Quantitative Aptitude - Arithmetic Ability Questions

Q:

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is ?

A) 45 kmph B) 25 kmph
C) 30 kmph D) 50 kmph
 
Answer & Explanation Answer: D) 50 kmph

Explanation:

Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec.
[(25/2) x (18/5)] km/hr = 45 km/hr.
Let the speed of the train be 'S' km/hr.
Then, relative speed = (S - 5) km/hr.
S - 5 = 45 => S = 50 km/hr.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

49 45233
Q:

10 years ago, the average age of a family of 4 members was 24 years. Two children having been born (with age diference of 2 years), the present average age of the family is the same. The present age of the youngest child is :

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

Explanation:

Total age of 4 members, 10 years ago = (24 x 4) years = 96 years.

 

Total age of 4 members now = [96 + (10 x 4)] years = 136 years.

 

Total age of 6 members now = (24 x 6) years = 144 years.

 

Sum of the ages of 2 children = (144 - 136) years = 8 years.

 

Let the age of the younger child be x years.

 

Then, age of the elder child = (x+2) years.

 

So, x+(x+2) =8 <=> x=3

 

Age of younger child  =  3 years.

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Filed Under: Average

132 45182
Q:

If the product 4864*9 P 2 is divisible by 12, the value of p:

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

Explanation:

Clearly 4864 is divisible by 4
So, 9 P 2 must be divisible by 3. So (9+P+2) must be divisible by 3.
So P=1.

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Filed Under: Numbers

77 45181
Q:

In the following question, select the odd letter/letters from the given alternatives.

 

A) CDFI B) HIKN
C) JKMP   D) LMPS
 
Answer & Explanation Answer: D) LMPS

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

1 44957
Q:

Who is the Chief Election commissioner of India who took charge in January 2018

 

A) Subramanian Swamy B) Ranjit Kumar
C) Om Prakash Rawat D) Raghuram Rajan
 
Answer & Explanation Answer: C) Om Prakash Rawat

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 44900
Q:

Consider the figure shown below and choose the correct option for the ratio of PA:PB.

 

A) r1 : r2 (internal) B) r1 : r2 (external)
C) r2 : r1 (internal) D) r2 : r1 (external)
 
Answer & Explanation Answer: B) r1 : r2 (external)

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

2 44872
Q:

A certain number of men can finish a piece of work in 100 days. If there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?

A) 75 B) 82
C) 100 D) 110
 
Answer & Explanation Answer: D) 110

Explanation:

Originally let there be x men.

Less men, More days     (Indirect Proportion)

 Therefore, (x-10) : x  :: 100 :110

=> (x - 10) * 110 = x * 100    => x= 110

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Filed Under: Chain Rule

97 44837
Q:

In what proportion water must be added to spirit to gain 20% by selling it at the cost price ?

Answer

Let the C.P of spirit be = Rs.10 per litre


Then S.P l litre of the mixture = Rs. 11


Profit = 20%


 


Therefore, C.P of the mixture = Rs. 100120×10 = Rs. 25/3 per litre


 



 Therefore, Ratio of water and spirit = 1 : 5

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189 44837