Quantitative Aptitude Quiz for IBPS | SBI – Set 204

1)An urn contain 6 orange, 4 green,3 pink and 4 black balls
If 3 balls are picked at random, what is the probability that all are pink ?
A)2/650
B)1/680
C)4/630
D)3/680

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Answer B)1/680
17C3 = 17*16*15/3*2*1 = 4080/6 = 680
3C3 = 1
P = 1/680

2)A five digit number is formed with the digit 1,2,3,4 and 5 without repetition. Find the chance that the number is divisible by 5 ?
A)1/4
B)1/5
C)1/3
D)1/2

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Answer B)1/5
5! = 5*4*3*2*1 = 120
4! = 4*3*2*1 = 24
P = 24/120 = 1/5

3)A bag contains 6 red, 5 blue and 2 green balls. If 2 balls are picked at random, what is the probability that both are green?
A)1/78
B)2/75
C)4/89
D)None

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Answer A)1/78
13C2 = 13*12/2 =78
2C2 = 1
P = 1/78

4)16 persons are participated in a party. In how many different ways can they host the seat in a circular table, if the 2 particular persons are to be seated on either side of the host ?
A)16! * 2
B) 14! * 2
C) 18! * 2
D)14!

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Answer B) 14! * 2
(16 – 2)! * 2 = 14! * 2

5)An urn contains 4 brown marbles, 5 green marbles, 2 red marbles and 3 white marbles. If 3 marbles are drawn, what is the probability all of them is green ?
A)5/182
B)4/187
C)12/187
D)10/183

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Answer A)5/182
Total = 14
3 marbles drawn = 14C3 = 14*13*12/ 3*2*1 = 364
5C3 = 5*4*3/3*2*1 = 10
P = 10/364 = 5/182

Direction: Q(6 -10) Study the following pie chart carefully and answer the following questions.


Following table shows the percentage of females from various industries working in morning shifts.

6)What is the ratio of men to the women working in morning shift from the call centre industry?
A) 11:7
B) 11:9
C) 12:7
D) 11:3
E) None of these

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Answer B) 11:9
Ratio = (32/100)*40250*(55/100) : (32/100)*40250*(45/100) = 11:9

7)What is difference between the number of males and females working in morning shift in banking industry?
A) 1137
B) 1127
C) 1147
D) 1157
E) None of these

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Answer B) 1127
Total people from banking = 40250*14/100 = 5635. So difference between males and females = (60/100)*5635 – (40/100)*5635 = 1127

8)What is total number of men working in morning shifts from all industries together?
A) 28765
B) 25788
C) 26875
D) 26887
E) None of these

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Answer D) 26887
Total men = 40250*(12/100)*(80/100) + 40250*(16/100)*(85/100) + 40250*(14/100)*(60/100) + 40250*(8/100)*(40/100) + 40250*(32/100)*(55/100) + 40250*(18/100)*(80/100) = 26887

9)What is the approximate average number of females working in night shifts from all industries together?
A) 3326
B) 4482
C) 2227
D) 2823
E) None of these

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Answer C) 2227
Number of females in all industries = 40250 – 26887 = 13363. So average = 13363/6 = 2227

10)What is the difference between the number people working in business and call centre together and IT and Banking together?
A) 8050
B) 7050
C) 8850
D) 9050
E) None of these

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Answer A) 8050
Difference = [(50 – 30)/100]*40250