Aptitude and Reasoning Questions

Q:

Find the probability of selecting exactly 2 children when four persons are choosen at random from a group of 3 men, 2 woman and 4 children.

A) 9/29 B) 10/21
C) 12/21 D) 14/19
 
Answer & Explanation Answer: B) 10/21

Explanation:

4 persons can be selected from 9 in 9C4 ways =126

 

Fvaourable events =4C2*5C2 =60

 

So,required probability = 60/126 = 10/21

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Filed Under: Probability

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Q:

Consider the argument and decide which of the given assumptions is/are implicit.

 

Argument :

 

The Supreme Court has decided that all rapists will be hanged till death.

 

Assumptions :

 

1. Women will get protection.

2. The number of rapes cases can be reduced.

 

A) Only assumption 2 is implicit B) Neither 1 nor 2 is implicit
C) Both 1 and 2 are implicit D) Only assumption 1 is implicit
 
Answer & Explanation Answer: A) Only assumption 2 is implicit

Explanation:
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Filed Under: Statement and Conclusions
Exam Prep: Bank Exams

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Q:

Application of Inverse Proportion

If 20 persons can do a piece of work in 7 days then calculate the number of persons require to complete the work in 28 days

Answer

Number of persons * days = work  


20 * 7 = 140 man- days 


 


Now,  x * 28  = 140 men- days


=> x =5         


Therefore in second case the required number of person is 5.


 


Second method:


Since work is constant, therefore  M1 x D1= M2 x D2


20 x 7 = M2 x 28


=> M2 = 5 


 

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Subject: Time and Work

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Q:

If [P @ Q] means [P is wife of Q], [P+Q] means [P is father of Q] and [P - Q] means [P is sister of Q] then in [G+ H - R @ D], how is G related to D ?

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

Explanation:

"G is father in law of D"
G+H means G is father of H
H is either son or daughter of G
H-R means H is sister of R
R@D means R is wife of D
so H and R are sisters
and daughters of G
so husband of R i.e. D is son in law of G
or G is father in law of D

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Filed Under: Blood Relations
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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4 4759
Q:

The length, breadth and height of a room are in the ratio 7:3:1. If the breadth and height are doubled while the length is halved, then by what percent the total area of the 4 walls of the room will be increased  ?

A) 90% B) 88%
C) 85% D) 84%
 
Answer & Explanation Answer: A) 90%

Explanation:

Let length, breadth and height of the room be 7, 3, 1 unit respectively.

Area of walls = 2(l+b)xh = 2(7+3)x1 = 20 sq. unit.

Now, length, breadth and height of room will become 3.5, 6 and 2 respectively. 

Area of walls = 2(l+b)xh = 2(3.5+6)x2 = 38 sq. unit. 

% Increase in the area of walls = (38-20)x100/20 = 90%.

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Filed Under: Area
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15 4758
Q:

Study the following table carefully and answer the questions based on it.

 

The following table shows the domestic sales of cars of five manufacturers from 2005 to 2010.
(All the figures are in thousands)

 

 

With respect to which of the following combinations, is the sales of cars the highest over the given period?

A) L, 2009 B) L, 2010
C) L, 2008 D) O, 2008
 
Answer & Explanation Answer: A) L, 2009

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

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Q:

In a daily morning walk three persons step off together. their steps measure 75 cm, 80 cm and 85 cm respectively. What is the minimum distance each should walk so that thay can cover the distance in complete steps  ?

A) 222 m 44 cm B) 204 m
C) 201 m 21 cm D) 208 m
 
Answer & Explanation Answer: B) 204 m

Explanation:

To find the minimum distance, we have to get the LCM of 75, 80, 85

Now, LCM of 75, 80, 85 = 5 x 15 x 16 x 17 = 20400

Hence, the minimum distance each should walk so that thay can cover the distance in complete steps = 20400 cms = 20400/100 = 204 mts.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

Find value of log27 +log 8 +log1000log 120

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

Explanation:

 = log 33 + log 23+ log 103log10×3×22 

 

 

 

=log33 12+log 23+log 10312log(10×3×22)  

 

 

 

 

 

 

 

=12log 33+3 log 2+12 log103log10+log3+log22  

 

 

 

 

 

 

 

=32log 3 + 2 log 2 + log 10log 3 + 2 log 2 + log 10 = 32  

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Filed Under: Logarithms
Exam Prep: CAT , Bank Exams , AIEEE
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