6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A train 150 m long is running with a speed of 68 km/h. In what time will it pass a man who is running at 8 km/ h in the same direction in which the train is going?

A) 8 sec	B) 8.5 sec
C) 9 sec	D) 9.5 sec

Answer & Explanation Answer: C) 9 sec

Explanation:

Relative speed = 68-8 = 60 km/hr = 60 X 5 / 18 m/s = 50/3 m/s

Total distance = 150 m

Time taken to pass a man running in same direction = 150 X 3/50 = 9 seconds

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

2 4304

Q:

What is $\frac{1}{5}$ as a decimal?

A) 0.333	B) 0.666
C) 0.200	D) 0.452

Answer & Explanation Answer: C) 0.200

Explanation:

Here I converted the original fraction to a fraction with the denominator being 10, because decimals can be written in the tenths place.

$Divide numerator and denominator with' 2' \frac{1}{5} x \frac{2}{2} = \frac{2}{10} = 0.2$

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Filed Under: Decimal Fractions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

5 4302

Q:

Find the present worth of a bill of Rs.28000 due 2 years at 12% compound interest. Also find the true discount.

A) 300	B) 350
C) 250	D) 275

Answer & Explanation Answer: A) 300

Explanation:

PW = $\frac{A m o u n t}{{(1 + \frac{R}{100})}^{T}} = \frac{2800}{{(1 + \frac{12}{100})}^{2}}$ = Rs.2500

TD = Amount - PW = 2800 - 2500 = Rs.300

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Filed Under: True Discount

0 4300

Q:

A alone can do a work in 20 days. B is 125% more efficient than A. A and B started working and worked for 4 days. If C alone completed the remaining job in 22 days. How many days C alone takes to complete the entire job?

A) 30	B) 35
C) 40	D) 42

Answer & Explanation Answer: C) 40

Explanation:

A alone can do = 20days

Efficiency ratio of A & B= 4 : 5

Time required will be in ratio = 5:4

B alone will do it in =16 days

LCM of (16,20)= 80 ,

Assume work size of 80 units

1 day work of A= 4 units 1 day work of B= 5 units

Work done by both in 4 days= 4*(5+4)= 36 units

Work left= 80-36= 44 units

Now C takes 22 days to complete= 44 units.

Time taken by C alone to complete the work= 40 days

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Filed Under: Time and Work
Exam Prep: Bank Exams

0 4299

Q:

What is the probability that a number is divisible by 4?

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

Answer & Explanation Answer: B) 1/2

Explanation:

Probability is Number of favourable outcomes by total outcomes

Total comes = 2 (Divisible or not)

Favourable = 1 (Divisible)

Hence, probability = 1/2.

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

35 4297

Q:

The average marks of 50 students in an examination was 65. It was later found that the marks of one student had been wrongly entered as 83 instead of 38. The correct average is?

A) 63.9	B) 64.5
C) 64.7	D) 64.1

Answer & Explanation Answer: D) 64.1

Explanation:

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Filed Under: Average
Exam Prep: Bank Exams

1 4294

Q:

What is the number of decimal places in a cube root of a number having 27 decimal places ?

A) 3	B) 6
C) 9	D) 27

Answer & Explanation Answer: C) 9

Explanation:

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Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

3 4293

Q:

A research team of 6 people is to be formed from 10 chemists,5 politicians, 8 economists and 15 biologists.How many teams have atleast 5 chemists?

A) 7350	B) 6400
C) 6379	D) 7266

Quantitative Aptitude - Arithmetic Ability Questions

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