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CAT Practice Test: Week 10 - CAT MCQ


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30 Questions MCQ Test - CAT Practice Test: Week 10

CAT Practice Test: Week 10 for CAT 2024 is part of CAT preparation. The CAT Practice Test: Week 10 questions and answers have been prepared according to the CAT exam syllabus.The CAT Practice Test: Week 10 MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for CAT Practice Test: Week 10 below.
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CAT Practice Test: Week 10 - Question 1
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A and B, working 8 hours a day, can do a piece of work in 20 days and 30 days, respectively. On weekends, they work for only 1 hour and on weekdays, they work for 4 hours. If they start working together on Sunday, then on which day will they finish the task? (Assume that weekend includes Saturday and Sunday)  

Detailed Solution for CAT Practice Test: Week 10 - Question 1

A needs 160 hours and B needs 240 hours to complete the work separately.

In 1 week, they will work for (2 × 1 + 5 × 4) = 22 hours.
In 4 weeks, they will work for 88 hours.
On Tuesday of the fifth week, they will finish their work.

CAT Practice Test: Week 10 - Question 2
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Water flows from a pipe of sectional area 500 cm2 at the rate of 8 m/min. How long would it take to fill a tank whose dimensions are 6 m × 4 m × 4 m?  

Detailed Solution for CAT Practice Test: Week 10 - Question 2

Let the required time be p hours.
Then, Volume of water flowing through pipe in p hours = Volume of the cistern
⇒ 500 × 10-4 × 8 × 60 × p = 6 × 4 × 4
⇒ p = 4

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CAT Practice Test: Week 10 - Question 3
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P can do a piece of work in 80 days. He works at it for 10 days and then Q alone finishes the remaining work in 42 days. The two together would have completed the work in  

Detailed Solution for CAT Practice Test: Week 10 - Question 3

Work done by P in 10 days 

Remaining work 

Now, 7/8 of work is done by Q in 42 days Whole work will be done by Q in 42 × 8/7 = 48 days
P`s 1 day work = 1/80 and Q`s 1 day work = 1/48

Hence, both will finish the work in 30 days.

CAT Practice Test: Week 10 - Question 4
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Tap 'x' can fill the tank in 8 hours. Tap 'y' can empty it in 12 hours. Both the taps were opened for 4 hours and then, tap 'y' was closed. How much more time will it take to fill the tank completely?
Detailed Solution for CAT Practice Test: Week 10 - Question 4

In 1 hour, pipe 'x' can fill 1/8 part of the tank.
In 1 hour, pipe 'y' can empty 1/12 part of the tank.
In 1 hour, both pipes can fill =  part = 1/24 part of the tank.
In 4 hours, both x and y can fill 1/6 part of the tank.
So to fill  5/6th of the tank, tap x will take 5/6 × 8 = 20/3 = 

CAT Practice Test: Week 10 - Question 5
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A group of 60 men can complete a piece of work in a certain number of days. If 10 more men join them, then the work can be completed in 8 days less. How many days will be required to complete the same work by 100 men?
Detailed Solution for CAT Practice Test: Week 10 - Question 5

Let the amount of work done by 1 man in 1 day be w.
Let the total number of days taken initially to complete the work be d.
Let the amount of total work be W.
So, 60dw = W ...(i)
Now, when 70 men do the work, it takes 8 days less.
So, 70w(d - 8) = W ...(ii)
Equating (i) and (ii), we get:
60d = 70(d - 8)
d = 56
So, W = w × 60 × 56
Now, let 100 men take D days to complete the work.
So, 100 × D × w = W = w × 60 × 56

CAT Practice Test: Week 10 - Question 6
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A and B can do a piece of work in 10 days and A alone can do it in 15 days. In how many days can B alone do it?  
Detailed Solution for CAT Practice Test: Week 10 - Question 6

Total time taken by A and B together to finish the work = 10 days
And time taken by A alone to finish the work = 15 days
∴ A and B together can do 1/10 of the work in one day and A can do 1/15 of the work in a day.
Work done by B in one day 

So, B takes 30 days to do the work alone. 

CAT Practice Test: Week 10 - Question 7
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A contractor was asked to build a garage. He employed a number of men of equal efficiency. They could finish the job in 6 hours if they worked simultaneously, but he told them to begin one after the other, such that the intervals between their starting times should be equal. After the last worker had begun working, a time interval of the same length elapsed and the job was finished. Each one of the workers worked till the completion of the job. If the first man to begin worked 5 times as long as the last one to begin, in how many hours was the garage built?
Detailed Solution for CAT Practice Test: Week 10 - Question 7

Since the workers began working one after the other, the interval between their starting times is the same. The first to begin worked five times as long as the last to begin. The number of workers is equal to 5.
If the last worker to begin worked for x hours, then the total working hours = x + 2x + 3x + 4x + 5x = 15x
The men could have finished the work in 6 hours, had they begun at the same time, i.e. 15x = 5 × 6 or x = 2
The job lasted for 5x = 10 hours.

