# Quant Test for LIC AAO Prelims Exam Set – 14

1. A and B started a business together with total initial investment of Rs.5600. After 4 months, C joined them with an amount of Rs.1600. Find the profit share of C, if after a year, they received a total profit of Rs.9000.
Rs.1545
Rs.1400
Rs.1320
Rs.1440
Rs.1250
Option D
Ratio of investment of (A+B): C = 5600:1600
= 7:2
Ratio of profit share = (7*12): (2*8) = 21:4
Profit share of C = 4/(21+4)*9000 = Rs.1440

2. Using all the letters of the word “THURSDAY”, how many different words can be formed?
7!
4!
6!
8!
5!
Option D
Total number of letters = 8
The number of 8 letters words formed is ⁸P₈ = 8!.

3. In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, find the number of valid votes that the other candidate got.
2800
2500
2700
2300
2000
Option C
Total number of votes = 7500
1st candidate got 55% of the total valid votes.
Hence, the 2nd candidate should have got 45% of the total valid votes
=> Valid votes that 2nd candidate got = total valid votes * (45/100)
7500*(80/100)*(45/100) = 2700

4. The average age of P,Q and R is 33 years. If the ratio of age of P,Q and R is 4:3:2 resp. Find the age of R.
10 years
14 years
18 years
20 years
22 years
Option E
Let the age of P,Q and R be 4x , 3x and 2x years
resp.
(4x+3x+2x)/3 = 33
=>x = 11
Age of R = 2*11 = 22 years

5. The profit earned on selling an article for Rs.750 is equal to the loss incurred on selling the same article for Rs.450. At what price it should be sold to earn a profit of 24%?
Rs.770
Rs.744
Rs.795
Rs.818
Rs.700
Option B
Let the CP be x. (750-x) = (x-450)
=>x = 600
Required SP =600*1.24 = Rs.744

6. Directions(6-10): What approximate value will come in place of question mark ‘?’ in the following questions.

7. ?^2 – (2500% of 24) = (35)^2 – (15)^2
50
80
60
70
40
Option E
?^2 – (2500% of 24) = (35)^2 – (15)^2
=>?^2 – 600 = (35+15)(35-15 )
=>?^2 = 1000 + 600
=>? = 40

8. 140% * 350 = ?^2 – (15)^3 / 25
25
15
17
19
10
Option A
140% * 350 = ?^2 – (15)^3 / 25
=> 140/100*350 = ?^2 – 3375/25
=>?^2 – 135 = 490
=>? = 25

9. ?^2 – (1764)^1/2 = (1728)^1/3 + 60% of 150
8
14
12
16
20
Option C
?^2 – (1764)^1/2 = (1728)^1/3 + 60% of 150
=>?^2 – 42 = 12+90
=>?^2 = 102 + 42
=>?^2 = 144
=>? = 12

10. 990/18 * 55 – 45^2 = ?
800
1000
700
900
700
Option B
990/18 * 55 – 45^2 = ?
=>? = 55*25 – 2025
=>? = 3025 – 2025
=>? = 1000

11. [(529)^1/2 + 6^3 / 18]% of 800 = ?% of 224
120
112
118
125
114
Option D
[(529)^1/2 + 6^3 / 18]% of 800 = ?% of 224
=>?% of 224 = (23 + 216 /18)% * 800
=>?*224 = 35*800
=>? = (35*800)/224
=>? = 125