Quantitative Aptitude - Arithmetic Ability Questions

Q:

If the side of square is increased by 6%, then what will be the percentage increase in its area?

A) 3.2 B) 12.04
C) 12.12 D) 12.36
 
Answer & Explanation Answer: D) 12.36

Explanation:
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Filed Under: Percentage
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Q:

Aarush's birthday is on Thursday 27th April. On what day of the week will be Mitul's Birthday in the same year if Mitul was born on 28th September?

A) Monday B) Thursday
C) Wednesday D) Tuesday
 
Answer & Explanation Answer: B) Thursday

Explanation:
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Filed Under: Calendar
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Q:

5 boys and 3 girls can together cultivate a 23 acre field in 4 days and 3 boys and 2 girls together can cultivate a 7 acre field in 2 days. How many girls will be needed together with 7 boys, if they cultivate 45 acres of field in 6 days?

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

Explanation:

Let workdone 1 boy in 1 day be b

and that of 1 girl be g

From the given data,

4(5b + 3g) = 23

20b + 12g = 23 .......(a)

 

2(3b + 2g) = 7

6b + 4g = 7 ........(b)

 

Solving (a) & (b), we get

b = 1, g = 1/4

 

Let number og girls required be 'p'

6(7 x 1 + p x 1/4) = 45

=> p = 2.

 

Hence, number of girls required = 2

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Filed Under: Time and Work
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Q:

64/12 in simplest form?

A) 19/6 B) 32/4
C) 16/3 D) None of the above
 
Answer & Explanation Answer: C) 16/3

Explanation:

64/12 = 16/3 in simplest form.

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Q:

16 persons are participated in a party. In how many differentways can they host the seat in a circular table, if the 2particular persons are to be seated on either side of the host?

A) 16! × 2 B) 14! × 2
C) 18! × 2 D) 14!
 
Answer & Explanation Answer: B) 14! × 2

Explanation:

(16 – 2)! × 2 = 14! × 2

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Filed Under: Permutations and Combinations
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Q:

A takes 24 day in completing a work alone. Time taken by A in completing 1/3rd of the work is equal to the time taken by B in completing half of the work. How many days will be taken in completing the work if both A & B start working together?

A) 21/3 days B) 48 days
C) 40 days D) 48/5 days
 
Answer & Explanation Answer: D) 48/5 days

Explanation:

Ans. 
Time taken by A to complete a work alone - 24 days
Time taken by A in completing 1/3 of work = 24*1/3= 8 Days
8 day = time taken by B in completing 1/2 of work
B alone can complete the work = 16 days
The required time in completing the work if both A & B start working together?
16*24 / 40 = 48/5 Days

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Filed Under: Time and Work
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Q:

At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?

A) 30 points B) 20 points
C) 10 points D) 12 points
 
Answer & Explanation Answer: C) 10 points

Explanation:

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Q:

Two bus tickets from city K to L and three tickets from city K to M cost Rs. 77,  but three tickets from city K to L and two tickets from city K to M cost Rs. 73. What are the fares for cities L and M from K ?

A) Rs. 13 and Rs. 17 B) Rs. 17 and Rs. 19
C) Rs. 23 and Rs. 17 D) Rs. 13 and Rs. 19
 
Answer & Explanation Answer: A) Rs. 13 and Rs. 17

Explanation:

If fares for cities L and M from K are x and y respectively, then

2x + 3y = 77 or 6x + 9y = 231...(1)
3x + 2y = 73 or 6x + 4y = 146...(2)

subtracting 2 from 1, we get

5y = 85

y = Rs. 17 => x = Rs. 13

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Filed Under: Numbers
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