CAT Practice Test: Week 10 - Question 8
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An inlet pipe A lets water in a tank at 2 litres per minute and another pipe B lets water in at 3 litres per minute. There is an outlet pipe at the bottom, which can empty the tank in 10 hours. If all the three pipes were kept on, then the tank would be filled in 8 hours. What is the capacity of the tank?
Detailed Solution for CAT Practice Test: Week 10 - Question 8

In 8 hours, the outlet pipe can empty 8/10 of the tank.
So, in 8 hours, both the inlet pipes together will fill 18/10 of the tank.
18/10  tank = (2 + 3 litres) × 60 × 8 litres = 2400 litres
Capacity of the tank 

CAT Practice Test: Week 10 - Question 9
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20 men can complete a work in 50 days, working for 5 hours a day. After 15 days from the start of work, 10 men quit. How many hours per day do the remaining men have to work so as to complete the work on time?  
Detailed Solution for CAT Practice Test: Week 10 - Question 9

Total Work = Number of workers × number of days × number of hours = 20 × 50 × 5 = 5000 units
Let remaining 10 men have to work n hours a day. So, remaining 10 workers work for 35 days.
Total Work = Work done by 20 workers in '15' days working 5 hours a day + Work done by 10 workers in 35 days working n hours a day.
5000 units = 20 × 15 × 5 + 10 × 35 × n
n = 10 hours

CAT Practice Test: Week 10 - Question 10
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A contractor employs 200 men to build a dam. They finish 5/6 part of the work in 10 weeks. Due to rain, the work remains suspended for 4 weeks and also half of the work already done is washed away. When the work is resumed, only 140 men turn up. The total time in which the contractor is able to complete the work is (Assuming there are no further disruptions)  
Detailed Solution for CAT Practice Test: Week 10 - Question 10

The work remains suspended for 4 weeks and 1/2 of 5/6 work done is washed away.
Therefore, they have to do 

By applying chain rule, 


x = 10 week
Therefore, required time = 10 + 4 + 10 = 24 weeks

CAT Practice Test: Week 10 - Question 11
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If ‘+’ means ‘divided by’, ‘-‘ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of 17 ÷ 11 – 12 + 6?
Detailed Solution for CAT Practice Test: Week 10 - Question 11

17 × 11 + 12 ÷ 6

⇒ 187 + 2

⇒ 189.

Hence, the option A is correct.

CAT Practice Test: Week 10 - Question 12
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If ‘+’ means ‘÷’, ‘–‘ means ‘×’, ‘×’ means ‘+‘, ‘÷’ means ‘– ‘,  given the value of 45 + 9 – 3 × 15 ÷ 2.
Detailed Solution for CAT Practice Test: Week 10 - Question 12

45 ÷ 9 × 3 + 15 – 2.

= 5 × 3 + 15 – 2.

= 15 + 15 – 2 = 28.

CAT Practice Test: Week 10 - Question 13
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If ‘–‘ stands for ‘÷’, ‘+’ stands for ‘×’, ‘÷’ stand for ‘–‘ and ‘×’ stands for ‘+’, which one of the following question is correct?
Detailed Solution for CAT Practice Test: Week 10 - Question 13

30 ÷ 6 × 5 + 4 – 2 = 27

→ 5 × 5 + 4 – 2 = 27.

→ 29 – 2 = 27.

→ 27 = 27.

CAT Practice Test: Week 10 - Question 14
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If + means –, – means ×, ÷ means + and × means ÷, then 12 – 4 + 9 × 3 ÷ 3 = ?
Detailed Solution for CAT Practice Test: Week 10 - Question 14

12 × 4 - 9 ÷ 3 + 3

⇒ 48 - 3 + 3
 
⇒ 48.

Hence, the option B is correct.

CAT Practice Test: Week 10 - Question 15
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 If ‘+’ stands for ‘multiplication’, ‘<’ stands for ‘division’, ‘÷’ stands for ‘subtraction’, ‘–‘ stand for ‘addition’ and ‘×’ stands for ‘greater’ than. Identify which expression is correct?
Detailed Solution for CAT Practice Test: Week 10 - Question 15

= 20 ÷ 2 × 10 – 4 + 6 > 100

= 10 × 10 – 4 + 6 > 100

= 106 – 4 > 100

=   102 > 100.

CAT Practice Test: Week 10 - Question 16
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If $ means +, # means –, @ means × and  * means ÷, then what is the value of 12 $ 6 @ 8 # 65 * 5?
Detailed Solution for CAT Practice Test: Week 10 - Question 16

12 + 6 × 8 - 65 ÷ 5

⇒ 12 + 48 - 13

⇒ 60 - 13

⇒ 47.

