6500+ Quantitative Aptitude Questions and Answers With Explanation

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 3445

Q:

From well shuffled standard pack of 52 playing cards,one card is drawn. What is the probability that it is either a red card or black card?

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

Answer & Explanation Answer: C) 1

Explanation:

P(red cards)=26/52

P(black cards)=26/52

P(red or black cards)=26/52+26/52=1

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Q:

A sum of Rs. 2600 is lent out into two parts, one at 9% and another at 7% if the total annual income is Rs. 206, find the money lent at 7%.

A) Rs. 1400	B) Rs. 900
C) Rs. 1600	D) Rs. 1200

Answer & Explanation Answer: A) Rs. 1400

Explanation:

Money lent at 9% = x
Money lent at 7% = (2600 – x)
⇒ 9x/100 + (2600 – x) X 7 /100 = 206
⇒ 9x + 18200 – 7x = 20600
⇒ 2x = 2400
⇒ x = 1200
Money lent at 7% = 2600-1200 = 1400

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Filed Under: Percentage
Exam Prep: Bank Exams

0 3443

Q:

In an army selection process, the ratio of selected to unselected candidates was 6:1. If 30 less had applied and 10 less selected, the ratio of selected to unselected would have been 7:1. How many candidates had applied for the process?

A) 910	B) 1820
C) 455	D) 2730

Answer & Explanation Answer: A) 910

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT

6 3422

Q:

The value of

$\left [ \frac{2^{n}+2^{n-1}}{2^{n+1}-2^{n}} \right ]$ is:

Answer

$\frac{2^{n} + \frac{2^{n}}{2}}{2 x 2^{n} - 2^{n}} = \frac{2^{n} (1 + \frac{1}{2})}{2^{n} (2 - 1)} = \frac{3}{2}$

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Subject: Numbers Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

20 3421

Q:

Find the area of the trapezium, whose parallel sides are 12 cm and 10 cm, and distance between the parallel sides is 14 cm?

A) 121 sq.com	B) 154 sq.com
C) 186 sq.com	D) 164 sq.com

Answer & Explanation Answer: B) 154 sq.com

Explanation:

We know that,

Area of trapezium = 1/2 x (Sum of parallel sides) x (Distance between Parallel sides)

= 1/2 x (12 + 10) x 14

= 22 x 14/2

= 22 x 7

= 154 sq. cm

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

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Q:

In $∆ PQR$ , straight line parallel to the base QR cuts PQ at X and PR at Y. If PX:XQ = 5:6, then the XY:QR will be

A) 5:11	B) 6:5
C) 11:6	D) 11:5

Answer & Explanation Answer: A) 5:11

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams
Job Role: Bank Clerk

1 3419

Q:

For a nominal interest rate of 8.4%, what is the compounding frequency if the periodic interest rate is:0.7

A) 9	B) 10
C) 11	D) 12

Quantitative Aptitude - Arithmetic Ability Questions

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