# Quant Test for SBI PO Prelims Exam set – 05

1. The ratio of the speed of A to the speed of B is 3:4 resp. Both start at the same time and cover a distance of 13.5 km. If B covers the distance 15 minutes before A. Find the speed of A.
19.2 km/hr.
12.8 km/hr.
13.5 km/hr.
16.9 km/hr.
11.1 km/hr.
Option C
Let the speed of A and B be 3x km/hr. and 4x km/hr. resp. Time taken by A and B be 4x hour and 3x hour resp.
4x â€“ 3x = 15/60
=>x = 0.25
Time taken by A = 4x = 1 hour Distance = 13.5 km
Required speed of A = 13.5 km/hr.

2. Monthly salaries of A and B are in the ratio of 4:5 resp. A saves 25% of his monthly salary. Monthly expenditure of A is how much percent less/more than the monthly expenditure of B who saves 20% of his monthly salary?
30%
29%
20%
25%
15%
Option D
Monthly salary of A and B resp. = 0.75*4x = 3x and 0.80*5x = 4x
Required% = (4x-3x)/4x*100 = 25%

3. Average age of a group of 36 students is 28 years. If the average age of 24 students in the group is 31 years, find the average of the remaining students in the group.
12 years
22 years
24 years
18 years
20 years
Option B
Sum of the ages of 36 students = 36*28 = 1008 years
Sum of the ages of 24 students = 24*31 = 744 years
Sum of the ages of the remaining 12 students =1008-744 = 264 years
Average age = 264/12 = 22 years

4. A shopkeeper sold a bicycle for Rs.7200 and earned a profit percent equal to the profit/loss percent earned when 32 pens are sold at the cost price of 48 pens. Find the cost price of the bicycle.
Rs.3500
Rs.4100
Rs.4000
Rs.3200
Rs.4800
Option E
Let the CP of one pen be 10.
CP of 32 pens = Rs.320
SP of 32 pens = CP of 48 pens = Rs.480
Profit% = (480-320)/320*100 = 50%
CP of bicycle = 7200/1.5 = Rs.4800

5. The length, breadth and height of a room in the ratio of 3:2:5 resp. If the cost of painting the four walls of the room at the rate of Rs.8/m^2 is Rs.6400 . Find the length of the room.
14 m
12 m
10 m
6 m
8 m
Option B
Area of the four walls 6400/8 = 2*(3x+2x)*5x
=>x = 4
Length = 3x = 12 m

6. Directions(6-10): What approximate value will come in place of question mark ‘?’ in the following questions.

7. ? = 36.08 * (7.94^2 â€“ 4*195.4^0.5)
274
288
233
250
220
Option B
? = 36.08 * (7.94^2 â€“ 4*195.4^0.5)
=>? = 36*(8^2 â€“ 4*14)
=>? = 36*(64 – 16)
=>? = 36*8
=>? = 288

8. ? = {(104.03 â€“ 34.97)+ (31.91 â€“ 8.98 )} *4.99
452
448
460
420
445
Option C
? = {(104.03 â€“ 34.97)+ (31.91 â€“ 8.98 )} *4.99
=>? = {(104- 35)+ (32-9)}*5
=> ? = (69+23)*5
=>? = 460

9. ?^2 = 1375.11 + 283.98 + 841.98 â€“ (9.87)^2
46
35
30
50
49
Option E
?^2 = 1375.11 + 283.98 + 841.98 â€“ (9.87)^2
=>?^2 = 1375 +284 + 842 â€“ 100
=> ?^2 = 2501 â€“ 100
=>?^2 = 2401
=>? = 49

10. ? = 42.98% of 49.97% of (45.12^2 â€“ 5.100^2)
460
454
425
430
441
Option D
? = 42.98% of 49.97% of (45.12^2 â€“ 5.100^2)
=>? = 43% of 50% of (45^2 â€“ 5^2)
=>? = 43% of 50% of (2025 – 25)
=>? = 430

11. ? = (6^2 *4^2) / 2 + (2197)^1/3
310
329
301
323
321
Option C
? = (6^2 *4^2) / 2 + (2197)^1/3
=>? = (36*16)/2 + 13
=>? = 288+ 13
=>? = 301