Dear Aspirants, Our IBPS Guide team is providing new series of Quants Questions for IBPS PO Prelims 2022 so the aspirants can practice it on a daily basis. These questions are framed by our skilled experts after understanding your needs thoroughly. Aspirants can practice these new series questions daily to familiarize with the exact exam pattern and make your preparation effective.
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1) Two dice are tossed together, then what is the probability that the sum of the digits on both dice is 7 or more than 7?
A.5/9
B.7/12
C.4/9
D.1/2
E.5/12
2) If two dice are tossed, then what is the probability of getting sum divisible by 6 exactly?
A.1/3
B.7/36
C.1/6
D.5/36
E.1/9
3) A box contains x red balls, y yellow balls and 5 black balls and the number of red balls is 50% more than yellow balls in that box. If the probability of drawn a yellow balls in the box is 4/15, then find the total number of balls in the box?
A.30
B.15
C.21
D.45
E.None of these
4) A bag contains 4 apples, 3 Bananas and 5 Orange. If two fruits are drawn at random, then what is the probability of that are Banana?
A.1/22
B.1/15
C.1/21
D.1/11
E.None of these
5) In how many different ways can the letters of the word “MANIFESTO” be arranged in such a way that all vowels always come together?
A.9! * 3!
B.8! * 3!
C.8! * 4!
D.9! * 4!
E.None of these
6) Two cards are drawn from a bag of 52 cards. What is the probability that both the cards drawn are diamond?
A.1/17
B.4/17
C.3/17
D.2/17
E.3/34
7) A bag contains 8 white and 12 black balls. Two balls are drawn in the succession at random. Then find what will be the probability that one of them is white and the another is black?
A.36/71
B.48/95
C.71/190
D.53/95
E.None of these
8) In a bag, the ratio of number of blue balls to that of red balls is 1: 2 and probability of taking out 2 blue balls from the bag is 1/12. Find the total number of balls in the bag?
A.6
B.3
C.15
D.9
E.12
9) Box A contains 2 red balls and 4 yellow balls and box B contains 3 red balls and 2 yellow balls. If one ball is drawn at random from anyone of the box, then find the probability of getting a yellow ball?
A.9/16
B.1/8
C.3/8
D.4/15
E.8/15
10) A Bag contains 38 balls and each ball is numbered from 4 to 41. If one ball is selected at random from the bag, then what is the probability of that selected ball number is either prime or perfect cube?
A.6/19
B.11/38
C.7/19
D.13/38
E.5/19
Answers :
1) Answer: B
Cases of getting sum 7 or more than 7:
(1, 6), (6, 1), (2, 5), (5, 2), (3, 4), (4, 3), (4, 4), (2, 6), (6, 2), (3, 5), (5, 3), (4, 5), (5, 4), (3, 6), (6, 3), (5, 5), (4, 6), (6, 4), (5, 6), (6, 5), (6, 6)
Favorable cases of getting sum 7 or more than 7 = 21
Total cases = 62 = 36
Required probability = 21/36 = 7/12
2) Answer: C
Total events = 36
Number of possible events = (1, 5), (2, 4), (3, 3), (4, 2), (5, 1), (6, 6)
Required probability = 6/36 = 1/6
3) Answer: B
Number of red balls and yellow balls in the ratio = 150:100
= 3:2
2zC1/(5z + 5)C1 = 4/15
20z + 20 = 30z
z = 2
Total number of balls = 5 * 2 + 5 = 15
4) Answer: A
Required probability = 3C2/12C2
= 3 * 2/12 * 11
= 1/22
5) Answer: E
Total number of letters = 9
Total vowels = 4
Required ways = 6! * 4!
6) Answer: A
Required probability = 13C2/52C2
= 13 * 12/52 * 51
= 1/17
7) Answer: B
Total number of ways of drawing 2 balls from 20 balls are,
= 20c2 = (20 × 19)/2
= 190 ways
Number of ways of drawing a white ball is = 8c1 = 8 ways
Number of ways of drawing a black ball is = 12c1 = 12 ways
So, number of ways of drawing a white and a black ball is,
= 8 × 12 => 96 ways
Thus, the required probability that = 96/190 => 48/95
8) Answer: D
Let number of blue balls and red balls in the bag are ‘x’ and ‘2x’ respectively.
Since probability of taking out 2 blue balls from the bag = 1/12
So,
xC2/3xC2 = 1/12
[x! / {2!* (x – 2)!]/ [3x!/ {2!* (3x – 2)!] = 1/12 [x * (x – 1)]/ [3x * (3x – 1)] = 1/124x – 4 = 3x – 1
x = 3
So, total number of balls in the bag = 3 + (2 * 3) = 9
9) Answer: E
Required probability = 1/2 * (4C1/6C1 + 2C1/5C1)
= 1/2 * (2/3 + 2/5)
= 1/2 (16/15)
= 8/15
10) Answer: D
Prime numbered ball = 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41
Perfect cube = 8, 27
Required probability = 11/38 + 2/38
= 13/38
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