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