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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The inradius of a equilateral triangle is 10 cm. What is the circum-radius (in cm) of the same triangle?

A) 5 B) 10√3
C) 20 D) 20√3
 
Answer & Explanation Answer: C) 20

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Q:

Two equal circles intersect so that their centres, and the points at which they intersect form a square of side 1 cm. The area (in sq.cm) of the portion that is common to the circles is

A) π4 B) π2-1
C) π5 D) √2 - 1
 
Answer & Explanation Answer: B) π2-1

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Q:

Which one is the largest among the fractions (5/113), (7/120), (13/145) and (17/160)?

A) 5/113 B) 7/120
C) 13/145 D) 17/160
 
Answer & Explanation Answer: D) 17/160

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Q:

While selling a watch, a shop-­keeper gives a discount of 5%. If he gives a discount of 7%, he earns Rs.15 less as profit. The marked price of the watch is

A) 697.5 B) 712.5
C) 750 D) None of the these
 
Answer & Explanation Answer: C) 750

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Q:

If cosπ/4c - tanπ/4c = x, then x is

A) (√3+4)/2√3 B) (2√2-1)/2
C) (1-√2)/√2 D) 5/√3
 
Answer & Explanation Answer: C) (1-√2)/√2

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Q:

What should be added to 5(2x-y) to obtain 4(2x - 3y) + 5(x + 4y)?

A) 3x - 13y B) 3x + 13y
C) 13x - 3y D) 13x + 3y
 
Answer & Explanation Answer: B) 3x + 13y

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Q:

For which value of ‘g’ the linear graph of 6x + 12y +9 = 0 and 2x + gy + 3 =0 has infinite number of solutions?

A) 3 B) 4
C) 6 D) 9
 
Answer & Explanation Answer: B) 4

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Q:

Three consecutive integers form the lengths of a right-angled triangle. How many sets of such three consecutive integers is/are possible?

A) Only one B) Only two
C) Only three D) Infinitely many
 
Answer & Explanation Answer: A) Only one

Explanation:

let n-1, n, n+1 be 3 consecutive integers

So

(n+1)^2= n^2+ (n-1)^2

(n+1)^2-(n-1)^2= n^2

4n = n^2

So n = 0 or n = 4

n can’t be 0 as n-1 will be negative then

So 3,4 and 5 is the only triplet formed.

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Filed Under: Volume and Surface Area
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