6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

5 years ago, the mother's age was 3 times of her son's age. 5 years hence, the ratio between the ages of mother and the son becomes 11:5. Find the mother's present age?

Answer

Let the present age's of mother be 'M' and that of her son be 'S'.

According to the given data in the question,

M - 5 = 3(S - 5)

F - 3S = -10 ...............(1)

Then given ,

M + 5 : S + 5 = 11 : 5

=> 5M - 11S = 30 ..............(2)

From (1) & (2), we get

S = 20

Then by substituting S = 20 in (1) or (2), we get

M = 50.

Hence, the present age of mother is M = 50 years.

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Subject: Problems on Ages Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

7 4988

Q:

Value of vehicle at end of each year depreciates at the rate of 3/5th of value at the beginning. If Initial value is 10,000Rs then at the end of three years its value is ?

A) Rs. 6000	B) Rs. 3600
C) Rs. 2160	D) Rs. 415

Answer & Explanation Answer: C) Rs. 2160

Explanation:

End of first year : 10000 x (3/5) = Rs. 6000
End of second year : 6000 x (3/5) = Rs. 3600
End of third year : 3600 x (3/5) = Rs. 2160

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

2 4986

Q:

P can do a piece of work in 5 less days than Q. If both of them can do the same work in $11 \frac{1}{9}$ days, in how many days will Q alone do the same work ?

A) 24 days	B) 25 days
C) 20 days	D) 19 days

Answer & Explanation Answer: B) 25 days

Explanation:

Let Q complete that work in 'L' days

=> $\frac{1}{L} + \frac{1}{L - 5} = \frac{9}{100}$

=> $9 L^{2} - 245 L + 500 = 0$

L = 25 days.

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Filed Under: Time and Work
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

11 4978

Q:

A certain amount earns simple interest of Rs. 2260 after 3 years. Had the interest been 1 % more how much more interest would it have earned ?

A) Rs. 175	B) Rs. 220.75
C) Rs. 126	D) Can't be determined

Answer & Explanation Answer: D) Can't be determined

Explanation:

Here given Interest earned = Rs. 2260

Time = 3 years

Rate of interest = ?

Principal Amount = ?

So, it can't be determined.

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

18 4962

Q:

It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?

A) Sunday	B) Saturday
C) Friday	D) Wednesday

Answer & Explanation Answer: C) Friday

Explanation:

On 31st December, 2005 it was Saturday.

Number of Odd days from the year 2006 to the year 2009 = (1+1+2+1)=5 days.

$\therefore$ On 31st december 2009, It was Thursday

Thus, on 1st Jan, 2010 it is Friday.

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Filed Under: Calendar

6 4959

Q:

$\frac{\frac{7}{2} \div \frac{5}{2} \times \frac{3}{2}}{\frac{7}{2} \div \frac{5}{2} o f \frac{3}{2}} \div 5.25$

A) 3/5	B) 3/6
C) 3/7	D) 3/8

Answer & Explanation Answer: C) 3/7

Explanation:

$\frac{\frac{7}{5} x \frac{3}{2}}{\frac{14}{15}} \div \frac{525}{100} \frac{9}{4} \div \frac{525}{100} \frac{900}{2100} = \frac{3}{7}$

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

1 4959

Q:

How long will it take $3000 to earn $60 interest at 6%?

A) 2months	B) 3months
C) 4months	D) 5months

Answer & Explanation Answer: C) 4months

Explanation:

t=I/pr

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Filed Under: Simple Interest
Exam Prep: Bank Exams
Job Role: Bank PO

3 4953

Q:

The population of a rural region is expected to fall by 2% per year for the next 10 years. If the region’s current population is 100,000, what is the expected population 10 years from now?

A) 81707	B) 91707
C) 61707	D) 71707

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