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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The mean of 21 observations (all different) is 40. If each observation greater than the median is increased by 21, then the mean of observations will become:

A) 50 B) 30
C) 50.5 D) 45
 
Answer & Explanation Answer: A) 50

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Exam Prep: AIEEE , Bank Exams , CAT

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Q:

A train travels 20% faster than a car. Both start from point A at the same time and reach point B, 180 km away at the same time. On the way the train takes 30 minutes for stopping at the stations. What is the speed (in km/hr) of the train?

A) 56 B) 66
C) 72 D) 84
 
Answer & Explanation Answer: C) 72

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Exam Prep: Bank Exams

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Q:

A home theatre set is Rs. 4950. If two successive discounts of 20% and 15% are given, then its selling price is

A) Rs.3366 B)  Rs.6633
C)  Rs.3636 D) Rs.6363
 
Answer & Explanation Answer: A) Rs.3366

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

If the ratio of the cost price and the selling price of an article be 4:5, then the percentage of profit is:

A) 27.5 B) 25
C) 15 D) 10
 
Answer & Explanation Answer: B) 25

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Q:

If the cost price of 25 pens is equal to the selling price of 20 pens, then the profit percent is

A) 20% B) 25%
C) 15% D) 5%
 
Answer & Explanation Answer: B) 25%

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Exam Prep: Bank Exams

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Q:

2 sec2A is equal to

A) (1 - tanA)2 - (1 + tanA)2 B) √[(1 - tanA)2 + (1 + tanA)2 ]
C) √[(1 - tanA)2 - (1 + tanA)2] D) (1 - tanA)2 + (1 + tanA)2
 
Answer & Explanation Answer: D) (1 - tanA)2 + (1 + tanA)2

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Filed Under: Simplification
Exam Prep: Bank Exams

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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 xy = 48 and x2 + y2 = 100, then (x + y) is

A) 12 B) 16
C) 18 D) 14
 
Answer & Explanation Answer: D) 14

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