Quantitative Aptitude - Arithmetic Ability Questions

Q:

A man travels 404 kilometres in partly by rail and steamer. He spends 10 hours more time on steamer. If the speed of the steamer is 30 km/hr and the velocity of rail is 50 km/hr, how much distance does he cover by steamer?

A) 407 km B) 509 km
C) 610 km D) 339 km
 
Answer & Explanation Answer: D) 339 km

Explanation:
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Q:

If 3x + [1/(5x)] = 7, then what is the value of 5x/(15x2+ 15x + 1)?

A) 1/5 B) 1/10
C) 2/5 D) 10
 
Answer & Explanation Answer: B) 1/10

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Filed Under: Simplification
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Q:

If cosec4A -­ cosec2A = x, then value of x is?

A) tan4A + tan2A B) cot4A + cot2A
C) cot4A -­ cot2A D) tan4A -­ tan2A
 
Answer & Explanation Answer: B) cot4A + cot2A

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Q:

Ram and Hari can cut 12 kgs nuts in 2 days. After 5 days, Hari left the work. Ram took 8 more days to cut the rest of the nuts. If total of 58 kgs of nuts were cut, the time taken by Hari to cut 10 kg of nuts is

A) 1 day B) 2 days
C) 3 days D) 4 days
 
Answer & Explanation Answer: D) 4 days

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Filed Under: Time and Work

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Q:

A tyre is sold at three successive discounts of 20%,30%, and 20%. What is the net discount (in percentage)

A) 62.8 B) 59.6
C) 55.2 D) 51.4
 
Answer & Explanation Answer: C) 55.2

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Filed Under: Percentage

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Q:

A 12 m long wire is cut into two pieces, one of which is bent into a circle and the other into a square enclosing the circle. What is the radius of the circle?

A) 12/π+4 B) 6/π+4
C) 3/π+4 D) 6/π+2√2
 
Answer & Explanation Answer: B) 6/π+4

Explanation:
As it is clear that 2r = a where a is the side of the square and
R is the radius of circle
It is given that 2πr + 4a = 12
a = 12/(π+4)
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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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Filed Under: Profit and Loss
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Q:

A shopkeeper, sold cashew nuts at the rate Rs 1,260 a kg and bears a loss of 8%. Now if he decides to sell it at Rs 1,386 per kg, what will be the result?

A) 1.2 percent gain B) 2.4 percent gain
C) 1.2 percent loss D) 2.4 percent loss
 
Answer & Explanation Answer: A) 1.2 percent gain

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Filed Under: Profit and Loss
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