# Quant Test for SBI Clerk Prelims 2021 Exam set – 1

1. The marked price of an article is 20% more than the cost price and the discount percent is 15% on marked price. If profit earned is rs.96, then find the marked price of an article.
6000
8500
4860
5600
5760
Option E
Let CP= 100x
MP= 100x*120/100 =120x
SP =120x*85/100 =102x
profit =102x-100x =2x
2x= 96
x= 48
Marked price of an article =120*48 =5760

2. The ratio of present ages of A and B is 4:3. After 2 years from now and 4 years ago respectively, the ratio of age of A and B is 9:4. What is the age of A 8 years ago ?
8
10
15
16
20
Option A
Let percent age of A =4x
percent age of B =3x
4x+2/3x-4 =9/4
16x+8=27x-36
11x =44
x=4
age of after 8 years =4x-8 =8 years.

3. X and Y started a business by investing rs.5000 rs.3000 respectively. After one year X invested rs.3000 more and Y invested rs.2000 more and profit of the business at the end of the 2 years is 2600. What is the profit share of Y.
2000
1000
1500
600
800
Option B
Profit sharing ratio of X and Y =(5000*1+3000*1):(3000*1+2000*1) =8000:5000 =8:5
profit share of B =2600*5/13 =1000

4. Cost of type A and type B sugar are rs,28/kg and rs,34/kg respectively . If type A and type B sugar are mixed together and sold at rs40/kg and profit percentage is 25%, then in what ratio quantities of type A and type B sugar are mixed ?
2:5
5:4
1:1
2:1
1:2
Option E
selling price of mixture =rs.40/kg
cost price of mixture =rs.40*4/5 =32/kg.
by the rule of alligation: 28 34
32
2 4
ratio: 1:2

5. If diameter of the circle is equal to the side of the square having perimeter 224cm. then find the perimeter of the circle.
176
180
185
220
240
Option A
Perimeter of the square =224
side of square =224/4 =56
diameter of the circle =56
2r =56
r=28
256r =2*22/7*28 =176 cm.

6. The difference between the simple and compound interest on a certain sum is 72 and the rate of interest is 15%, then find the sum.
3500
4800
3200
4400
4500
Option C
72= PR^2/100^2
72 =p*225/10000
p= 72*10000/225= 3200

7. The ratio between speed of boat in still water and speed of stream is 5:3. A boat can row a distance of 160km in 20 hours in upstream speed, then what is the downstream speed of the boat ?
40
18
20
32
45
Option D
Let speed of boat in skill water =5x
speed of stream =3x
downstream speed =5x+3x =8x
upstream speed =5x-3x =2x
upstream speed =160/20 =8 km/hr
2x =8 km/hr
x=4 km/hr
downstream speed of boat =8x =32 km/hr

8. A bag contains 4 red and 2 green balls. If two balls are taken out from the bag randomly, then find the probability of getting one ball at each colour.
7/15
3/20
4
8
8/15
Option E
probability=(4C1)*(4C1)/(6C2)
=4*2/6*5/2*1=8/15

9. Population at a village is decreased by 20% in 2017 and increased by 40% in 2018. If total population of the village in 2018 is 56000, then what is the population in 2016.
40000
60000
36000
50000
48000
Option D
let population in 2016 =x
x*80/100*140/100 =56000
x =56000*100/80*100/140 =50000

10. A can do a piece of work in 15 days and B can do the same work in 20 days respectively. If A and B together worked for 6 days and then A left the work, then in how many days B alone can do the remaining work?
4 days
6 days
8 days
15 days
5 days
Option B
LCM of 15 days 20 =60
Total work =60
efficiency of A =60/15 =4
efficiency of B =60/20 =3
A and B together worked for 6 days =(4+3)*6 =42 work
remaining work =60-40 =18
remaining work B alone can do =18/3 =6 days .