Quantitative Aptitude

1. If the sum of a number of two digits and a numbers formed by reversing the digits is 99, then what is the sum of the digits of the original number?

(a) 9

(b) 81

(c) Cannot be known

(d) 18

2. What is the unit number in the value of (729)^59 ?

(a) 9

(b) 8

(c) 7 

(d) 6

3. If one-third part of a tank is filled with water, it contains 80 L water. How much water is required for filling the half of the tank?

(a) 20 L 

(b) 120 L 

(c) 8/3 L

(d) 100 L 

4. The HCF of two numbers is 8. Which one of the following can never be their LCM?

(a) 48

(b) 56

(c) 60

(d) 24

5. If 45 men can complete a work in 30 days working 12 h a day, in how many days will 60 men complete the work working 10 h a day?

(a) 31

(b) 29

(c) 25

(d) 27

6. A merchant marks his goods up by 60% and then offers a discount on the marked price. If the final selling price after the discount results in the merchant making no profit or loss, what was the percentage discount offered by the merchant?

(a) 60

(b) 40

(c) 37.5

(d) Depends on the cost price 

7. A trader makes a profit equal to the selling price of 75 articles when he sold 100 of the articles. What percentage of profit did he make in the transaction?

(a) 33.33%

(b) 75%

(c) 300%

(d) 150%

8. The ratio between boys and girls in a school is 4 : 6 respectively. If the number of boys is increased by 200 the ratio becomes 5 : 6 respectively. How many girls are there in the school?

(a) 1200

(b) 800

(c) 1000

(d) can not be determined

9. The monthly salary of Preeti is Rs. 20000, which is Rs.2000 less that the salary of Meeta. What is ratio between the salary of Preeti and Meeta respectively?

(a) 11 : 10

(b) 9 : 10

(c) 10 : 9

(d) 10 : 11

10. Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of 7 apples and 8 mangoes is Rs. 48. Find the total cost of 24 apples and 24 mangoes.

(a) 1044 

(b) 2088

(c) 720

(d) 324

Answers Key
1.(a)
2.(a)
3.(b)
4.(c)
5.(d)
6.(c)
7.(c)
Let S be the Selling price of 1 article,
Therefore, the selling price of 100 articles=100 S
Profit earned by selling these 100 articles=selling price of 75 articles = 75 S
We know that, Selling Price (SP)=Cost Price (CP)+Profit
So, we get
100S = CP+75S. Hence, CP
=100S-75S=25S
Profit percentage = Profit/(Cost Price)×100%
=75S/25S×100%=300%
8.(a)
9.(d)
10.(b)
Average cost of 5 apples and 4 mangoes=Rs.36
Total cost=36×9=324
Average cost of 7 apples and 8 mangoes=48
Total cost=48×15=720
Total cost of 12 apples and 12 mangoes
=324+720=1044
Therefore, cost of 24 apples and 24 mangoes =1044×2=2088