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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Two trains start from same place at same time at right angles to each other. Their speeds are 36km/hr and 48km/hr respectively. After 30 seconds the distance between them will be ?

A) 900 mts B) 300 mts
C) 250 mts D) 500 mts
 
Answer & Explanation Answer: D) 500 mts

Explanation:

Using pythagarous theorem,
distance travelled by first train = 36x5/18x30 = 300m
distance travelled by second train = 48x5/18x30 = 400m
so distance between them =√( 90000 + 160000) = √250000 = 500mts.

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Filed Under: Time and Distance
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8 7051
Q:

Find the speed of stream if a boat covers 36 km in downstream in 6 hours which is 3 hours less in covering the same distance in upstream?

A) 1.5 kmph B) 1 kmph
C) 0.75 kmph D) 0.5 kmph
 
Answer & Explanation Answer: B) 1 kmph

Explanation:

Speed of the boat upstream = 36/9 = 4 kmph

Speed of the boat in downstream = 36/6 = 6 kmph

Speed of stream = 6-4/2 = 1 kmph

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Filed Under: Boats and Streams
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18 7050
Q:

A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in  ?

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

Explanation:

Suppose A, B and C take x, x/2 and x/3 respectively to finish the work. 

Then, (1/x + 2/x + 3/x) = 1/2 

=> 6/x = 1/2      => x = 12 

So, B takes 6 hours to finish the work.

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Filed Under: Time and Work
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4 7045
Q:

A sold an article to B at 40% profit and B sold it to C at 50% profit, then what will be profit percent with respect to A ?

A) 97 % B) 110 %
C) 135 % D) 115 %
 
Answer & Explanation Answer: B) 110 %

Explanation:

% Profit with respect to A = 40 + 50 + (40 x 50)/100 = 90 + 20 = 110 %.

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Filed Under: Profit and Loss
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2 7033
Q:

A merchant commences with a certain capital and gains annually at the rate of 30 per cent. At the end of 2 years he has worth Rs 10,000. What was the original capital? 

A) Rs. 4987 B) Rs. 5148
C) Rs. 5917 D) Rs. 6254
 
Answer & Explanation Answer: C) Rs. 5917

Explanation:

Let the Original capital amount be Rs. P

Given after 2 years the amount is Rs. 10000

Rate of interest = 30%

According to the question,

P x 130100 x 130100 = 10000=> P = 1000000169 = 5917

Therefore, the capital amount P = Rs. 5917

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Filed Under: Percentage
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6 7030
Q:

There are fourteen juniors and twenty-three seniors in the Service Club. The club is to send four representatives to the State Conference. If the members of the club decide to send two juniors and two seniors, how many different groupings are possible ?

A) 23024 B) 24023
C) 23023 D) 25690
 
Answer & Explanation Answer: C) 23023

Explanation:

Choose 2 juniors and 2 seniors.

 

14C2*23C2 = 23023

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Filed Under: Permutations and Combinations

1 7018
Q:

Find the area of a square, one of whose diagonals is 3.8 m long.

A) 4.22 sq.m B) 5.22 sq.m
C) 6.22 sq.m D) 7.22 sq.m
 
Answer & Explanation Answer: D) 7.22 sq.m

Explanation:

Area of the square = 12×diagonal2=  1/2 * 3.8 * 3.8 = 7.22 sq.m

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Filed Under: Volume and Surface Area
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2 7015
Q:

A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the invest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest ?

A) 4% p.a. B) 6% p.a.
C) 8% p.a. D) 12% p.a.
 
Answer & Explanation Answer: D) 12% p.a.

Explanation:

If the interest earned is 25% more than the earlier interest then the rate of interest also should be 25% higher than the earlier rate.
Let the earlier rate of interest be x%.
Now it will be (x + 3)%
% increase = (x + 3) - x/x * 100 = 25
=> x = 12%

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Filed Under: Profit and Loss
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5 7012