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Question 1 of 10
1. Question
1 pointsCategory: Quantitative AptitudeA container is filled with 20% hydrochloric acid. 12 litres of that solution is taken out and is replaced by a mixture having 60% hydrochloric acid to make it a solution of 50% hydrochloric acid. Find the initial amount of solution in the container.
Correct
Incorrect
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Question 2 of 10
2. Question
1 pointsCategory: Quantitative AptitudeA girl takes 15 more hours than a boy to complete a work. The girl worked for 30 hours and then the boy replaced him and worked for 10 hours. Thus the work was completed. In how much time, will the work be completed by the girl alone?
Correct
Answer: 1) 45 hours
Explanation:
Let the time taken by the boy to complete the work = x hours and time taken by the girl to complete the work = x+15 hours
Work completed by the boy in one hour = 1/x
Work completed by the boy in 10 hours = 10/x
Work completed by the girl in one hour = 1/x+15
Work completed by the girl in 30 hours = 30/x+15
Since the work is completed
10/x + 30/x+15 = 1
(10x+150+30x) = x²+15x
40x+150 = x²+15x
x²-25x-150 = 0
x = 30 hours
Hence, girl alone can complete the work in 30+15 = 45 hoursIncorrect
Answer: 1) 45 hours
Explanation:
Let the time taken by the boy to complete the work = x hours and time taken by the girl to complete the work = x+15 hours
Work completed by the boy in one hour = 1/x
Work completed by the boy in 10 hours = 10/x
Work completed by the girl in one hour = 1/x+15
Work completed by the girl in 30 hours = 30/x+15
Since the work is completed
10/x + 30/x+15 = 1
(10x+150+30x) = x²+15x
40x+150 = x²+15x
x²-25x-150 = 0
x = 30 hours
Hence, girl alone can complete the work in 30+15 = 45 hours -
Question 3 of 10
3. Question
1 pointsCategory: Quantitative AptitudeShakti bought a wallet at 10% discount on the list price. She then sold it at a price which is 120% of the list price thereby making a profit of Rs. 75. What is the list price of the wallet?
Correct
Answer: 5) Rs. 250
Explanation:
Let the list price of the wallet = 100x
Price at which Shakti bought the wallet = 90% of 100x = 90x
Price at which Shakti sold the wallet = 120% of 100x = 120x
Profit obtained by Shakti = 120x-90x = 30x
30x = 75
x = 75/30 = 2.5
List price of the wallet = 100x = 100*2.5 = Rs. 250Incorrect
Answer: 5) Rs. 250
Explanation:
Let the list price of the wallet = 100x
Price at which Shakti bought the wallet = 90% of 100x = 90x
Price at which Shakti sold the wallet = 120% of 100x = 120x
Profit obtained by Shakti = 120x-90x = 30x
30x = 75
x = 75/30 = 2.5
List price of the wallet = 100x = 100*2.5 = Rs. 250 -
Question 4 of 10
4. Question
1 pointsCategory: Quantitative AptitudeThree taps P, Q, R when opened alternatively for 1 minute each, can fill a tank in 36 minutes. Time taken by P alone is 10 minutes more than Q and R take when working together. Find the time taken by R alone to fill the tank, if R is 20% more efficient than Q.
Correct
Answer: 2) 11 minutes
Explanation:
When P, Q, and R are opened alternately for 1 minute each, time taken by them is 36 minutes. If all of them are opened simultaneously, they will fill tank 3 times faster. Hence time taken by each of them = 36/3 = 12 minutes
Tank filled by them in 1 minute when all of them are opened together = 1/12 units
Let Q and R together takes x minutes
Therefore, P will take x+10 minutes
Now,
1/x + 1/x+10= 1/12
(2x+10)/x²+10x = 1/12
24x+120 = x²+10x
x²-14x-120 = 0
x = 6 minutes
Hence time taken by Q and R together is 6 minutes
Given, R is 20% more efficient than Q.
Let R taken 5T minutes and Q takes 6T minutes
Then,
1/5T + 1/6T = 1/6
11/30T = 1/6
T = 11/5
R takes = 5T = 5*(11/5) = 11 minutesIncorrect
Answer: 2) 11 minutes
Explanation:
When P, Q, and R are opened alternately for 1 minute each, time taken by them is 36 minutes. If all of them are opened simultaneously, they will fill tank 3 times faster. Hence time taken by each of them = 36/3 = 12 minutes
Tank filled by them in 1 minute when all of them are opened together = 1/12 units
Let Q and R together takes x minutes
Therefore, P will take x+10 minutes
Now,
1/x + 1/x+10= 1/12
(2x+10)/x²+10x = 1/12
24x+120 = x²+10x
x²-14x-120 = 0
x = 6 minutes
Hence time taken by Q and R together is 6 minutes
Given, R is 20% more efficient than Q.
