# Quantitative Aptitude for IBPS Clerk Mains 2017

**Dear Aspirants,**

Quantitative Aptitude for IBPS Clerk Mains 2017 |

Quantitative Aptitude is a very important section you must prepare if you are aiming for a job in Bank or Insurance sector. So, these 15 questions can help you practice three very important topics of Quant Section.

**Q1. In how many different ways can the letters of the word ‘DRASTIC’ be arranged in such a way that the vowels always come together?**

(a) 720

(b) 360

(c) 1440

(d) 540

(e) None of these

**Q2. In how many ways can Ram arrange the letters of the word ALLAHABAD?**

(a) 7650

(b) 7560

(c) 6750

(d) 5760

(e) 7660

**Q3. How many numbers between 2000 and 3000 can be formed with the digits 0, 1, 2, 3, 4, 5, 6, 7 (repetition of digits not allowed)?**

(a) 42

(b) 210

(c) 336

(d) 440

(e) 120

**Q4. In how many ways can a person sent invitation cards to 6 of his friends if he has four servants to distribute the cards?**

(a) 6⁴

(b) 4⁶

(c) 24

(d) 120

(e) 36

**Q5. A captain and a vice captain are to be chosen out of a team having eleven players. How many ways are there to achieve this?**

(a) 10.9

(b) ¹¹C₂

(c) 110

(d) 10.9!

(e) 11.10!

*Solutions (1-5):***Q6. In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?**

(a) 159

(b) 194

(c) 205

(d) 209

(e) 224

**Q7. There are 5 blue socks, 4 red socks and 3 green socks, in Debu’s wardrobe. He has to select 4 socks from this set. In how many ways can he select these four shocks such that there is at least one blue sock and exactly one green sock in them (Do not consider that the socks are in pairs)?**

(a) 245

(b) 240

(c) 495

(d) 60

(e) 310

**Q8. A bag contains 5 red, 4 green and 3 black balls. If three balls are drawn out of it at random, find the probability of drawing exactly 2 red balls.**

(a) 7/22

(b) 10/33

(c) 7/12

(d) 7/11

(e) None of these

**Q9. There are two bags, one of them contains 5 red and 7 white balls and the other 3 red and 12 white balls, and a ball is to be drawn from one or the other of the two bags. Find the chance of drawing a red ball.**

(a) 37/120

(b) 30/120

(c) 11/120

(d) 29/120

(e) None of these

**Q10. Three groups of children contain 3 girls and 1 boy, 2 girls and 2 boys, and 1 girl and 2 boys respectively. One child is selected at random from each group. The probability that the three selected consist of 1 girl and 2 boys is**

(a) 3/8

(b) 1/5

(c) 5/8

(d) 3/5

(e) None of these

*Solutions (6-10):***Q11. A bag contains 20 ball marked 1 to 20. One ball is drawn at random. Find the probability that it is marked with a number multiple of 5 or 7.**

(a) 3/10

(b) 7/10

(c) 1/11

(d) 2/3

(e) None of these

**Q12. From a group of 7 men and 4 women a committee of 6 persons is formed. What is the probability that the committee will consist of exactly 2 women?**

(a) 5/11

(b) 3/11

(c) 4/11

(d) 2/11

(e) 6/11

*Directions (13-14): two fair coins are tossed. Find the probability of obtaining.***Q13. 2 Heads**

(a) 1/3

(b) 2/3

(c) 1/2

(d) 1/4

(e) 3/4

**Q14. 1 Head and 1 Tail**

(a) 1/2

(b) 1

(c) 1/3

(d) 2/3

(e) 1/4

**Q15. Kamal and Monica appeared for an interview for two vacancies. The probability of Kamal’s selection is 1/3 and that of Monica’s selection is 1/5. Find the probability that only one of them will be selected.**

(a) 2/5

(b) 1/5

(c) 5/9

(d) 2/3

(e) None of these