6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A trader marked the price of the T.V. 30% above the cost price of the T.V. and gave the purchaser 10% discount on the marked price, thereby gaining Rs.340. Find the cost price of the T.V ?

A) Rs. 2000	B) Rs. 1600
C) Rs. 2200	D) Rs. 2100

Answer & Explanation Answer: A) Rs. 2000

Explanation:

Let 'x' be the cost price.
Now Marked price = x + 30x/100 = 13x/10
10% discount = 10/100 x 13x/10 = 13x/100
Selling price = 13x/10 - 13x/100 = 117x/100
Given gain = 340
Here gain = 117x/100 - x = 17x/100 = 340 => x = Rs. 2000.

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

13 11902

Q:

Arjun and Bhishma are running on a circular track of length 600m. Speed of Arjun is 30 m/s and that of Bhishma is 20 m/s .They start fro the same point at the same time in the same direction. When will they meet again for the first time?

Answer

Sol : $Time = \frac{Circumference}{Relative Speed} = \frac{600}{10} = 60 \sec .$

Actually Arjun has to make a lead of 600 m, because when Arjun will be 600m ahead of Bhishma, they will be together again as a person when completes the total length it starts retracing he same path and thus Arjun and Bhishma can be together again.

Since , they make a difference of 10 m in 1 second. so, he will create 600m difference in 60 second.

Workspace

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Subject: Time and Distance Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

14 11888

Q:

A bag contains 8 red and 4 green balls. Find the probability that two balls are red and one ball is green when three balls are drawn at random.

A) 56/99	B) 112/495
C) 78/495	D) None of these

Answer & Explanation Answer: B) 112/495

Explanation:

$n (S) = {}^{12}C_{4} = 495$

$n (E) = {}^{8}C_{2} \times {}^{4}C_{1} = 112$

$∴ P (E) = \frac{112}{495}$

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Filed Under: Probability

14 11873

Q:

Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip?

A) 10	B) 8
C) 6	D) 4

Answer & Explanation Answer: B) 8

Explanation:

Amy can travel clockwise or anticlockwise on the diagram.

Clockwise, she has no choice of route from A to B, a choice of one out of two routes from B to C, and a choice of one out of two routes from C back to A. This gives four possible routes.

Similarly, anticlockwise she has four different routes.

Total routes = 8

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Filed Under: Time and Distance
Exam Prep: GRE

31 11865

Q:

Rajeev start a business with Rs. 10000, Deepu joins him after 2 month with 20% more investment than Rajeev, after 2 month Shakti joins him with 40% less than Deepu. If the profit earned by them at the end of the year is equal to the twice of the difference between investment of Rajeev and ten times the investment of Shakti. Find the profit of Rajeev ?

A) 50000	B) 48000
C) 38000	D) 40000

Answer & Explanation Answer: C) 38000

Explanation:

Here from the given information,

The ratio of investments of Rajeev, Deepu & Shakti is

R : D : S = (10000 × 12) : (12000 × 10) : (7200 × 8)

= 25 : 25 : 12

Now the Profit = 2 × (72000-10000) = 124000

Share of Rajeev = 124000 x 25/62 = 48000

Profit of Rajeev = 48000 - 10000 = 38000

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Filed Under: Partnership
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Job Role: Bank Clerk , Bank PO

21 11864

Q:

What should come in place of x in the following equation?

$\frac{x}{\sqrt{128}} = \frac{\sqrt{162}}{x}$

A) 13	B) 12
C) 17	D) 16

Answer & Explanation Answer: B) 12

Explanation:

$\frac{x}{\sqrt{128}} = \frac{\sqrt{162}}{x}$

Then x² = $\sqrt{162} x \sqrt{128}$

= Sqrt of 8² x 6² x 3²

= 8 x 6 x 3

x² = 144.

x = 12.

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Filed Under: Square Roots and Cube Roots
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

8 11862

Q:

How many $\frac{1}{8}$ ' s are there in $37 \frac{1}{2}$ ?

A) 300	B) 400
C) 500	D) 600

Answer & Explanation Answer: A) 300

Explanation:

$37 \frac{1}{2} = \frac{75}{2}$

Required number = $\frac{\frac{75}{2}}{\frac{1}{8}}$ = 75 x 4 = 300

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT
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23 11854

Q:

Suppose you want to arrange your English, Hindi, Mathematics, History, Geography and Science books on a shelf. In how many ways can you do it?

A) 360	B) 780
C) 720	D) 240

Answer & Explanation Answer: C) 720

Explanation:

We have to arrange 6 books.

The number of permutations of n objects is n! = n. (n – 1) . (n – 2) ... 2.1

Here n = 6 and therefore, number of permutations is 6.5.4.3.2.1 = 720

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Filed Under: Permutations and Combinations

8 11826

Quantitative Aptitude - Arithmetic Ability Questions

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