Aptitude and Reasoning Questions

Q:

Rohan sells two articles. The cost price of the first article is equal to the selling price of the second article. The first article is sold at a profit of 40% and the second article is sold at a loss of 40%. What is the ratio of the selling price of the first article to the cost price of the second article?

 

A) 21 : 25   B) 25 : 21  
C) 30 : 29   D) 29 : 30
 
Answer & Explanation Answer: A) 21 : 25  

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Q:

If x : y = 1 : 3, then what will be the ratio of (3y2 + 3x2) : (2y2 - 8x2)?

 

A) 4 : 1   B) 2 : 1  
C) 3 : 1   D) 5 : 1
 
Answer & Explanation Answer: C) 3 : 1  

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Q:

The volume of a right circular cone, whose radius of the base is half of its altitude, and the volume of a hemisphere are equal. The ratio of the radius of the cone to the radius of the hemisphere is

A) √2 : 1 B) 1 : 1
C) 2 : 1 D) 1 : √2
 
Answer & Explanation Answer: B) 1 : 1

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Q:

Calculate the ratio of the area of two similar triangles if the sides of the triangles are in the ratio of 9:4.

 

A) 9:4   B) 3:2  
C) 81:16 D) 27:8
 
Answer & Explanation Answer: C) 81:16

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Q:

If the angles of a triangle are in the ratio of 1 : 4 : 7, then find the ratio of the greatest angle to the smallest angle.

A) 7:2 B) 2:3
C) 7:1 D) 3:5
 
Answer & Explanation Answer: C) 7:1

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Q:

Rs. 3105 is due to be divided among K, L and M in the proportion of 2/3 : 3/4 : 1/2 respectively. How much will L get?

A) Rs. 1080 B) Rs. 810
C) Rs. 1215 D) Rs. 970
 
Answer & Explanation Answer: C) Rs. 1215

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Q:

If w : 0.80 :: 9 : 6, w = ?

A) 2.5 B) 1.1
C) 3.3 D) 1.2
 
Answer & Explanation Answer: D) 1.2

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Q:

The True discount on Rs1760 due after a certain time at 12% per annum is Rs160. The time after which it is due is?

A) 15months B) 5months
C) 12months D) 10months
 
Answer & Explanation Answer: D) 10months

Explanation:

P.W = Rs. (1760 - 160) = Rs.1600  

S.I on Rs.1600 at 12% is Rs. 160 

Time = (100 x 160)/(1600 x 12)  = 5/6 years = (5/6) x 12 months = 10 months

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