Quant Test for IBPS PO Prelims Exam set – 3

1. A starts a business with Rs 20,000 and after 4 months B also joins with some capital. After a year, the profit is divided between them in the ratio 5 : 3. How much did B invested?
   16,000
   15,000
   18,000
   12,000
   17,000
   Option C
   Let B invests Rs x, then ratio of their profits
   20000*12 : x*8 = 30,000 : x
   So, 30,000/x = 5/3
   x = 18,000
   
   
    



2. In a business, A in invests 1/4th of the total capital for 1/4th of the time. B invests 1/5th of the total capital for half of the time and C invests the remaining capital for the whole time. What is the share of C in the total profit of Rs 7410?
   5002
   5720
   5547
   5834
   5649
   Option B
   Let the whole time is 1.
   A invests for 1/4, B invests for 1/2 and C for whole 1.
   Contribution of C = 1 – (1/4 + 1/5) = 11/20
   A’s share : B’s share : C’s share
   1/4 * 1/4 : 1/5 * 1/2 : 11/20 * 1
   1/16 : 1/10 : 11/20
   5 : 8 : 44
   Share of C in profit = 44/(5+8+44) * 7410 = 5720
   
   
    



3. The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is:
   56.2
   37.8
   39.2
   51.4
   49.4
   Option D
   Let the required mean score be x.
   Then, 20 * 80 + 25 * 31 + 55 * x = 52 * 100
   1600 + 775 + 55x = 5200
   55x = 2825
   x = 51.4
   
   
    



4. A Cistern can be filled by an inlet pipe at the rate of 4 litres per minute. A leak in the bottom of a cistern can empty the full tank in 8 hours. When the cistern is full, the inlet is opened and due to the leak, the cistern is empty in 40 hours. How many litres does the cistern hold?
   2500 litre
   2700 litre
   2100 litre
   2000 litre
   2400 litre
   Option E
   Part emptied by the leak in 1 hour = 1/8
   part filled by (leak & inlet open) in 1 hour = 1/40
   Part filled by the inlet pipe in 1 hour = 1/8 – 1/40 = 1/10
   Inlet pipe fills the tank in = 10 hours
   Inlet pipe fills water at the rate of 4 litres a minute.
   Capacity of Cistern = 10 * 60 * 4 = 2400 litre
   
   
    



5. Two roads each 10m wide has been made running perpendicularly to each other inside a rectangular field of dimension 90m X 50m. What is the cost of spreading pebbles over them at the rate of Rs.8 per m².?
   Rs.14400
   Rs.10400
   Rs.15300
   Rs.11000
   Rs.13700
   Option B
   Area of Roads = (l + b – w) * w
   Area of Roads = (90 + 50 – 10) * 10 = 1300m²
   Cost = 1300 * 8 = Rs.10400
   
   
    
Directions(6-10): Find the missing term '?' of the following number series.


6. 6, 8, 16, 38, ?, 319
   103
   98
   100
   113
   109
   Option A
   6 * 1 + 2 = 8
   8* 1.5 + 4 = 16
   16 * 2 + 6 = 38
   38 * 2.5 + 8 = 103
   103 * 3 + 10 = 319
   
   
    



7. 2,3,12,?,86,167
   35
   20
   28
   37
   30
   Option D
   +1^2, +3^2, +5^2, +7^2, +9^2
   ? = 37
   
   
    



8. 107,123,155,?,267,347
   200
   202
   203
   210
   212
   Option C
   +8*2
   +8*4
   +8*6
   +8*8
   +8*10
   ? = 203
   
   
    



9. 23,12,13,21,44,?
   101.7
   118.8
   120.6
   112.5
   100.2
   Option D
   *0.5+0.5
   *1+1
   *1.5+1.5
   *2+2
   *2.5+2.5
   ? = 112.5
   
   
    



10. 5,16,37,?,109,160
    50
    68
    60
    55
    66
    Option B
    +11, +21, +31, +41, +51
    ? = 68