a) 1/|z +1| b) 0 c) √2/|z +1|² d) - 1/|z +1|²
2) The number of words that can be formed out of the letters of the word ARTICLE so that the vowels occupy even places is
a) 360 b) 574 c) 300 d) 144
3) The product [32. (32)¹⁾⁶. (1/32)¹⁾³⁶.....∞] is equals to
a) 128 b) 256 c) 64 d) 512
4) The value of [⁴⁷C₄ +⁵ ᵣ₌₁∑⁵²⁻ʳC₃] is equal to
a) ⁵²C₃ b) ⁵²C₄ c) ⁵¹C₄ d) ⁵³C₄
5) If 1, w, w² are the cube root of unity, then the value of (x+ y)²+ (xw + yw²)+ (xw²+ yw)² is equals to
a) 3xy b) 9xy c) 6xy d) 3(x²+ y²)
6) if a,b,c are three unequal numbers such that a, b, c are in AP and (b - a),(c - b), a are in GP, then the value of a: b: c is
a)2:3:4 b) 3:5:7 c) 1:2:3 d) none
7) Each of 8 questions in a paper has an alternative. Number of ways in which a candidate can answer one or more questions is
a) 3⁸-1 b) 2⁸ c) 3⁸ d) 2⁸-1
8) The number of terms in expansion of (a+ b+ c)¹⁰ is
a) 55 b) 66 c) 33 d) 44
9) The argument of the complex number z= 1+ i tan(3π/5) is
a) -2π/5 b) 3π/5 c) 2π/5 d) -3π/5
10) If an infinite GP, first terms is equals to twice the sum of the remaining terms then its common ratio is
a) 1/4 b) -1/4 c) 1/3 d) -1/3
11) if the sum of first n terms of an AP series is n²+ 2n, then the term of the series having value 201 is.
a) 99th term b) 100th term c) 101th term d) 102th term
12) Everybody in a room shake hands everybody else. If the total number of handshakes is 66, then the number of persons in the room is
a) 11 b) 12 c) 13 d) 14
13) if r> 1, n> 2 are positive integers and the co-efficients of (r+2)th and 3rd terms in expansion of (1+ x)²ⁿ are equal, then n is equals to
a) 3r b) 3r+1 c) 2r d) 2r +1
14) How many words can be formed from the letters of the word COMMITTEE ?
a) 9! b) 9!/2! c) 9!/(2!)² d) 9!/(2!)³
15) The solution set of the inequation x+ 1/x > 2 is
a) 0 < x <∞ b) 0 ≤ x <∞ c) R -{0} d) 1 ≤ x <∞
16) The polar form of the complex number (i²⁵)³ is
a) cosπ + i sinπ b) cosπ - i sinπ c) cos(π/2) + i sin(π/2) d) cos(π/2) - i sin(π/2)
17) If in a distribution, n= 10, ∑x= 20, ∑x²= 200, then the value of standard deviation of the distribution is
a) 2 b) 16 c) 6 d) 4
18) The value of (²⁰C₄ + ²⁰C₃ + ²⁰C₂ - ²²C₁₈) is
a) 0 b) 1242 c) 7315 d) 960
19) How many ways are there to arrange the letters in the world GARDEN with the vowels in alphabetical orders ?
a) 240 b) 360 c) 480 d) 120
20) The complex number 1, -1, i√3 form a triangle which is
a) equilateral triangle b) isosceles triangle c) right angled triangle d) isosceles right angled triangle
21) Two roots of the quadratic equation x²+ (i -5)x + 18+ i=0 are
a) -2+ 3i, 3+ 4i b) 2- 3i, 3+ 4i c) -3 - 4i, 2- 3i d) 3 - 4i, 2+ 3i
22) How many zeros are there in (126)! ?
a) 29 b) 30 c) 31 d) 32
23) How many numbers of 5 digits can be formed from the numbers 0, 1, 2, 3, 4 when repetition of digits is not allowed?
a) 120 b) 96 c) 144 d) 48
24) A sample of 4 items is drawn at random from a lot of 10 items, containing 3 defectives. If x denotes the number of defective items in the sample, then P(0< x <3) is equals to
a) 3/10 b) 1/2 c) 4/5 d) 1/6
25) If a, b, c are in GP and x, y are AM of a, b and b, c respectively, then the value of (a/x + c/y) is
a) 1 b) 2 c) 0 d) 4
No comments:
Post a Comment