Quant Quiz

Directions (1-5): Read the given information carefully to answer these questions:

We compare the balance sheet of three companies A, B and C in the year 2005. .We found the total profit of all three companies to be Rs 60 crores and the profit of Company A is the average profit of all these three companies. Profit of Company B is 20% less than that of Company A and profit of Company C is 20% more than that of Company A. Profit of Company B is 20% of the income of Company C. Profit of Company B is also equal to 40% of the expenses of Company A, which is equal to the income of Company B. Now answer the following questions.


1. What is the average expenditure of all the three companies?
(1) Rs 24 crores
(2) Rs 36 crores
(3) Rs 40 crores
(4) Rs 44 crores
(5) None of these

2. Expenditure of Company B is how much per cent of the expenditure of Company A?
(1) 50%
(2) 60%
(3) 64%
(4) 72%
(5) 80%

3. Expenditure of Company C is how much per cent more than the expenditure of Company A?
(1) 24%
(2) 25%
(3) 30%
(4) 36%
(5) 40%

4. What is the ratio of the average income to the average profit of all the three companies?
(1) 3 : 1
(2) 3 : 2
(3) 4 : 1
(4) 4 : 3
(5) 2 : 1

5. If the percentage rise in profit of Company A is 20% per annum in future years, what will be the profit of Company A in the year 2007?
(1) Rs 28 crores
(2) Rs 28.8 crores
(3) Rs 32 crores
(4) Rs 32.8 crores
(5) Rs 48 crores

Directions (6-10): Read the given information carefully to answer these questions:

There are 24 boys and 10 girls in Class V. They are taught by 6 teachers. There are 12 boys and 20 girls in Glass VI. They are taught by 5 teachers. No teacher is common in the two classes. A team of two boys, one girl and one teacher is selected for a camp. In how many ways can the team be selected so that

6. All the members are from Class VI?
(1) 13200
(2) 6600
(3) 1100
(4) 91
(5) None of these

7. The teacher is from Class VI but students are from Class V?
(1) 13800
(2) 6900
(3) 16560
(4) 3960
(5) None of these

8. The boys are from Class VI, the girl is from Class V and the teacher is from any of the classes?
(1) 60720
(2) 1210
(3) 3630
(4) 7260
(5) None of these

9. What is the probability that the girl Renuka of Class V is selected for the camp?
(1) 1/30
(2) 1/10
(3) 1/20
(4) 1/200
(5) None of these

10. What is the probability that the teacher of Class VI is selected for the camp?
(1) 1
(2) 1/2
(3) 6/11
(4) 5/11
(5) None of these







Answers:

Solutions (1-5):
Total Profit = 60 Crore

According to Qs:

Profit of Company B is 20% of the Income of Company C
Let Income of Company C is P
So P x 20% = 16
P = (16 * 100)/100 = 80 Cr.

Income of Company C = 80 Cr

Profit of Company B is also equal to 40% of the Expenses of Company A

Let Expense of Company A is P

So P x 40% = 16
P = (16 * 100)/40 = 40 Cr
Expense of Company A = 40 Cr

Company	Profit In Cr	Income In Cr	Expenditure In Cr
A	20	60	40
B	16	40	24
C	24	80	56

1. (3) 

2. (2) Req % = 24/40 * 100 = 60%

3. (5) Req % = (56 - 40)/56 * 100 = 40%

4. (1) Total Average Income of the company = 180/3= 60 crore
Total Average Profit of the company = 60/3 = 20 Crore

Req Ratio 60 : 20 = 3 : 1

5. (2) In 2006 Profit of company A = 120/100 * 20 = 24 Crore

In 2007 Profit of company A = 120/100 * 24 = 28.8 Crore


Solutions (6-10)

6. 2

7. 1

8. 4

9. 1

10. 4