Aptitude and Reasoning Questions

Q:

The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 kmph. Then find the speed of faster train  ?

A) 68 kmph B) 52 kmph
C) 76 kmph D) 50 kmph
 
Answer & Explanation Answer: A) 68 kmph

Explanation:

Let the speed of the faster train be 'X' kmph,
Then their relative speed= X - 48 kmph
To cross slower train by faster train,
Distance need to be cover = (400 + 600)m = 1 km. and
Time required = 180 sec = 180/3600 hr = 1/20 hr.
Time = Distance/Speed
=> 1/20 = 1/(x-48)
X = 68 kmph

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Filed Under: Problems on Trains
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Q:

There is a cylinder circumscribing the hemisphere such that their bases are common. Find the ratio of their volumes

A) 3/2 B) 5/2
C) 7/2 D) 9/2
 
Answer & Explanation Answer: A) 3/2

Explanation:

R =OA = OB = Radius of hemisphere.
= Radius of cylinder ABCD.
Height of the cylinder = BC = radius

 

Volume of cylinder/Volume of hemisphere = πr323πr3

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Filed Under: Volume and Surface Area
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16 12635
Q:

Two numbers are respectively 40% and 30% more than a third number. The second number expressed in terms of percentage of the first is ?

A) 92.8% B) 84.23%
C) 87.14% D) 94.1%
 
Answer & Explanation Answer: A) 92.8%

Explanation:

Here, x = 40 and y = 30;
Therefore second number
= [[100+y100+x] x 100 ]% of first number
= [[100+y100+x] x 100 ]% of first number
Second number = 92.8% of the first number.

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Filed Under: Percentage
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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Q:

A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow ?

A) 3/17 B) 4/21
C) 2/21 D) 5/17
 
Answer & Explanation Answer: C) 2/21

Explanation:

Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.

 

Probability that both marbles are blue = ³C₂/¹⁵C₂ = (3 x 2)/(15 x 14) = 1/35

Probability that both are yellow = ²C₂/¹⁵C₂ = (2 x 1)/(15 x 14) = 1/105

Probability that one blue and other is yellow = (³C₁ x ²C₁)/¹⁵C₂ = (2 x 3 x 2)/(15 x 14) = 2/35

 

Required probability = 1/35 + 1/105 + 2/35 = 3/35 + 1/105 = 1/35(3 + 1/3) = 10/(3 x 35) = 2/21

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Filed Under: Permutations and Combinations
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Q:

Race : Fatigue :: Fast : ?

A) Weakness B) Hunger
C) Appetite D) Food
 
Answer & Explanation Answer: B) Hunger

Explanation:

First causes the second. Here Race causes Fatigue and similarly, Fast causes Hunger.

 

Hence, Race : Fatigue :: Fast : Hunger.

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Filed Under: Analogy
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Q:

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

Animal, Tiger, Vehicle, Car

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

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

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Q:

Should judiciary be independent of the executive? 

Arguments:

1. Yes. This would help curb the unlawful activities of the executive

2. No. The executive would not be able to take bold measures

A) Only 1 is true B) Only 2 is true
C) Either 1 or 2 is true D) Neither 1 nor 2 is true
 
Answer & Explanation Answer: A) Only 1 is true

Explanation:

Clearly, independent  judiciary is necessary for impartial judgements so that the executive does'nt take wrong measures.So only argument 1 holds

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Q:

Refer the below data table and answer the following question.

Cotton was what percent of total exports?

 

A) 23.45 percent B) 20.95 percent
C) 25.95 percent D) 18.45 percent
 
Answer & Explanation Answer: B) 20.95 percent

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

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