6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A card is drawn from a pack of 52 cards. The card is drawn at random. What is the probability that it is neither a spade nor a Jack?

A) 9/13	B) 4/13
C) 10/13	D) 8/13

Answer & Explanation Answer: A) 9/13

Explanation:

There are 13 spade and 3 more jack

Probability of getting spade or a jack:
=13+352=1652=413

So probability of getting neither spade nor a jack:
=1−413 = 9/13

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Filed Under: Probability

7 5559

Q:

What is the difference between the compound interests on Rs. 5000 for $1 \frac{1}{2}$ years at 4% per annum compounded yearly and half-yearly?

A) Rs.3.06	B) Rs.2.04
C) Rs.3.65	D) Rs.5.40

Answer & Explanation Answer: B) Rs.2.04

Explanation:

C.I. when interest compounded yearly

$R s . [5000 * (1 + \frac{4}{100}) * (1 + \frac{\frac{1}{2} * 4}{100})]$

$R s . [5000 * \frac{26}{25} * \frac{51}{50}]$

=Rs.5034

C.I. when interest iscompounded half-yearly

$R s . [5000 * {(1 + \frac{2}{100})}^{3}]$

= Rs. 5306.04

Difference = Rs. (5306.04 - 5304) = Rs. 2.04

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Filed Under: Compound Interest
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1 5557

Q:

One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn find the probability the card drawn is red.

A) 2/3	B) 1/2
C) 1/52	D) 13/51

Answer & Explanation Answer: B) 1/2

Explanation:

We know that:

When one card is drawn from a pack of 52 cards

The numbers of possible outcomes n(s) = 52

We know that there are 26 red cards in the pack of 52 cards
⇒ The numbers of favorable outcomes n(E) = 26

Probability of occurrence of an event: P(E)=Number of favorable outcomes/Numeber of possible outcomes=n(E)/n(S)

∴ required probability = 26/52 = 1/2.

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Filed Under: Probability
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10 5541

Q:

A mother can do a certain job in x hours. Her daughter takes twice as long to do the job. Working together, they can do the job in 6 hours. How many hours does the mother take to do the job ?

A) 3	B) 6
C) 9	D) 12

Answer & Explanation Answer: C) 9

Explanation:

The mother completes the job in x hours.
So, the daughter will take 2x hours to complete the same job.

In an hour, the mother will complete 1/x of the total job.
In an hour, the daughter will complete 1/2x of the total job.

So, if the mother and daughter work together, in an hour they will complete 1/x + 1/2x of the job.
i.e., in an hour they will complete 3/2x of the job.

The question states that they complete the entire task in 6 hours if they work together.
i.e., they complete 1/6 th of the task in an hour.

Equating the two information, we get 3/2x = 1/6
By solving for x, we get 2x = 18 or x = 9.

The mother takes 9 hours to complete the job.

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Filed Under: Time and Work
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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8 5537

Q:

In a slip test, K got the 15th rank and he was 44th from the bottom of the list of passed students. 4 students did not take up the slip test and 3 students were failed. What is the total strenght of the class ?

A) 63	B) 62
C) 64	D) 65

Answer & Explanation Answer: D) 65

Explanation:

Total strength of the class is given by

15 + 44 + 4 + 3 - 1 = 65

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Filed Under: Simplification
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9 5534

Q:

Find the sum of the all the numbers formed by the digits 2,4,6 and 8 without repetition. Number may be of any of the form like 2,24,684,4862 ?

A) 133345	B) 147320
C) 13320	D) 145874

Answer & Explanation Answer: B) 147320

Explanation:

Sum of 4 digit numbers = (2+4+6+8) x $P_{3}^{3}$ x (1111) = 20 x 6 x 1111 = 133320

Sum of 3 digit numbers = (2+4+6+8) x $P_{2}^{3}$ x (111) = 20 x 6 x 111 = 13320

Sum of 2 digit numbers = (2+4+6+8) x $P_{1}^{3}$ x (11) = 20 x 3 x 11 = 660

Sum of 1 digit numbers = (2+4+6+8) x $P_{0}^{3}$ x (1) = 20 x 1 x 1 = 20

Adding All , Sum = 147320

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Filed Under: Permutations and Combinations
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2 5517

Q:

A jeep travels a certain distance taking 6 hrs in forward journey, during the return journey increased speed 12km/hr takes the times 4 hrs. What is the distance travelled by the jeep is ?

A) 244 km	B) 144 km
C) 444 km	D) 344 km

Answer & Explanation Answer: B) 144 km

Explanation:

Given a jeep travels a certain distance taking 6 hrs in forward journey
During the return journey, it takes 4 hrs with an increased speed 12 km/hr
Let 'x' be the distance.
Now, speed is given by distance/time.
Here the difference between both speeds = 12

$\frac{x}{4} - \frac{x}{6} = 12$

$\frac{3 x - 2 x}{12} = 12$

=> x = 144 km

Therefore, the distance travelled by the jeep in forward or return journey is x = 144 km.

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Filed Under: Time and Distance
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3 5515

Q:

The age of Manisha and Sudeshna are in the ratio of 5 : 6 respectively. After 8 years the ratio of their ages will be 7 : 8. What is the difference of their ages ?

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

Answer & Explanation Answer: B) 4

Explanation:

Let the age of Manisha and Sudeshna is 5x and 6x years respectively.

According to the given data,

5x+8/6x+8 = 7/8

42x + 56 = 40x + 64

x = 4

Required Difference of their ages = (6 × 4) – (5 × 4)

= 4 years.

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Filed Under: Problems on Ages
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8 5514

Quantitative Aptitude - Arithmetic Ability Questions

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