Ya sure buddy I will help you to get the Elitmus Aptitude test paper so that you can get idea about the exam.

Here is the exam paper

1. The set of all integers x such that |x – 3| < 2 is equal to
A. {1, 2, 3, 4, 5}
B. {1, 2, 3, 4}
C. {2, 3, 4}
D. {-4, -3, -2}

2. The Range of the function f(x) = (x - 2) / (2 - x) is
A. R
B. R – {1}
C. (-1)
D. R – {-1}

3. The value of (i)i is
A. ω
B. ω2
C. e-π/2
D. 2√2

4.is equal to
A. cos isin − θ
B. cos9 isin9 θ − θ
C. sin icos θ− θ
D. sin 9 icos9 θ − θ

5. The roots of the quadratic equation ax2 + bx + c = 0. will be reciprocal to each other if
A. a = 1/c
B. a = c
C. b = ac
D. a = b

6. If α, β are the roots of ax2 - 2bx + c = 0 then α3 β3 + α2β3 + α3β2 is
A. c2(c + 2b) / a3
B. bc3 / a3
C. c2 / a3
D. None of these

7. The sixth term of a HP is 1/61 and the 10th term is 1/105. The first term of the H.P. is
A. 1/39
B. 1/28
C. 1/17
D. 1/6

8. Let Sn denote the sum of first n terms of an A.P..If S2n = 3Sn, then the ratio S3n / 5n is equal to
A. 4
B. 6
C. 8
D. 10

9. Solution of |3 – x| = x – 3 is
A. x < 3
B. x > 3
C. x ≥ 3
D. x ≤ 3

10. If the product of n positive numbers in 1, then their sum is
A. a positive integer
B. divisible by n
C. equal to n + (1 / n)
D. never less than n

11. A lady gives a dinner party to six quests. The number of ways in which they may be selected from among ten friends, if two of the friends will not attend the party together is
A. 112
B. 140
C. 164
D. None of these

12. For 1 ≤ r ≤ n, the value of is
A. .
B. .
C. .
D. None of them.

13. 2.42n + 1 + 33n+1 is divisible by
A. 2
B. 9
C. 11
D. 27

14. If Pn denotes the product of the binomial coefficients in the expansions of (1 + x)n, the equals
A. n + ! / n!
B. nn / n!
C. .
D. .


15. If x is very large and n is a negative integer or a proper fraction, then an approximate value of ((1 + X) / x )n is
A. 1 + x / n
B. 1 + n / x
C. 1 + 1 / x
D. n(1 + 1 / x)


16. If 4
A. 4
B. 9
C. 10
D. None of these

17. The sum of the series
A. e2
B. .
C. .
D. .

18. tan 5x tan 3x tan2x is equal to

A. tan5x tan3x tan 2x
B. .
C. 0
D. None of these

19. If a = tan60 tan 420 and B = cot660 cot 780
A. A = 2B
B. 1 / 3 B
C. A = B
D. 3A = 2B

20. The value of
A. 1
B. -1
C. 1 / 2
D. -1 / 2