Aptitude and Reasoning Questions

Q:

Two trains, one from Hyderabd to Bangalore and the other from Bangalore to Hyderabad, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is  ?

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

Explanation:

Let us name the trains as A and B.

Then, (A's speed) : (B's speed)

= √b : √a = √16 : √9 = 4:3

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Filed Under: Problems on Trains
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Q:

Refer the below data table and answer the following question.

If the imports in 2012 was Rs. 1100 crores and the total exports in the years 2012 and 2013 together was Rs. 6000 crores, then the imports in 2013 was ?

 

A) 1571 B) 4429
C) 5314 D) 3690
 
Answer & Explanation Answer: C) 5314

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

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Q:

A runs 123 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?

A) 200 m B) 300m
C) 270m D) 160m
 
Answer & Explanation Answer: A) 200 m

Explanation:

Ratio of the speeds of A and B =5 : 1 = 5 :3

 

Thus, in race of 5 m, A gains 2 m over B.

 

2 m are gained by A in a race of 5 m.

 

80 m will be gained by A in race of 52*80 m =200m

 

=> Winning post is 200 m away from the starting point.

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Filed Under: Races and Games

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Q:

A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?

A) 48 B) 12
C) 36 D) 60
 
Answer & Explanation Answer: A) 48

Explanation:

If you double the sides of a cube, the ratio of the surface areas of the old and new cubes will be 1: 4. The ratio of the volumes of the old and new cubes will be 1: 8.

Weight is proportional to volume. So, If the first weighs 6 pounds, the second weighs 6x8 pounds =48.

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Filed Under: Ratios and Proportions
Exam Prep: GRE

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Q:

A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D ?

A) 0.75D B) 0.76D
C) 0.765D D) None of the above
 
Answer & Explanation Answer: C) 0.765D

Explanation:

If the price is reduced by 15 %, then the new price will be 0.85D

If this new price is further reduced by 10%, the discounted price will be 0.9 x 0.85D = 0.765D

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Filed Under: Percentage
Exam Prep: GRE

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Q:

How is my father's brother's only sibling's mother related to my sister's only brother ?

A) Neice B) Aunt
C) Mother D) Grand-mother
 
Answer & Explanation Answer: D) Grand-mother

Explanation:

My father's brother's only sibling is my father. My father's mother is my grandmother. My sister's only brother is myself. So she is my Grandmother.

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Filed Under: Blood Relations
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Q:

Square units 13 by 9 of an office area is

A) 97 B) 117
C) 107 D) 127
 
Answer & Explanation Answer: B) 117

Explanation:

Square units 13 by 9 of an office means office of length 13 units and breadth 9 units.

 

Now its area is 13x 9 = 117 square units or units square.

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Filed Under: Area
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Q:

One fill pipe A is 3 times faster than second fill pipe B and takes 32 minutes less than the fill pipe B. When will the cistern be full if both pipes are opened together?

A) 6 min B) 8 min
C) 12 min D) 10 min
 
Answer & Explanation Answer: C) 12 min

Explanation:

Let pipe A takes p min to fill

Then,

pipe B takes 3p min to fill

=> 3p - p = 32

=> p = 16 min => 3p = 48 min

 

Required, both pipes to fill = (48 x 16)/(48 + 16) min = 12 min.

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Filed Under: Pipes and Cistern
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