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