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Test: Arun Sharma Based Level 3: Percentages - CAT MCQ


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15 Questions MCQ Test - Test: Arun Sharma Based Level 3: Percentages

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Test: Arun Sharma Based Level 3: Percentages - Question 1

X ’s income is 75% of Y ’s income, and X ’s expenditure is 80% of Y ’s expenditure. If X ’s income is 90% o f Y ’s expenditure, find the ratio of X ’s savings to Y ’s savings.

Detailed Solution for Test: Arun Sharma Based Level 3: Percentages - Question 1

Test: Arun Sharma Based Level 3: Percentages - Question 2

There are fifty successive percentage discounts given in a series of 2%, 4%, 6%, 8%... and so on. What is the net discount?

Detailed Solution for Test: Arun Sharma Based Level 3: Percentages - Question 2


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Test: Arun Sharma Based Level 3: Percentages - Question 3

Assuming percentage to be true for all the real values, which of the following can be true?

40% of A = 60% of B

i. A > B

ii. B > A

iii. B = A

Detailed Solution for Test: Arun Sharma Based Level 3: Percentages - Question 3

2/5 A = 3/5 B , 2A =3B

Test: Arun Sharma Based Level 3: Percentages - Question 4

Read the passage below and solve the questions based on it.
All students of class X took the pre-board test. One third of the class received B: one fourth received B+: one sixth received B-, and one eighth of the class failed (grade C). Everyone else got A.

Q.

What can be the minimum number of students in class X

Detailed Solution for Test: Arun Sharma Based Level 3: Percentages - Question 4

For (3x/24) to be an integer, min. value of x = 24.

Test: Arun Sharma Based Level 3: Percentages - Question 5

In the recently concluded referendum in New York, regarding calling back US troops from Iraq, 600 people voted on a referendum, but after some discussion the opponents increased by 150%. The motion was then rejected by a majority two times as great as that which it was formerly passed. How many people voted against the initial referendum?

Detailed Solution for Test: Arun Sharma Based Level 3: Percentages - Question 5

The best way to solve the question is through options. 

Test: Arun Sharma Based Level 3: Percentages - Question 6

For admission in a graduation program of Delhi University, 90% of the candidates who appeared for the written test were males and the rest were females, 60% of the males and 80% of the females passed in the written test. What is the total number of students who appeared for the written test, if the total number of passed candidates was 1240?

Detailed Solution for Test: Arun Sharma Based Level 3: Percentages - Question 6

Let total no. of students appeared = x

Test: Arun Sharma Based Level 3: Percentages - Question 7

60% of the students of a class are boys and in an examination, 80% of the girls scored more than 40 marks (out of a maximum possible 150 marks). If 60% of the total students scored more than 40 marks in the same examination, find the fraction of the boys who scored 40 marks or less.

Detailed Solution for Test: Arun Sharma Based Level 3: Percentages - Question 7

Assume Total no of students = 100
60% of the students are boys, so Boys = 60, Girls = 40
No. of girls who scored more than 40 marks = 80% of girls = 80% of 40 = 32.
No. of students who scored more than 40 marks = 60% of Total Students = 60
Therefore No. of boys who scored more than 40 marks = 60 - 32 = 28
No. of boys who scored less= Total boys – Boys(scored more) = 60 - 28 = 32
Fraction= (scored less)/Total boys = 32/60 =8/15

Test: Arun Sharma Based Level 3: Percentages - Question 8

A community service organisation has raised 80% of the donation that it needed for a new building by receiving an average donation of Rs 400 per person from a group of people. To raise the remaining amount, the organisation now intends approaching another group of people which has two-thirds the number of people as the first group. What should be the average donation per person from the new group?

Detailed Solution for Test: Arun Sharma Based Level 3: Percentages - Question 8

Test: Arun Sharma Based Level 3: Percentages - Question 9

In the US opinion polls held during August, 60% of the respondents favoured Walter Mondale while the rest favoured George W. Bush. It was found in September polls that 10% of Mondale supporters switched their preference to Bush, while the same percentage of Bush’s supporters also switched their preference toMondale. What percentage of the electorate should now switch their preference from Mondale to Bush so that they are at par?

