Quantitative Aptitude - Arithmetic Ability Questions

Q:

Two bus tickets from city K to L and three tickets from city K to M cost Rs. 77,  but three tickets from city K to L and two tickets from city K to M cost Rs. 73. What are the fares for cities L and M from K ?

A) Rs. 13 and Rs. 17 B) Rs. 17 and Rs. 19
C) Rs. 23 and Rs. 17 D) Rs. 13 and Rs. 19
 
Answer & Explanation Answer: A) Rs. 13 and Rs. 17

Explanation:

If fares for cities L and M from K are x and y respectively, then

2x + 3y = 77 or 6x + 9y = 231...(1)
3x + 2y = 73 or 6x + 4y = 146...(2)

subtracting 2 from 1, we get

5y = 85

y = Rs. 17 => x = Rs. 13

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Q:

A man sells two articles. The cost price of the first article is equal to the selling price of the second article. The first article is sold at a profit of 20% and the second articles is sold at a loss of 20%. What is the ratio of the selling price of the first article and the cost price of the second article?

A) 24 : 25 B) 25 : 24
C) 29 : 27 D) 27 : 29
 
Answer & Explanation Answer: A) 24 : 25

Explanation:
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Q:

3 pipes when opened for 3 hours can fill 3 buckets. How many buckets can 2 pipes open for 2 hours approximately fill?

A) 2/3 buckets B) 2 buckets
C) 1 bucket D) 4/3 bucket
 
Answer & Explanation Answer: D) 4/3 bucket

Explanation:

2 pipes open for 2 hours will fill = (2/3) x (2/3) x 3 = 4/3 buckets

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9 3628
Q:

A person sold his pen for Rs 24 and his profit percentage was numerically equal to the cost price. What was the cost price (in Rs) of the pen?

A) 12 B) 14
C) 16 D) 20
 
Answer & Explanation Answer: D) 20

Explanation:
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Q:

B starts 4 minutes after A from the same point, for a place at a distance of 7 miles from the starting point. A on reaching the destination turns back and walks a mile where he meets B. If A's speed is a mile in 8 minutes then B's speed is a mile in ____ minutes.

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

Explanation:
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Q:

Raghu bought an article for Rs. 14,360 and spent Rs. 240 on its transportation. At what amount he has to sell it to get a profit of 15%? (in Rs.)

A) ₹ 16,000 B) ₹ 16,790
C) ₹ 16,150 D) ₹ 16.500
 
Answer & Explanation Answer: B) ₹ 16,790

Explanation:
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Q:

An inspector is 228 meter behind the thief. The inspectorruns 42 meters and the thief runs 30 meters in a minute. Inwhat time will the inspector catch the thief?

A) 19 minutes B) 20 minutes
C) 18 minutes D) 21 minutes
 
Answer & Explanation Answer: A) 19 minutes

Explanation:

Inspector s 228 meter behind the thief and now aftersome x distance he will catch the thief. So
x/30 = 228+x/42 => x = 570 m
(228 + 570) / 42 = 19 min

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Q:

The ages of Sunitha and Pranitha are 40 years and 60 years, respectively. How many years before the ratio of their ages was 3 : 5?

A) 10 years B) 15 years
C) 18 years D) 24 years
 
Answer & Explanation Answer: A) 10 years

Explanation:

Given the ages of Sunitha and Pranitha are 40 years and 60 years.

Let before 'm' years, their ages be in the ratio of 3 : 5

ATQ,

40-m60-m = 35

=> 200 - 5m = 180 - 3m

=>2m = 20

=> m = 10 years.

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