1. Value of sin 15° is

  (A)

  (B)

2.

  (A) (– ∞, – 2) ∪ (3, 5)
  (B) (– 5, – 2) ∪ (3, ∞)
  (C) (– ∞, – 5) ∪ (2, 3)
  (D) (– ∞, – 5) ∪ (– 2, 3)

3. If n(A) = 10, n(B) = 15 and n(A ∩ B) = 2, then n(A ∪ B) is

4. The smallest value of |z|² + |z – 3|² + |z – 6i|² where z ε C occurs for z equal to

5. Value of sin² 5° + sin² 10° + sin² 15° + … + sin² 85° is

6. Range of f(x) = sgn(x² – 2x + 4) is

7.

8. The number of 10 lettered words that can be formed which starts and ends with ‘T’ is

  (A)

  (C)

  (D)

9. The number of 10 lettered words that can be formed so that all the vowels are together is

  (A)

  (B)

  (C)

10.

11.

12. A : If n(A) = 6, n(B) = 5, n(A ∩B) = 2, then n(A ∪B) is 9.
R : n(A ∪B) = n(A) + n(B) – n(A ∩B).

13. Sum of all the negative roots of the equation (x + 2) (x + 3) (x + 8) (x + 12) – 4x² = 0 is

  (D)

14. The A. M. of a set of 50 numbers is 38. If two numbers of set, namely 55 and 45 are discarded, then A.M. of remaining set of numbers is

15. Let α and β be the zeros of f(x) = ax² + bx + c, a ≠ 0 and Δ = b2 – 4ac. If α+ β,α² + β² and α³ + β³ are in G.P., then