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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Two students appeared for an examination. One of them secured 24 marks more than the other and his marks were 65% of the sum of their marks. The marks obtained by them are _____

A) 78 and 54 B) 85 and 61
C) 67 and 43 D) 52 and 28
 
Answer & Explanation Answer: D) 52 and 28

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, the length of the train is

A) 90 m B) 100 m
C) 120 m D) 140 m
 
Answer & Explanation Answer: C) 120 m

Explanation:

Speed of the train = 12000 / 10*60 = 20 m/s

Length of the train = Speed X time = 20 X 6 = 120m

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Filed Under: Problems on Trains
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Q:

Train A takes 1 hour more than train B to travel a distance of 720 km. Due to engine trouble speed of train B falls by a third, so it takes 3 hours more than Train A to complete the same journey? What is the speed of Train A (in km/hr)?

A) 80 B) 90
C) 60 D) 70
 
Answer & Explanation Answer: A) 80

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Q:

The present population of a town is 26010. It increases annually at the rate of 2%. What was the population of town 2 years ago?

A) 25000 B) 25100
C) 25200 D) 25500
 
Answer & Explanation Answer: A) 25000

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Q:

A man spend 7.5% of his money and after spending 75% of the remaining, he had Rs. 370 left. How much money did he have

A) 1200 B) 1600
C) 1500 D) 1400
 
Answer & Explanation Answer: B) 1600

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Q:

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.

A) 10 & 12 B) 10 & 18
C) 12 & -18 D) -12 & 18
 
Answer & Explanation Answer: D) -12 & 18

Explanation:

Given, difference of the squares of two numbers is 180.

= k2 - l2 - 180

 

Also, square of the smaller number is 8 times the larger.

= l2 = 8k

 

Thus, k2 - 8a - 180 = 0

k2 – 18k + 10k - 180 = 0

→  k(k - 18) + 10(k – 18) = 0

= (k + 10)(k – 18) = 0

→  k = -10, 18

 

Thus, the other number is

324 - 180 = l2 

 

→ Numbers are 12, 18 or -12, 18.

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Filed Under: Numbers
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Q:

Raheem sells a machine for Rs 48 lakhs at a loss. Had he sold it for Rs 60 lakh, his gain would have been 5 times the former loss. Find the cost price of the machine.

A) Rs 58 lakhs B) Rs 69.6 lakhs
C) Rs 42 lakhs D) Rs 50 lakhs
 
Answer & Explanation Answer: D) Rs 50 lakhs

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Q:

Loss of 20% on selling price is equal to x% loss in cost price. What is x?

A) 20% B) 20
C) 16 2/3% D) 16
 
Answer & Explanation Answer: C) 16 2/3%

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Filed Under: Profit and Loss
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