# Quantitative Aptitude Quiz for NIACL Mains

Quantitative Aptitude Quiz for NIACL Mains
1. Suhas decided to donate 15% of his salary. On the day of donation he changed his mind and donated 1,650/- which was 11/15 of what he had decided to donate earlier. How much is Suhas' salary?
a) 12000
b) 13500
c) 15000
d) 16000
e) Other than those given as options
2. Work done by A in one day is four times the work done by B in one day, while the work done by B in one day is one-third of the work done by C in one day. C alone can complete the work in 16 days. In how many days can all the three together complete the work?
a) 12 days
b) 10 days
c) 8 days
d) 6 days
e) Other than those given as options
3. The total of the ages of a class of 60 girls is 900 years. The average age of 20 of the girls is 12 years and that of the other 20 girls is 16 years. What is the average age of the remaining girls ?
a) 14 years
b) 15 years
c) 16 years
d) 17 years
e) Other than those given as options
4. A and B started a business with initial investments in the ratio 5 : 7. If after one year their profits were in the ratio 1 : 2 and the period for A's investment was 7 months, B invested the money for ?
a) 6 months
b) 2 1/2 months
c) 10 months
d) 4 months
e) 7 months
5. A shopkeeper sold an article for Rs.1,380 at a loss of 8%. At what price should it be sold to gain a profit of 8% ?
a) Rs.1,560/-
b) Rs.1,620/-
c) Rs.1,680/-
d) Rs.1,740/-
e) None of these
6. A profit of 25% is earned on goods when a discount of 20% is allowed on the marked price. What profit percentage will be earned when a discount of 10% is allowed on the marked price?
a) 45 9/11%
b) 42 3/4%
c) 40 5/8%
d) 37 2/3%
e) None of these
7. The compound interest on a certain sum for 2 years at 20% per annum is Rs.880/-. The simple interest on the same sum for double the time at half the rate percent per annum is :
a) Rs.800/-
b) Rs.1,000/-
c) Rs.1,200/-
d) Rs.1,600/-
e) None of these
8. A tap can empty a tank in one hour. A second tap can empty it in 30 min. If both the taps operate simultaneously, how much time is needed to empty the tank ?
a) 20 min
b) 30 min
c) 40 min
d) 45 min
e) None of these
9. When the price of sugar decreases by 10%, a man could buy 1 kg more for Rs.270/-. The original price of sugar per kg is :
a) Rs.25/-
b) Rs.30/-
c) Rs.27/-
d) Rs.32/-
e) None
10. A train passes a 50 m long platform in 14 sec and a man standing on a platform in 10 sec. The speed of the train is
a) 24 km/hr
b) 26 km/hr
c) 40 km/hr
d) 45 km/hr
e) None of these
Solutions:
1. C)
Let Suhas' salary =Rs. x
According to question,
x × 15/100 × 11/15 = 1650
x = Rs.15,000/-
2. D)
According to question,
A = 4B; C =3B
A : B = 4:1
B : C =1 :3
Ratio of work done by A, B and C in one day = 4:1:3
C's 1 day's work =3 unit
C's 16 day's work =3 x 16 = 48 unit
Time taken by A, B and C to complete the
Work = 48/4+1+3 = 48/8 = 6 days
3. D)
Let the average age of remaining 20 girls = x years
According to question, 20x12+20x16+20xx=900
240 +320 +20x = 900
20x =900-560
20x =340
x =17 years
4. C)
Let B invested the money for x months. According to question,
Ratio of investment of A and B = Ratio of their profit
5*7 / 7*x = 1/2
X = 10 months
5. B)
Let the cost price of article = Rs. x
According to question,
x * 92/100 =1380
x = Rs.1,500/-
Required price = 1500 * 108/100 = Rs.1620
6. C)
Let the marked price of goods = Rs.100/-
Selling price of goods = 100 x80/100 = Rs.80/-
Cost price of goods = 80 x 100/125= Rs.64/-
When a discount of 10% is allowed on the marked price of goods then selling price will be =100 x 90 = Rs.90/-
Required profit percentage = 90-64/64 * 100 = 26/64 * 100 = 325/8 = 40 5/8%
7. A)

8. A)
1 minute work of tap A = 1/60
1 minute work of tap B = 1/30
(A + B)'s 1 minute work = 1/60+ 1/30 = 1+2/60 = 3/60 = 1/20
Therefore, Time taken by (A + B) to empty the tank =20 min.
9. B)
New rate of sugar = rupees * Percentage / Quantity = 270/1 * 10/100 = Rs.27/- per kg
Let the original price of sugar = Rs.x
According to question,
x *90/100 =27
x=27x100/90
x = Rs.30 per kg
10. D)
Let the length of the train = x metre According to question,
50+ x /14 = x/10
500 + 10x = 14x
4x =50
x=125m
We know that, Speed = Distance/time
125+50/14 =175 / 14 m/s
Speed of the train 175/14 * 18/ 5 = 45 km