Quantitative Aptitude - Arithmetic Ability Questions

Q:

 

If LMN and UVW are similar triangles, the value of side s is

A) 4 B) 6
C) 8 D) 9
 
Answer & Explanation Answer: C) 8

Explanation:
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Filed Under: Area
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Q:

Determine the value of m for which 4x + x6 + m24 is a perfect square.

 

A) 1/24 B) 1/12
C) 12 D) 24
 
Answer & Explanation Answer: B) 1/12

Explanation:
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Filed Under: Simplification
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Q:

Average of 10 numbers is 14. If each number is multiplied by 6, then what will be the new average?

 

A) 70 B) 84
C) 56 D) 92
 
Answer & Explanation Answer: B) 84

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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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188 44587
Q:

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is ?

A) 45 kmph B) 25 kmph
C) 30 kmph D) 50 kmph
 
Answer & Explanation Answer: D) 50 kmph

Explanation:

Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec.
[(25/2) x (18/5)] km/hr = 45 km/hr.
Let the speed of the train be 'S' km/hr.
Then, relative speed = (S - 5) km/hr.
S - 5 = 45 => S = 50 km/hr.

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Filed Under: Problems on Trains
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49 44561
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

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Q:

What value should come in place of the question mark (?) in the following question?

52x14+145018=1998÷?

A) 18.25 B) 19.98
C) 34.58 D) 65.25
 
Answer & Explanation Answer: B) 19.98

Explanation:
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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
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