**Q1. A bag contains 3 red, 4 green and 6 yellow balls. If five balls picked at random, then what is the probability of getting 2 balls green, 1 ball red and 2 balls yellow?**

(a) 23/132

(b) 30/143

(c) 29/142

(d) 31/143

(e) 23/143

**Q2. A bag contains 4 yellow and 5 red balls. If two balls are picked at random, then what is the probability of getting 2 balls red or 2 balls yellow?**

(a) 2/7

(b) 3/5

(c) 4/9

(d) 2/5

(e) 2/9

**Q3. Two dice throw together. What will be the probability of getting a sum less than 12?**

(a) 35/36

(b) 31/35

(c) 31/36

(d) 11/18

(a) 7/9

**Q4. Two dice throw at random, find out the probability of getting same digit in both dice?**

(a) 5/6

(b) 2/3

(c) 1/3

(d) 1/2

(e) 1/6

**Q5. In how many ways can letters of word REQUEST be arranged so that vowels always put together?**

(a)360

(b)420

(c)560

(d)180

(e)240

**Q6. There are 18 players consist of 10 batsmen and 8 bowlers. In how many ways can a team of 11 players of 6 batsmen and 5 bowlers is to select for a match?**

(a)5880

(b)11760

(c)7056

(d)14112

(e)8460

**Q7. From a group of 6 men and 4 women, six persons are to be selected to form a committee in which there should be at-least 4 men. In how many ways it can be done?**

(a)125

(b)95

(c)115

(d)85

(e)90

**Q8. What is the probability of getting a sum of exactly 16 when three dice are rolled together?**

(a)1/44

(b)1/6

(c)7/216

(d)1/36

(e)1/27

**Q9. There are 15 balls numbered from 1 to 15 in a bag. Three balls are drawn from bag without replacement. What is the probability that the all three drawn balls are odd numbered ball?**

(a)1/13

(b)8/65

(c)8/15

(d)7/15

(e)1/2

**Q10. In how many ways can letters of the word KANGAROO be arranged?**

(a)40320

(b)20160

(c)10080

(d)30240

(e)15120

**Q11. What is the percent increase/decrease in number of students in Arts in the year 2019 as compared to previous year?**

(a)12.5%

(b)25%

(c)20%

(d)22.5

(e)33.33%

**Q12. Number of students enrolled in Commerce in the year 2016 and 2017 together was what percent of the total number of students enrolled in Arts in the year 2017?**

(a)500/11%

(b)120%

(c)150%

(d)220%

(e)70%

**Q13. Find the average no. of students enrolled in Commerce in all the years.**

(a)242

(b)422

(c)264

(d)342

(e)282

**Q14. What is the ratio of students enrolled in Commerce in year 2016 and 2018 together to that of Arts in year 2019 and 2018 together?**

(a)54 : 59

(b)9 : 10

(c)55 : 58

(d)59 : 54

(e)57 : 59

**Solution:**