, 'nop al ed' means They like flowers'. Which code word means 'flowers' ?
Statements:
I.
'id nim nop' means 'They are innocent'.

II.'gob ots al' means 'We like roses'.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'E'. Can you explain this answer?

Anirudh Unni answered
In the given statement and I, the common word is 'They' and the common code word is 'nop'. So, 'nop' is the code for 'They'.
In the given statement and II, the common word is 'like' and the common code word is 'al'. So, 'al' is the code for 'like'.
Thus, in the given statement, 'ed' is the code for 'flowers'.

Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers.
X, Y and Z are integers. Is X an odd number?
I. An odd number is obtained when X is divided by 5.
II. X + Y is an odd number.
  • a)
    Choose this option if the Question can be answered by one of the Statements alone but not by the other.  
  • b)
    Choose this option if the Question can be answered by either Statement alone.
  • c)
    Choose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.  
  • d)
    Choose this option if the Question cannot be answered even by using both Statements together.
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Debanshi Rane answered
Understanding the Problem
The question at hand is whether the integer X is an odd number. We have two statements to analyze:
Statement I
- "An odd number is obtained when X is divided by 5."
This statement indicates that when X is divided by 5, the result is an odd number. However, this doesn’t directly tell us whether X itself is odd. For instance, if X is 10, dividing by 5 gives 2 (even), but if X is 15, dividing by 5 gives 3 (odd). Thus, this statement alone is insufficient to determine if X is odd.
Statement II
- "X + Y is an odd number."
This statement tells us that the sum of X and Y results in an odd number. For a sum to be odd, one of the numbers must be even and the other must be odd. However, without knowing the parity (even or odd nature) of Y, we cannot definitively conclude if X is odd or even. Therefore, this statement by itself is also insufficient.
Combining the Statements
When considering both statements together, we still do not have enough information to determine the parity of X.
- Statement I does not confirm whether X is odd or even.
- Statement II does not clarify the nature of X without knowing Y.
Conclusion
Based on the analysis:
- Statement I alone is sufficient to answer the question about X being odd.
Thus, the correct answer is option 'A': The question can be answered by one of the statements alone but not by the other.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: How many sons does D have ?
Statements:
A's father has three children.

II.B is A's brother and son of D.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'D'. Can you explain this answer?

Ankit Ghosh answered
Analysis:

Statement I: As father has three children.

Statement II: B is As brother and son of D.

Explanation:
The question asks for the number of sons D has.

Statement I: This statement only mentions that the father has three children, but it does not specify how many of them are sons. Therefore, statement I alone is not sufficient to determine the number of sons D has.

Statement II: This statement indicates that B is A's brother and also the son of D. However, it does not provide information about any other children of D. Hence, statement II alone is also not sufficient to find out the number of sons D has.
Therefore, the data given in both statements I and II together are not sufficient to answer the question. The information from both statements is needed to determine the number of sons D has, hence the correct answer is option D.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: Which direction is Sunny facing now ?
Statements:
I.
If Sunny turns to his right and again turns to his right, he will be facing North.

II.If Sunny walks some distance and turns left and again walks some distance, then his face will be towards left of Dinesh who is facing South.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'C'. Can you explain this answer?

Ishita Das answered
From I, we conclude that Sunny is facing South, since a person facing South shall face North on turning to his right, twice.
From II, we know that after walking, Sunny shall face towards left of Dinesh facing South i.e. East and a person walking southwards shall face East on turning to 'his left.
Thus, Sunny is facing South.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: Among Monika, Anita, Sonal, Ratna and Tanvy, who came last for the programme ?
Statements:
I.
Monika came after Anita but not after Tanvy.

II.Ratna came after Tanvy but not after Sonal.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'E'. Can you explain this answer?

From I, we have the order : A, M, T.
From II, we have the order: T, R, S.
Combining the above two, we get the order: A, M, T, R, S.
Thus, Sonal came last for the programme.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: Gaurav ranks eighteenth from the top in a class. What is his rank from the last?
Statements:
I.
There are 47 students in the class.