Hence, the option C is correct.

CAT Practice Test: Week 10 - Question 17
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If ‘<’ means ‘minus’, ‘>’ means ‘plus’, ‘=’ means ‘multiplied by’ and ‘$’ means ‘divided by’ then what would be the value of 35 > 63 $ 7 < 4?
Detailed Solution for CAT Practice Test: Week 10 - Question 17

35 + 63 ÷ 7 - 4

⇒ 35 + 9 - 4

⇒ 40.

Hence, the option B is correct.

CAT Practice Test: Week 10 - Question 18
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If P denotes ‘+’, Q denotes ‘–‘, R denotes ‘×’ and S denotes ‘÷’, then which of the following statement is correct ?
Detailed Solution for CAT Practice Test: Week 10 - Question 18

= 8 × 8 + 8 ÷ 8 – 8

= 8 × 8 + (8/8) – 8

= 64 +1 – 8 = 57.

CAT Practice Test: Week 10 - Question 19
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If ‘R’ stands for ‘–‘, ‘A’ stands for ‘+’, ‘B’ stands for ‘÷’ and ‘C’ stands for ‘×’, then what is the value of the given equation ?(BODMAS rule will not be applicable).

25 A 37 C 2 B 4 R 1 = ?
Detailed Solution for CAT Practice Test: Week 10 - Question 19

= 25 + 37 × 2 ÷ 4 – 1 

= 62 × 2 ÷ 4 – 1 

= 124 ÷ 4 – 1 

= 31 – 1 = 30.

CAT Practice Test: Week 10 - Question 20
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If ÷ means ×, × means +, + means – and – means ÷, find the value of 19 × 3 + 7 – 2 ÷ 6.
Detailed Solution for CAT Practice Test: Week 10 - Question 20

19 + 3 - 7 ÷ 2 × 6

Hence, the option A is correct.

CAT Practice Test: Week 10 - Question 21
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Read the each sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. The letter of that part is the answer. If there is no error, the answer is 'D'. (Ignore the errors of punctuation, if any).
Detailed Solution for CAT Practice Test: Week 10 - Question 21

There is no error in the sentence.
 

CAT Practice Test: Week 10 - Question 22
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Read the each sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. The letter of that part is the answer. If there is no error, the answer is 'D'. (Ignore the errors of punctuation, if any).
Detailed Solution for CAT Practice Test: Week 10 - Question 22

If I have the time

CAT Practice Test: Week 10 - Question 23
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Read the each sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. The letter of that part is the answer. If there is no error, the answer is 'D'. (Ignore the errors of punctuation, if any).
Detailed Solution for CAT Practice Test: Week 10 - Question 23

was ITC's Gold Flake Kings sales of which are estimated' or 'whose sales are estimated.

CAT Practice Test: Week 10 - Question 24
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Read the each sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. The letter of that part is the answer. If there is no error, the answer is 'D'. (Ignore the errors of punctuation, if any).
Detailed Solution for CAT Practice Test: Week 10 - Question 24

'was that he was too young'

CAT Practice Test: Week 10 - Question 25
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Read the each sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. The letter of that part is the answer. If there is no error, the answer is 'D'. (Ignore the errors of punctuation, if any).
Detailed Solution for CAT Practice Test: Week 10 - Question 25

between you and me

CAT Practice Test: Week 10 - Question 26
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Read each sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. The letter of that part is the answer. If there is no error, the answer is 'D'. (Ignore the errors of punctuation, if any).
Detailed Solution for CAT Practice Test: Week 10 - Question 26

sank in the Pacific Ocean

CAT Practice Test: Week 10 - Question 27
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Read the each sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. The letter of that part is the answer. If there is no error, the answer is 'D'. (Ignore the errors of punctuation, if any).
Detailed Solution for CAT Practice Test: Week 10 - Question 27

'Neither' is the term used in case of referring to two people. Also, 'is' can't be used in case of plural forms. So, the error is in sentence B. 

CAT Practice Test: Week 10 - Question 28
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Read the each sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. The letter of that part is the answer. If there is no error, the answer is 'D'. (Ignore the errors of punctuation, if any).
Detailed Solution for CAT Practice Test: Week 10 - Question 28

to look after the marketing network of the company

CAT Practice Test: Week 10 - Question 29
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Read the each sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. The letter of that part is the answer. If there is no error, the answer is 'D'. (Ignore the errors of punctuation, if any).
Detailed Solution for CAT Practice Test: Week 10 - Question 29

travelling has become very pleasant

CAT Practice Test: Week 10 - Question 30
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Read the each sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. The letter of that part is the answer. If there is no error, the answer is 'D'. (Ignore the errors of punctuation, if any).
Detailed Solution for CAT Practice Test: Week 10 - Question 30

was allowed to go near the factory

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