Quantitative Aptitude - Arithmetic Ability Questions

Q:

The average age of the district level hockey team of eleven is 22 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ?

A) 33 yrs B) 34 yrs
C) 35 yrs D) 36 yrs
 
Answer & Explanation Answer: B) 34 yrs

Explanation:

Total age of players in team = 22 x 11 = 242
When coach is included, total members = 12, Avg age increases by one becomes 23
Total age when coach is included = 23x12 = 276
Age of coach = 276-242 = 34 yrs.

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Filed Under: Average
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Q:

A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?

A) 2% B) 4%
C) 3% D) 2.5%
 
Answer & Explanation Answer: B) 4%

Explanation:

SP of first article = 1000

Profit = 20%

CP = 100100+P×SP= 5000/6 = 2500/3


SP of second article = 1000

Loss = 20%

CP = 100100-L×SP= 5000/4 = 1250


Total SP = 2000

Total CP = 25003+ 1250 = 6250/3

CP is more than SP, he makes a loss.

Loss = CP-SP = (6250/3)- 2000 = 250/3


Loss Percent =250362503×100= 4%

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Filed Under: Profit and Loss
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Q:

What is the SI on Rs.2500/- at the rate of 12% per annum for 8 years?

A) 2200 B) 2300
C) 2400 D) 2500
 
Answer & Explanation Answer: C) 2400

Explanation:

S.I=PNR/100

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Filed Under: Compound Interest
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13 6850
Q:

The length of a rectangular plot is increased by 50%, to keep its area unchanged, the width of the plot should be decreased by ______?

A) 29.87% B) 33.33%
C) 22.22% D) 19.5%
 
Answer & Explanation Answer: B) 33.33%

Explanation:

% Decrease in Width = 50150x100

 

= 33.33% 

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Filed Under: Percentage
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Q:

The ratio of efficiencies of two filling pipes is 4 : 5. There is a third emptying pipe which efficiency is two third of the average efficiency of first two filling pipes can empty a filled tank in 36 minutes. In how much time both the filling pipes can fill the tank when it is empty?

A) 16 min B) 12 min
C) 14 min D) 20 min
 
Answer & Explanation Answer: B) 12 min

Explanation:

Let the efficiencies of filling pipes is 4p and 5p respectively.

Efficiency of pipe which empty the tank = 2/3 x 9p/2 = 3p

Total work = 3p x 36 = 108p

 

Time to fill the tank by both the pipes = 108p/9p = 12 min.

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Filed Under: Pipes and Cistern
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Q:

Two unbiased coin are tossed. What is the probability of getting atmost one head?

A) 1/2 B) 3/2
C) 1/6 D) 3/4
 
Answer & Explanation Answer: D) 3/4

Explanation:

Here, S={HH,HT,TH,TT}
Let E be the event of getting one head
E={TT,HT,TH}
P(E )= n(E)/n(S) =3/4

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Filed Under: Probability

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Q:

Ten years ago, A was half of B in age. If the ratio of their present ages is 3:4, then what will be the total of their present ages?

Answer

Let A's age 10 years ago be x years 


Then B's age 10 years ago  be 2x yeats


\inline \Rightarrow \frac{x+10}{2x+10}=\frac{3}{4}


\inline \Rightarrow 4(x+10)=3(2x+10)


\inline \Rightarrow x=5


\inline \therefore Total of their present ages =                                        


                                          = 


                                          = 35 years

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Subject: Problems on Ages

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Q:

The cash realised on selling a 14% stock is Rs.106.25, brokerage being 1/4% is

A) 123 B) 106
C) 100 D) 156
 
Answer & Explanation Answer: B) 106

Explanation:

Cash realised= Rs. (106.25 - 0.25)
                      = Rs. 106.

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Filed Under: Stocks and Shares

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