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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum  ?

A) Rs. 5858 B) Rs. 8800
C) Rs. 7000 D) Rs. 6350
 
Answer & Explanation Answer: C) Rs. 7000

Explanation:

Let the sum be Rs. S.
(S x 18 x 2)/100 - (S x 12 x 2)/100 = 840 => 36S/100 - 24S/100 = 840

=> 12S/100 = 840 => S = 7000.

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Filed Under: Simple Interest
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3 9033
Q:

A man said to his son, "I was two-thirds of your present age when you were born". IIf the present age of the man is 48 years, find the present age of the son.

Answer

Let the Present age of the son be P, which means he was born P years ago.At the time the son was born, the age of the man was : (48 - P). So, according to the statement made by the man, his age when the son was born should be equal to 2/3 of P.


Therefore, 


Solving, we get P = 28.8 years; which is the present age of the son.

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Subject: Problems on Ages

10 9031
Q:

If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is ?

A) 1.44% loss B) 14.4% loss
C) 0% D) 14.4% profit
 
Answer & Explanation Answer: A) 1.44% loss

Explanation:

SP of each car is Rs. 325475, he gains 12% on first car and losses 12% on second car.
In this case, there will be loss and percentage of loss is given by

= [(profit%)(loss%)]/100 = (12)(12)/100 % = 1.44%

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Filed Under: Profit and Loss
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2 9027
Q:

Two trains namely X & Y leave station 'A' at 6.30am and 7.40am and travel at 30km/hr and 40 km/hr respectively. How many kms from 'A' will the trains meet ?

A) 140 kms B) 120 kms
C) 96 kms D) 142 kms
 
Answer & Explanation Answer: A) 140 kms

Explanation:

It is given train X leave station A at 6:30 am, here it is asked to calculate the distance from A when the trains meet, the
Distance traveled by train left at 6:30 am upto 7:40 am i.e. in 1 hr. 10 min. or 7/6 hours = 30 x 7/6 = 35 km
So train leaving at 7:40 am will meet first train after covering a distance of 35 km. with relative speed of 40-30=10 km/hr.
Hence time taken = 35/10 = 3.5 hours or 3 hours 30 minutes
So distance from A = Distance traveled by 2nd train in 3 hr. 30 min
= 40 x 3.5 = 140 km.

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Filed Under: Problems on Trains
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15 9008
Q:

Arun, Bharat and Chari started a business in a partnership with investment of Rs 12000, Rs 26000 and Rs 32000 respectively. After 4 months Arun leaves. After 6 months Bharat leaves and Arun joins with an amount equal to his earlier investment. After 10 months, Chari leaves and Bharat joins with his prior investment. At the end of the year they earn a profit of Rs 53622. Find the share of chari in the annual profit?

A) 16547 B) 17212
C) 14875 D) 27848
 
Answer & Explanation Answer: D) 27848

Explanation:
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Filed Under: Partnership
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10 9004
Q:

Each edge of a cube is increased by 20% then the percentage increase in surface area of the cube is : 

A) 144% B) 40%
C) 44% D) 72.8%
 
Answer & Explanation Answer: C) 44%

Explanation:

The surface area of a cube = 6a2 =  6 side2

 

New  Surface area = 6 x 1.44a2

 

Therefore, 0.44a2a2x100 = 44%

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Filed Under: Percentage
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13 8996
Q:

Hari Ram’s present age is three times his son’s present age and two fifth of his father’s present age. The average of the present age of all of them is 46 years. What is the difference between Hari Ram’s son’s present age and Hari Ram’s father’s present age? 

A) 44 yrs B) 56 yrs
C) 67 yrs D) 78 yrs
 
Answer & Explanation Answer: D) 78 yrs

Explanation:

Let Hari Ram's present age = x

Then, his son's age = x/3

Father's age = 5x/2

x + x3 + 52x3 = 46=> x = 36 yrs

Now the required difference = 52x36 - 363 = 78 yrs

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Filed Under: Problems on Ages
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11 8977
Q:

Anu's present age is 9 years more than that of what Raj's age will be after five years. Raj's present age is seven years more than that of what Renu's age was 4 years ago. Renu's present age is 19 years. What will be Anu's age after 5 years ?

A) 39 yrs B) 36 yrs
C) 46 yrs D) 41 yrs
 
Answer & Explanation Answer: D) 41 yrs

Explanation:

Anu = (Raj + 5) + 9

= Raj + 14 -------- (I)

Raj = (Renu - 4) + 7

= Renu + 3 ------- (II)

Raj's age = 19 + 3 = 22 years

After 5 years Anu's age = 22 + 14 + 5 = 41 years

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Filed Under: Problems on Ages
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9 8976