Quantitative Aptitude - Arithmetic Ability Questions

Q:

Find the cube root of 287496

 

A) 64 B) 46
C) 56 D) 66
 
Answer & Explanation Answer: D) 66

Explanation:
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Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

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Q:

If 60% discount is offered on the marked price and selling price becomes equal to cost price then what was the % mark up?

A) 100 B) 250
C) 150 D) 40
 
Answer & Explanation Answer: C) 150

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

A bottle is sold at a loss of 9%. Had it sold for Rs. 15 more, a profit of 25/2% would have gained. What is the cost price of the bottle (approx)?

A) Rs. 32 B) Rs. 35
C) Rs. 36 D) Rs. 33
 
Answer & Explanation Answer: B) Rs. 35

Explanation:

Let the cost price of the bottle = Rs. 100

Selling price of the bottle = Rs. 100 - Rs. 9 = Rs. 91

Then, from the given data,

=> 112 (1/2) - 91 = 15

=> 21 (1/2) = 15

=> 43 = 15

Then 100 = ?

1500/43 = 34.885 =~ 35

Hence, the cost price of the bottle = Rs. 35

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Filed Under: Profit and Loss
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Q:

How many numbers with distinct digits are possible product of whose digits is 18?

A) 12 B) 8
C) 6 D) 4
 
Answer & Explanation Answer: B) 8

Explanation:

Two digit numbers: The two digits can be 2 and 9: Two possibilities 29 and 92.

Three-digit numbers: The three digits can be 1, 2 and 9 => 3! Or 6 possibilities.

We cannot have three digits as (3, 3, 2) as the digits have to be distinct.

We cannot have numbers with 4 digits or more without repeating the digits.

So, there are totally 8 numbers.

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank Clerk

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Q:

What will be the ratio of simple interest earned by certain amount at the same rate of interestfor 4 years and 6 years ?

A) 1:2 B) 2:1
C) 2:3 D) 3:2
 
Answer & Explanation Answer: C) 2:3

Explanation:

Let p be the principle amount

And R% be the rate of interest

Then, required ratio =P×4×R100P×6×R100 

 

4PR6PR= 2:3

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Filed Under: Simple Interest
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Q:

Example:$800 is invested at 7% for 6 years.Find the interest compounded anually?

A) 400.58 B) 300.58
C) 200.58 D) 100.58
 
Answer & Explanation Answer: A) 400.58

Explanation:

M=P(1+i)^n

 

I=M-P

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Q:

Suresh starts working as a analyst on an annual salary of Rs. 160000. If he receives a 15% pay-rise each year, the number of years he has worked for the company, when his annual salary became Rs. 279841 is

A) 3.5 yrs B) 4 yrs
C) 4.5 yrs D) 5 yrs
 
Answer & Explanation Answer: B) 4 yrs

Explanation:

From the given data in the question,

279841 = 160000 x 1+15100t279841160000 = 115100t

t = 4 years.

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Filed Under: Percentage
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Q:

In how many ways the letters of the word 'CIRCUMSTANCES' can be arranged such that all vowels came at odd places and N always comes at end?

A) 1,51,200 ways. B) 5,04,020 ways
C) 72,000 ways D) None of the above
 
Answer & Explanation Answer: A) 1,51,200 ways.

Explanation:

In circumcstances word there are 3C's, 2S's, I, U,R, T, A, N, E

Total = 13 letters

But last letter must be N

Hence, available places = 12

In that odd places = 1, 3, 5, 7, 9, 11

Owvels = 4

This can be done in 6P4 ways 

Remaining 7 letters can be arranged in 7!/3! x 2! ways

 

Hence, total number of ways = 6P4 x 7!/3! x 2! = 360 x 5040/12 = 1,51,200 ways.

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Filed Under: Permutations and Combinations
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