# Quant Test for IBPS PO Prelims 2020 Exam set – 5

1. Study the following and answer the questions:

In a college,150 candidates of class 10th are enrolled.The ratio of males and females is 7:8.There are 3 groups such as Physics , Commerce and Maths.In Physics,there are 50% females of their total number,and the males are 40% of their total number.In Commerce,females are 30% of their total number and males are 30% of their total number .In Maths ,females are 20% of their total number and males are 30% of their total number.7 males and 9 females are in Commerce and Physics both.6 males and 7 females are in Commerce and Maths both.5 males and 8 females are in Physics and Maths both.2 males and 3 females are enrolled in all 3 group.

Find the ratio of males and females only in Physics?

9:13
13:9
8:11
7:11
None of these
Option A
Males:Females=7:8
Physics Males=40*70/100=28
Physics Females=50*80/100=40
Commerce Males=30*70/100=21
Commerce Females=30*80/100=24
Maths Males=30*70/100=21
Maths Females=20*80/100=16
Commerce+Physics–Males=7;Females=9
Commerce+Maths–Males=6;Femlaes=7
Physics+Maths–Males=5;Females=8
=9:13

2. What percentage of females are enrolled in all 3 groups?
2
3.0
3.5
4
None of these
Option A
%=3*100/150

3. What is the number of females enrolled in Commerce only?
11
13
20
25
None of these
Option A

4. The number of males in Physics is how much percentage more than the number of femlaes in Commerce?
15.55%
16.67%
14.66%
33.99%
None of these
Option B
Males=28
Femlaes=24
=4/100*24

5. Find the average number of males in all three groups?
27.50
25.00
24.25
23.33
None of these
Option D
=28+21+21/3

6. The average salary of 90 employees in a company is Rs 14,500 per month.If the number of officers is twice the number of clerks,then find the average salary of clerks?
Rs 11500
Rs 10500
Rs 7500
Rs 15500
Cannot be determined
Option E
Total salary-60*salary of officer+30*salary of clerk
=90*14500=60*x+30*y
So,x and y is not given.So we cannot determined the value.

7. If the average marks of 1/5th of class is 70% and 2/5th class is 45% and the average mark of remaining class is 60%,then average percentage of whole class will be which of the following?
58%
56%
66%
64%
None of these
Option B
Average=100*[x/5*70/100 + 2x/5 *45/100 +2x/5 * 60/100]/x

8. There are five times the number of 2 wheelers as there are 3 wheelers.The number of 4 wheelers are equal to the number of two wheelers .Find the average number of wheel per vehcile?
3
2
1
4
None of these
Option A
No of 3 wheeler=x;Number of wheels=3x
Number of 2 wheeler=5x;Number of wheels=10x
Number of 4 wheeler=5x;Number of hweels=20x
therefore,average=3x+10x+20x/x+5x+5x

9. A box contains 5 ruby,4 beige and 3 grey balls.If 3 balls are picked up at random,what is the probability that either all are grey or all are ruby?
1/20
1/10
2/15
3/25
None of these
Option A
Probability=5C3+3C3/12C3

10. A carton contains 5 ruby , 4 beige and 3 grey bulbs.If 2 bulbs are picked up at random,what is the probability that both are ruby?
7/30
6/33
5/33
4/31
None of these
Option C
Probability=5C2/12C2

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