Quantitative Aptitude - Arithmetic Ability Questions

Q:

A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?

A) Rs. 7500 B) Rs. 8000
C) Rs. 8500 D) Rs. 9000
 
Answer & Explanation Answer: D) Rs. 9000

Explanation:

Let B's capital be Rs. x

 

Then,3500×127x=23

=> 14x = 126000 

=> x = 9000.

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Filed Under: Partnership

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Q:

What is the probability that a leap year has 53 Saturdays and 52 Sundays ?

A) 1/7 B) 2/7
C) 1/2 D) 3/2
 
Answer & Explanation Answer: A) 1/7

Explanation:

A leap year has 52 weeks and two days
Total number of cases = 7
Number of favourable cases = 1
i.e., {Friday, Saturday}

Required Probability = 1/7

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Filed Under: Probability
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Q:

The second day of a month is Sunday, What will be the last day of the next month which has 31 days  ?

A) Friday B) Saturday
C) Sunday D) Can't be determined
 
Answer & Explanation Answer: D) Can't be determined

Explanation:

We cannot find out the answer because the number of days of the current month is not given.

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Filed Under: Calendar
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Q:

An observer 1.6 m tall is 203away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The heights of the tower is:

A) 21.6 m B) 23.2 m
C) 24.72 m D) None of these
 
Answer & Explanation Answer: A) 21.6 m

Explanation:

 

 

 

 Draw BE // CD

 

Then, CE = AB = 1.6 m,

 

BE = AC =

 DEtan30=> DE = tan30 x 203=> DE = 13x203 = 20

 

Therefore, CD = CE + DE = (1.6 + 20) m = 21.6 m.

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Filed Under: Height and Distance
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Q:

The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall.

A) 40cm B) 30cm
C) 20cm D) 10cm
 
Answer & Explanation Answer: A) 40cm

Explanation:

Let the breadth of the wall be x metres. 

Then, Height = 5x metres and Length = 40x metres.  

x * 5x * 40x = 12.8   

=>x3 =12.8/200 = 128/2000 =64/1000  

=> x = 4/10 m  

=> x = (4/10)*100 = 40 cm

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Q:

If the manufacturer gains 10 %, the wholesale dealer 15 % and the retailer 25 %, then find the cost of production of a table if the retail price was Rs 1265

A) Rs. 750 B) Rs. 800
C) Rs. 850 D) Rs. 900
 
Answer & Explanation Answer: B) Rs. 800

Explanation:

Let the cost of Production = Rs. P

Then, as per question,

 

125100×115100×110100×P=1265

 

=> P=800

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Filed Under: Profit and Loss

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Q:

The ratio of the area of a square to that of the square drawn on its diagonal is

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

Explanation:

ratio = a22a2

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Filed Under: Area
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Q:

A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 40 days, then together ,all will finish the work in  ?

A) 17 + 4/7 days B) 13 + 1/3 days
C) 15 + 3/2 days D) 16 days
 
Answer & Explanation Answer: B) 13 + 1/3 days

Explanation:

C alone can finish the work in 40 days.
As given C does half as much work as A and B together
=> (A + B) can do it in 20 days
(A + B)s 1 days wok = 1/20.
A's 1 days work : B's 1 days Work = 1/2 : 1 = 1:2(given)
A's 1 day’s work = (1/20) x (1/3) = (1/60) [Divide 1/20 in the raio 1:2]
B's 1 days work = (1/20) x (2/3) = 1/30
(A+B+C)'s 1 day's work = (1/60) + (1/30) + (1/40) = 9/120 = 3/40

All the three together will finish it in 40/3 = 13 and 1/3 days.

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Filed Under: Time and Work
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