6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In a bag, there are 8 red, 7 blue and 6 green flowers. One of the flower is picked up randomly. What is the probability that it is neither red nor green ?

$A) \frac{1}{3}$

$B) \frac{8}{21}$

$C) \frac{6}{21}$

$D) \frac{20}{21}$

A) Option A	B) Option B
C) Option C	D) Option D

Answer & Explanation Answer: A) Option A

Explanation:

Total number of flowers = (8+7+6) = 21.

Let E = event that the flower drawn is neither red nor green.

= event taht the flower drawn is blue.

--> n(E)= 7

--> P(E)= $\frac{7}{21}$ = $\frac{1}{3}$

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

8 3302

Q:

One card is drawn from deck of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the ball drawn is red.

A) 1/3	B) 1/2
C) 1/4	D) 1/6

Answer & Explanation Answer: B) 1/2

Explanation:

Total number of elementary events = 52

There are 26 red cards,out of which one red card can be drawn in $26 C_{1}$ ways =26.

So,required probability = 26/52 = 1/2

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Filed Under: Probability

3 3299

Q:

If $x = 2 + 2^{\frac{2}{3}} + 2^{\frac{1}{3}}$ then find the value of $x^{3} - 6 x^{2} + 6 x$ ?

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: B) 2

Explanation:

Given that $x = 2 + 2^{\frac{2}{3}} + 2^{\frac{1}{3}}$

So x - 2 = $2^{\frac{2}{3}} + 2^{\frac{1}{3}}$

Now cubing on both sides, we get

=> $x^{3} - 8 - 6 x^{2} + 12 x = 4 + 2 + 6 (x - 2)$

Therefore, $x^{3} - 6 x^{2} + 6 x = - 6 + 8 = 2$

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

11 3297

Q:

5 + 2 x 10/2 = ?

A) 15	B) 35
C) 10	D) 20

Answer & Explanation Answer: A) 15

Explanation:

Using BODMAS Rule,

First solve division, mutiplication and Addition

So here 10/2 = 5

Then 2 x 5 = 10

Now, 5 + 10 = 15.

Hence, 5 + 2 x 10/2 = 15.

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

5 3297

Q:

P starts a business with Rs 14000. After 8 months Q joins P with Rs 8000. After 3 years, what will be the ratio of the profit of P and Q?

A) 12 : 5	B) 9 : 4
C) 14 : 9	D) 15 : 8

Answer & Explanation Answer: B) 9 : 4

Explanation:

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Filed Under: Partnership
Exam Prep: Bank Exams

6 3296

Q:

If cost price of an article is 75% of its selling price, then what will be the profit percentage?

A) 23.47	B) 25
C) 33.33	D) 20

Answer & Explanation Answer: C) 33.33

Explanation:

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

7 3292

Q:

The average of 50 consecutive natural numbers is x. What will be the are average when the next four natural numbers are also included?

A) x + 1	B) x + 2
C) x + 4	D) x + (x/54)

Answer & Explanation Answer: B) x + 2

Explanation:

Sum of n consecutive natural numbers = n(n+1)/2

Average of n consecutive natural numbers = (n+1)/2

For first 50 average = 51/2 = x

Last 50 average = 55/2 = x+2

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Filed Under: Average
Exam Prep: Bank Exams

2 3289

Q:

If 1st January 2013 was Wednesday, then what day of the week was it on 2nd January 2014?

A) Wednesday	B) Thursday
C) Tuesday	D) Friday

Quantitative Aptitude - Arithmetic Ability Questions

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