CAT Questions

Q:

A,B,C together can do a piece of work in 10 days.All the three started workingat it together and after 4 days,A left.Then,B and C together completed the work in 10 more days.In how many days can complete a work alone ?

A) 25 B) 24
C) 23 D) 21
 
Answer & Explanation Answer: A) 25

Explanation:

(A+B+C) do 1 work in 10 days.

So (A+B+C)'s 1 day work=1/10 and as they work together for 4 days so workdone by them in 4 days=4/10=2/5


Remaining work=1-2/5=3/5

 

(B+C) take 10 more days to complete 3/5 work. So( B+C)'s 1 day work=3/50


Now A'S 1 day work=(A+B+C)'s 1 day work - (B+C)'s 1 day work=1/10-3/50=1/25

A does 1/25 work in in 1 day

Therefore 1 work in 25 days.

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Filed Under: Time and Work
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125 51040
Q:

Rearrange the parts of the sentence in correct order.


Today, however, when one in four rural Indians

P-in identifying the poor are far greater
Q-is poor, our chances of being wrong
R-and one in six urban Indians

A) PRQ B) RQP
C) QRP D) QPR
 
Answer & Explanation Answer: B) RQP

Explanation:
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Filed Under: English
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0 50846
Q:

26 january 1950 which day of the week?

A) Monday B) Wednesday
C) Thursday D) Tuesday
 
Answer & Explanation Answer: C) Thursday

Explanation:

We know that,

Odd days --> days more than complete weeks

Number of odd days in 400/800/1200/1600/2000 years are 0.

Hence, the number of odd days in first 1600 years are 0.

Number of odd days in 300 years = 1

Number of odd days in 49 years = (12 x 2 + 37 x 1) = 61 days = 5 odd days

Total number of odd days in 1949 years = 1 + 5 = 6 odd days

Now look at the year 1950

Jan 26 = 26 days = 3 weeks + 5 days = 5 odd days

Total number of odd days = 6 + 5 = 11 => 4 odd days

 

Odd days :-

0 = sunday ;

1 = monday ;

2 = tuesday ;

3 = wednesday ;

4 = thursday ;

5 = friday ;

6 = saturday

 

Therefore, Jan 26th 1950 was Thursday.

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Filed Under: Calendar
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207 50762
Q:

The first Law Officer of the Government of India is the

A) Union Law Minister B) Secreatary, Ministry of Law
C) Attorney-General for India D) Chief Justice of the Supreme Court
 
Answer & Explanation Answer: C) Attorney-General for India

Explanation:

Attorney-General for India is the  first Law Officer of the Government of India. He is is the Indian government's chief legal advisor, and its primary lawyer in the Supreme Court of India.

 

The_first_Law_Officer_of_the_Government_of_India_is_the1554210162.jpg image

 

The Solicitor General of India is below the Attorney General for India, who is the secondary law officer of the country, assists the Attorney General, and is himself assisted by several Additional Solicitors General of India.

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Filed Under: Indian Politics
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166 50652
Q:

6 : 18 :: 4 : ?

A) 14 B) 6
C) 16 D) 8
 
Answer & Explanation Answer: D) 8

Explanation:

Here the given number analogy follows two patterns that,

18 --> 6 x 3

4

12 --> 4 x 3

 

OR

6

18 ----> 6x6/2 = 18

4

8 ----> 4x4/2 = 8

 

As 12 is not available in the options, 8 is correct answer.

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Filed Under: Analogy
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200 50629
Q:

Find the next number in the given series ?


3, 7, 6, 5, 9, 3, 12, 1, 15, . . .

A) 2 B) 0
C) 1 D) -1
 
Answer & Explanation Answer: D) -1

Explanation:

3, 7, 6, 5, 9, 3, 12, 1, 15, ... has two different series

1) 3, 6, 9, 12, 15.....

2) 7, 5, 3, 1, .....

-1 is the next number.

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Filed Under: Odd Man Out
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3 50416
Q:

Find the odd one out of the series ?

35, 48, 54, 63, 81, 105

A) 63 B) 48
C) 35 D) 81
 
Answer & Explanation Answer: C) 35

Explanation:

48, 54, 63, 81 and 105 are divisible by 3 but not 35.

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12 50367
Q:

Read both the statements given below and answer the question.

Q : Which train did Harish catch to go to office ?

Statements :

A. Harish missed his usual train of 4.15 p.m. A train comes in every 15 minutes.

B. Harish did not catch the 4.45 p.m. train or any train after that time.

A) If statement B alone is sufficient but statement A alone is not sufficient. B) If statement A alone is sufficient but statement B alone is not sufficient.
C) If both statement together are sufficient, but neither statement alone is sufficient. D) If statement A and B together are not sufficient.
 
Answer & Explanation Answer: D) If statement A and B together are not sufficient.

Explanation:

From both statements we cannot conclude the train catched by Harish

Since he missed at 4.15 and train coes at 4.30, 4.45, 5.00,...

But in B given that he didn't catch the train at 4.45 and after that.

So both statements A & B together are not sufficient to answer the question.

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Filed Under: Statement and Conclusions
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3 50183