6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Which of the following statement(s) is/are CORRECT?

I. (√11 + √2) > (√8 + √5)

II. (√10 + √3) > (√7 + √6

A) Only I	B) Only II
C) Neither I nor II	D) Both I and II

Answer & Explanation Answer: C) Neither I nor II

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 3801

Q:

The true-discount on Rs.2480 due after a certain period at 5% is Rs.80. Find the due period.

A) 6months	B) 5months
C) 8months	D) 3months

Answer & Explanation Answer: C) 8months

Explanation:

P.W= Amount – (T.D)

Time = $\frac{100 \times T D}{P W \times R}$

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Filed Under: True Discount
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6 3800

Q:

Two cards are drawn at random from a well - shuffled pack of 52 cards. what is the probability that either both are red or both are queens?

A) 17/112	B) 55/221
C) 55/121	D) 33/221

Answer & Explanation Answer: B) 55/221

Explanation:

n(S) = ${}^{52}C_{2}$ = 1326

Let A = event of getting both red cards

and B = event of getting both queens

then $(A \cap B)$ = event of getting two red queens

n(A) = ${}^{26}C_{2}$ = 325, n(B) = ${}^{4}C_{2}$ = 6

$n (A \cap B) = {}^{2}C_{2} = 1$

$∴ P (A) = \frac{325}{1326}, P (B) = \frac{6}{1326}$

$P (A \cap B) = \frac{1}{1326}$

$∴$ P ( both red or both queens) = $P (A \cup B)$

= $P (A) + P (B) - P (A \cap B) =$ $\frac{325}{1326} + \frac{1}{221} - \frac{1}{1326}$ = $\frac{55}{221}$

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Filed Under: Probability

6 3795

Q:

If $a_{n} = \frac{1}{n + 1} + 1$ then find the value of $a_{1} + a_{3} + a_{5}$ .

A) 17/12	B) 27/12
C) 37/12	D) 47/12

Answer & Explanation Answer: D) 47/12

Explanation:

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

0 3784

Q:

If rupee two produces rupees eleven over a period of 30 years, find the rate of simple interest ?

A) 17.25 %	B) 18.14 %
C) 18.33 %	D) 17.35 %

Answer & Explanation Answer: C) 18.33 %

Explanation:

We know that I = PTR/100

11 = (2x30xR)/100

R = 18.333 %

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Filed Under: Simple Interest
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3 3784

Q:

Mary is 12 years younger to Pinky. After 3 years, the ratio of their ages will be 5:8. If the present age of Sam is the sum of ages of Mary and Pinky, then what was the age of Sam 15 years back ?

A) 31 years	B) 37 years
C) 46 years	D) 29 years

Answer & Explanation Answer: A) 31 years

Explanation:

Let the present age of Pinky be x years

Then the age of Mary is x - 12 years

After 3 years,

Ratio of $\frac{M a r y}{P i n k y} = \frac{x - 9}{x + 3} = \frac{5}{8}$

8x - 72 = 5x +15

=> 3x = 87

=> x = 29

=> Age of Pinky = 29 years

=> Age of Mary = 29 - 12 = 17 years

Present age of Sam = 29 + 17 = 46

Before 15 years Sam age = 46 - 15 = 31 years.

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Filed Under: Problems on Ages
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9 3782

Q:

$I f a = b^{x}, b = c^{y} a n d c = a^{z} t h e n t h e v a l u e o f x y z i s e q u a l t o :$

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

Answer & Explanation Answer: C) 1

Explanation:

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Filed Under: Logarithms

15 3780

Q:

Chennai express left Hyderabad for Chennai at 14 : 30 hours, travelling at a speed of 60 kmph and Charminar Express left Hyderabad for Chennai on the same day at 16 : 30 hours, travelling at a speed of 80 kmph. How far away from Hyderabad will the two trains meet?

A) 360 kms	B) 480 kms
C) 520 kms	D) 240 kms

Answer & Explanation Answer: B) 480 kms

Explanation:

Now, the distance covered by Chennai express in 2 hrs = 60 x 2 = 120 kms

Let the Charminar Express takes 't' hrs to catch Chennai express

=> 80 x t = 60 x (2 + t)

=> 80 t = 120 + 60t

=> t = 6 hrs

Therefore, the distance away from Hyderabad the two trains meet = 80 x 6 = 480 kms.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

10 3779

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