Detailed Solution for Test: Arun Sharma Based Level 3: Percentages - Question 9

Let total no. of respondents =100 People favoured Mondale = 60 People favoured blesh = 40 New

No. of people favouring mandale = 58 New No. of people favouring bush = 42

Required percent = 14%

Test: Arun Sharma Based Level 3: Percentages - Question 10

Read the passage below and solve the questions based on it Abhay, Bhaskar. Chitra and Danny work in the same office. Abhay’s Salary is 20% less than Bhaskar's salary, Chitra’s salary is 25% more than Abhay's salary.Danny’s salary is 20% more than Abhay's salary.
Q. If Abhay has a salary of Rs 10,000 per month, who has a salary of Rs 12,500 per month?

Detailed Solution for Test: Arun Sharma Based Level 3: Percentages - Question 10

Salary of Abhay = Rs 10000
Salary of Bhaskar = Rs 12500
Chitra’s salary = Rs 12500
Dany’s Salary = Rs 12000

Test: Arun Sharma Based Level 3: Percentages - Question 11

Read the passage below and solve the questions based on it Abhay, Bhaskar. Chitra and Danny work in the same office. Abhay's salary is 20% less than Bhaskar's salary, Chitra’s salary is 25% more than Abhay's salary. Danny's salary is 20% more than Abhay's salary.
Q. If Chitra received a raise and her new salary is 10% higher than Danny’s, what is her new monthly salary? (use the data from the previous question).

Detailed Solution for Test: Arun Sharma Based Level 3: Percentages - Question 11

Chitra’s New Salary = Rs 13200

Test: Arun Sharma Based Level 3: Percentages - Question 12

The pollution in normal atmosphere is less than 0.01%. Due to leakage of methyl isocyanide (MIC) from a factory the pollution is increased to 20%. If every day 80% of the pollution in the atmosphere is neutralized, in how many days will the atmosphere become normal?

Detailed Solution for Test: Arun Sharma Based Level 3: Percentages - Question 12

The pollution has been increased to 20%.

Every day, 80% pollution is being neutralized, so only 20% of the total pollution remains the next day.
Let x days be needed to bring back the pollution to normal.
Thus, (0.2)x×0.2<0.0001
⇒(0.2)x<0.0005
We have (0.2)4=0.0016 and (0.2)= 0.00032 (can guess the value x on the basis of number of digits after decimal point too)
Hence,minimum of 6 days will be required to bring the pollution back to normal.

Test: Arun Sharma Based Level 3: Percentages - Question 13

Forty percent of the employees of a certain company are men, and 75 percent of the men earn more than Rs. 25,000 per year. If 45 percent of the company's employees earn more than Rs. 25,000 per year, what fraction of the women employed by the company earn Rs. 25,000 year or less'?

Detailed Solution for Test: Arun Sharma Based Level 3: Percentages - Question 13

Let the number of employees be 100.

=> 40 men and 60 women.

Number of men getting more than 25000 = 30

Number of people getting more than 25000 = 45

Number of women getting more than 25000 = 45 - 30 = 15

Fraction of women getting less than 25000 = 45/60 = 3/4

Test: Arun Sharma Based Level 3: Percentages - Question 14

A student took five papers in an examination, where the full marks were the same for each paper. His marks in
these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the
total marks. Then the number of papers in which he got more than 50% marks is

Detailed Solution for Test: Arun Sharma Based Level 3: Percentages - Question 14

Let the marks in the five papers be 6k, 7k, 8k, 9k and 10k respectively.
So, the total marks in all the 5 papers put together is 40k. This is equal to 60% of the total maximum marks. So,
the total maximum marks is 5/3 * 40k
So, the maximum marks in each paper is 5/3 * 40k / 5 = 40k/3 = 13.33k
50% of the maximum marks is 6.67k
So, the number of papers in which the student scored more than 50% is 4

Test: Arun Sharma Based Level 3: Percentages - Question 15

In a village, the production of food grains increased by 40% and the per capita production of food grains increased by 27% during a certain period. The percentage by which the population of the village increased during the same period is nearest to

Detailed Solution for Test: Arun Sharma Based Level 3: Percentages - Question 15

Let initial population and production be x,y and final population be z

Final production = 1.4y, final percapita = 1.27 times initial percapita

Hence the percentage increase in population = 10%

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