Aptitude and Reasoning Questions

Q:

A train with 120 wagons crosses Arun who is going in the same direction, in 36 seconds. It travels for half an hour from the time it starts overtaking the Arun ( he is riding on the horse) before it starts overtaking the Sriram( who is also riding on his horse) coming from the opposite direction in 24 seconds. In how much time (in seconds) after the train has crossed the Sriram do the Arun meets to Sriram?

A) 3560 sec B) 3600 sec
C) 3576 sec D) can't be determined
 
Answer & Explanation Answer: C) 3576 sec

Explanation:

Let the length of the train be L metres and speeds of the train Arun and Sriram be R, A and S respectively, then 

       LR-A=36 ---------- (i) 

and LR+K=24 ---------(ii)

 

From eq.(i) and (ii)

              3(R - A ) = 2 (R + K) 

  R = 3A + 2K 

 

In 30 minutes (i.e 1800 seconds), the train covers 1800R (distance) but the Arun also covers 1800 A (distance) in the same time. Therefore distance between Arun and Sriram, when the train has just crossed Sriram

               = 1800 ( R - A) - 24 ( A + K)

 

 Time required = 1800(R-A)-24(A+K)(A+K)

 

= (3600 - 24) = 3576 s                            

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Filed Under: Time and Distance

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Q:

Study the diagram given below and answer the questions based on it.

 

 represents Persons who like Reading

 represents Persons who like Cycling 

 represents Persons who like Trekking

 


How many persons like reading?

A) 170 B) 154
C) 176 D) 117
 
Answer & Explanation Answer: A) 170

Explanation:
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Filed Under: Logical Venn Diagram
Exam Prep: Bank Exams

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Q:

8 years ago there were 5 members in the Arthur's family and then the average age of the family  was 36 years. Mean while Arthur got married and gave birth to a child. Still the average age of his family is same now. What is the age of his wife at the time of his child's birth was.If the difference between the age of her  child and herself was 26 years.

A) 25 years B) 26 years
C) 20 years D) can't be determined
 
Answer & Explanation Answer: B) 26 years

Explanation:

Since we know that the difference b/w the age of any two persons remains always constant, while the ratio of their ages gets changed as the time changes.

 

so, if the age of his child be x (presently)

 

Then the age of  wife be x + 26 (presently)

 

Thus the total age = x + ( x + 26) = 32  [252-220 =32]

=> x = 3

Therefore, The age of her child is 3 years and her self  is 29 years. Hence her age at the time of the birth of her child was 26 years.

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Filed Under: Average

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Q:

The perimeter of a square is 40 meters. Find the length of one side of the square

A) 10m B) 20m
C) 30m D) 40m
 
Answer & Explanation Answer: A) 10m

Explanation:

P = 4 x s

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Filed Under: Area
Exam Prep: Bank Exams
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Q:

A bag contains 7 green and 5 black balls. Three balls are drawn one after the other. The probability of all three balls being green, if the balls drawn are not replaced will be:

A) 123/897 B) 23/67
C) 7/44 D) 12/45
 
Answer & Explanation Answer: C) 7/44

Explanation:

Here, n(E) = 7C1×5C1×5C1

 

And,  n(S) = 12C1*11C1*10C1

P(S) = 7*6*512*11*10 = 7/44

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Filed Under: Probability

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Q:

A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio:

A) 3:5 B) 2:1
C) 16:15 D) 4:5
 
Answer & Explanation Answer: C) 16:15

Explanation:

For an income of Re. 1 in 9% stock at 96, investment = Rs. 96/9 = Rs.32/3

For an income Re. 1 in 12% stock at 120, investment = Rs. 120/12 = Rs. 10.

Ratio of investments =(32/3) : 10 = 32 : 30 = 16 : 15.

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Filed Under: Stocks and Shares

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Q:

16 men and 12 women can complete a work in 20 days. 18 women can complete the same work in 40 days. In how many days will 12 men 27 women complete the same work?

A) 16 days B) 18 days
C) 19 days D) 21 days
 
Answer & Explanation Answer: A) 16 days

Explanation:

(16M + 12W) x 20 = 18W x 40

=> 2M = 3W

Then,
Convert all men into women

12M + 27W = 27 + 12 x 3/2W = 45W

Let number of days required be 'D'

=> 18 x 40 = 45 x D

=> D = 16 days.

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Filed Under: Time and Work
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Q:

Identify the diagram that best represents the relationship among the given classes.

College, University, Students

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: D) 4

Explanation:
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Filed Under: Logical Venn Diagram
Exam Prep: Bank Exams

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