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: