Quantitative Aptitude Quiz (Set - 2)

Dear Readers,
Welcome to the Quantitative Aptitude Section. Here I am presenting some basic level questions in quantitative aptitude with detailed explanation. This will be helpful for your upcoming clerical level exams and as well to build you concept basics!!!!

1. The total cost of fencing a square plat at Rs.9 per metre is Rs.42. What will be the total cost of tiling the same plot, if the cost of tiling is Rs. 20 per m2?
a) Rs.2220
b) Rs.2150
c) Rs.1180
d) Rs.2880
e) Rs.1162
 2. A scooter covers a distance of 30km travelling at an average speed of 36kmph. What distance can the scooter travel in the same time if it increases its speed to 42kmph?
a) 45km
b) 32km
c) 38km
d) 40km
e) 35km
3. 7/8th of the girls and the 6/11th of the boys of a primary school participated in the annual sports. If the number of participating students is 259 out of which 125 are boys. What is the difference between number of boys and number of girls in the primary school?
a) 63
b) 71
c) 79
d) 81
e) None of these
4. Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe can empty the cistern?
a) 110 minutes
b) 100 minutes
c) 120 minutes
d) 90 minutes
e) 130 minutes
5. 24 men can finish a piece of work in 18 days. 30 women can finish the same piece of work in 12 days. In how many days 16 men and 24 women together can finish the same piece of work?
a) 8 5/14
b) 10 11/14
c) 9 9/14
d) 9 1/7
e) 8 8/7
6. Vikram invested Rs.2 lacs at simple interest rate of 12% p.a. for one year. He then added Rs.500 to total amount accumulated at the end of one year and earned simple interest at the rate of 13% p.a. How much amount he would have earned as a simple interest at the end of the second year?
a) Rs.26065
b) Rs.26940
c) Rs.26445
d) Rs.29185
e) Rs.29595
7. If 1/4th of the area rectangular plot is 2700 sq.m and the width of that plot is 90 meters, what is the ratio between the width and the length of the plot?
a) 3:4
b) 4:3
c) 3:1
d) 1:3
e) 4:1
8. A, B and C started a business by investing Rs.8,400, Rs.15,600 and Rs.13,200 respectively. All of them invested for equal period of time. If A’s share of annual profit was Rs.1,960, what was the difference between B’s share of annual profit and C’s share of annual profit?
a) Rs.560
b) Rs.520
c) Rs.540
d) Rs.480
e) Rs.600
9. An electrician bought an old fan for Rs.420 and spent 25% of it on repairing. If he wants to make a profit of Rs.126, what percentage of the cost price should be added to it ?
a) Rs.1.8lakh
b) Rs.1.96lakh
c) Rs.2.1lakh
d) Rs.2.4lakh
e) Rs.3.1lakh
10. The population of a city increases by 15% every year. If the population of the city in 2001 was 4 lakh, what will its population be in 2004?
a) 608350
b) 580000
c) 529000
d) 520000
e) 628000

Answers:
1)d   2)e   3)d   4)b   5)c   6)d   7)a   8)a   9)   10)

Solutions:
1. D) Perimeter of square = 439/9 = 48m
Side of square = 48/4 = 12m
The cost of total tiling = (12 × 12) × 20 sq.m = Rs.2800
2. E) Scooter takes 30/30hrs to cover distance of 30km.
Therefore required distance = 42 × 30/36 km = 35km
3. D) Let the No.of girls in the school = x and No.of boys = y
Therefore 7x/8 = 259 – 125 => 7x = 134 × 8
Therefore x= 153
Same as 6y/11 = 125 => 6y = 11 × 125
Therefore y = 229
Therefore required distance = 229 – 153 = 76
4. B) Let the third pipe alone can empty the cistern in x minutes.
Then, 1/60 + 1/75 – 1/x = 1/50 => 1/x = 1/60 + 1/5 – 1/50 = (5 + 4 – 6)/300 = 1/100
Therefore x = 100 minutes
5. C) 16 men can do the work in = 24 × 18/16 = 27 days
24 women do the same work in = 30 × 12/24 = 15 days
Therefore required days = [(27 × 15)/(27 + 15)] days = 135/14 = 9 9/14 days
6. D) Simple interest after one year = 200000 × 12 × 1/100 = Rs.24000
Required simple intrest after completion of two years = [200000 + 24000 + 500] × 13 × 1/100 = 2245 × 13 = Rs.29185
7. A) Let the length of rectangular field is l.
(90 × l) × ¼ = 2700 => 90 × l = 2700 × 4
Therefore l = 30 × 4 = 120 m
Therefore, required ratio = 90:120 = 3:4
8. A) Let the total profit of the year is x.
 84x/(84 + 156 + 132) = 1960 => 84x = 1960 × 372
Therefore x = Rs.(1960 × 372)/84 = Rs.8680
Therefore, required difference = 156 × 8680/372 – 132 × 8680/372 = 8680/372 × 24 = Rs.560
9. C) Let the total inverstment be x
x/(3 + 5 + 6) x 5 = 75000
or x/14 = 75000/5
x = 14 x 15000 = 21000
10. A) Population = 400000 x 115/100 x 115/100 x 115/100 = 608350