Quantitative Aptitude - Arithmetic Ability Questions

Q:

If the radius of the cylinder is increased by 25%, then by how much percent the height must be reduced, so that the volume of the cylinder remains same?

A) 36 B) 56
C) 64 D) 46
 
Answer & Explanation Answer: A) 36

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Filed Under: Volume and Surface Area
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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 can finish a work in 18 days and B in 36 days. If they work on it together for 9 days, then what percent of work is left?

A) 33.3 B) 20
C) 75 D) 25
 
Answer & Explanation Answer: D) 25

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Filed Under: Time and Work
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Q:

The average of four consecutive odd numbers is 40. What is the largest number?

A) 42 B) 45
C) 43 D) 44
 
Answer & Explanation Answer: C) 43

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Filed Under: Problems on Numbers
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Q:

An item is sold at two successive gains of 30% and 20%. If the final selling price is Rs 31200, then what is the cost price (in Rs)?

 

A) 15000 B) 20000
C) 22250 D) 24000
 
Answer & Explanation Answer: B) 20000

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Filed Under: Profit and Loss
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Q:

A train leaves Delhi at 10 a.m. and reaches Jaipur at 4 p.m. on same day. Another train leaves Jaipur at 12 p.m. and reaches Delhi at 5 p.m. on same day. What is the time of day (approximately) when the two trains will meet?

A) 1:42 p.m. B) 1:27 p.m.
C) 2:04 p.m. D) 1:49 p.m.
 
Answer & Explanation Answer: D) 1:49 p.m.

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Filed Under: Time and Distance
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Q:

A wholesaler sells a watch to a retailer at a profit of 25% and the retailer sells it to a customer at a loss of 12%. If the customer pays Rs 1045, what had it cost the wholesaler?

A) Rs 950 B) Rs 1149
C) Rs 1244 D) Rs 751
 
Answer & Explanation Answer: A) Rs 950

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Filed Under: Profit and Loss
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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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