Quantitative Aptitude - Arithmetic Ability Questions

Q:

The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2. Find their incomes  ?

A) 200, 400 B) 100, 300
C) 100, 200 D) 150, 200
 
Answer & Explanation Answer: D) 150, 200

Explanation:

The incomes of A and B be 3P and 4P.

Expenditures = Income - Savings

(3P - 100) and (4P - 100)

The ratio of their expenditure = 1:2

(3P - 100):(4P - 100) = 1:2

2P = 100 => P = 50

Their incomes = 150, 200

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Filed Under: Ratios and Proportions
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Q:

One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?

A) 24 B) 20
C) 26 D) 34
 
Answer & Explanation Answer: B) 20

Explanation:

The maximum area of the triangle will come when the given sides are placed at right angles. If we take 8 as the base and 5 as the height the area = ½ x 8 x 5=20

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Filed Under: Volume and Surface Area
Exam Prep: GRE

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Q:

If a trader sold two cars each at Rs. 404415 and gains 15% on the first and loses 15% on the second, then his profit or loss percent on the whole is ?

A) 1.44 % B) 2.02 %
C) 1.04 % D) 2.25 %
 
Answer & Explanation Answer: D) 2.25 %

Explanation:

SP of each car is Rs. 404415, he gains 15% on first car and losses 15% on second car.

In this case, there will be loss and percentage of loss is given by = [(profit%)(loss%)]/100
= (15)(15)/100 % = 2.25%
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Filed Under: Profit and Loss
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Q:

The difference between 4632 and 20000 is what number

A) 15368 B) 12652
C) 14562 D) 14965
 
Answer & Explanation Answer: A) 15368

Explanation:

The difference between 4632 and 20000 is given by subtracting smaler number from the bigger number.

Here the bigger number is 20000

Smaller number is 4632

Now, subtracting 4632 from 20000

20000 - 4632 = 15368 and the resut is an even number.

 

Hence, The difference between 4632 and 20000 is 15368 and is an even number.

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Filed Under: Problems on Numbers
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Q:

A boat takes 2 hours to travel from point A to B in still water. To find out its speed upstream, which of the following information is/are required?

A. Distance between point A and B.

B. Time taken to travel downstream from B to A.

C. Speed of the stream of water.

A) Only A and B B) Only B and C
C) All are required D) Any one pair of A and B, B and C or C and A is sufficient
 
Answer & Explanation Answer: D) Any one pair of A and B, B and C or C and A is sufficient

Explanation:

Let distance between A & B = d km
Let speed in still water = x kmph
Let speed of current = y kmph

from the given data,
d/x = 2

From A) we get d
From B) we get d/x+y
From C) we get y

 

So, Any one pair of A and B, B and C or C and A is sufficient to give the answer i.e, the speed of upstream.

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Filed Under: Boats and Streams
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Q:

A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is ?

A) 11 B) 7
C) 9 D) 13
 
Answer & Explanation Answer: C) 9

Explanation:

Here the number of cogs is inveresly proportional to number of revolutions

=> More cogs less revolution
=> 6 : 14 :: x : 21
=> (21x6)/14 = 9

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Filed Under: Ratios and Proportions
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Q:

The ratio between the number of sheep and the number of horses at the Stewar farm is 4 to 15. If each of horse is fed 110 ounces of horse food per day and the farm needs a total 13200 ounces of horse food per day. what is number sheep in the form ?

A) 32 B) 36
C) 44 D) 52
 
Answer & Explanation Answer: A) 32

Explanation:

Given ratio of number of sheep and horses = 4 : 15
Let number of sheep and horses are 4k and 15k
Number of horses = 13200/110 = 120
Now 15K = 120 and k = 8
Number of sheep = 4k = (4 x 8) = 32

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Q:

8 years ago Ramana's mother was five times older than her daughter. After 8 years the mother will be twice older than her daughter. Find the present age of Ramana?

Answer

Let Ramana's age 8 years ago be x years and mother's age 8 years ago be 5x


2(x + 16) = 5x + 16


2x + 32 = 5x + 16


3x = 16 


  years


Hence, Present age of Ramana =  years

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Subject: Problems on Ages

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