Aptitude and Reasoning Questions

Q:

The area of the largest sphere ( in cm2) that can be drawn inside a square of side 18 cm is

A) 972Π B) 11664Π
C) 36Π D) 288Π
 
Answer & Explanation Answer: A) 972Π

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Filed Under: Area
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Q:

Find the missing number from the alternatives.

A) 125 B) 175
C) 225 D) 250
 
Answer & Explanation Answer: C) 225

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Filed Under: Mathematical Operations
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Q:

A can do a piece of work in 10 days and B in 12 days. With help of C, they finish the work in 4 days. In how many days C alone can do the same work?

A) 12 B) 15
C) 18 D) 24
 
Answer & Explanation Answer: B) 15

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Filed Under: Time and Work
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Q:

After selling 5% of a quantity of sugar, 5 Kgs of sugar remains . Find the total quantity of sugar?

A) 19 Kg B) 5519 kg
C) 100 kg D) 95 kg
 
Answer & Explanation Answer: B) 5519 kg

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Filed Under: Percentage
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Q:

A Bus travels at the speed of 36 km/hr, then the distance covered by it in one second is

A) 10 m B) 15 m
C) 12.5 m D) 13.5 m
 
Answer & Explanation Answer: A) 10 m

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Filed Under: Time and Distance
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Q:

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 4 days. How long B alone would take to do the whole work?

A) 12.5 days B) 100 days
C) 22.5 days D) 35 days
 
Answer & Explanation Answer: B) 100 days

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Filed Under: Time and Work
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Q:

A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series:

BXM, EUP, HRS, ?

A) XZY B) RPN
C) VTU D) KOV
 
Answer & Explanation Answer: D) KOV

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Filed Under: Alphabet Test
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Q:

If ab+c=bc+a=Cb+athen which one of the following statements is correct?

A) Each fraction is equal to 1 or -1 B) Each fraction is equal to 1/2 or 1
C) Each fraction is equal to 1/2 or -1 D) Each fraction is equal to 1.2 only
 
Answer & Explanation Answer: C) Each fraction is equal to 1/2 or -1

Explanation:

a/(b+c) = b/(c+a) = c/(a+b)

Taking reciprocal and adding 1 to each ratio we get;

(b+c)/a + 1 = b/(c+a) + 1 = c/(a+b) + 1

Or (a+b+c)/a = (a+b+c)/b = (a+b+c)/c

So this can only be equal when a=b=c or a+b+c = 0

When a=b=c we get

a/(b+c)= ½When a+b+c = 0 we get

b+c = -a

So a/(b+c) = -1

So the ratios are ½ or -1

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Filed Under: Simplification
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