# Quantitative Aptitude Quiz 2015 - Set 8 - Probability and Mixed Problems

Hello and welcome to ExamPundit. Here is a set of Quantitative Aptitude Quiz for Bank Exams and Insurance Exams. The following set is based on Probability and mixed problems.

Directions—(Q. 1–5) Study the following information carefully to answer the questions that follow—
A box contains 2 blue caps, 4 red caps, 5 green caps and 1 yellow cap.

1. If two caps are picked at random, what is the probability that both are blue ?
(a) 1/6
(b) 1/10
(c) 1/12
(d) 1/45
(e) None of these

Solutions -

2. If four caps are picked at random, what is the probability that none is green ?
(a) 7/99
(b) 5/99
(c) 7/12
(d) 5/12
(e) None of these

Solutions -

3. If three caps are picked at random, what is the probability that two are red and one is green ?
(a) 9/22
(b) 6/19
(c) 1/6
(d) 3/22
(e) None of these

Solutions -

4. If one cap is picked at random, what is the probability that it is either blue or yellow ?
(a) 2/9
(b) 1/4
(c) 3/8
(d) 6/11
(e) None of these

Solutions -

5. If two caps are picked at random, what is the probability that at least one is red ?
(a) 1/3
(b) 16/21
(c) 19/33
(d) 7/19
(e) None of these

Solutions -

6. What would be the compound interest accrued on an amount of Rs. 8000 at the rate of 15 p.c.p.a. in three years ?
(a) Rs. 4283
(b) Rs. 4051
(c) Rs. 4167
(d) Rs. 4325
(e) None of these

Solutions -

7. What would be the cost of building a fence around a square plot with area equal to 361 sq. ft. if the price per foot of building the fence is Rs. 62 ?
(a) Rs. 4026
(b) Rs. 4712
(c) Rs. 3948
(d) Cannot be determined
(e) None of these

Solutions -

8. The difference between a two digit numbers and the number obtained by interchanging the two digits of the number is 9. If the sum of the two digits of the number is 15, then what is the original number ?
(a) 89
(b) 67
(c) 87
(d) Cannot be determined
(e) None of these

Solutions -

9. In how many different ways can the letters of the word ‘TRUST’ be arranged ?
(a) 240
(b) 120
(c) 80
(d) 25
(e) None of these

Solutions -

10. The ages of Shirish and Kunder are in the ratio of 5 : 6 respectively. After 8 years the ratio of their ages will be 7 : 8. What is the difference in their ages ?
(a) 4 years
(b) 8 years
(c) 10 years
(d) 12 years
(e) None of these

Solutions -

Regards

Team ExamPundit