Aptitude and Reasoning Questions

Q:

96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part ?

A) 42 B) 54
C) 46 D) 58
 
Answer & Explanation Answer: A) 42

Explanation:

Let x and y be the two parts of 96.

x/7 = y/9 => x:y = 7:9

=> The smallest part is = 7/16 x 96 = 42.

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Q:

If the diagonals of a rhombus are 24cm and 10cm the area and the perimeter of the rhombus are respectively.

A) 10 B) 11
C) 12 D) 13
 
Answer & Explanation Answer: D) 13

Explanation:

Area = 12*diagonal1*12diagonal2 = 12*24*10 sq.cm  

 

12*daigonal1=12*24=12cm 

 

12*diagonal2=12*10=5cm 


side of a rhombus = (12)² + (5)² = 169      => AB = 13cm

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Q:

Main street high school has 10 members on its football team and 14 members on its science club. 5 members at the school belong to both the football and science teams. How many students belong to only science club team or football team?

A) 9 B) 14
C) 24 D) 21
 
Answer & Explanation Answer: A) 9

Explanation:

Given that,

Members in football team = n(f) = 10

Members in science club = n(s) = 14

Members in both football team and science club = n(f ^ s) = 5

 

Then, Members in only football team = n(F) = 10 - 5 = 5

Members in only science team = n(S) = 14 - 5 = 9

football_science_teams1533013879.jpg image

 

Hence, members in only football or science team = n(FUS) = n(F) + n(S) - n(f^s) 

= 9 + 5 - 5

= 9.

 

Hence, many students belong to only science club team or football team = 9.

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Q:

n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2*n is divided by 4 ?

A) 3 B) 2
C) 1 D) 0
 
Answer & Explanation Answer: B) 2

Explanation:

Let n=4*q + 3. Then, 2*n = 8*q + 6 = 4(2*q + 1) + 2.
Thus when 2*n is divided by 4, the reminder is 2.

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Q:

If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is:

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

Explanation:

A square and a rhombus on the same base are equal in area

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Q:

According to the given Venn diagram, the total number of students in the class is ___.

 

A) 55 B) 56
C) 53 D) 54
 
Answer & Explanation Answer: A) 55

Explanation:
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Q:

Directions : For the Assertion (A) and Reason (R) below, choose the correct alternative 

Assertion (A)  : In India, people elect their own representatives.

 Reason (R)    : India is a democracy.

A) Both A and R are true and R is the correct explanation of A. B) Both A and R are true but R is NOT the correct explanation of A.
C) A is true but R is false. D) A is false but R is true.
 
Answer & Explanation Answer: A) Both A and R are true and R is the correct explanation of A.

Explanation:

India, being a democracy, it is a government run by the representatives elected by its people 

 

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Q:

The area of the circle is 220 sq.m, the area of the square inscribed in a circle will be

A) 49 B) 70
C) 140 D) 150
 
Answer & Explanation Answer: C) 140

Explanation:

area of a square = 12diagonal2

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