Quantitative Aptitude - Arithmetic Ability Questions

Q:

In what proportion water must be added to spirit to gain 20% by selling it at the cost price ?

Answer

Let the C.P of spirit be = Rs.10 per litre


Then S.P l litre of the mixture = Rs. 11


Profit = 20%


 


Therefore, C.P of the mixture = Rs. 100120×10 = Rs. 25/3 per litre


 



 Therefore, Ratio of water and spirit = 1 : 5

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189 44831
Q:

A certain number of men can finish a piece of work in 100 days. If there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?

A) 75 B) 82
C) 100 D) 110
 
Answer & Explanation Answer: D) 110

Explanation:

Originally let there be x men.

Less men, More days     (Indirect Proportion)

 Therefore, (x-10) : x  :: 100 :110

=> (x - 10) * 110 = x * 100    => x= 110

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Filed Under: Chain Rule

97 44824
Q:

A, B and C enter into a partnership with a capital in which A's contribution is Rs. 10,000. If out of a total profit of Rs. 1000, A gets Rs. 500 and B gets Rs. 300, then C's capital is :

A) 4000 B) 5000
C) 6000 D) 7000
 
Answer & Explanation Answer: A) 4000

Explanation:

A : B : C = 500 : 300 : 200 = 5 : 3 : 2.

Let their capitals be 5x, 3x and 2x respectively.

Then, 5x = 10000  

=>  x = 2000.

C's capital = 2x = Rs. 4000.

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Filed Under: Partnership

39 44742
Q:

The difference between compound interest and simple interest on a sum for two years at 8% per annum, where the interest is compounded annually is Rs.16. if the interest were compounded half yearly , the difference in two interests would be nearly

A) Rs.24.64 B) Rs.21.85
C) Rs.16 D) Rs.16.80
 
Answer & Explanation Answer: A) Rs.24.64

Explanation:

For 1st year S.I =C.I.

 

Thus, Rs.16 is the S.I. on S.I. for 1 year, which at 8% is thus Rs.200

 

i.e S.I on the principal for 1 year is Rs.200

 

Principle = Rs.100*2008*1 = Rs.2500

 

Amount for 2 years, compounded half-yearly

 Rs.2500*1+41004=Rs.2924.4

 

C.I = Rs.424.64

 

Also, S.I=Rs.2500*8*2100=Rs.400

 

Hence, [(C.I) - (S.I)] = Rs. (424.64 - 400) = Rs.24.64

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

121 44682
Q:

Which of the following represents the sides of an acute angled triangle?

 

A) 6, 9, 16   B) 7, 8, 10  
C) 5, 12, 13   D) None of these
 
Answer & Explanation Answer: B) 7, 8, 10  

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 44653
Q:

On 8th Dec, 2007 Saturday falls. What day of the week was it on 8th Dec, 2006?

A) Saturday B) Friday
C) Monday D) Tuesday
 
Answer & Explanation Answer: B) Friday

Explanation:

The year 2006 is an ordinary year. So, it has 1 odd day.

So, the day on 8th Dec, 2007 will be 1 day beyond the day on 8th Dec, 2006.

But, 8th Dec, 2007 is Saturday

S0, 8th Dec, 2006 is Friday.

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Filed Under: Calendar

183 44623
Q:

How many leap years does 100 years have?

A) 25 B) 24
C) 4 D) 26
 
Answer & Explanation Answer: B) 24

Explanation:

Given year is divided by 4, and the quotient gives the number of leap years.

Here, 100%4 = 25.

But, as 100 is not a leap year => 25 - 1= 24 leap years.

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Filed Under: Calendar

139 44619
Q:

There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate

A) Rs.4972 B) Rs.3972
C) Rs.5972 D) Rs.2972
 
Answer & Explanation Answer: B) Rs.3972

Explanation:

 

Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.

 

R=100*60100*6 =10% p.a

 

Now, P = Rs. 12000. T = 3 years and R = 10% p.a.

 

C.I=Rs.12000*1+101003-1
       =Rs.3972

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

52 44508