CAT Model Paper 2 Questions and Answers with Explanation Part 3
Glide to success with Doorsteptutor material for CAT : get questions, notes, tests, video lectures and more- for all subjects of CAT.
βShrutilayamβ 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
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. 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, 2BΥs total purified water is litres.
3AΥs total purified water is
Flat β3Aβ purifies litres of water which is lesser than Flats β2Bβ and β3Bβ 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 β2Bβ 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 -1 A use the entire purified water for drinking purposes. The quantity of water used for cooking on Monday, Tuesday, Wednesday, Thursday, and Friday were two-fifth, 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 -1 A 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 β1Aβ in the given period = 66 liters
Water used for cooking in β1Aβ in the given period liters
Hence, the required difference liters
The correct choice is (D)
Q: 16. The requirement for purified water in flat β1Bβ on Saturday is same as the average quantity of the water purified in β1Bβ in the given five-day period. The requirement for purified water in flat β3Bβ on Saturday is 20% more than that of the requirement for purified water in flat β1Bβ on Saturday. By what percent is the requirement for purified water in flat β3Bβ on Saturday more/less than that of the average quantity of the water purified in β3Bβ in the given five-day period?
(A)
(B)
(C)
(D)
Ans: A
Sol:
Average quantity of water purified in flat β1Bβ in the five β day period litres
Hence, purified water required in β1Bβ on Saturday litres
Purified water require in flat β3Bβ on Saturday litres
Average quantity of the water purified in β3Bβ in the five β day period litres
Hence, the required percentage
The correct choice is (A)
Q: 17. are the roots of the euation If value of βkβ ?
(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)