6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

How many seconds will a 800 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?

A) 48	B) 52
C) 38	D) 42

Answer & Explanation Answer: A) 48

Explanation:

Here distance d = 800 mts

speed s = 63 - 3 = 60 kmph = 60 x 5/18 m/s

time t = $\frac{800 x 18}{60 x 5}$ = 48 sec.

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Filed Under: Time and Distance
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3 5618

Q:

A man reads 3/7 of a book on a day and 2/5 of the remaining, on the second day. If the number of pages still unread are 36, how many pages did the book contain ?

A) 105	B) 101
C) 98	D) 109

Answer & Explanation Answer: A) 105

Explanation:

Let number of pages in a book = p

According to questions

p - [3p/7 + (2/5 x 4p/7)] = 36

= p - 23p/35 = 36

=> 12p = 36 × 35

p = 105

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Filed Under: Percentage
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10 5603

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
Exam Prep: Bank Exams
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1 5599

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 5599

Q:

If a, b, c be the $p^{t h}, q^{t h} a n d r^{t h}$ terms of a GP then the value of (q-r) log a + (r-p) log b + (p-q) log c is :

A) 0	B) 1
C) -1	D) pqr

Answer & Explanation Answer: A) 0

Explanation:

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Filed Under: Logarithms
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13 5597

Q:

The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age og the youngest child ?

A) 8 yrs	B) 16 yrs
C) 6 yrs	D) 4 yrs

Answer & Explanation Answer: D) 4 yrs

Explanation:

Let the age of the youngest child is 'X' years.
Then the child elder than the yongest is 'X + 3' yrs
Since each have 3yrs difference upto 5 children
And given that
=> X + X+3 + X+6 + X+9 + X+12 = 50
=> 5X + 30 = 50
=> X = 4 yrs.

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Filed Under: Problems on Ages
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5 5595

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 5586

Q:

There are 3 bags, in 1st there are 9 Mangoes, in 2nd 8 apples & in 3rd 6 bananas. There are how many ways you can buy one fruit if all the mangoes are identical, all the apples are identical, & also all the Bananas are identical ?

A) 23	B) 432
C) 22	D) 431

Answer & Explanation Answer: A) 23

Explanation:

As in this problem , buying any fruit is different case , as buying apple is independent from buying banana. so ADDITION rule will be used.

${}^{9}C_{1} + {}^{8}C_{1} + {}^{6}C_{1}$ = 23 will be answer.

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Filed Under: Permutations and Combinations
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2 5564

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