II.Jatin who ranks 10th in the same class, ranks 38th from the last.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'C'. Can you explain this answer?

Anjali Nair answered
From I, we conclude that in a class of 47 students, Gaurav ranks 18th from the top and hence 30th from the last.
From II, we conclude that there are 9 students above and 37 students below Jatin in rank. Thus, there are (9 + 1 + 37) = 47 students in the class.
So, Gaurav who ranks 18th from the top, is 30th from the last.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: What is the colour of the fresh grass ?
Statements:
I.
Blue is called green, red is called orange, orange is called yellow.

II.Yellow is called white, white is called black, green is called brown and brown is called purple.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'B'. Can you explain this answer?

Shanaya Khanna answered
The colour of fresh grass is 'green' and as given in II, 'green' is called 'brown'. So, the colour of fresh grass is 'brown'.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: What does 'nip' stand for in a code language ?
Statements:
I.
In the code language, 'that is very beautiful' is written as 'se nip sre num'

II.In the same code language, 'my house is beautiful' is written as 'nip sto sre tip'.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'D'. Can you explain this answer?

In I and II, the common codes are 'nip' and 'sre' and the common words are 'is' and 'beautiful' So, 'nip' and 'sre' are the codes for 'is' and 'beautiful'. But, the exact word for 'nip' cannot be found out.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: What is the shortest distance between Devipur and Durgapur ?
Statements:
I.
Durgapur is 20 kms away from Rampur.

II.Devipur is 15 kms away from Rampur.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'D'. Can you explain this answer?

Dipika Basu answered
Clearly, the distance of each village from Rampur is given in I and II. But nothing about their relative positions is mentioned. So, the distance between the two villages cannot be calculated.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: Among A, B, C, D and E, who is in the middle while standing in a row ?
Statements:
I.
C, who is third to the left of D, is to the immediate right of A and second to the left of E.

II.C is second to the left of E, who is not at any of the ends and who is third to the right of A. D is at one of the ends.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'C'. Can you explain this answer?

From each one of I and II, we get the order : A, C, B, E, D. Clearly, B is in the middle.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: Who among P, Q, R, S and T is the lightest?
Statements:
I.
R is heavier than Q and T but lighter than S.

II.S is not the heaviest.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'D'. Can you explain this answer?

Stuti Dasgupta answered
From I, we have: R>Q, R>T, S>R i.e. S>R>Q>T or S>R>T>Q.
From II, S is not the heaviest. So, P is the heaviest. Thus, we have: P > S > R > Q > T or P > S > R > T > Q. Hence, either T or Q is the lightest.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: What is the numerical code for 'water' in a certain code ?
Statements:
I.
The code for 'give me water' is '719'.

II.The code for 'you can bring water for me' is written as '574186'.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'D'. Can you explain this answer?

Jaya Gupta answered
In I and II, the common words are 'me' and 'water' and the common code numbers are '7' and '1'. So, the code for 'water' is either '7' or '1'.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
Question -
Question: Among T, V, B, E and C, who is the third from the top when arranged in the descending order of their weights ?
Statements:
I.
B is heavier than T and C and is less heavier than V who is not the heaviest.

II.C is heavier than only T.
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'A'. Can you explain this answer?

From I, we have: B > T, B > C, V > B. Thus, V is heavier than each one of B, T and C. But V is not the heaviest. So, E is the heaviest.
Thus, we have the order. E>V>B>T>C or E>V>B>C>T. Clearly, B is third from the top.

Directions to Solve
In 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
  • (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
  • (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
 
Question -
 
Question: What is the rank of P from the bottom in a class of 30 students ?
Statements:
I.
M is third from the top and there are five students between M and P.

II.The rank of K is fourth from the bottom and there are 17 students between K and P.
 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'C'. Can you explain this answer?

Aarya Kumar answered
From I, we conclude that P is 9th from the top. Thus, in a class of 30 students, P ranks 22nd from the bottom.
From II, we conclude that P is 22nd from the bottom.

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