Quantitative Aptitude - Arithmetic Ability Questions

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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Filed Under: Ratios and Proportions
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Q:

If 2x -­ 3 ≤ 5 + x and 5 -­ x < 1 + 5x; then x can take which of the following values?

A) -1 B) 1
C) 9 D) -9
 
Answer & Explanation Answer: B) 1

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Filed Under: Simplification
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Q:

If 9x = 24311, then what is the value of x?

A) 5/11 B) 5/22
C) 5/7 D) 5/33
 
Answer & Explanation Answer: B) 5/22

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Q:

If 1 = 2, 3 = 6, 4 = 8, and + = -, what would be the value of 41 + 34 + 13 = ?

A) -88 B) 88
C) 12 D) -12
 
Answer & Explanation Answer: D) -12

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Filed Under: Simplification
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Q:

Three sides of a triangle are 5 cm, 9 cm and x cm. The minimum integral value of x is

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

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Q:

What is the simplified value of 1cosec A + cot A2 ?

A) sec A + tan A B) (1 – cos A)/(1 + cos A)
C) (1 – cosec A)/(1 + cosec A) D) sin A
 
Answer & Explanation Answer: B) (1 – cos A)/(1 + cos A)

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Q:

The tangents drawn at points A and B of a circle with centre O, meet at P. If ∠AOB = 120° and AP = 6 cm, then what is the area of triangle (in cm2) APB?

A) 6√3 B) 8√3
C) 9 D) 9√3
 
Answer & Explanation Answer: D) 9√3

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Filed Under: Volume and Surface Area
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Q:

The ratio of total surface area and volume of a sphere is 1 : 7. This sphere is melted to form small spheres of equal size. The radius of each small sphere is 1/6th the radius of the large sphere. What is the sum (in cm2) of curved surface areas of all small spheres?

A) 31276 B) 36194
C) 25182 D) 33264
 
Answer & Explanation Answer: D) 33264

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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