Directions (1-5): Read the given information carefully to answer these questions:
A survey is conducted in a music school. It is found that 45% people can play Guitar, 25% can play Flute and 35% can play Violin. 7.5% can play Guitar and Violin. 6% can play Flute and Violin and 12.5% can play Guitar and Flute. 5% can play all three instruments. Among the people who can play only Guitar, 35% can sing, 40% can dance and 15% can dance and sing both. The survey conducted on total 200 people.
1. How many people can play Guitar only and can dance also but can’t sing?
(1) 15
(2) 21
(3) 24
(4) 36
(5) 40
2. How many people can’t play any instrument?
(1) 24
(2) 28
(3) 32
(4) 36
(5) 40
3. How many people can play only Violin?
(1) 70
(2) 54
(3) 57
(4) 53
(5) None of these
4. How many people can play only Guitar but can’t sing or dance?
(1) 24
(2) 25
(3) 22
(4) 21
(5) 19
5. What is the ratio between ihe number of people who can play Guitar and Flute but can’t play Violin and the number of those who can play Guitar and Violin but can’t play Flute?
(1) 2 : 3
(2) 4 : 1
(3) 1 : 2
(4) 4 : 3
(5) 3 : 1
Directions (6-10): 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.
6. 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
7. 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%
8. 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%
9. 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
10. 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 (11-15): 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
11. All the members are from Class VI?
(1) 13200
(2) 6600
(3) 1100
(4) 91
(5) None of these
12. The teacher is from Class VI but students are from Class V?
(1) 13800
(2) 6900
(3) 16560
(4) 3960
(5) None of these
13. 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
14. 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
15. 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)
1. (1) 15
2. (3) Total number of people can’t play any instrument = 200 – (60 + 53 + 23 + 15 + 10 + 5 + 2) = 200 – 168 = 32
3. (4)
4. (1)
5. (5)
Solutions (6-10)
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)/20 = 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
6. (3) Average Exp of all the three companies =
7. (2) Req % = (24/40)/100 = 60%
8. (5) Req % = (56-40)/56 * 100 = 40%
9. (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
10. (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 (11-15)
11. 2
12. 1
13. 4
14. 1
15. 4
A survey is conducted in a music school. It is found that 45% people can play Guitar, 25% can play Flute and 35% can play Violin. 7.5% can play Guitar and Violin. 6% can play Flute and Violin and 12.5% can play Guitar and Flute. 5% can play all three instruments. Among the people who can play only Guitar, 35% can sing, 40% can dance and 15% can dance and sing both. The survey conducted on total 200 people.
1. How many people can play Guitar only and can dance also but can’t sing?
(1) 15
(2) 21
(3) 24
(4) 36
(5) 40
2. How many people can’t play any instrument?
(1) 24
(2) 28
(3) 32
(4) 36
(5) 40
3. How many people can play only Violin?
(1) 70
(2) 54
(3) 57
(4) 53
(5) None of these
4. How many people can play only Guitar but can’t sing or dance?
(1) 24
(2) 25
(3) 22
(4) 21
(5) 19
5. What is the ratio between ihe number of people who can play Guitar and Flute but can’t play Violin and the number of those who can play Guitar and Violin but can’t play Flute?
(1) 2 : 3
(2) 4 : 1
(3) 1 : 2
(4) 4 : 3
(5) 3 : 1
Directions (6-10): 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.
6. 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
7. 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%
8. 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%
9. 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
10. 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 (11-15): 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
11. All the members are from Class VI?
(1) 13200
(2) 6600
(3) 1100
(4) 91
(5) None of these
12. The teacher is from Class VI but students are from Class V?
(1) 13800
(2) 6900
(3) 16560
(4) 3960
(5) None of these
13. 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
14. 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
15. 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)
1. (1) 15
2. (3) Total number of people can’t play any instrument = 200 – (60 + 53 + 23 + 15 + 10 + 5 + 2) = 200 – 168 = 32
3. (4)
4. (1)
5. (5)
Solutions (6-10)
Company
|
Profit
In Cr
|
Income
In Cr
|
Expenditure
In Cr
|
A
|
20
|
60
|
40
|
B
|
16
|
40
|
24
|
C
|
24
|
80
|
56
|
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)/20 = 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
6. (3) Average Exp of all the three companies =
7. (2) Req % = (24/40)/100 = 60%
8. (5) Req % = (56-40)/56 * 100 = 40%
9. (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
10. (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 (11-15)
11. 2
12. 1
13. 4
14. 1
15. 4
No comments:
Post a Comment