CAT Model Paper 2 Questions and Answers with Explanation Part 3

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Start Passage

“Shrutilayam” is an apartment complex consisting of six flats namely 1A, 1B, 2A, 2B, 3A, and 3B. From the water meters installed in each of these flats, the daily water usage (in litres) in a particular 5-day period is obtained and listed in the graph below

Q 13 - 16 Graph of Daily Water Usage

Q 13 - 16 Graph of Daily Water Usage

Each flat has an electronic water purifier installed from which details about the total quantity of water purified every day is obtained. The following bar graph gives details about water purified every day as a percentage of daily water usage for each of the six residences.

Q 13 - 16 1 Graph of Daily Water Purified

Q 13 - 16 1 Graph of Daily Water Purified

Q: 13. In the given time period, water purified in which of the six flats is the third highest?

(A) 1A

(B) 1B

(C) 3A

(D) 3B

Ans:

Sol:

total purified water is

Similarly total purified water is

total purified water is

Similarly 2B‘s total purified water is litres.

3A‘s total purified water is

Flat purifies litres of water which is lesser than Flats only.

Q: 14. On Tuesday, 2.5 liters of pure water available from the previous day in flat as purified water was not used completely on Monday. Cooking or drinking is done using purified water only. On Tuesday, if the water used for cooking was 42.85% of the total purified water available for use, then what is the maximum quantity of water available for drinking on Tuesday(in litres)?

(A) 12

(B) 16

(C) 21

(D) 28

Ans: B

Sol:

Water purified in flat “2B” on Tuesday

Purified water available from earlier days

Total purified water available liters

Water used for cooking liters

Hence, maximum possible quantity of water available for drinking liters. The correct is (B)

Q: 15. Residents of the flat ―1A use the entire purified water for drinking purposes. The quantity of water used for cooking on Monday, Tuesday, Wednesday, Thursday and Friday were two-fifths, one-fifth, one-fourth, one-third and two-seventh of the total water used on those days respectively. What is the difference between the total water used for drinking and the total water used for cooking by ―1A in the given period?

(A) 18 litres

(B) 19.5 litres

(C) 23 litres

(D) 17.5 litres

Ans: D

Sol:

Total water used for drinking purposes in Flat “1A” in the given period =66 liters

Water used for cooking in “1A” in the given period liters

Hence, the required difference liters

The correct choice is (D)

Q: 16. The requirement for purified water in flat “1B” on Saturday is same as the average quantity of the water purified in “1B” in the given five-day period. The requirement for purified water in flat “3B”on Saturday is 20% more than that of the requirement for purified water in flat “1B on Saturday. By what percent is the requirement for purified water in flat “3B” on Saturday more/less than that of the average quantity of the water purified in “3B” in the given five-day period?

(A)

(B)

(C)

(D)

Ans: A

Sol:

Average quantity of water purified in flat “1B” in the five – day period litres

Hence, purified water required in on Saturday litres

Purified water require in flat “3B” on Saturday litres

Average quantity of the water purified in “3B” in the five –day period litres

Hence, the required percentage

The correct choice is (A)

End Passage

Q: 17. are the roots of the euation If value of “k”?

(A) 8

(B) 2

(C) -8

(D) Cannot be determined

Ans:

Sol:

In a cubic equation of the form, ,

Sum of roots:

Sum of product of roots taken two at a time:

Product of roots:

Considering the equation, and substituting

Substituting for in the above expression,

The correct choice is (C)

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