# Quant Test for LIC AAO Prelims Exam Set – 3

Directions(1-5):What approximate value should come in place of question mark ‘?’ in the following questions.

1. 29.8% of 260 + 60.01% of 510 – 103.57 = ?
220
200
222
280
255
Option D
29.8% of 260 + 60.01% of 510 – 103.57 = ?
=>30% of 260 + 60% of 510 – 104 = ?
=>78 + 306 – 104 = 280

2. (3.2)^2 + (9.8)^2 + (8.13)^2 + (4.24)^2 = ?
165
188
174
190
160
Option D
(3.2)^2 + (9.8)^2 + (8.13)^2 + (4.24)^2 = ?
=>10.24 + 96.04 + 66.09 +17.96 == 190

3. 9228.789 – 5021.832 + 1496.989 = ?
6420
5700
4400
5320
6740
Option B
9228.789 – 5021.832 + 1496.989 = ?
=>9230 – 5022 +1497 = ?
=> ? = 5700

4. 17% of 760 + 57% of 78.99 + 77.77 = ?
247
274
252
195
262
Option C
17% of 760 + 57% of 78.99 + 77.77 = ?
=>129.6 + 45.03 + 77.77 ==252

5. {(4444 + 333 + 22 + 1) – (2*3*4*5)}*2.532 = ?
11744
12450
13540
11850
11477
Option D
{(4444 + 333 + 22 + 1) – (2*3*4*5)}*2.532 = ?
=>[4800 – 120]*2.532 = ?
=>? = 11850

6. Average age of A,B and C is 84 years. When D joins them the average age becomes 80 years. A new person, E, whose age is 4 years more than D, replaces A and the average of B,C, D and E becomes 78 years. What is the age of A?
50 years
90 years
70 years
80 years
60 years
Option D
A+B+C = 3*84 = 252 years A+B+C+D = 80*4 = 320 years
D’s age = 320 – 252 = 68 years
E’s age = 68 + 4 = 72 years
(B+C+D+E)’s age = 78*4 = 312 years
(B+C)’s age = 312 – 68 – 72 = 172 years
A’s age = 252 – 172 = 80 years

7. A trader buys goods at 20% discount on marked price. If he wants to make a profit of 25% after allowing a discount of 20%. By what percent should his marked price be greater than the original marked price?
33%
27%
30%
25%
20%
Option D
Let original marked price is 100x.
CP for trader = 80% of 100x = 80x
Gain 25% SP = 125/100*80x = 100x
Allowed discount = 20%
Trader’s marked price = 100x/80*100 = 125x
Required% = (125x – 100x)/100x*100 = 25%

8. A shopkeeper buys 144 items at 90 paise each. On the way 20 items are broken. He sells the remainder at Rs.1.20 each. Find his gain percent correct to one place decimal.
16.88%
15.44%
17.23%
10.14%
14.81%
Option E
CP of 124 items = 144*90/100 = Rs.129.6
Total SP = 1.2*124 = Rs.148.8
Gain% = (148.8 – 129.6)/129.6*100 = 14.81%

9. The ratio of number of boys and girls in a school is 2:3. If 25% of the boys and 30% of the girls are scholarship holders. Find the percentage of the school students who are not scholarship holders.
81%
90%
84%
66%
72%
Option E
Let boys be 200x and girls be 300x.
Boys who are not scholarship holders = 75% of 200x = 150x
Girls who are not scholarship holders = 70% of 300x = 210x
Required% = (150x+210x)/500x*100 = 72%

10. A car travels from A to B at a constant speed. If its speed were increased by 10 km/hr., it would have been taken one hour lesser to cover the distance. It would have taken further 45 minutes lesser if the speed was further increased by 10 km/hr. Find the distance between these two cities.
550 km
345 km
360 km
400 km
420 km
Option E
Let the speed of the car be x km/hr.
And the time required to cover the distance be t hour.
Now, (x+10)(t-1) = xt
=>10t – x = 10 —-(1)
(x+20)(t – 7/4)= xt
=> 20t – 7/4x = 35 —-(2)
Solve both the equations, we get
x = 60 km/hr. t = 7 hours
Required Distance = 420 km