# Questionbank: Dat Sufficiency

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This section hosts a number of CAT Level questions on Data Sufficiency.
General Instructions for Data Sufficiency Questions:
Choose option A : If Statement 1 ALONE is sufficient; statement 2 is not sufficient
Choose option B : If Statement 2 ALONE is sufficient; statement 1 is not sufficient.
Choose option C : If Statements 1 & 2 TOGETHER are sufficient but are not sufficient independently.
Choose option D : If Each statement is INDEPENDENTLY sufficient.
Choose option E : If Statements together are NOT sufficient. Additional data is required.
1. ### Value of n

What is n? Statement 1: n > 10
Statement 2: n < 12

1. A
2. B
3. C
4. D
5. E
2. ### Value of x.

Is x = 3?
Statement 1: $x^2 = 9$
Statement 2: ${x < 0}$

1. A
2. B
3. C
4. D
5. E
3. ### Value of x

Is x = 3?
Statement 1: $x^2 = 16$
Statement 2: x > 0

1. A
2. B
3. C
4. D
5. E
4. ### Unconventional

If * represents one of addition, subtraction, multiplication or division, what is 7 * 0?
Statement 1: 0 * 5 = 5
Statement 2: 5 * 0 = 5

1. A
2. B
3. C
4. D
5. E
5. ### Area of triangle

What is the area of triangle ABC?
Statement 1: Two sides are 5 and 10
Statement 2: The triangle is an isosceles triangle.

1. A
2. B
3. C
4. D
5. E
6. ### Area of triangle - Different

What is the area of triangle ABC whose perimeter is 30?
Statement 1: One of the angles is 80
Statement 2: The triangle is an isosceles triangle

1. A
2. B
3. C
4. D
5. E
7. ### Area of triangle - different

What is the area of triangle ABC?
Statement 1: Two sides are 6 and 8
Statement 2: One of the angles is 90

1. A
2. B
3. C
4. D
5. E
8. ### Integers

What is the value of the largest of five positive integers?
Statement 1: The average is 40 and the median is 40
Statement 2: The range is 70

1. A
2. B
3. C
4. D
5. E
9. ### Cubes and Squares

Is $x^3 > x^2$ ?
Statement 1: x > 0
Statement 2: x < 1

1. A
2. B
3. C
4. D
5. E

Is the quadrilateral ABCD a parallelogram?
Statement 1: A pair of opposite sides is parallel
Statement 2: A pair of opposite sides is equal

1. A
2. B
3. C
4. D
5. E
11. ### Remainders

What is the remainder when N is divided by 14?
Statement 1: N divided by 28, the remainder is 20
Statement 2: N divided by 7, the remainder is 6

1. A
2. B
3. C
4. D
5. E
12. ### Divisibility

If N is a positive integer, is $N^2$ divisible by 48?
Statement 1: $N^3$ is a multiple of 24
Statement 2: N is a multiple of 18

1. A
2. B
3. C
4. D
5. E
13. ### Modulus Function

Is |a| > |b|?
Statement 1: a > b
Statement 2: a + b < 0

1. A
2. B
3. C
4. D
5. E
14. ### Squares and Primes

Is the positive integer P prime?
Statement 1: $2^P - 1$ is prime
Statement 2: P + 4 is a perfect square

1. A
2. B
3. C
4. D
5. E
15. ### Divisibility

Is the positive integer N divisible by 12?
Statement 1: 2N has lesser number of factors than 3N
Statement 2: 3N has lesser number of factors than 5N

1. A
2. B
3. C
4. D
5. E
16. ### Smallest side

Consider triangle ABC with AB = 6 cm. Which is the smallest side of this triangle?
Statement 1: BC = 7 cm
Statement 2: Angle ACB is 70°

1. A
2. B
3. C
4. D
5. E

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