Quantitative Aptitude - Arithmetic Ability Questions

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:

The average marks of 18 students in an examination was 60. It was later found that the marks of one student had been wrongly entered as 63 instead of 36. The correct average is:

A) 59 B) 59.5
C) 58 D) 58.5
 
Answer & Explanation Answer: D) 58.5

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Q:

A carpenter can build a cupboard in 48 hours. After 12 hours he takes a break. What fraction of the cupboard is yet to be built?

A) 0.4 B) 0.5
C) 0.75 D) 0.25
 
Answer & Explanation Answer: C) 0.75

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Q:

After a discount of 23% an article is sold for Rs 1848. What is the marked price (in Rs) of the article?

A) 2150 B) 2275
C) 2350 D) 2400
 
Answer & Explanation Answer: D) 2400

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Q:

The value of(1(p-n)(n-q)+1(n-q)(q-p)+1(q-p)(p-n)) is

A) 1 B) 0
C) p+q+n D) 2np+q
 
Answer & Explanation Answer: B) 0

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Q:

If Rs 7,800 is to be divided between A, B and C in the ratio 1/2 : 1/3 : 1/4, then how much share will B get (in Rs)?

A) 3600 B) 1800
C) 2400 D) 1200
 
Answer & Explanation Answer: C) 2400

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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 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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