6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The LCM of 15, 18 and 24 is

A) 360	B) 6
C) 3	D) 540

Answer & Explanation Answer: A) 360

Explanation:

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Filed Under: HCF and LCM
Exam Prep: Bank Exams

7 14238

Q:

Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?

A) 16/19	B) 1
C) 3/2	D) 17/20

Answer & Explanation Answer: D) 17/20

Explanation:

n(S) = 20
n(Even no) = 10 = n(E)
n(Prime no) = 8 = n(P)
P(E U P) = 10/20 + 8/20 - 1/20 = 17/20

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Filed Under: Probability
Exam Prep: Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

15 14223

Q:

Find the odd one out of the following options.

A) Sapphire	B) Ruby
C) Topaz	D) Granite

Answer & Explanation Answer: D) Granite

Explanation:

Except Granite all other options belong to the group of precious stones.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GRE , TOEFL
Job Role: Bank Clerk , Bank PO

33 14218

Q:

If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time ?

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

Answer & Explanation Answer: D) 2:1

Explanation:

5M + 2B = 4(1M + 1B)

5M + 2B = 4M + 4B

1M = 2B

The required ratio of work done by a man and a boy = 2:1

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Filed Under: Time and Work
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8 14204

Q:

A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m , then the altitude of the triangle is

A) 200m	B) 300m
C) 400m	D) 100m

Answer & Explanation Answer: A) 200m

Explanation:

Let the triangle and parallelogram have common base b,

let the Altitude of triangle is h1 and of parallelogram is h2(which is equal to 100 m), then

Area of triangle = $\frac{1}{2} \times b \times h 1$

Area of rectangle = b*h2

As per Given,

$\frac{1}{2} * b * h 1 = b * h 2$

$\frac{1}{2} * b * h 1 = b * 100$

h1=200

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

13 14187

Q:

Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a girl sitting at window seat in the slower train in 32 seconds. Find the length of the faster train ?

A) 170 m	B) 100 m
C) 270 m	D) 320 m

Answer & Explanation Answer: D) 320 m

Explanation:

Relative speed = (72 - 36) x 5/18 = 2 x 5 = 10 mps.
Distance covered in 32 sec = 32 x 10 = 320 m.

The length of the faster train = 320 m.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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11 14185

Q:

In a 40 litre mixture of alcohol & water, the ratio of alcohol and water is 5 : 3. If 20% of this mixture is taken out and the same amount of water is added then what will be the ratio of alcohol and water in final mixture?

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

Answer & Explanation Answer: A) 1:1

Explanation:

Quantity of alohol in the mixture = 40 x 5/8 = 25 lit

Quantity of water = 40 - 25 = 15 lit

According to question,

Required ratio = $\frac{20 - (40 x \frac{20}{100} x \frac{5}{8})}{15 - (40 x \frac{20}{100} x \frac{3}{8}) + 40 x \frac{20}{100}} = \frac{20}{15 - 3 + 8} = 1 : 1$

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

27 14165

Q:

A shopkeeper sold a mobile phone for Rs. 12000. Had he offered discount of 10% on the selling price, there would be a loss of 4%. What is the cost price of that Mobile phone?

A) Rs. 12,500	B) Rs. 11,250
C) Rs. 12,750	D) Rs. 11,680

Answer & Explanation Answer: B) Rs. 11,250

Explanation:

Given that SP = Rs. 12000 - 10% = Rs. 10,800

Loss% = 4

We know that, C.P = 100/(100 - Loss%) x 100

=> 100/100-4 x 10800

=> 1080000/96

C.P = Rs. 11,250

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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14 14161

Quantitative Aptitude - Arithmetic Ability Questions

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