Quantitative Aptitude - Arithmetic Ability Questions

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 9472
Q:

Find the cash realised by selling Rs. 2440, 9.5% stock at 4 discount (brokerage 1/4 %)

A) 2000 B) 2298
C) 2290 D) 2289
 
Answer & Explanation Answer: B) 2298

Explanation:

By selling Rs. 100 stock , cash realised = Rs.100-4-14=Rs.3834  

 

By selling Rs. 2400 stock, cash realised =Rs.3834*1100*2400 = Rs 2298.

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Filed Under: Stocks and Shares

12 9466
Q:

There are 10 Letters and 10 correspondingly 10 different Address. If the letter are put into envelope randomly, then find the Probability that Exactly 9 letters will at the Correct Address ?

A) 1/10 B) 1/9
C) 1 D) 0
 
Answer & Explanation Answer: D) 0

Explanation:

As we know we have 10 letter and 10 different address and one more information given that exactly 9 letter will at the correct address....so the remaining one letter automatically reach to their correct address
P(E) = favorable outcomes /total outcomes
Here favorable outcomes are '0'.
So probability is '0'.

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Filed Under: Probability
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

5 9466
Q:

Ifab=45andbc=1516, then c2-a2c2+a2 is :

A) 7/5 B) 7/25
C) 7/125 D) 7
 
Answer & Explanation Answer: B) 7/25

Explanation:

ab×bc=45×1516=34=16-916+9

 

=725

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Filed Under: Simplification

7 9464
Q:

A sum of money invested at simpleinterest triples itself in 8 years. How many times will it become in 20 years time?

A) 8 times B) 7 times
C) 6 times D) 9 times
 
Answer & Explanation Answer: C) 6 times

Explanation:

A = P(1 + rt/100)

So, A= 3P (it becomes triples)

3P = P(1 + 8r/100)→r = 25%

Now, when t = 20

⇒A = P(1 + 25*20/100)

⇒A = P(1+ 5)⇒A = 6P

So, it becomes 6 times.

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Filed Under: Simple Interest
Exam Prep: Bank Exams

12 9458
Q:

A man walked diagonally across a square plot. Approximately what was the percent saved by not walking along the edges?

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

Explanation:

let the side of the square be x meters
length of two sides = 2x meters
diagonal = 2x= 1.414x m

 

saving on 2x meters = .59x m

 

saving % = 0.59x2x*100%

 

= 30% (approx)

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

2 9450
Q:

Find the least number with which 16200 should be multiplied, to make it a perfect cube ?

A) 45 B) 48
C) 360 D) 36
 
Answer & Explanation Answer: A) 45

Explanation:

16200 = 23×34×52

 

A perfect cube has a property of having the indices of all its prime factors divisible by 3.

 

Required number = 32×5 = 9x5 = 45.

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Filed Under: Problems on Numbers
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

6 9442
Q:

Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 cm x 6 m when 10% of its volume is occupied by mortar  ?

A) 720 B) 600
C) 660 D) 6000
 
Answer & Explanation Answer: A) 720

Explanation:

Let the number of bricks be 'N'

10 x 4/100 x 6 x 90/100 = 25/100 x 15/100 x 8/100 x N

10 x 4 x 6 x 90 = 15 x 2 x N => N = 720.

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Filed Under: Area
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

6 9440