Quant Test for LIC AAO Prelims Exam Set – 5

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

  1. 9,6,9,24,108,?
    874
    795
    888
    788
    840
    Option C
    *0.5+1.5
    *1+3
    *2+6
    *4+12
    *8+24
    ? = 888

     

  2. 15,30,50,80,150,?
    215
    200
    210
    201
    220
    Option E
    Difference of difference
    +15,+20,+30,+50,+90
    +5,+10,+20,+40
    ? = 220

     

  3. 1511,302,75,24,?,5
    10
    14
    18
    20
    11
    Option A
    (1511 – 1)/5
    (302 – 2)/4
    (75 – 3)/3
    (24 – 4)/2
    (10 – 5)/1
    ? = 10

     

  4. 7,10,18,42,90,?
    210
    188
    195
    205
    207
    Option A
    Difference 3,8,24,48,120
    2^2-1
    3^2-1
    5^2-1
    7^2-1
    11^2-1
    ? = 210

     

  5. 48,24,72,18,90,?
    15
    20
    16
    19
    10
    Option A
    /2
    *3
    /4
    *5
    /6
    ? = 15

     

  6. Average salary of A and B is 3000. If salary of A and B increased by 40% and 20% resp. then their salary is increased by 32%. Salary of A is what percent more than salary of B before increment?
    90%
    70%
    50%
    80%
    60%
    Option C
    Let the salary of A and B be x and Y resp.
    x+y = 2*3000 = 6000 —–(1)
    1.4x + 1.2y = 1.32 * 6000= 7920 —–(2)
    On solving these two equations, we get
    x = 3600
    y = 2400
    Required% = (3600- 2400)/2400*100 = 50%

     

  7. Ratio of speed of A and B tp cover a distance is 3:4. If B covers the distance 30 minutes earlier than A. Find the time taken by A tp cover the distance.
    2 hours
    5 hours
    3hours
    1 hours
    4 hours
    Option A
    Ratio of speed = 3:4
    Ratio of time = 4:3
    A : B
    4:3 = Difference = 1 = 30 minutes
    Time taken by A = 4*30 = 120 minutes = 2 hours

     

  8. X and Y can complete a work together in 7.2 days. If X and Y started the work together but Y left after 6 days then total work completed in 8 days. Efficiency of X to complete the work is what percent more or less than efficiency of Y.
    60% more
    30% more
    50% more
    40% more
    10% more
    Option C
    Let X and Y complete the work in x and y days resp.
    1/x + 1/y = 1/7.2 —–(1)
    Also, 8/x+6/y = 1 —–(2)
    Solving both the equations, we get
    x = 12
    y = 18
    Required% = (18-12)/12*100 = 50% more

     

  9. P,Q and R started a business with Rs.16000, Rs.12000 and Rs.8000 resp. After a year, if all three divide the profit equally then time given by P in business is what percent of the time given by Q in business?
    77%
    81%
    66%
    75%
    70%
    Option D
    Let the time given by P, Q and R is x,y and z
    resp.
    16000*x*1 : 12000*y*1 : 8000*z*1 = 3:4:6
    Required% = ¾*100 = 75%

     

  10. A well of 16 meter diameter is dug for 9 m deep. The soil taken out of it has spread evenly all-around of well in shaped of circular ring of width 4 m to form an embarkment. Find the height of embankment.
    9.4 m
    7.2 m
    6.7 m
    8.8 m
    6.1 m
    Option B
    Let h be the height of embankment.
    pi*8*8*9 = pi*(12^2 – 8^2)*h
    =>h = 7.2 m

     


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