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 a = 4 and 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 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 a² + b² = ?

• 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 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 5, 8, 12, and 15 is:

• A) 10
• B) 11
• C) 9
• D) 12

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

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

20. Simplify: (3x²y)(2xy³)

• A) 6x³y⁴
• B) 5x³y³
• C) 6x²y³
• D) 6x³y³