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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Three men, four women and six children can complete a work in 9 days. A women does  double the work a man does and a child does half the work a man does. How many women alone can complete this work in 9 days?

A) 7 B) 8
C) 9 D) 6
 
Answer & Explanation Answer: A) 7

Explanation:

Given (3 Men + 4 Women + 6 Children) -----> 9 days

But W = 2M and C = M/2

Now, convert Men and Children into Women by

3W2 + 4W + 6W4=> 32 + 4 + 32 = 7 Women 

Therefore, 7 women alone can complete this work in 9 days.

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Filed Under: Time and Work
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Q:

A person can row 8 1/2 km an hour in still water and he finds that it takes him twice as long to row up as to row down the river. The speed of the stream ?

A) 1.78 kmph B) 2.35 kmph
C) 2.83 kmph D) 3.15 kmph
 
Answer & Explanation Answer: C) 2.83 kmph

Explanation:

Given speed of the person = 8 1/2 = 17/2 kmph
Let the speed of the stream = x kmph
speed of upstream = 17/2 - x
speed of downstream = 17/2 + x
But given that,
2(17/2 - x) = 17/2 + x
=> 3x = 17/2
=> x = 2.83 kmph.

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Filed Under: Boats and Streams
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Q:

If Reena’s age was twice of her present age, when subtracted from four times three years from hence, with three times the three years before her present age. What will be her age after one year ?

A) 22 yrs B) 21 yrs
C) 20 yrs D) 24 yrs
 
Answer & Explanation Answer: A) 22 yrs

Explanation:

Let Reena’s present age be 'K' yrs.
Given:{(K+3) x 4} - {(K-3) x 3)}
=> K = 21 yrs
So her present age is 21 yrs.
Then, her age after 1 year is 22 yrs.

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Filed Under: Problems on Ages
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Q:

The true discount on a bill due 9 months hence at 12% per annum is Rs. Find the amount of the bill and its present worth.

A) 1500 B) 1600
C) 6200 D) 6000
 
Answer & Explanation Answer: D) 6000

Explanation:

Let amount be Rs. x. 

Then,  [X * R * T] / [100+(R * T)]  

⇒x×12×34100+12×34 = 540 

x=  Rs.6540  

Amount = Rs. 6540.  

P.W. = Rs. (6540 – 540) =Rs. 6000.

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Filed Under: True Discount

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Q:

The ratio of present ages of X and Y is 4:5. Which of the following can't be the ratio of ages of X and Y, 20 years ago ?

A) 2 : 5 B) 8 : 15
C) 9 : 10 D) 3 : 5
 
Answer & Explanation Answer: C) 9 : 10

Explanation:

The ratio of X and Y ages at present is 4:5. 

Then, the ratio 20 years ago will not be more than the ratio at present.

So, from the options 9:10 is not satifying => its ratio is 0.9 which is greater than presnt ratio of 0.8.

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Filed Under: Problems on Ages
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Q:

The length of a rectangle is 12 cm. What is the width if the area is 72 cm ?

A) 6cm B) 5cm
C) 3cm D) 4cm
 
Answer & Explanation Answer: A) 6cm

Explanation:

A=lb

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Filed Under: Area
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Q:

In a wheelchair slalom event, athletes weave around cones and race to the finish line. A diagram of the rectangular course is shown. Find the perimeter of the course

A) 32 B) 42
C) 62 D) 92
 
Answer & Explanation Answer: D) 92

Explanation:

P = 2l + 2w

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Filed Under: Area
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Q:

A boat whose speed in still water is 9 kmph, goes 12 km downstream and comes back in 3 hrs. Find the speed of the stream?

A) 1 kmph B) 3 kmph
C) 5 kmph D) 4 kmph
 
Answer & Explanation Answer: B) 3 kmph

Explanation:

Let the speed of the stream = x kmph

 

From the given data,

 

 129+x+129-x=3 hrs

3x2 = 27

 

=> x = 3 kmph

 

Therefore, the speed of the stream = 3 kmph

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Filed Under: Boats and Streams
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