Quantitative Aptitude & Reasoning for Competitive Exams

Quantitative Aptitude & Reasoning

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

Q. Find the HCF of 48, 60, and 72.

A. 12
B. 24
C. 6
D. 18

Solution

The HCF of 48, 60, and 72 is 12, as it is the largest number that divides all three.

Correct Answer: B — 24

Q. Find the HCF of 48, 64, and 80.

A. 8
B. 16
C. 24
D. 32

Solution

The HCF of 48, 64, and 80 is 16, as it is the largest number that divides all three.

Correct Answer: B — 16

Q. Find the LCM of 6 and 8.

A. 24
B. 12
C. 48
D. 36

Solution

The LCM of 6 and 8 is 24, as it is the smallest number that is a multiple of both.

Correct Answer: A — 24

Q. Find the LCM of 9 and 15.

A. 45
B. 30
C. 60
D. 75

Solution

The LCM of 9 and 15 is 45, as it is the smallest number that is a multiple of both.

Correct Answer: A — 45

Q. Find the value of x in the equation 3x^2 - 12 = 0.

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

Solution

Add 12 to both sides: 3x^2 = 12. Divide by 3: x^2 = 4. Thus, x = ±2.

Correct Answer: B — 2

Q. Find the value of x in the equation 4x^2 + 8x + 3 = 0.

A. x = -1
B. x = -3/2
C. x = -1/2
D. x = -3

Solution

Using the quadratic formula x = [-b ± √(b² - 4ac)] / 2a gives x = [-8 ± √(64 - 48)] / 8 = [-8 ± 4] / 8.

Correct Answer: B — x = -3/2

Q. Find the value of x in the equation 4x^2 - 16x + 15 = 0.

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

Solution

Factoring gives (4x - 3)(x - 5) = 0, so x = 3 or x = 5.

Correct Answer: B — 3

Q. Find the value of x in the equation 5x - 2 = 3x + 6.

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

Solution

Subtract 3x from both sides: 2x - 2 = 6. Add 2: 2x = 8. Divide by 2: x = 4.

Correct Answer: A — x = 2

Q. Find the value of x in the equation 5x - 2(3 - x) = 4.

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

Solution

Distributing gives 5x - 6 + 2x = 4. Combining like terms: 7x - 6 = 4. Thus, 7x = 10, x = 10/7.

Correct Answer: B — x = 2

Q. Find the value of x in the equation x^2 + 6x + 9 = 0.

A. x = -3
B. x = 3
C. x = 0
D. x = -9

Solution

This is a perfect square: (x + 3)^2 = 0, so x = -3.

Correct Answer: A — x = -3

Q. If 2x + 3 = 11, what is the value of x?

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

Solution

2x = 11 - 3 = 8, so x = 8/2 = 4.

Correct Answer: B — 3

Q. If 2x - 3 = 5, what is the value of x?

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

Solution

Adding 3 to both sides gives 2x = 8, so x = 4.

Correct Answer: B — 2

Q. If 2x - 3 = 7, what is the value of x?

A. 2
B. 3
C. 5
D. 7

Solution

2x = 10, so x = 5.

Correct Answer: C — 5

Q. If 2x^2 + 3x - 5 = 0, what is the value of x using the quadratic formula?

A. x = 1
B. x = -1
C. x = 2
D. x = -2

Solution

Using the quadratic formula x = [-b ± √(b² - 4ac)] / 2a, we find x = [-3 ± √(9 + 40)] / 4.

Correct Answer: B — x = -1

Q. If 2x^2 + 8x + 6 = 0, what is the value of x?

A. x = -1
B. x = -3
C. x = -2
D. x = -4

Solution

Dividing the equation by 2 gives x^2 + 4x + 3 = 0, which factors to (x + 1)(x + 3) = 0.

Correct Answer: B — x = -3

Q. If 2^(x) = 16, what is the value of x?

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

Solution

16 = 2^(4), so x = 4.

Correct Answer: C — 4

Q. If 2^(x) = 32, what is the value of x?

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

Solution

32 = 2^(5), so x = 5.

Correct Answer: B — 5

Q. If 3^(x) = 81, what is the value of x?

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

Solution

81 = 3^(4), so x = 4.

Correct Answer: C — 4

Q. If 4x + 2 = 18, what is the value of x?

A. 3
B. 4
C. 5
D. 6

Solution

Subtract 2 from both sides: 4x = 16. Divide by 4: x = 4.

Correct Answer: A — 3

Q. If 4x^2 - 16 = 0, what is the value of x?

A. x = 2
B. x = -2
C. x = 4
D. x = -4

Solution

Add 16 to both sides: 4x^2 = 16. Divide by 4: x^2 = 4. Thus, x = ±2.

Correct Answer: A — x = 2

Q. If 5x + 2 = 17, what is the value of x?

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

Solution

Subtract 2 from both sides to get 5x = 15, then divide by 5 to find x = 3.

Correct Answer: B — 3

Q. If 5x + 3 = 18, what is the value of x?

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

Solution

5x = 18 - 3 = 15, so x = 15/5 = 3.

Correct Answer: B — 3

Q. If 5x - 10 = 0, what is the value of x?

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

Solution

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

Correct Answer: B — 2

Q. If 5x - 2 = 3x + 6, what is the value of x?

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

Solution

Subtract 3x from both sides: 2x - 2 = 6. Add 2: 2x = 8. Divide by 2: x = 4.

Correct Answer: B — x = 3

Q. If 5x - 3 = 12, what is the value of x?

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

Solution

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

Correct Answer: B — 3

Q. If 5x - 3 = 2x + 12, what is the value of x?

A. 3
B. 4
C. 5
D. 6

Solution

Rearranging gives 5x - 2x = 12 + 3, so 3x = 15, thus x = 5.

Correct Answer: B — 4

Q. If 5x - 3 = 2x + 12, what is x?

A. 3
B. 4
C. 5
D. 6

Solution

5x - 2x = 12 + 3, so 3x = 15, thus x = 5.

Correct Answer: B — 4

Q. If 5x - 3 = 2x + 6, what is the value of x?

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

Solution

5x - 2x = 6 + 3, so 3x = 9, thus x = 3.

Correct Answer: B — 2

Q. If 5x - 3 = 2x + 6, what is x?

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

Solution

5x - 2x = 6 + 3, so 3x = 9, thus x = 3.

Correct Answer: B — 2

Q. If 5x - 7 = 3x + 5, what is the value of x?

A. 1
B. 6
C. 8
D. 4

Solution

Subtract 3x from both sides: 2x - 7 = 5. Add 7 to both sides: 2x = 12. Divide by 2: x = 6.

Correct Answer: A — 1

Showing 1 to 30 of 213 (8 Pages)