Table of Contents
Directions (1-5): Study the following information carefully and answer the given question.
In a class, certain number of marbles (3 colours) are distributed among students. It is found that number of students who got red coloured marbles is 37.5% of total students and number of students who got all the three colours of marbles is 1/20 of total number of students. 52.5% of total students got black marbles and 57.5% got green coloured marbles. Number of students who got both red and black marbles but not green is double the number of students who got all three colours and half of the number of students who got black and green but not red marbles. Number of students who got all three colours of marbles is 10.
Q1. How many students got red and green marbles but not black?
(a) 15
(b) 20
(c) 25
(d) 30
(e) 35
Q2. Number of students who got exactly two colour of marbles is
(a) 55
(b) 60
(c) 67
(d) 70
(e) 75
Q3. Number of students who got at least two colours of marbles is
(a) 105
(b) 100
(c) 95
(d) 90
(e) 85
Q4. What is the ratio of number of students who got only red to number of students who got only green marbles?
(a) 4 : 5
(b) 3 : 2
(c) 2 : 5
(d) 3 : 5
(e) 1 : 2
Q5. What percentage of total students got exactly one colour of marbles?
(a) 55%
(b) 57.5%
(c) 60%
(d) 62.5%
(e) 75%
Q6. In how many ways can letters of the word RESISTANCE be arranged so that letters of first half of English alphabet always remains together ?
(a) 10800
(b) 43200
(c) 21600
(d) 216000
(e)86400
Q7. In a tennis match the probability of reaching the next round by three Indian players are and respectively. What is the probability that only one player will reach in the next round ? (No Indian player is playing with each other)
Q8. In how many different ways can the letters of the word ‘PRAISE’ be arranged?
(a) 720
(b) 610
(c) 360
(d) 210
(e) 5040
Q9. How many different words can be formed with letters of the word ‘Pencil’ when vowels occupy even places.
(a) 140
(b) 147
(c) 144
(d) 149
(e) 288
Q10. A box contains 4 green, 5 yellow and 6 white marbles. 3 marbles are drawn at random. What is the probability that all the three marbles are of the same colour?
Q11. A bag contains 4 red, 6 yellow and 5 green balls. 3 balls are drawn randomly. What is the probability that the balls drawn contain balls of different colours?
Q12. There are 3 red balls, 4 white and 6 yellow. Two balls are drawn at random. What is the probability that one is red and the other is white or yellow?
Q13. Two dies are rolled simultaneously. What is the probability that the sum of numbers on the two die is a multiple of 4?
Q14. There are 8 members in a delegation which is to be sent abroad. The total no. of members is 18. In how many ways can the selection be made so that 2 members are always included
(a) 8800
(b) 8008
(c) 8088
(d) 9800
(e)8080
Q15. A bag contains 6 red and 4 white balls. Four balls are drawn out one by one and not replaced. What is the probability that they are alternatively of different colours?
Solutions:
If you want to study Quantitative Aptitude for IBPS PO Prelims then you can also check out the video given below:
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