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

     


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