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 Quantitative Aptitude - Arithmetic Ability Questions

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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:

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 a = √2 + 1, b = √2 - 1 then the value of 1a+1+1b+1 ?

A) 0 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: B) 1

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Q:

A batsman scores 87 runs in the 21st match of his career. His average runs per match increases by 2. What was his average before the 21st match.

A) 45 B) 46
C) 44 D) 43
 
Answer & Explanation Answer: A) 45

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Q:

If A's salary is 40% less than that of B, then how much percent is B's salary more than that of A?

A) 33 1⁄3 B) 66 2⁄3
C) 33 2⁄3 D) 66 1⁄3
 
Answer & Explanation Answer: B) 66 2⁄3

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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:

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:

∆PQR is right angled at Q. If sinP = 12/13, then what is the value of tanR?

A) 5/13 B) 13/5
C) 13/12 D) 5/12
 
Answer & Explanation Answer: D) 5/12

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