Quantitative Aptitude - Arithmetic Ability Questions

Q:

If secA - tanA = x, then the value of x is

A) 1/(sec2A - tan2A) B) 1/(sec2A + tan2A)
C) 1/√[(sec2A - tan2A)] D) 1/(secA + tanA)
 
Answer & Explanation Answer: D) 1/(secA + tanA)

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

On selling rice for Rs. 45 per kg, a shopkeeper bears loss of 20%. To earn a profit of 20%, the selling price should be

A) Rs. 67.50 B) Rs. 65
C) Rs. 70 D) Rs. 60
 
Answer & Explanation Answer: A) Rs. 67.50

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

If 40% of x = y, then y% of 40 is same as _____ of x.

A) 16% B) 4%
C) 8% D) 160%
 
Answer & Explanation Answer: A) 16%

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

If A is 6 times more than B, then by what percentage is B is less than A?

A) 64.82 B) 83.33
C) 28.56 D) 85.71
 
Answer & Explanation Answer: D) 85.71

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Filed Under: Percentage
Exam Prep: Bank Exams , CAT

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Q:

2/3 of a milk-water mixture was milk. There was 21 lit of the mixture. If 4 lit of water is added to it, the % of milk in the new mixture will be:

A) 56 B) 11
C) 44 D) 14
 
Answer & Explanation Answer: A) 56

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

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Q:

The interest earned on Rs. 1600 at the rate of 5% S>I per annum for 6 yrs would be:

A) 2080 B) 450
C) 496 D) 480
 
Answer & Explanation Answer: D) 480

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

After repairing a scooter runs at a speed of 54 km/h and before repairing runs at speed of 48 km/h. It covers a certain distance in 6 hours after repairing. How much time will it take to cover the same distance before repairing?

A) 6 hours 15 minutes B) 6 hours 45 minutes
C) 7 hours D) 7 hours 30 minutes
 
Answer & Explanation Answer: B) 6 hours 45 minutes

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

There are two parallel streets each directed north to south. A person in the first street travelling from south to north wishes to take the second street which is on his right side. At some place, he makes a 150 deg turn to the right and he travels for 15 minutes at the speed of 20 km/hr. After that he takes a left turn of 60 deg and travels for 20 minutes at the speed of 30 km/hr in order to meet the second street. What is the distance between the two streets?

A) 7.5 km B) 10.5 km
C) 12.5 km D) 15 km
 
Answer & Explanation Answer: C) 12.5 km

Explanation:
Initially the person is travelling from south to north i.e. D to A
He takes 150 deg right turn and moves AB distance and then he takes 60 deg left turn travels BC
AB = 20km/hr * 15/60 hr = 5km
BC = 30 * 20/60 = 10 km
We know that distance between both the streets is DC = DB + BC
DB = AB cos 60o= 5. ½ =2.5 km
So the distance between streets = 12.5 km
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Filed Under: Height and Distance
Exam Prep: Bank Exams

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