Q1.
In a box contains 10 green and 8 red balls. In this how many ways two balls of the same colour can be drawn.
(a) 60 (b) 92 (c) 73 (d) 41
Solution.
10 C2 + 8 C2
= 73
Solution
Q2.
In a party there are 6 persons. find the total number of shake hands, when each and every person shake hand to each other .
(a) 19 (b) 15 (c) 20 (d) 18
Solution.
c = nc
2 = 6c
2 =
6!/2! x 4!
=
6 x 5/2
= 15
Solution
Q3.
A bag contains 10 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball , find the number
of blue balls in the bag.
(a) 5 (b) 15 (c) 10 (d) 20
Solution.
let there are x blue balls.
= P2(red balls) = 10/(10 + x)
P1 (blue balls) = x/(10 + x)
P1 = 2P2
x/(10 + x) = 2[10/(10 + x)]
x = 20
Solution
Q4.
Which of the following cannot be the probability of an event ?
(a) 1/3 (b) 7.5% (c) 0.2 (d) -0.8
Solution.
(d) -0.8
Solution
Q5.
D4 is equal to ________.
(a) P40 (b) D8 (c) Q1 (d) P4
Solution.
(a) P40
Solution
Q6.
Md = 20, x̄ = 24, find mode .
(a) 12 (b) 10 (c) 5 (d) 6
Solution.
(a) 12
Mode = 3 Median - 2Mean.
Solution
Q7.
Intersection of both ogive curved gives us :
(a) Median (b) Q2 (c) Both (d) None of these
Solution.
(c) Both
Solution
Q8.
If the difference of mode and median of a data is 36, then the difference of median and mean is .
(a) 24 (b) 36 (c) 9 (d) 18
Solution.
(d) 18
Solution
Q9.
Measurement of dispersion has impact of :
(a) change of origin (b) change of scale (c) both (d) none of these
Solution.
(b) change of scale
Solution
Q10.
Mean Deviation is minimum if it is calculated from.
(a) Median (b) Mean (c) Mode (d) Range
Solution.
(a) Median
Solution