Quantitative Aptitude - Arithmetic Ability Questions

Q:

56/32 simplified value?

A) 1.705 B) 1.450
C) 1.75 D) 7.50
 
Answer & Explanation Answer: C) 1.75

Explanation:

56/32 can be reduced as

 

56/32

= 28/16

= 14/8

= 7/4

= 1 3/4

= 1.75

 

Hence, simplified value of 56/32 =  3/4 = 1.75.

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Q:

In each question two equations numbered I and II are given,you haveto solve both the equation and choose the correctanswer.

I. 5x2+ 28x = -15II. 3y2+ 11y + 6 = 0

A) X > Y B) X ≥ Y
C) X < Y D) X ≤ Y
 
Answer & Explanation Answer:

Explanation:

5x^2+ 28x = -15x = (-3/5, -5)

II. 3y^2+ 11y + 6 = 0y = (-3, -2/3)

So Relationship cannot be established

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Q:

A does 60% of a work in 15 days. He then calls B, and they together finish the remaining work in 5 days. How long B alone would take to do the whole work?

A) 25 days B) 20 days
C) 80 days D) 24 days
 
Answer & Explanation Answer: A) 25 days

Explanation:
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Q:

80 litre mixture of milk and water contains 10% milk. How much milk (in litres) must be added to make water percentage in the mixture as 80%?

A) 8 B) 9
C) 10 D) 12
 
Answer & Explanation Answer: C) 10

Explanation:
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Q:

If each median of an equilateral triangle has a length of 12cm. Then what will be the value of in-radius (in cm) of the equilateral triangle?

A) 3 B) 4
C) 5 D) 6
 
Answer & Explanation Answer: B) 4

Explanation:
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Q:

The age of Ravi is twice the age of Prakash and three times the age of Kumar. If the age of Prakash is 24 years, then what will be the age of Kumar after 4 years ?

A) 16 years B) 20 years
C) 24 years D) 22 years
 
Answer & Explanation Answer: B) 20 years

Explanation:
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Q:

If p and q are the roots of the equation x2 –15x + r = 0 and p –q = 1, then what is the value of r ?

A) 55 B) 56
C) 60 D) 64
 
Answer & Explanation Answer: B) 56

Explanation:

In the below equation,

x2–15x + r = 0

sum of roots = p + q = -(-15)/1 = 15 (sum of roots for equation ax2+ bx + c is -b/a)

product of roots = pq = r/1 = r     (product of roots for equation ax2+ bx + c is c/a)

given p –q = 1

also we know that p+q = 15

subtracting the squares of both

(p+q)2 + (p-q)2 = 15^2–1

p2 + q2 + 2pq –p2 –q2 +2pq = 225 -1

4pq = 224

4r = 224

r = 56

 

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Q:

If cosec ­4π/3 = x, then the value of x is

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

Explanation:
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