6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A dishonest shopkeeper professes to sell his groceries at his cost price but uses a false weight of 900 grams for each kilogram. Find his gain percentage.

A) 91/9 %	B) 100/9%
C) 100/11 %	D) 95/9%

Answer & Explanation Answer: B) 100/9%

Explanation:

Shopkeeper sells at CP using weight of 900 gm instead of1 kg

So, 1000gm –900 gm = 100gm

⇒100/900 X 100

⇒100/9 %

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

5 8468

Q:

On a ruler's tombstone, it is said that one sixth of his life was spent in childhood and one twelfth as a teenager. One seventh of his life passed between the time he became an adult and the time he married; five years later, his son was born. Alas, the son died four years before he did. He lived to be twice as old as his son did. How old did the ruler live to be ?

A) 84 years	B) 72 years
C) 82 years	D) 64 years

Answer & Explanation Answer: A) 84 years

Explanation:

Let the age of ruler is x so that of son = x/2 (given)
Now according to the given condition
(x/6) + (x/12) + (x/7) + 5 + (x/2) + 4 = x
=> x = 84

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

6 8468

Q:

From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was:

A) 75 litres	B) 100 litres
C) 150 litres	D) 120 litres

Answer & Explanation Answer: D) 120 litres

Explanation:

$\frac{w i n e (l e f t)}{w i n e (a d d e d)} = \frac{343}{169}$

It means $\frac{w i n e (l e f t)}{w i n e (i n i t i a l a m o u n t)} = \frac{343}{512}$ (since 343 + 169 = 512)

Thus, $343 x = 512 x {(1 - \frac{15}{k})}^{3}$

$\frac{343}{512} = {(\frac{7}{8})}^{3} = {(1 - \frac{15}{k})}^{3}$

$(1 - \frac{15}{k}) = \frac{7}{8} = (1 - \frac{1}{8})$

Thus the initial amount of wine was 120 liters.

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Filed Under: Alligation or Mixture
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

29 8466

Q:

The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.100 and Rs.80 respectively. What is the sum and the time?

A) Sum = Rs.400 and Time = 5 years	B) Sum = Rs.200 and Time = 2.5 years
C) Sum = Rs.400 and Time = 2.5 years	D) Sum = Rs.200 and Time = 5 years

Answer & Explanation Answer: C) Sum = Rs.400 and Time = 2.5 years

Explanation:

BD = Rs.100

TD = Rs.80

R = 10%

$F = \frac{B D \times T D}{B D - T D} = \frac{100 \times 80}{100 - 80} = R s . 400$

BD = Simple interest on the face value of the bill for unexpired time= FTR/100

$\Rightarrow 100 = \frac{400 \times T \times 10}{100}$

=> T = 2.5 years

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Filed Under: Banker's Discount

4 8464

Q:

In what time will Rs.1000 become Rs.1331 at 10% per annum compounded annually?

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

Answer & Explanation Answer: B) 3years

Explanation:

Principal = Rs.1000;

Amount = Rs.1331;

Rate = Rs.10%p.a.

Let the time be n years.Then

[1000(1+10/100)Λn;]

= 1331.

= (1331/1000)

= (11/10)³

Therefore n = 3 years.

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

3 8458

Q:

If 25a + 25b = 115, then what is the average of a and b?

A) 4.6	B) 3.4
C) 2.5	D) None of these

Answer & Explanation Answer: D) None of these

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO

55 8453

Q:

One third of a Number is 96. What will 67% of that Number be?

A) 192.96	B) 181.44
C) 169.92	D) 204.48

Answer & Explanation Answer: A) 192.96

Explanation:

Let the Number be x.

Given that one third of a Number is 96.

i.e x = 3 x 96 = 288.

67% of x = $\frac{x \times 67}{100} = \frac{288 \times 67}{100} = 192.96$

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO

3 8427

Q:

The average monthly salary of 24 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 400. What is the manager's monthly salary ?

A) Rs. 8840	B) Rs. 11,500
C) Rs. 12,800	D) Rs. 9450

Answer & Explanation Answer: B) Rs. 11,500

Explanation:

Manager's monthly salary

= Rs. (1900 x 25 - 1500 x 24) = Rs. 11,500

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

11 8420

Quantitative Aptitude - Arithmetic Ability Questions

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