6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is:

A) Rs. 408	B) Rs. 204
C) Rs. 412	D) Rs. 220

Answer & Explanation Answer: B) Rs. 204

Explanation:

Given ratio = 1/2:2/3:3/4 = 6:8:9

1st part = 782 x 6/23 = Rs. 204.

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Filed Under: Ratios and Proportions
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10 9538

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 9531

Q:

A Rent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:

A) 5%	B) 7%
C) 7.5%	D) 10%

Answer & Explanation Answer: D) 10%

Explanation:

Let the rate be R% p.a.

Then, $\frac{5000 \times r \times 2}{100} + \frac{3000 \times r \times 4}{100} = 2200$

Rate = 10%

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

9 9529

Q:

A retailer buys product from a shopkeeper at discount of 40% on the list price (marked price) and sells them to the customer at a discount of 25% on the list price.What is his profit percentage ?

A) 10%	B) 15%
C) 20%	D) 25%

Answer & Explanation Answer: D) 25%

Explanation:

Let the list price be Rs.100.

Therefore, the retailer is buying the products at Rs.60 and selling it to the customer at Rs.75, earning a profit of Rs.15.

Therefore, his percentage is = $\frac{15}{60} x 100$ = 25%

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Filed Under: Profit and Loss
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17 9516

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

$\frac{x + \frac{x}{3} + \frac{5}{2} x}{3} = 46 = > x = 36 yrs$

Now the required difference = $\frac{5}{2} x 36 - \frac{36}{3} = 78 yrs$

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Filed Under: Problems on Ages
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11 9510

Q:

Pipe K fills a tank in 30 minutes. Pipe L can fill the same tank 5 times as fast as pipe K. If both the pipes were kept open when the tank is empty, how much time will it take for the tank to overflow ?

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

Answer & Explanation Answer: D) 5 minutes

Explanation:

Let the total capacity of tank be 90 liters.
Capacity of tank filled in 1 minute by K = 3 liters.
Capacity of tank filled in 1 minute by L = 15 liters.
Therefore, capacity of the tank filled by both K and L in 1 minute = 18 liters.
Hence, time taken by both the pipes to overflow the tank = 90/18 = 5 minutes.

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Filed Under: Pipes and Cistern
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11 9505

Q:

P alone can do a piece of work in 24 days. The time taken by P to complete one-third of work is equal to time taken by Q to complete half of the work. How many days are required to complete by P and Q working together ?

A) 9 3/5 days	B) 7 days
C) 6 3/7 days	D) 8 days

Answer & Explanation Answer: A) 9 3/5 days

Explanation:

Let the total work be 'W'

As per the given information,

P can complete the work 'W' in 24 days.

=> one day work of P = W/24

And also given that,

The time taken by P to complete one-third of work is equal to time taken by Q to complete half of the work

=> PW/3 = QW/2

=> P's

1 day = W/24

? = W/3

=> ? = 24W/3W = 8

=> QW/2 = 8 days

=> Q alone can complete the work W in 16 days

=> P + Q can complete the work in

1/24 + 1/16 = 5/48

=> 48/5 days = 9 3/5 days.

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Filed Under: Time and Work
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18 9504

Q:

In an election, there were two candidates only. The candidate who got 62% of the total votes polled and was elected by a majority of 192 votes. The total number of votes polled was?

Answer

Suppose total votes polled is x

$\inline \Rightarrow$ $\inline \frac{62x}{100}=\frac{38x}{100}+192$