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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The average of a non-zero number and its square is 11 times the number. The number is ?

A) 22 B) 21
C) 11 D) 17
 
Answer & Explanation Answer: A) 22

Explanation:

Let the number be 'x'.

 

 

 

x+x22 = 11x
x2= 22x
=> x = 22.

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Filed Under: Average
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8 9495
Q:

If Riya's age is four times the age of Siya and if Riya's age is 24 yrs , find the age difference between Riya and Siya ? 

A) 2 yrs B) 12 yrs
C) 18 yrs D) 6 yrs
 
Answer & Explanation Answer: C) 18 yrs

Explanation:

Let Siya's age = x

Then Riya's age = 4x

But given Riya's age = 24

=> 4x = 24 => x = 6

Hence Siya's age = 6 yrs

=> The age difference = 24 - 6 = 18 yrs.

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Filed Under: Problems on Ages
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9 9490
Q:

A is 50% more efficient than B. They together start the work and 7/12th of work is left after 8 days. Find in what time B alone will complete the whole work.

A) 36 days  B) 44 days 
C) 50 days  D) 40 days 
 
Answer & Explanation Answer:

Explanation:

Ratio of efficiency of A to B is 3 : 2

Let, In 8 days they complete = (3 + 2) × 8 = 40 units

So, total work = 40 × 12/5 units

Time taken by B alone to complete whole work = 40 ×  12/5 ×2 = 48 days 

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Filed Under: Time and Work
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5 9474
Q:

How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction ?

A) 58 sec B) 62 sec
C) 60 sec D) 50 sec
 
Answer & Explanation Answer: D) 50 sec

Explanation:

The distance to be covered = Sum of their lengths = 200 + 300 = 500 m.

Relative speed = 72 -36 = 36 kmph = 36 x 5/18 = 10 mps.

Time required = d/s = 500/10 = 50 sec.

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Filed Under: Problems on Trains
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8 9470
Q:

How many minutes does a watch lose per day, if its hands coincide every 64 minutes ?

A) 36 7/9 min B) 32 8/11 min
C) 34 3/11 min D) 65 5/11 min
 
Answer & Explanation Answer: B) 32 8/11 min

Explanation:

55 min. spaces are covered in 60 min.

60 min. spaces are covered in open parentheses 60 over 55 cross times 60 close parentheses min. = 65 5 over 11 min.

Loss in 64 min. = open parentheses 65 5 over 11 minus 64 close parentheses equals 16 over 11 min.

Loss in 24 hrs = open parentheses 16 over 11 cross times 1 over 64 cross times 24 cross times 60 close parentheses min. = 32 8 over 11 min.

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Filed Under: Clocks
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36 9467
Q:

There are eight boxes of chocolates, each box containing distinct number of chocolates from 1 to 8. In how many ways four of these boxes can be given to four persons (one boxes to each) such that the first person gets more chocolates than each of the three, the second person gets more chocolates than the third as well as the fourth persons and the third person gets more chocolates than fourth person? 

A) 70 B) 40
C) 72 D) 80
 
Answer & Explanation Answer: A) 70

Explanation:

All the boxes contain distinct number of chocolates.
For each combination of 4 out of 8 boxes, the box with the greatest number has to be given to the first person, the box with the second highest to the second person and so on.

 

The number of ways of giving 4 boxes to the 4 person is: 8C4= 70

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Filed Under: Permutations and Combinations

5 9447
Q:

Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank ?

A) 15 min 20 sec. B) 16 min 40 sec.
C) 13 min 10 sec. D) 14 min 40 sec.
 
Answer & Explanation Answer: D) 14 min 40 sec.

Explanation:

Part filled in 4 minutes = 4(1/15 + 1/20) = 7/15

 

Remaining part = 1 - 7/15 = 8/15

 

Part filled by B in 1 minute = 1/20

 

1/20 : 8/15 :: 1 : k

 

k = (8/15 )x 1 x 20 = 10( 2/3) min = 10 min 40 sec.

 

The tank will be full in (4 min. + 10 min. 40 sec) = 14 min 40 sec.

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Filed Under: Pipes and Cistern
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7 9445
Q:

The ratio of efficiencies of P, Q and R is 2 : 3 : 4. While P and R work on alternate days and Q work for all days. Now the work completed in total 10 days and the total amount they get is Rs. 1200. Find the amount of each person(respectively).

A) 200, 600, 400 B) 400, 600, 200
C) 600, 200, 400 D) 400, 200, 600
 
Answer & Explanation Answer: A) 200, 600, 400

Explanation:

Ratio of efficiencies of P, Q and R = 2 : 3 : 4

From the given data,

Number of working days of P, Q, R = 5 : 10 : 5

Hence, ratio of amount of p, Q, R = 2x5 : 3x10 : 4x5 = 10 : 30 : 20

Amounts of P, Q, R = 200, 600 and 400.

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Filed Under: Time and Work
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8 9441