Quantitative Aptitude - Arithmetic Ability Questions

Q:

Rs. 5887 is divided between Shyam and Ram, such that Shyam's share at the end of 9 years is equal to Ram's share at the end of 11 years, compounded annually at the rate of 5%. Find the share of Shyam.

A) 3567 B) 3452
C) 3087 D) 3544
 
Answer & Explanation Answer: C) 3087

Explanation:

Shyam's share * (1+0.05)9 = Ram's share * (1 + 0.05)11

Shyam's share / Ram's share = (1 + 0.05)11 / (1+ 0.05)9 = (1+ 0.05)2 = 441/400

Therefore Shyam's share = (441/841) * 5887 = 3087

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Filed Under: Compound Interest
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17 23939
Q:

Out of 17 applicants 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.

A) 19/34 B) 5/4
C) 20/34 D) 25/34
 
Answer & Explanation Answer: D) 25/34

Explanation:

The events of selection of two person is redefined as first is a girl and second is a boy or first is boy and second is a girl or first is a girl and second is a girl.

So the required probability:
=817*916+917*816+817*716

 

934+934+734
2534

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Filed Under: Probability

21 23928
Q:

In the figure AMB = 130°, then what is the value (in deg) of ABQ?

 

A) 40 B) 50
C) 60 D) 90
 
Answer & Explanation Answer: B) 50

Explanation:
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Filed Under: Volume and Surface Area
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3 23925
Q:

15% of 60 is 45% of __

 

A) 20 B) 30
C) 180 D) 40
 
Answer & Explanation Answer: A) 20

Explanation:
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Filed Under: Percentage
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4 23924
Q:

If the sum of the interior angles of a regular polygon is 720° then how many sides does it have?

 

A) 8 B) 9
C) 6 D) 10
 
Answer & Explanation Answer: C) 6

Explanation:
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Filed Under: Area
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0 23900
Q:

A man wants to sell his scooter .There are two offers one at Rs12000 cash and other at a credit of Rs12880 to be paid after 8 months ,money being at 18% per annum which is better offer?

A) Rs.12880 B) Rs.12000
C) Both are equally good D) None of the above
 
Answer & Explanation Answer: B) Rs.12000

Explanation:

PW of Rs.12,880 due 8 months hence  

= Rs. [12880 x 100] / [100+(18 x 8/12)] =Rs.11500 

Clearly 12000 in cash is a better offer.

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Filed Under: True Discount

12 23894
Q:

A man walks 6 km at a speed of 112kmph, runs 8 km at a speed of 2 kmph and goes by bus another 32 km. Speed of the bus is 8 kmph. Find the average speed of the man in kmph.

A) 4314

B) 4213

C) 2413

D) 3414

A) Option A B) Option B
C) Option C D) Option D
 
Answer & Explanation Answer: B) Option B

Explanation:

Man walked 6 km at 1.5 kmph, again he walked 8 km at speed of 2 kmph and 40 km at a speed of 8kmph
time taken indivisually:
=> 6/1.5 = 4 m
=> 8/2 = 4 m
=> 40/8 = 5 m

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Average speed of man= total distance/ total time
=> 54/13 = 4213 kmph

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Filed Under: Time and Distance
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17 23858
Q:

The compound interest on a sum of money for 2 years is rs.832 and the simple interest on the same sum for the same period is rs.800 .the difference between the compound interest and simple interest for 3 years

A) Rs.48 B) Rs.66.56
C) Rs.98.56 D) None of these
 
Answer & Explanation Answer: C) Rs.98.56

Explanation:

difference in C.I and S.I in 2years =Rs.32

S.I for 1year =Rs.400

S.I for Rs.400 for one year =Rs.32

rate=[100*32)/(400*1)%=8%

difference between in C.I and S.I for 3rd year

=S.I on Rs.832= Rs.(832*8*1)/100=Rs.66.56

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Filed Under: Compound Interest
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43 23823