1.The mean of 30 given number, when it is given that the mean of 10 of
them is 12 and the mean of the remaining 20 is 9, is equal to
(a) 11 ( ) 10 (c) 9
(d) 5
2. If n = 20, x = 50 and Σx pow 2 = 84000 , then the variance is equal to
(a) 1500 ( ) 1700 (c)
1750 (d) 1800
3. If the pth, qth and rth terms of a G.P. are
again in G.P., then which one of the following is correct?
( ) p, q, r are in A.P. (b) p, q, r are in G.P.
(c) p, q, r are in H.P. (d) p, q, r are neither in A.P. nor in G.P. nor
in H.P.
4. Which one of the following statistical measures cannot be determined
graphically?
(a) Median (b) Mode ( )
Harmonic Mean (d) Arithmetic Mean
5. Match List I with List II and select the correct answer using the
codes given below the lists:
List I List
II
A. Average shoe size
1. Geometric Mean
B. Average speed for equal distances covered 2. Harmonic Mean
C. Average speed for equal times spent 3.
Arithmetic Mean
D. Average rate of population growth 4.
Mode
Codes :
A B C D
(a) 1 2 3 4
(b) 1 3 2 4
( ) 4 2 3 1
(d) 4 2 1 3
6. The median of 19 observations is 30. Two more observations are made
and their values are 8 and 32. The median of the 21 observations taken together
is equal to
(a) 28 ( ) 30 (c) 32 (d) 34
7. If X follows binomial distribution with mean 3 and variance 2, then P
(X > 8) is equal to
(a) 17/ (3 pow 9 ) (b)
18/ (3 pow9) ( ) 19/ (3pow9) (d)
20/ (3pow9)
8. If the mean of numbers 27, 31, 89, 107, 156 is 82, then the mean of
130, 126, 68, 50, 1 is
(a) 80 (b) 82 (c) 157 ( ) 75
9. The coefficient of xn in the series
(1+x)/1!+ ((1+x)pow2)/2!+
((1+x)pow3)/2!+ _______is
(a) 2e/n! (b) 4e/n! ( )
e/n! (d) None of these
10. The sum of the series (log base 4, 2) – (log base 8, 2) + (log base 16, 2) _ _ _∞ is
(a) e pow2 (b) (log base 2)
+ 1 (c) (log base e ,2) – 1 ( ) (1 – log base 2)
11. If the coefficients of x7 and x8 in {2+x/3} pow n are
equal, then the value of n is:
(a) 56 ( ) 63 (c)
64 (d) None of these
12. If A and B are coefficients of xn in the expansions of (1+x)
pow 2n &
(1+x) pow (2n-1) respectively, then
(a) A = B (b) 2A = B (
) A = 2B (d)
None of these
13. If in an A.P. the sum of 10 items, is 11 and the sum to 11 terms is
19 then the sum of 30 terms is:
(a) -20 (b) 20 (c) 30 ( ) -30
14. If 9th terms of an A.P. is zero, and 29th term is n times,
the 19th term, then value of n is:
( ) 2 (b) 3 (c) 4 (d) 5
15. An A.P. consists of 60 items. If the first and the last term be 7
and 125 respectively its 32nd term is:
(a) 64 (b) 65 (c) 66 ( ) 69
16. Let Sn = denote the sum of first n terms of an A.P.. If S
base 2n=3S base n then the ratio S base 3n/ S base n is equal to
(a) 4 ( ) 6 (c)
8 (d) 10
17. The sum of the first four terms of an A.P. is 56. The sum of the
last four terms is 112. If its first term is 11, the number of terms is:
(a) 10 ( ) 11 (c)
12 (d) None of these
18. The sum of 20 arithmetic means between 7 and 43 is:
(a) 360 (b) 400 ( )
500 (d) 440
19. In an A.P. of 81 terms, the 41th term is 10. Then the sum of series
is
(a) 10 × 41 (b) (10* 41)/2 ( ) 10 × 81 (d) 41 × 81
20. If the nth term of a series is (3+n)/4, then the sum of 105 terms is
( ) 1470 (b) 1360 (c)
1530 (d) None of these
21. If a, b, c, d, e, f are in A.P., then e – c is equal to
(a) 2(c − a) ( ) 2(d − c) (c) 2(f − d) (d) d − c
22. If the sum of three numbers in A.P. is 12 and the sum of their cubes
is 288, then the numbers are
( ) 2, 4, 6 (b) 1, 4, 7 (c)
1, 3, 5 (d) None of these
23. 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 ( ) 1/6
24. 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 ( ) 6 (c)
8
(d) 10