Let R taken 5T minutes and Q takes 6T minutes
Then,
1/5T + 1/6T = 1/6
11/30T = 1/6
T = 11/5
R takes = 5T = 5*(11/5) = 11 minutes -
Question 5 of 10
5. Question
1 pointsCategory: Quantitative AptitudeTotal price of a pen and a pencil Rs. 120, when price of pen is decreased by 20% and price of pencil is increase by 40% then total price become Rs. 108. Find increased price of the pencil?
Correct
Answer: 1) Rs. 28
Explanation:
Let the price of pen = 10x and price of pencil = 10y
Total price of pen and pencil = 10x + 10y
10x + 10y = 120
x + y = 12 (equation 1)
Decreased price of pen = {(100-20)/100}*10x = (80/100)*10x = 8x
And increased price of pencil = {(100+40)/100}*10y = (140/100)*10y = 14y
Total new price of pen and pencil = 8x + 14y
8x + 14y = 108
4x + 7y = 54 (equation 2)
Solving equation 1 and equation 2, we get
y = 2
Increased price of pencil = 14y = 14*2 = Rs. 28Incorrect
Answer: 1) Rs. 28
Explanation:
Let the price of pen = 10x and price of pencil = 10y
Total price of pen and pencil = 10x + 10y
10x + 10y = 120
x + y = 12 (equation 1)
Decreased price of pen = {(100-20)/100}*10x = (80/100)*10x = 8x
And increased price of pencil = {(100+40)/100}*10y = (140/100)*10y = 14y
Total new price of pen and pencil = 8x + 14y
8x + 14y = 108
4x + 7y = 54 (equation 2)
Solving equation 1 and equation 2, we get
y = 2
Increased price of pencil = 14y = 14*2 = Rs. 28 -
Question 6 of 10
6. Question
1 pointsCategory: Quantitative AptitudeDirections (6-10): There are 5 subjects i.e. Business, Finance, Insurance, Banking, and Economics each carrying different maximum marks. Business and Finance both carry equal maximum marks i.e. 65. Insurance carries maximum marks 15 more than Business and 20 less than Banking. Total of maximum marks of the 5 subjects is 400. Rohit scored 40% in Business, while Chintu scored 45% in the same subject. Gautam scored only 22.5 marks in Business. Gautam scored 28 marks in Finance which is 30% less than the marks scored by Chintu in the same subject.
The total marks scored by Rohit in Business and Finance is 58. The total of marks scored by Rohit, Chintu, and Gautam in Business is what percent of the total of marks scored by them in Finance.
Correct
Answer: 2) 77.75%
Explanation:
marks scored by Rohit in Business + marks scored by Rohit in Finance = 58
26 + marks scored by Rohit in Finance = 58
marks scored by Rohit in Finance = 58 – 26 = 32
Total marks scored by them in Business = 26+29.25+22.5 = 77.75
Total marks scored by them in Finance = 32+40+28 = 100
Required percentage = (77.75/100)*100 = 77.75%Common Explanation:
Business: maximum marks – 65,
marks scored by Rohit in business = 40% of 65 = 26,
marks scored by Chintu = 45% of 65 = 29.25,
marks scored by Gautam = 22.5
Finance: maximum marks = 65,
marks scored by Gautam = 28,
marks scored by Chintu*{(100-30)/100} = marks scored by Gautam
marks scored by Chintu*{70/100} = 28
marks scored by Chintu= 28*(100/70) = 40
Insurance: maximum marks = maximum marks in business + 15 = 65+15 = 80
Banking: maximum marks = maximum marks in insurance +20 = 80+20 =100
Economics: maximum marks = 400-(65+65+80+100) = 400-310 = 90
Incorrect
Answer: 2) 77.75%
Explanation:
marks scored by Rohit in Business + marks scored by Rohit in Finance = 58
26 + marks scored by Rohit in Finance = 58
marks scored by Rohit in Finance = 58 – 26 = 32
Total marks scored by them in Business = 26+29.25+22.5 = 77.75
Total marks scored by them in Finance = 32+40+28 = 100
Required percentage = (77.75/100)*100 = 77.75%Common Explanation:
Business: maximum marks – 65,
marks scored by Rohit in business = 40% of 65 = 26,
marks scored by Chintu = 45% of 65 = 29.25,
marks scored by Gautam = 22.5
Finance: maximum marks = 65,
marks scored by Gautam = 28,
marks scored by Chintu*{(100-30)/100} = marks scored by Gautam
marks scored by Chintu*{70/100} = 28
marks scored by Chintu= 28*(100/70) = 40
Insurance: maximum marks = maximum marks in business + 15 = 65+15 = 80
Banking: maximum marks = maximum marks in insurance +20 = 80+20 =100
Economics: maximum marks = 400-(65+65+80+100) = 400-310 = 90
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Question 7 of 10
7. Question
1 pointsCategory: Quantitative AptitudeDirections (6-10): There are 5 subjects i.e. Business, Finance, Insurance, Banking, and Economics each carrying different maximum marks. Business and Finance both carry equal maximum marks i.e. 65. Insurance carries maximum marks 15 more than Business and 20 less than Banking. Total of maximum marks of the 5 subjects is 400. Rohit scored 40% in Business, while Chintu scored 45% in the same subject. Gautam scored only 22.5 marks in Business. Gautam scored 28 marks in Finance which is 30% less than the marks scored by Chintu in the same subject.
