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