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

     


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2 Thoughts to “Quant Test for NIACL AO Prelims Exam Set – 9”

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