Quantitative Aptitude - Arithmetic Ability Questions

Q:

25% discount is offered on an item. By applying a promo code the customer wins 4% cash back. What is the effective discount?

A) 28 percent B) 29.12 percent
C) 29 percent D) 5 percent
 
Answer & Explanation Answer: A) 28 percent

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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

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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:

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

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Q:

What is the average of first 19 odd numbers?

A) 9.5 B) 15.5
C) 19 D) 38
 
Answer & Explanation Answer: C) 19

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Q:

What would be the smaller of the two angles formed by the hour hand and the minute hand at 3:47 p.m?

A) 168.5 deg B) 162 deg
C) 166.5 deg D) 165 deg
 
Answer & Explanation Answer: A) 168.5 deg

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Q:

If a-1a=7,then a2+1a2=?

A) 54 B) 51
C) 53 D) 52
 
Answer & Explanation Answer: B) 51

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Q:

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

A) 75 days B) 37.5 days
C) 17.5 days D) 35 days
 
Answer & Explanation Answer: B) 37.5 days

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