Quant Test for LIC AAO Prelims Exam Set – 16

Directions(1-5): Find the missing term ‘?’ of the following series.

1. 21,44,73,104,141,?
   190
   175
   177
   182
   180
   Option D
   21,44,73,104,141,?
   +23,+29,+31,+37,+41
   => ? = 182

    

2. 4,15,48,147,444,?
   1420
   1445
   1522
   1630
   1335
   Option E
   75,150,?,200,40,240
   *3+3
   *3+3
   *3+3
   *3+3
   *3+3
   ? = 1335

    

3. 75,150,?,200,40,240
   50
   33
   42
   56
   64
   Option A
   75,150,?,200,40,240
   *2
   /3
   *4
   /5
   *6
   =>? = 50

    

4. 23,27,18,34,?,45
   8
   9
   7
   6
   4
   Option B
   23,27,18,34,?,45
   +2^2 , – 3^2, +4^2 , -5^2, +6^2
   => ? = 9

    

5. 21,30,57,?,165,246
   95
   88
   74
   102
   68
   Option D
   21,30,57,?,165,246
   +9*1
   +9*3
   +9*5
   +9*7
   +9*9
   ? = 102

    

6. Time taken by a train A to cross a standing train B of length 240 m and a platform of 360 m is 27 seconds and 33 seconds resp. Find the time taken by train A to cross a pole.
   10 seconds
   17 seconds
   18 seconds
   14 seconds
   15 seconds
   Option E
   Let the length of train A be x m.
   (x+240)/27 = (x+360)/33
   =>x = 300 m
   Speed of train A = (300+240)/27 = 20 m/s
   Required time = 300/20 = 15 seconds

    

7. Anu ordered to complete a work in 36 hours. He started working but after 24 hours he realized that 75% of the work is still remaining. By what percentage he must increase his efficiency compared to his original efficiency to complete the work on time?
   600%
   800%
   700%
   500%
   400%
   Option D
   Total work = 360 units
   Remaining work = 75% of 360 = 270 units
   Remaining time = 36 – 24 = 12 hours Per hour work
   = 270/12 = 22.5 units
   Original per hour = (360*0.25)/24 = 3.75 units
   Required% = [(22.5-3.75)/3.75]*100 = 500%

    

8. There are some doctors and nurses in a hospital. If 15 nurses leave the job then for every nurses there are 2 doctors. If after those 15 nurses left the job , 45 doctors went on leave then for every doctors there are 5 nurses. Find the number of nurses initially in the hospital .
   53
   40
   47
   55
   44
   Option B
   Let the number of doctors and nurses in the hospital be x and y resp.
   x = 2(y-15) –(1)
   And 5(x-45) = (y-15) –(2)
   From both the equations, we get
   x/2 = 5(x-45)
   x = 50
   y = 40

    

9. Average runs of a batsman in 19 innings is x runs. His average is increased by three runs when he scored 115 runs in 20th inning. Find his average runs after 20 innings.
   50 runs
   56 runs
   58 runs
   59 runs
   54 runs
   Option C
   Total runs scored by the batsman in 19 innings
   = 19x
   Total runs scored by the batsman in 20 innings = 20(x+3) = 19x + 115
   => x = 55
   So, average runs after 20 innings = 55+3 = 58 runs

    

10. A bag contains 12 red, 8 blue and 13 green balls. Two balls are randomly drawn from the bag. What is the probability that both the balls are red in colour?
    1/7
    1/9
    1/6
    1/8
    1/4
    Option D
    Total number of balls in the bag = 12+8+13
    = 33
    Probability = 12C2/33C2 = 1/8