Quantitative Aptitude - Arithmetic Ability Questions

Q:

A Navy captain going away from a lighthouse at the speed of 4[(√3) – 1] m/s. He observes that it takes him 1 minute to change the angle of elevation of the top of the lighthouse from 60 to 45 deg. What is the height (in metres) of the lighthouse?

A) 240√3 B) 480[(√3) – 1]
C) 360√3 D) 280√2
 
Answer & Explanation Answer: A) 240√3

Explanation:
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Filed Under: Height and Distance
Exam Prep: Bank Exams

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Q:

A shopkeeper, sold cocoa seeds at the rate Rs 1330 a kg and bears a loss of 15%. Now if he decides to sell it at Rs 1463 per kg, what will be the result?

A) 13 percent loss B) 6.5 percent gain
C) 6.5 percent loss D) 13 percent gain
 
Answer & Explanation Answer: C) 6.5 percent loss

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Filed Under: Profit and Loss
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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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:

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
Exam Prep: Bank Exams

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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:

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 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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