Quantitative Aptitude - Arithmetic Ability Questions

Q:

The line passing through (­3,4) and (0,3) is perpendicular to the line passing through (5,7) and (4,x). What is the value of x?

A) 4 B) -2
C) 2 D) -4
 
Answer & Explanation Answer: A) 4

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Filed Under: Area
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Q:

If 5 ­ 3x < 4 ­ x and 5(2 ­ x) > 2 ­ 2x, then x can take which of the following values?

A) 0 B) 1
C) 3 D) -1
 
Answer & Explanation Answer: B) 1

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Filed Under: Simplification
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Q:

If secA + tanA = x, then find the value of x.

A) √[(1 - sinA)/(1 + sinA)] B) (1 + sinA)/(1 - sinA)
C) (1 - sinA)/(1 + sinA) D) √[(1 + sinA)/(1 - sinA)]
 
Answer & Explanation Answer: D) √[(1 + sinA)/(1 - sinA)]

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Q:

A man starts moving from a place A and reaches the place B in 26 hours. He covers 1/3rd of the distance at the speed of 4 km/hr and covers the remaining distance at the speed of 5 km/hr. What is the distance (in km) between A and B?

A) 45 B) 80
C) 120 D) 90
 
Answer & Explanation Answer: C) 120

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Filed Under: Time and Work
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Q:

A boy buys 5 pencils at Rs 3 each, 3 erasers at Rs 2 each and 3 sharpeners at Rs 5 each. What is the average expenditure (in Rs) per article?

A) 3.27 B) 3.5
C) 4 D) 5
 
Answer & Explanation Answer: A) 3.27

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Filed Under: Average
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Q:

The age of Rakhi is twelve times that of her daughter Anubha. If age of Anubha is 3 years now, then what was the age of Rakhi, 2 years earlier?

A) 20 years B) 34 years
C) 30 years D) 36 years
 
Answer & Explanation Answer: B) 34 years

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Filed Under: Problems on Ages
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Q:

A train runs at 80 kmph for the first 40 km and the next 30 km at 60 kmph. Find the average speed.

A) 62 kmph B) 64 kmph
C) 65 kmph D) 70 kmph
 
Answer & Explanation Answer: D) 70 kmph

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Filed Under: Problems on Trains
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Q:

The value of 1+tan2(1-sin2) is

A) 2 B) 1
C) -1 D) -2
 
Answer & Explanation Answer: B) 1

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