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SSC CGL Exam  >  SSC CGL Tests  >  Quantitative Aptitude for SSC CGL  >  Test: Data Sufficiency - 2 - SSC CGL MCQ

Test: Data Sufficiency - 2 - SSC CGL MCQ


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15 Questions MCQ Test Quantitative Aptitude for SSC CGL - Test: Data Sufficiency - 2

Test: Data Sufficiency - 2 for SSC CGL 2024 is part of Quantitative Aptitude for SSC CGL preparation. The Test: Data Sufficiency - 2 questions and answers have been prepared according to the SSC CGL exam syllabus.The Test: Data Sufficiency - 2 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Data Sufficiency - 2 below.
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Test: Data Sufficiency - 2 - Question 1
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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.

Detailed Solution for Test: Data Sufficiency - 2 - Question 1

Statement I, no mention 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.

Test: Data Sufficiency - 2 - Question 2
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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.

Detailed Solution for Test: Data Sufficiency - 2 - Question 2

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.

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Test: Data Sufficiency - 2 - Question 3
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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.

Detailed Solution for Test: Data Sufficiency - 2 - Question 3

Boys : Girls = 6 : 10
Boys = 6x and Girls = 10x
Total = 16x

Statement I:

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.

Test: Data Sufficiency - 2 - Question 4
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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.
Detailed Solution for Test: Data Sufficiency - 2 - Question 4

Statement I :

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.

Test: Data Sufficiency - 2 - Question 5
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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.
Detailed Solution for Test: Data Sufficiency - 2 - Question 5

Statement I :
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.

Test: Data Sufficiency - 2 - Question 6
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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.
Detailed Solution for Test: Data Sufficiency - 2 - Question 6

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.

Test: Data Sufficiency - 2 - Question 7
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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
Detailed Solution for Test: Data Sufficiency - 2 - Question 7

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.

Statement II: a < 20 and b < 20
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.

Test: Data Sufficiency - 2 - Question 8
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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.
Detailed Solution for Test: Data Sufficiency - 2 - Question 8

Statement I:
No data about the length.
So, statement I alone is not sufficient.

Statement II:
2(2πr + h) = 116
But we cannot find the value of r or h.
So, statement II alone is not sufficient.

Using both the statements:
2πrh : 2πr(r + h) = 2 : 3
h : r = 2 : 1
2(2πr + h) = 116
Solving the above equations, we get r = 7 and h = 14
So, both the statements are together necessary.
Hence, option D is correct.

Test: Data Sufficiency - 2 - Question 9
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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.
Detailed Solution for Test: Data Sufficiency - 2 - Question 9

Let the number of boys be B and girls be G
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.

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.

Test: Data Sufficiency - 2 - Question 10
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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.
Detailed Solution for Test: Data Sufficiency - 2 - Question 10

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.

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.

Test: Data Sufficiency - 2 - Question 11
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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.
Detailed Solution for Test: Data Sufficiency - 2 - Question 11

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.

Test: Data Sufficiency - 2 - Question 12
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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.
Detailed Solution for Test: Data Sufficiency - 2 - Question 12

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.

Statement II: No data about the stream.
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.

Test: Data Sufficiency - 2 - Question 13
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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.
Detailed Solution for Test: Data Sufficiency - 2 - Question 13

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.

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.

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.

Test: Data Sufficiency - 2 - Question 14
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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.
Detailed Solution for Test: Data Sufficiency - 2 - Question 14

5x + 3y = 46

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.

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.

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.

Test: Data Sufficiency - 2 - Question 15
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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.
Detailed Solution for Test: Data Sufficiency - 2 - Question 15

Let milk = 3x and water = 2x
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.

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.

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