Quantitative Aptitude & Reasoning for Competitive Exams

Quantitative Aptitude & Reasoning

Algebra & Number Theory Arithmetic Aptitude Data Interpretation Geometry & Mensuration Logical Reasoning

Q. What is the value of 12 mod 5?

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

Solution

12 divided by 5 is 2 with a remainder of 2.

Correct Answer: C — 3

Q. What is the value of 2x if x = 4?

A. 4
B. 6
C. 8
D. 10

Solution

2x = 2 * 4 = 8.

Correct Answer: C — 8

Q. What is the value of 2^3 + 3^2?

A. 11
B. 17
C. 19
D. 23

Solution

2^3 = 8 and 3^2 = 9, so 8 + 9 = 17.

Correct Answer: B — 17

Q. What is the value of 3^2 + 4^2?

A. 25
B. 20
C. 15
D. 10

Solution

3^2 = 9 and 4^2 = 16, so 9 + 16 = 25.

Correct Answer: A — 25

Q. What is the value of 3^3 + 4^2?

A. 25
B. 27
C. 29
D. 32

Solution

3^3 = 27 and 4^2 = 16, so 27 + 16 = 43.

Correct Answer: A — 25

Q. What is the value of 3^3?

A. 6
B. 9
C. 27
D. 81

Solution

3^3 = 3 * 3 * 3 = 27.

Correct Answer: C — 27

Q. What is the value of 4^(1/2) * 4^(1/2)?

A. 2
B. 4
C. 8
D. 16

Solution

4^(1/2) = 2, thus 2 * 2 = 4.

Correct Answer: B — 4

Q. What is the value of 4^(1/2)?

A. 2
B. 4
C. 8
D. 16

Solution

4^(1/2) = √(4) = 2.

Correct Answer: A — 2

Q. What is the value of 4^(3/2)?

A. 8
B. 16
C. 32
D. 64

Solution

4^(3/2) = (√4)^3 = 2^3 = 8.

Correct Answer: B — 16

Q. What is the value of 5! (5 factorial)?

A. 20
B. 60
C. 120
D. 240

Solution

5! = 5 * 4 * 3 * 2 * 1 = 120.

Correct Answer: C — 120

Q. What is the value of 5^(0)?

A. 0
B. 1
C. 5
D. undefined

Solution

Any non-zero number raised to the power of 0 is 1.

Correct Answer: B — 1

Q. What is the value of 5^2 + 3^2?

A. 25
B. 34
C. 35
D. 36

Solution

5^2 = 25 and 3^2 = 9, so 25 + 9 = 34.

Correct Answer: B — 34

Q. What is the value of 5^3?

A. 125
B. 150
C. 175
D. 200

Solution

5^3 = 125.

Correct Answer: A — 125

Q. What is the value of 7 mod 3?

A. 1
B. 2
C. 0
D. 3

Solution

7 divided by 3 gives a remainder of 1.

Correct Answer: B — 2

Q. What is the value of 7 mod 4?

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

Solution

7 divided by 4 gives a remainder of 3.

Correct Answer: A — 1

Q. What is the value of 7^3 mod 5?

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

Solution

7 mod 5 = 2, thus 2^3 mod 5 = 8 mod 5 = 3.

Correct Answer: C — 3

Q. What is the value of 9 - 3(2 + 1)?

A. 0
B. 3
C. 6
D. 9

Solution

Calculating gives 9 - 3*3 = 9 - 9 = 0.

Correct Answer: C — 6

Q. What is the value of 9 mod 5?

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

Solution

9 divided by 5 gives a remainder of 4.

Correct Answer: A — 4

Q. What is the value of 9^(1/2) + 16^(1/2)?

A. 5
B. 7
C. 9
D. 10

Solution

9^(1/2) = 3 and 16^(1/2) = 4, so 3 + 4 = 7.

Correct Answer: D — 10

Q. What is the value of 9^2?

A. 81
B. 72
C. 90
D. 99

Solution

9 squared is 81.

Correct Answer: A — 81

Q. What is the value of log4(64)?

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

Solution

log4(64) = log4(4^3) = 3.

Correct Answer: D — 5

Q. What is the value of log7(1)?

A. 0
B. 1
C. 7
D. undefined

Solution

log7(1) = 0 because 7^0 = 1.

Correct Answer: A — 0

Q. What is the value of x in the equation 2x + 3 = 11?

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

Solution

Subtract 3 from both sides: 2x = 8. Then divide by 2: x = 4.

Correct Answer: C — 4

Q. What is the value of x in the equation 2x - 4 = 10?

A. 5
B. 7
C. 8
D. 10

Solution

Adding 4 to both sides gives 2x = 14, so x = 14/2 = 7.

Correct Answer: B — 7

Q. What is the value of x in the equation 3(x - 2) = 9?

A. 1
B. 3
C. 5
D. 7

Solution

Divide both sides by 3: x - 2 = 3. Add 2: x = 5.

Correct Answer: C — 5

Q. What is the value of x in the equation 3x + 5 = 20?

A. 5
B. 10
C. 15
D. 20

Solution

Subtract 5 from both sides to get 3x = 15, then divide by 3 to find x = 5.

Correct Answer: A — 5

Q. What is the value of x in the equation 4x - 8 = 0?

A. 0
B. 2
C. 4
D. 8

Solution

4x = 8, so x = 8/4 = 2.

Correct Answer: B — 2

Q. What is the value of x in the equation 5x - 10 = 0?

A. 0
B. 2
C. 5
D. 10

Solution

5x = 10, so x = 10/5 = 2.

Correct Answer: B — 2

Q. What is the value of x in the equation 5x - 15 = 0?

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

Solution

5x = 15, so x = 15/5 = 3.

Correct Answer: B — 3

Q. What is the value of x in the equation 7x - 2 = 5x + 10?

A. 4
B. 5
C. 6
D. 7

Solution

Subtract 5x from both sides: 2x - 2 = 10. Add 2: 2x = 12. Divide by 2: x = 6.

Correct Answer: A — 4

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