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31. Simplify the following trigonometric expression: sin A/(1 + cos A) + (1 + cos A)/sin A (A) 2 sec A (B) 2 cosec A (C) sec A (D) cosec […]

30. In how many ways can one write the elements 1, 2, 3, 4 in a sequence x1, x2, x3, x4 with xi G i 6i? (A) 9 (B) 10 […]

29. Let a = (√5 + 1)/2 and b = (√5 − 1)/2. Then, limn→∞ (an + bn)/(an − bn) is ______. (A) 1 (B) 1/2 (C) 0 (D) Does […]

28. Let U = {1, 2, 3, 4, 5}. A subset S is chosen uniformly at random from the non-empty subsets of U. What is the probability that S does […]

27. Which one of the points P = (3/2, 1/2), Q = (1/2, 3/2), R = (3/2, 11/2), and S = (11/2, 3/2) lies above the parabola y = 2×2 […]

26. The length of the edge of a variable cube is increasing at the rate of 25 cm s⁻¹. If the initial length of the edge of the cube is […]

25. The number of 7-letter words (with or without meaning) starting with the letter B that can be formed using the letters of the word BIOLOGY is ______________. (answer in […]

24. The area bounded by the curve y = sin x and the x-axis between x = 0 and x = 3π/2 is ______ sq. units (answer in integer). Area […]

23. The limit of the function limx→2 [(2×2 + 2x − 12)/(x2 − 4)] is __________. (rounded off to 1 decimal) Limit of a Rational Function as x Approaches 2 – […]

22. If P = ( cos α    sin α −sin α    cos α ) and P + PT = I, then the value of α, where 0 ≤ […]