Quantitative Aptitude - Arithmetic Ability Questions

Q:

Find the fourth proportional to 2, 3, 6.

A) 9 B) 10
C) 7 D) 8
 
Answer & Explanation Answer: A) 9

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Filed Under: Ratios and Proportions
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Q:

A student multiplied a number by 6/13 instead of 13/6. What is the percentage error in the calculation?

A) 369.44 percent B) 39.35 percent
C) 184.72 percent D) 78.7 percent
 
Answer & Explanation Answer: D) 78.7 percent

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Filed Under: Percentage
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Q:

Karan purchased one dozen pens for Rs. 120 and sold a pack of 3 pens for Rs.35 each. What is his gain?

A) 16.67% B) 20%
C) 15% D) 33.33%
 
Answer & Explanation Answer: A) 16.67%

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Filed Under: Profit and Loss
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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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Filed Under: Problems on Trains
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Q:

Two taps X and Y can fill a tank in 15 hours and 20 hours respectively. If the two taps are opened at 2 p.m., then at what time (in p.m.) should the tap X be closed to completely fill the tank at exactly 2 a.m.?

A) 8 B) 7
C) 9 D) 10
 
Answer & Explanation Answer: A) 8

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Filed Under: Pipes and Cistern
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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.

= l= 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:

In a computer game, a builder can build a wall in ten hours while a destroyer can demolish such a wall completely in fourteen hours. Both, the builder and the destroyer were initially set to work together on level ground. But after 7 hours the destroyer was taken out. What was the total time (in hrs) taken to build the wall ?

A) 17 B) 15
C) 24 D) 35
 
Answer & Explanation Answer: B) 15

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Q:

A trader allowed a discount of 15% on a trolley bag having list price of Rs 1360 and earns a profit of 15.6%. What is the cost price (in Rs) of the trolley bag?

A) 1000 B) 1005
C) 1050 D) 1156
 
Answer & Explanation Answer: A) 1000

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Filed Under: Profit and Loss
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