# Quant Test for NIACL AO Prelims Exam Set – 9

Directions(1-5): What will be the approximate value of the following question.

1. (34.98)^2 = ?^3 + (14.99)^2
9
10
8
5
7
Option B
(34.98)^2 = ?^3 + (14.99)^2
=> 35^2 = ?^3 + (15)^2
=> ?^3 = 1000
=> ? = 10

2. 19.99% of 119.98 = ?^2 – 199.99% of 20
7
6
8
5
9
Option C
19.99% of 119.98 = ?^2 – 199.99% of 20
=> 20% of 120 = ?^2 – 200% of 20
=> ?^2 = 24+40
=> ? = 8

3. 75% of 239.89 = ?^2 – (12)^2
10
11
15
18
16
Option D
75% of 239.89 = ?^2 – (12)^2
=> ?^2 – (12)^2 = 75% of 240
=> ?^2 – 144 = 180
=> ? = 18

4. 49.98 * 11.98 = ?^2 + 0.24*95.98
24
17
16
18
20
Option A
49.98 * 11.98 = ?^2 + 0.24*95.98
=> 50*12 = ?^2 + 0.25*96
=> ?^2 = 600 – 24
=> ?^2 = 576
=> ? = 24

5. 50% of 399.85 + 399.98% of 71 = ?^2
19
20
15
22
14
Option D
50% of 399.85 + 399.98% of 71 = ?^2
=> 50% of 400 + 400% of 71 = ?^2
=> ?^2 = 200+284
=> ? = 22

6. The respective ratio of the present ages of father to son is 7:3. If five years ago, the ratio of their respective age was 5:2 then what will be the son’s age five years from now?
30 years
10 years
20 years
60 years
50 years
Option E
Father’s age = (7x-5) years
Son’s age = (3x-5) years
(7x-5)/(3x-5) = 5/2
=> x = 15 years
Son’s age = 45 years
Son’s age five years from now = 45+5 = 50 years

7. Ram borrows a sum of Rs.30000 at 25% p.a. simple interest and then lends it to Raghu at 40% p.a. compound interest, compounded half-yearly. What will be the loss/gain of Ram after one year?
Rs.6300
Rs.4100
Rs.5100
Rs.4400
Rs.5700
Option E
Interest on amount borrowed = 30000*0.25 = Rs.7500
Interest on amount lent = 30000*{(1+0.2)^2 – 1} = Rs.13200
Profit = 13200 – 7500 = Rs.5700

8. If the numerator of a fraction is increased by 25% and the denominator is decreased by 50% then the fraction obtained is 2/5. What is the original fraction?
4/21
4/25
7/24
3/20
5/21
Option B
Le the original fraction be x/y.
(x+0.25x)/(y-0.5y) = 2/5
=>x/y = 4/25

9. Kind decided to distribute 1260 coins among his three sons A,B and C in the ratio of 23:4 resp. but mistakenly he distributed the coins in the ratio of 2:3:x resp. and thus C got 200 coins less than he was supposed to receive. Find the value of x.
4
2
3
5
6
Option B
Number of coins C was supposed to get = {4/(2+3+4)*1260} = 560
Coins received by C mistakenly = x/(2+3+x)*1260
Now, x/(2+3+x)*1260 = 560 – 200
=> x = 2

10. A and B started a business together with initial investment of Rs.3200 and Rs.4800 resp. After 3 months, C joined them with an investment of Rs.4000. If after a year they received a total profit of Rs.4950. Find the profit share of B.
Rs.1950
Rs.2160
Rs.2200
Rs.2000
Rs.2250
Option B
Ratio of profit share of A:B:C = 3200*12:4800*12:4000*12
= 16:24:15
Profit share of B = 24/(16+24+15)*4950 = Rs.2160

## One Thought to “Quant Test for NIACL AO Prelims Exam Set – 9”

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