Hello and welcome to exampundit. Here is a set of Data Interpretation Quiz for upcoming Bank Exams.
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There are two families (Kapoors and Khannas) in a building. In the Kapoor family, there are 12 members. The ratio of number of male to female members in the family is 2 : 1. The ratio of the number of children to that of adults in the family is 1 : 2. There are three married couples and one girl child in the family. In the Khanna family, there are 15 members. The number of male members is double the number of female members. The number of boys is equal to the number of females in the family. The number of girls is 40% of the number of boys.
1. In how many ways can a committee of 10 men and 2 women be formed from the residents of the building?
(a) 10
(b) 15
(c) 20
(d) 32
(e) None of these
2. A group of 8 members is to be formed in which there are 2 adults and 2 children from each family. In how many ways can the required group be formed?
(a) 98784
(b) 79380
(c) 1113
(d) 2226
(e) None of these
3. A group of 2 girls, 2 boys and 2 women from the building can be formed in
(a) 1260 ways
(b) 630 ways
(c) 2520 ways
(d) 1890 ways
(e) None of these
4. One child is selected at random for a dance performance from each of the families. What is the probability that Neetu Kapoor and Mohit Khanna are selected for the dance performance?
(a)^{1}/_{14}
(b) ^{11}/_{15}
(c) ^{11}/_{28}
(d) ^{1}/_{28}
(e) None of these
5. Out of the 18 male members residing in the building, three are selected for a prize. What is the probability that one Kapoor and two Khannas are selected for the prize?
(a) ^{3}/_{4}
(b) ^{15}/_{17}
(c) ^{15}/_{34}
(d) ^{33}/_{68}
(e) None of these
Directions (Q. 610): In each of the following questions a
number series is given. What will be the next term of the series?
6. 5 13 29 61 125 253 ?
a) 506 b) 509 c) 378 d) 500 e) None of these
7. 4 5 14 10 24 15 ?
a) 36 b) 43 c) 34 d) 32 e) None of these
8. 2 3 10 39 172 885 ?
a) 5364 b) 1170 c) 5310 d) 5136 e) None of these
9. 3 8 30 ? 680 4110
a) 156 b) 136 c) 132 d) 148 e) None of these
10. 5 6 11.25 26.5 72.5 226.5 ?
a) 679.5 b) 729.75 c) 797.75 d) 792.75 e) 805
Solutions:
Male

Female
 
Adult

Children

Adult

Children
 
Kapoor

5

3

3

1

Khanna

5

5

3

2

1. ^{10}C_{10} X ^{6}C_{2} = 1 X ^{6X5}/2 = 15
2. ^{8}C_{2} X^{ 4}C_{2} X ^{8}C_{2} X ^{7}C_{2} = 98784
3. ^{3}C_{2} X ^{8}C_{2} X ^{6}C_{2} = 1260
4. ^{1}/_{4} X ^{1}/_{7} = ^{1}/_{28}
5. ^{8}C_{1} X ^{10}C_{2}/^{18}C_{3} = ^{8 X 45 X 6}/_{17 X 17 X 16} = ^{15}/_{34}
6. B
_{}
7. C
8. E
9. C
10. E
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