# Quant Test for LIC AAO Prelims Exam Set – 7

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

1. 17, 52, 158, 477, ?, 4310
1330
1200
1435
1545
1660
Option C
17 × 3 + 1 = 51 + 1 = 52
52 × 3 + 2 = 156 + 2 = 158
158 × 3 + 3 = 474 + 3 = 477
477 × 3 + 4 = 1431 + 4 = 1435

2. 3, 22, ?, 673, 2696, 8093
110
134
122
150
142
Option B
3 × 7 + 1 = 21 + 1= 22
22 × 6 + 2 = 132 + 2 = 134
134 × 5 + 3 = 670 + 3 = 673
673 × 4 + 4 = 2692 + 4 = 2696

3. 6, 13, 38, ?, 532, 2675
124
144
111
132
129
Option E
6 × 1 + 1 × 7 = 6 + 7 = 13
13 × 2 + 2 × 6 = 26 + 12 = 38
38 × 3 + 3 × 5 = 114 + 15 = 129
129 × 4 + 4 × 4 = 516 + 16 = 532

4. 286, 142, ?, 34, 16, 7
74
85
70
54
66
Option C
286/2 – 1 = 143 – 1 = 142
142/2 – l = 71 – l = 70
70/2 – 1 = 35 – 1 = 34
34/2 – 1 = 17- 1 = 16

5. 17, 9, ? ,16.5, 35, 90
8
10
6
12
14
Option B
17 × 0.5 + 0.5 = 9
9 × 1 + 1 = 10
10 × 1.5 + 1.5 = 16.5
16.5 × 2 + 2 = 35

6. The average age of mother,father and son was 42 years at the time of the marriage of son. After one year, an infant was born in the family and after 6 years of the marriage of son, the average age of the family is 36 years. What was the age of the bride at the time of marriage?
18 years
25 years
14 years
33 years
21 years
Option B
Sum of the present age of Mother, Father and Son = 42*3+6*3 = 144 years
Sum of present age of the family = 36*5 = 180
Present age of the bride = 180 – 144 – 5 = 31 years
Age of the bride at the time of marriage = 31 – 6 = 25 years

7. The total number of men, women and children working in a factory is 18. They earn Rs.4000 in a day. If the sum of the wages of all men, all women and all children is in the ratio of 18:10:12 and if the wages of an individual man , woman and child is in the ratio 6:5:3. How much a women earn in a day?
Rs.174
Rs.155
Rs.250
Rs.189
Rs.200
Option C
Ratio of number of men, women and children
= 18/6:10/5:2/3 = 3x:2x:4x
Now, 3x+2x+4x = 18
=>x = 2
Number of women = 4
Share of all women = 10/40*4000 = Rs.1000
Share of each women = 1000/4 = Rs.250

8. The interest earned on Rs.4800 at rate of R% compounded annually is Rs.1008 after 2 years. What would be the simple interest earned on the same amount at the rate of (R+5)% per annum after 3 years?
Rs.1995
Rs.1774
Rs.1845
Rs.2160
Rs.2000
Option D
Equivalent interest rate for 2 years = (1008/4800)*100
= 21%
R% + R% + (R^2/100)% = 21%
=>R = 10
Required interest = 4800*(10+5)% *3 = Rs.2160

9. Mahi bought a second-hand scanner and sold it to Kavi for Rs.2160 thereby making a profit of 20%. At what price Mahi must sell the printer to earn a profit of 40%?
Rs.2520
Rs.2386
Rs.2445
Rs.2120
Rs.2200
Option A
CP of the scanner be x. x*1.2 = 2160
=>x = 1800
CP = Rs.1800
Required amount = 1800*1.4 = Rs.2520

10. Tap A is 50% more efficient than Tap B. Both tap together can fill the tank in (96/5) hours. Find the time taken by tap A to fill the tank alone.
27 hours
32 hours
20 hours
25 hours
36 hours
Option B
Let the time taken by tap B to fill the tank be
x hours.
Time taken by tap A to fill the tank = x/1.5 hours
Now, 1/x+1/(x/1.5) = 1/(96/5)
=> 1+1.5 = 5x/96
=>x = 48
Time taken by tap A to fill the tank = 48/1.5 = 32 hours