Quant Test for LIC AAO Prelims Exam Set – 19

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

1. 19^2 + (1024)^1/2 – 256 – 9*7 = ?
   80
   72
   74
   92
   66
   Option C
   19^2 + (1024)^1/2 – 256 – 9*7 = ?
   =>361 + 32 – 256 – 63 = ?
   =>? = 74

    

2. 9^3 -23^2 – 14^2 = ?
   5
   7
   6
   4
   8
   Option D
   9^3 -23^2 – 14^2 = ?
   =>729 – 529 – 196 = ?
   =>? = 4

    

3. (440.89)^1/2 + (169.13)^1/2 – 14^2 + 207.88 = ?
   33
   46
   38
   42
   48
   Option B
   (440.89)^1/2 + (169.13)^1/2 – 14^2 + 207.88 = ?
   =>(441)^1/2 + (169)^1/2 – 14^2 + 208 = ?
   =>21 + 13 – 196 + 208 = ?
   =>? = 46

    

4. 44.97 + 310.08 + 9.13*4.89 = ?^2
   17
   15
   16
   20
   12
   Option D
   44.97 + 310.08 + 9.13*4.89 = ?^2
   =>45 + 310 + 9*5 = ?^2
   =>?^2 = 400
   =>? = 20

    

5. 54.97% of 800 + 32.89*4 – 396.12 /17.91 = ?
   500
   495
   550
   476
   485
   Option C
   54.97% of 800 + 32.89*4 – 396.12 /17.91 = ?
   =>55% of 800 + 33*4 – 396/18 = ?
   =>440 + 132 – 22 = ?
   =>? = 550

    

6. Speed of boat A and boat B in still water is 42 km/hr. and 48 km/hr. resp. and speed of stream is 4 km/hr. If both boats are travelling towards each other and meet after 7 hours. What will be maximum distance between both boats?
   700 km
   742 km
   717 km
   600 km
   630 km
   Option E
   If boat A travelling against upstream and boat B travelling with the stream
   Distance = 38*7+52*7 = 630 km

    

7. Mr.Bean earn Rs.42000 in a month. He spends 20% in house rent and 60% of rest in others. Find the saving of him.
   Rs.16260
   Rs.15250
   Rs.16520
   Rs.13440
   Rs.11450
   Option D
   Amount spent on house rent = 0.2*42000
   = Rs.8400
   Remaining amount = 42000- 8000 = Rs.33600
   Other spending = 0.6*33600 = Rs.20160
   Savings = 33600 – 20160 = Rs.13440

    

8. The ratio of cost price and marked price of an article is 20:27 resp. If profit earned and discount given is Rs.192 and Rs.648 resp. Find the profit percentage.
   8%
   14%
   12%
   10%
   9%
   Option A
   Let the CP and MP be Rs.20x and Rs.27x resp.
   20x+192 = 27x – 648
   =>x = 120
   CP of the article =20*120 = Rs.2400
   Profit% = 192/2400*100 = 8%

    

9. Average weight of 26 content developers is 62 kg. If weight of one more content manager is included. The average weight increased by 1 kg. Find the weight of the newly added content manager.
   94 kg
   78 kg
   95 kg
   89 kg
   80 kg
   Option D
   Weight of newly added content manager = 63*27 – 62*26
   = 89 kg

    

10. A cylindrical tank is filled in 16 minutes if the water is flowing at the rate of 144 m^3 per minute. Area of the base of cylinder is 192 m^2. If the certain quantity of the water is taken out of the tank 1344 m^3 water is left in the tank. Find decrease in the level of water.
    14 m
    10 m
    6 m
    8 m
    5 m
    Option E
    Volume of tank = 144*16 = 2304 m^3
    Height = 2304/192 = 12 m
    Height = 1344/192 = 7 m
    Decrease in the level of water = 12-7 = 5 m