# 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