# Quant Test for IBPS PO Prelims Exam set – 16

Directions(1-5): What will be the value of question mark ‘?’ in the following questions?

1. (3375)^2 *4*7 + (1331)^3 *6 *5 – (1521)^2 *2*5 = ?
450
315
300
360
400
Option D
(3375)^2 *4*7 + (1331)^3 *6 *5 – (1521)^2 *2*5 = ?
=>? = 15*28 + 11*30 – 39*10
=>? = 420 + 330 – 390
=>? = 360

2. 20% of 25% of 3200 = 64% of (10*?)
15
10
20
25
22
Option D
20% of 25% of 3200 = 64% of (10*?)
=>160 = 0.64*(10*?)
=>? = 25

3. (?)^2 = (15% of 20% of 4500) *(256)^1/2 – (11)^3 – 100
20
27
18
10
14
Option B
(?)^2 = (15% of 20% of 4500) *(256)^1/2 – (11)^3 – 100
=>(?)^2 = 135*16 – 1331 – 100
=>(?)^2 = 2160 – 1331 – 100
=>?^2 = 729
=>? = 27

4. ? / 2 = (1369)^1/2 + 44% of 1200 -21^2
248
200
212
230
226
Option A
? / 2 = (1369)^1/2 + 44% of 1200 -21^2
=>?/ 2 = 37 + 528 – 441
=>? /2 = 124
=>? = 248

5. 28% of 3800 +25% of 6400 – 12^3 = ?
850
800
936
910
923
Option C
28% of 3800 +25% of 6400 – 12^3 = ?
=>1064 + 1600 – 1728 = ?
=>? = 936

6. Vishal purchased 30 kg of rice at the rate of Rs.20 per kg and 40 kg at the rate of Rs.35 per kg. He mixed the two. At what price per kg should be sell the mixture to make 40% profit in the transaction?
50
30
40
20
10
Option C
Total Cost = 30*20 + 40*35 = Rs.2000
Total quantity = 30+40 = 70 kg
For 40% profit, SP = 1.4*2000 = Rs.2800
Rate of rice per kg =2800/70 = Rs.40 per kg

7. The hourly wages of a worker increased by 28%. Since the increase, the number of hours he works daily has reduced by 25%. If he was earning Rs.150 per day before the increase how much is he earning now?
Rs.150
Rs.135
Rs.120
Rs.100
Rs.144
Option E
Let original hourly wages and work hours be Rs.x per hour and Rs.y per hour resp.
xy = Rs.150
Hourly wages = 1.28x
Work hours = 0.75y
New daily wages = 1.28x*0.75y = Rs.144

8. A boat takes 15 hours for travelling downstream from point A to point B and coming back to a point C midway between A and B. If the speed of the stream is 8 km/hr. and the speed of the boat in still water is 16km/hr. what is the distance between A and B?
132 km
150 km
123 km
144 km
140 km
Option D
Let the dist. Between A and B be x km.
Upstream speed = 16-8 =8 km/hr.
Downstream speed = 16+8 = 24 km/hr.
(x/24) + {(x/2)/8} = 15
=> x = 144 km

9. The ratio of milk to water in three containers of equal container is 5:7, 7:9 and 9:11 resp. The three containers are mixed together. What is the ratio of milk to water after mixing?
313:413
320:403
313:407
323:411
313:401
Option C
Required ratio = (5/12 + 7/16 +9/20): (7/12 + 9/16 + 11/20) = 313:407

10. 9 friends went to a hotel for their meal. Eight of them spent Rs.15 each and the 9th friend spent Rs.2 more than the average of all 9. Find the total expenditure.
Rs.121.05
Rs.123.23
Rs.130.12
Rs.137.25
Rs.131.12
Option D
Total money spent by 8 friends = 15*8 = Rs.120
let the average money spent by 9 friends be x.
Money spent by 9th friend = x+2
[120 + (x+2)]/9 = x
=>x = 15.25
Total expenditure = 120+15.25 = Rs.137.25