# 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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