Dear Aspirants, Our IBPS Guide team is providing new series of Quants Questions for SBI Clerk/ IBPS Clerk/ ESIC UDC /MTS Prelims 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) A box contains x red balls, 4 yellow balls and 5 blue balls. If the probability of one blue ball is taking at random is 1/3, then what is the probability of two red balls is taken from the box at random?
A.1/5
B.1/6
C.1/7
D.1/3
E.1/8
2) A bag has 4 red pens, 5 black pens and 6 blue pens. If 2 pens are selected at random, what is the probability that none of them are red pens?
A.11/21
B.12/17
C.14/17
D.18/19
E.None of these
3) A box contains 5 Apple, x Orange and 3 Banana. If two fruits are drawn random from the box, then the probability of that fruits being Apple is 2/21. Find the total number of fruits in the box?
A.12
B.15
C.18
D.10
E.20
4) Bag A contains 2 green balls and 3 red balls and bag B contains 3 green balls and 2 red balls. If one ball is drawn from each bag, then find the probability that both are red ball?
A.1/5
B.3/25
C.6/25
D.3/5
E.7/25
5) A box contains 4 red, 2 green and x yellow balls. If two balls are drawn at random from the box, then the probability of getting exactly one red and one yellow is 16/45. Find the value of x?(x value will be whole number)
A.3
B.5
C.6
D.4
E.2
6) The bag contains blue, red and yellow balls. The number of yellow balls in the bag is 20% more than the number of blue balls and number of red balls in the bag is 4. The probability of picking a blue ball from a bag is 1/3. Find the number of balls in the bag.
A.12
B.15
C.18
D.20
E.None of these
7) A box contains 20 black and 15 pink balls. Two balls are picked from the box at random, find the probability that they are of same colour.
A.59/119
B.54/119
C.45/112
D.89/112
E.None of these
8) A bag contains (x + 2) red balls and x yellow balls. If the probability of drawing a yellow ball is 3/7, then find the total number of balls in the bag?
A.12
B.14
C.7
D.21
E.28
9) A box contains x red ball, 5 green ball and 4 blue ball. If one ball is drawn at random from the box and the probability of that ball being red is 2/5, then what is the probability of 2 blue balls drawn at random from the box?
A.2/35
B.1/35
C.3/35
D.4/35
E.1/7
10) A box contains 3 red balls, 4 green balls and 8 black balls. If 3 balls are drawn at random, then what is the probability of that balls being black?
A.7/65
B.6/65
C.1/13
D.8/65
E.4/65
Answers :
1) Answer: C
5C1/(9 + x)C1 = 1/3
9 + x = 15
x = 6
Required probability = 6C2/15C2
= 6 * 5/15 * 14
= 1/7
2) Answer: A
Total ways = 15C2
Probability of none of them are red pens = (15 – 4)C2/15C2
= 11C2/15C2
= 11/21
3) Answer: B
5C2/(8 + x)C2 = 2/21
5 * 4/(8 + x) * (x + 7) = 2/21
210 = 8x + 56 + x2 + 7x
x2 + 15x – 154 = 0
x2 + 22x – 7x – 154 = 0
x(x + 22) – 7(x + 22) = 0
(x – 7)(x + 22) = 0
x = 7
Total number of fruits = 8 + 7 = 15
4) Answer: C
Required probability = 3C1/5C1 * 2C1/5C1
= 3/5 * 2/5
= 6/25
5) Answer: D
4C1 * xC1/(6 + x)C2 = 16/45
45x = 4 * (6 + x) * (5 + x)/2
45x = 60 + 12x + 10x + 2x2
2x2 – 23x + 60 = 0
x = 4
6) Answer: B
Blue balls = 5x
Yellow balls = 5x * 120/100 = 6x
Red balls = 4
1/3= 5xC1/(11x + 4)C1
5x/11x + 4 = 1/3
15x = 11x + 4
x = 1
Required total = 11 * 1 + 4 = 15
7) Answer: A
Required probability = Probability that both balls are black + Probability that both balls are pink
= [20C2+15C2]/35C2
= [190 + 105]/595
= 59/119
8) Answer: B
xC1/(x + 2 + x)C1 = 3/7
6x + 6 = 7x
x = 6
Required total = 8 + 6 = 14
9) Answer: A
2/5 = xC1/(9 + x)C1
5x = 18 + 2x
x = 6
Required probability = 4C2/15C2
= 4 * 3/15 * 14
= 2/35
10) Answer: D
Required probability = 8C3/15C3
= (8 * 7 * 6)/(15 * 14 * 13)
= 8/65
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