Aptitude and Reasoning Questions

Q:

Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 3 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill  ?

A) 8.21 min B) 8 min
C) 8.57 min D) 8.49 min
 
Answer & Explanation Answer: C) 8.57 min

Explanation:

1/10 + 1/15 = 1/6 x 3 = 1/2

1 - 1/2 = 1/2

1/10 + 1/15 - 1/x = 1/2

x = 8.57 min

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Filed Under: Pipes and Cistern
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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36 15616
Q:

6 men can complete a piece of work in 12 days. 8 women can complete the same piece of work in 18 days whereas 18 children can complete the piece of work in 10 days. 4 men, 12 women and 20 children work together for 2 days. If only men were to complete the remaining work in 1 day how many men would be required totally?

A) 38 B) 72
C) 36 D) 76
 
Answer & Explanation Answer: C) 36

Explanation:

Given 4men, 12 women and 20 children work for  2 days.

Workdone for 2 days by 4men, 12 women and 20 children = 4 x 26 x 12 + 12 x 28 x 18 + 20 x 218 x 10 = 12

Therefore, remaining work = 1 - 12 = 12

To complete the same work by only men in 1 day,

We know that M1 x D1 = M2 x D2

Here M1 = 6 , D1 = 12 and M2 = M , D2 = 1

12 x 6 = M x 1

=> M = 12 x 6 = 72

=> But the remaining work = 1/2

Men required => 1/2 x 72 = 36

Only men required to Complete the remaining work in 1 day = 36.

 

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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20 15601
Q:

The product of three consecutive even numbers when divided by 8 is 720. The product of their square roots is :

A) 12 sqrt(10) B) 24 sqrt(10)
C) 120 D) none of these
 
Answer & Explanation Answer: B) 24 sqrt(10)

Explanation:

Let the numbers be x, x + 2 and X + 4.

Then, x(x + 2)(x +4) / 8 = 720 => x(x + 2)(x +4) = 5760.

√x  *  √(x + 2) * √(x +4) = √x(x +2)(x + 4 ) = √5760  =  24√10.

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Filed Under: Problems on Numbers

19 15596
Q:

Refer the below data table and answer the following question.

What is the ratio of boys to girls ?

 

A) 33 : 28 B) 33 : 34
C) 34 : 33 D) 28 : 33
 
Answer & Explanation Answer: D) 28 : 33

Explanation:
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Filed Under: Table Charts
Exam Prep: Bank Exams

0 15583
Q:

If price of rice increased by 25%, so that a man is can able to purchase 5 kg less rice in Rs. 500. Find the original price of rice per kg ?

A) Rs. 20 B) Rs. 24
C) Rs. 26 D) Rs. 29
 
Answer & Explanation Answer: A) Rs. 20

Explanation:

Let the original price of rice be Rs. x

Let rice a man can buy for Rs. 500 at rs. x/kg be = R kgs

From given data, for Rs. 500

x ---- R kgs

(x + 25x/100) ---- (R - 5) kgs

=> Rx = (R - 5)(x + 25x/100)

=> Rx = (R - 5)(125x/100)

=> 100Rx = 125Rx - 625x

=> R = 25

So at rate of Rs. x/kg, man get 25 kgs for Rs. 500

=> x = 500/25 = Rs. 20

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Filed Under: Percentage
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21 15583
Q:

Who is the father of M ? 

I. A and B are brothers. 

II. Ws wife is sister of M's wife. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question
 
Answer & Explanation Answer: D) If the data even in both the statements together are not sufficient to answer the question

Explanation:

From II, we conclude that B is the brother-in law of M. So, even from both the statements, we can't find out who is the father of M 

 

 

 

 

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Filed Under: Data Sufficiency

5 15583
Q:

Refer the below data table and answer the following question.

Five points are to be deducted from the students average of marks scored because of poor attendance. What will be the students net average marks scored?

A) 39 B) 34
C) 29 D) 44
 
Answer & Explanation Answer: A) 39

Explanation:
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Filed Under: Table Charts
Exam Prep: Bank Exams

0 15572
Q:

Two trains of equal length , running in opposite directions , pass a pole in 18 and 12 seconds. The trains will cross each other in 

A) 14.4 sec B) 15.5 sec
C) 18.8 sec D) 20.2 sec
 
Answer & Explanation Answer: A) 14.4 sec

Explanation:

Let the length of the train be L metres

 

Speed of first train = 360018xL m/hour

 

Speed of secxond train = 360012xL m/hour

 

When running in opposite directions, relative speed = 200 L + 300 L m/hour

 

Distance to be covered = L + L = 2L metre

 

Time taken = 2L500Lx3600 sec

 

                 =14.4 sec

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Filed Under: Problems on Trains
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25 15559