# Quant Test for SBI Clerk Prelims 2021 Exam set – 6

1. There are 52 playing cards, 1 card is drawn at random, what is the probability that it is either a king or a queen ?
3/13
2/13
5/18
4/15
2/5
Option B
required = (4C1) + (4C1)
=4 + 4 = 8
total = 52C1 = 52
probability = 8/52 = 2/13

2. If length of a rectangular is increased by 25% and its breadth is reduced by 10%, then find the percentage change in its area.
18%
15%
12%
25%
12.5%
Option E
Let the length of rectangular = 100
After increased = 125
After decreased = 90
original area = 100 * 100 = 10000
now area = 125 * 90 = 11250
% increased = 1250/10000* 100 = 12.5%

3. A candidate scores 30% and fails by 20 marks, while another candidate who scores 50% marks, get 20 marks more than the pass marks. What is the pass marks.
100
80
120
150
60
Option B
Let total marks = 100%
30%+20 = 50% – 20
20% = 40
1% = 2 marks
pass marks = 30% + 20 = 60 + 20 = 80 marks

4. A is twice as good as B and hence can complete a piece of work in 5 days less than B. In how many days the work will be complete by B alone ?
12 days
15 days
4 days
8 days
10 days
Option E
Efficiency ratio of A and B = 2 : 1
Let time taken by B = x days
time taken by A = (x – 5) days
2 (x – 5) = x * 1
2x – 10 = x
x = 10 days

5. A started a business with investing rs.4500, after 6 months B joined the business with capital rs.4000. At the end of the one year they earned a profit of 1690, then what is the profit share of B ?
680
1170
520
750
800
Option C
Profit sharing ratio of a A and B = (4500 * 12) : (4000 * 6) = 9 : 4
profit share of B = 1690 * 4/13 = 520

6. Ratio of present age of P and Q is 8 : 7. Before four years and after two years the ratio of age of P and Q is 3 : 4. What will be the age of P after 4 years.
20 years
25 years
40 years
50years
30 years
Option A
Let the present age of P and Q = 8x and 7x
ATQ, 8x – 4 / 7x + 2 = 3/4
32x – 16 = 21x + 6
11x = 22
x = 2
Age of P after 4 years = 8 * 2 + 4 = 20 years

7. The average mark of 36 students of class is 40. The average marks first 20 students is 42 and the next 14 students is 40. Find the average marks of rest 2 students of the class.
25
40
48
20
28
Option D
Total marks of 36 students = 36 * 40 = 1440
Total marks of first 20 students = 20 * 42 = 840
Total marks of next 14 students = 14 * 40 = 560
Total marks of rest 2 students = 1440 – (840 + 560) = 40
Average marks of rest 2 students = 40/2 = 20 marks

8. A trader 550 kg of rice, a part of which he sells at 24% profit and the rest part at 20% loss and on the whole transaction he losses 8% what is the quantity sold at 20% loss ?
400 kgs
300 kgs
420 kgs
150 kgs
280 kgs
Option A
In 1st case In 2nd case
24% (-) 20
(-8%)

-8%- (-20%) = 12% 24%-(-8%)=32%

ratio = 12 : 32 = 3 : 8
quantity sold at 20% loss = 550/8 + 3 * 8 = 400 kgs

9. A certain sum is to be divided between A, B and C in the ratio of 4 : 5 : 6. But by mistake it was divided in the ratio of 5:4:6. Thus B losses by rs.150. Find the sum.
2450
2250
2000
4000
2500
Option B
Original share of A, B and C = 4x, 5x and 6x respectively.
By mistake A, B and C got their share = 5x, 4x and 6x respectively
So that, B losses = rs.80
sum = 150/5x-4x * 15x
150/x* 15x = 2250

10. A boat takes 6 hours to cross a distance of 180 km in downstream speed. If the speed of stream is 5 km/hr, then how many hours a boat can take to cross a distance of 40 km in upstream speed ?
4 hours
6 hours
5 hours
3 hours
2 hours
Option E
speed of stream = 5 km/hr
downstream speed of boat = 180/6 = 30 km/hr
speed of boat in still water = 30 – 5 = 25 km/hr
upstream speed of boat = 25 – 5 = 20 km/hr
time = 40/20 = 2 hours

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