The ratio of marks score by Chintu in Insurance to the marks scored by Gautam in Finance is 12:7 and the ratio of marks scored by Chintu in Banking to the marks scored by Rohit in Business is 5:2. Find the total marks scored by Chintu in Insurance and Banking.
Correct
Answer: 4) 113
Explanation:
Find the total marks scored by Chintu in Insurance and Banking.
Marks scored by Chintu in Insurance = 28*(12/7) = 48
And marks scored by Chintu in Banking = 26*(5/2) = 65
Total marks scored by Chintu in Insurance and Banking = 48+65 = 113Incorrect
Answer: 4) 113
Explanation:
Find the total marks scored by Chintu in Insurance and Banking.
Marks scored by Chintu in Insurance = 28*(12/7) = 48
And marks scored by Chintu in Banking = 26*(5/2) = 65
Total marks scored by Chintu in Insurance and Banking = 48+65 = 113 -
Question 8 of 10
8. Question
1 pointsCategory: Quantitative AptitudeDirections (6-10): There are 5 subjects i.e. Business, Finance, Insurance, Banking, and Economics each carrying different maximum marks. Business and Finance both carry equal maximum marks i.e. 65. Insurance carries maximum marks 15 more than Business and 20 less than Banking. Total of maximum marks of the 5 subjects is 400. Rohit scored 40% in Business, while Chintu scored 45% in the same subject. Gautam scored only 22.5 marks in Business. Gautam scored 28 marks in Finance which is 30% less than the marks scored by Chintu in the same subject.
The marks scored by Rohit in Finance is 75% of the marks scored by Chintu and Gautam together in that subject. Find the marks scored by Rohit in Finance.
Correct
Answer: 1) 51
Explanation:
Marks scored by Rohit in Finance = 75% of (40+28) = 75% of 68 = 51Incorrect
Answer: 1) 51
Explanation:
Marks scored by Rohit in Finance = 75% of (40+28) = 75% of 68 = 51 -
Question 9 of 10
9. Question
1 pointsCategory: Quantitative AptitudeDirections (6-10): There are 5 subjects i.e. Business, Finance, Insurance, Banking, and Economics each carrying different maximum marks. Business and Finance both carry equal maximum marks i.e. 65. Insurance carries maximum marks 15 more than Business and 20 less than Banking. Total of maximum marks of the 5 subjects is 400. Rohit scored 40% in Business, while Chintu scored 45% in the same subject. Gautam scored only 22.5 marks in Business. Gautam scored 28 marks in Finance which is 30% less than the marks scored by Chintu in the same subject.
Gautam scored 60% overall and the ratio of marks scored by him in Insurance, Banking and Economics is 2:5:3 respectively. Find the marks scored by Gautam in Insurance.
Correct
Answer: 2) 37.9
Explanation:
Total marks scored by Gautam = 60% of 400 = 240
Total marks scored by Gautam in Insurance, Banking and Economics = 240-22.5-28 = 189.5
Marks scored by Gautam in Insurance = 189.5*(2/10) = 37.9Incorrect
Answer: 2) 37.9
Explanation:
Total marks scored by Gautam = 60% of 400 = 240
Total marks scored by Gautam in Insurance, Banking and Economics = 240-22.5-28 = 189.5
Marks scored by Gautam in Insurance = 189.5*(2/10) = 37.9 -
Question 10 of 10
10. Question
1 pointsCategory: Quantitative AptitudeDirections (6-10): There are 5 subjects i.e. Business, Finance, Insurance, Banking, and Economics each carrying different maximum marks. Business and Finance both carry equal maximum marks i.e. 65. Insurance carries maximum marks 15 more than Business and 20 less than Banking. Total of maximum marks of the 5 subjects is 400. Rohit scored 40% in Business, while Chintu scored 45% in the same subject. Gautam scored only 22.5 marks in Business. Gautam scored 28 marks in Finance which is 30% less than the marks scored by Chintu in the same subject.
The ratio of marks scored by Chintu in Finance, Insurance and Banking is 5:7:9 respectively. The overall percentage of marks obtained by him is 64%. Find the marks scored by him in Economics.
Correct
Answer: 5) 58.75
Explanation:
Marks scored by Chintu in Insurance = 40*(7/5) = 56
Marks scored by Chintu in Banking = 40*(9/5) = 72
Total marks scored by Chintu = 64% of 400 = 256
Marks scored by Chintu in Economics = 256 – (29.25+40+56+72) = 256 – 197.25 = 58.75Incorrect
Answer: 5) 58.75
Explanation:
Marks scored by Chintu in Insurance = 40*(7/5) = 56
Marks scored by Chintu in Banking = 40*(9/5) = 72
Total marks scored by Chintu = 64% of 400 = 256
Marks scored by Chintu in Economics = 256 – (29.25+40+56+72) = 256 – 197.25 = 58.75
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