Aptitude and Reasoning Questions

Q:

A train travelling at a speed of 75 mph enters a tunnel 312miles long. The train is 14mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?

A) 2.5 min B) 3 min
C) 3.2 min D) 3.5 min
 
Answer & Explanation Answer: B) 3 min

Explanation:

Total distance covered =72+14miles =154miles  

Time taken = 154*75hrs = 120 hrs =120*60min = 3 min

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Filed Under: Problems on Trains

36 28423
Q:

Three numbers are in the ratio 4 : 5 : 6 and their average is 25. The largest number is :

A) 30 B) 40
C) 50 D) 60
 
Answer & Explanation Answer: A) 30

Explanation:

Let the numbers be 4x, 5x and 6x, Then, (4x + 5x + 6x ) / 3 = 25  

=> 5x = 25

=> x = 5. 

Largest number  6x = 30.

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Filed Under: Problems on Numbers

39 28392
Q:

A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest?

A) 3.46% B) 4.5%
C) 5% D) 6%
 
Answer & Explanation Answer: A) 3.46%

Explanation:

Let the original rate be R%. Then, new rate = (2R)%.

 

Note: Here, original rate is for 1 year(s); the new rate is for only 4 months i.e.1/3 year(s).

 725*R*1100+362.50*2R*1100*3=33.50

 

=> (2175 + 725) R = 33.50 x 100 x 3

 

=>  (2175 + 725) R = 10050

 

=>  (2900)R = 10050

 

 => R=100502900=3.46

 

Original rate = 3.46%

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Filed Under: Simple Interest
Exam Prep: GRE

37 28358
Q:

X introduces Y saying, "He is the husband of the granddaughter of the father of my father ". How is Y related to X?

A) Brother B) Brother-in-law
C) Son D) Son-in-law
 
Answer & Explanation Answer: B) Brother-in-law

Explanation:

Father's father ---->Grandfather;  Grandfather's granddaughter -----> Sister; Sister's husband ---->Brother-in-law. So, Y is X's Brother-in-law.

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Filed Under: Blood Relations

66 28354
Q:

If goods be purchased for Rs.450 and 1/3 is sold at a loss of 10%. At what gain % should the remainder is sold to has to gain 20% on the whole transaction?

A) 35% B) 28%
C) 22% D) 19%
 
Answer & Explanation Answer: A) 35%

Explanation:

Given the cost price of the articles = Rs. 450

To get overall 20% gain,

Total Selling Price = (20/100) x 450 = 540


One third of the CP = 1/3 x 450 = Rs. 150

But given 1/3 of articles are sold at 10% loss

S.P of 1/3 of articles = 90% of 150

= 90 x 150/100 = 135

 

Then, S.P on remaining 2/3 goods must be

= 450 - 135 = 405 ...........(1)

CP on remaining goods

= 2/3 x 450 = 300 ............(2)


Profit = SP - CP = 405 - 300 = 105


Profit %  = (105/300) x 100

= 35%.

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

45 28351
Q:

The following equation is incorrect. Which two signs should be interchanged to correct the equation?

 

12 - 16 x 25 ÷ 80 + 10 = 7

 

A) ÷ and x B) - and +
C) x and - D) ÷ and -
 
Answer & Explanation Answer: B) - and +

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

3 28342
Q:

In the following question, select the missing number from the given series.

 

87, 62, 42, 27, 17, ?

 

A) 7   B) 12  
C) 8   D) 10
 
Answer & Explanation Answer: B) 12  

Explanation:
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Filed Under: Number Series
Exam Prep: Bank Exams

4 28335
Q:

A and B together can do a piece of work in 40 days. A having worked for 20 days, B finishes the remaining work alone in 60 days. In How many days shall B finish the  whole work alone?

A) 60 B) 70
C) 80 D) 90
 
Answer & Explanation Answer: C) 80

Explanation:

Let A's 1 day's work=x and B's 1 day's work=y

Then x+y = 1/40 and 20x+60y=1 

Solving these two equations , we get : x= 1/80 and y= 1/80

Therefore B's  1 day work = 1/80

Hence,B alone shall finish the whole work in 80 days

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Filed Under: Time and Work

34 28333