Mathematical MCQS(Part-04)

1. If x² + 5x + 6 = 0, then the value of x is:

A) -2 and -3
B) -1 and -6
C) 1 and 6
D) 2 and 3

2. What is the derivative of f(x) = 3x² – 5x + 2?

A) 6x – 5
B) 3x – 5
C) 6x + 5
D) 3x² – 5

3. A shopkeeper buys a book for $50 and sells it for $60. What is the profit percentage?

A) 10%
B) 15%
C) 20%
D) 25%

4. A bag contains 5 red balls and 3 blue balls. If one ball is randomly picked, what is the probability that it is red?

A) 5/8
B) 3/8
C) 1/2
D) 1/8

5. Which of the following is a prime number?

A) 27
B) 31
C) 39
D) 51

6. log₂(16) = ?

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

7. In a right-angled triangle, one side is 6 cm and the hypotenuse is 10 cm. What is the length of the other side?

A) 8 cm
B) 6 cm
C) 4 cm
D) 5 cm

8. What is the sum of the first 15 terms of an arithmetic sequence with the first term a = 4 and common difference d = 6?

A) 810
B) 900
C) 1050
D) 1200

9. If x³ = 27, then the value of x is:

A) 3
B) 9
C) 27
D) 81

10. If f(x) = 2x + 1, what is the value of f(3)?

A) 6
B) 7
C) 8
D) 9

11. What is the value of ∫x² dx?

A) x³/3 + C
B) x²/2 + C
C) x³ + C
D) x² + C

12. What is the area of a circle with radius 7 cm?

A) 49π cm²
B) 14π cm²
C) 49 cm²
D) 14 cm²

13. If a + b = 10 and ab = 21, then the value of a² + b² is:

A) 49
B) 58
C) 51
D) 48

14. The value of (sin²θ + cos²θ) is:

A) 0
B) 1
C) -1
D) 2

15. What is the sum of the first 10 prime numbers?

A) 129
B) 130
C) 131
D) 132

16. If a triangle has sides of length 3 cm, 4 cm, and 5 cm, what is its area?

A) 6 cm²
B) 7 cm²
C) 5 cm²
D) 8 cm²

17. What is the solution to the equation 2x + 3 = 11?

A) x = 4
B) x = 5
C) x = 6
D) x = 7

18. The average of the numbers 5, 8, 12, and 15 is:

A) 10
B) 11
C) 9
D) 12

19. What is the solution to the quadratic equation x² – 5x + 6 = 0?

A) x = 2, 3
B) x = -2, -3
C) x = 1, 6
D) x = 0, 6

20. What is the value of sin(30°)?

A) 1/2
B) 1
C) √3/2
D) √2/2

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