Aptitude and Reasoning Questions

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:

If x +y = √3 and x - y = √2, then the value of 8xy (x2 + y2) is

A) 6 B) √6
C) 5 D) √5
 
Answer & Explanation Answer: C) 5

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Filed Under: Simplification

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Q:

A carpenter can build a cupboard in 48 hours. After 12 hours he takes a break. What fraction of the cupboard is yet to be built?

A) 0.4 B) 0.5
C) 0.75 D) 0.25
 
Answer & Explanation Answer: C) 0.75

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Filed Under: Time and Work
Exam Prep: Bank Exams

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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
Exam Prep: Bank Exams

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Q:

If xy = 48 and x2 + y2 = 100, then (x + y) is

A) 12 B) 16
C) 18 D) 14
 
Answer & Explanation Answer: D) 14

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If the amount on a certain principal in 3 years at 12% rate of interest compounded annually is Rs 12,000, what will be the amount (in Rs) after the 4th year?

A) 14330 B) 15440
C) 13440 D) 14550
 
Answer & Explanation Answer: C) 13440

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Filed Under: Compound Interest
Exam Prep: Bank Exams

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Q:

If PROJECT is coded as KILQVXG, then how will EGO be coded as?

A) VPU B) MJN
C) VTL D) SGD
 
Answer & Explanation Answer: C) VTL

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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

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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
Exam Prep: Bank Exams

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