6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Two trains are running at 60 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 6 seconds. What is the length of the fast train ?

$A . 66 \frac{2}{3} m t s$

$B . 66 \frac{3}{2} m t s$

$C . 63 \frac{4}{5} m t s$

$D . 63 \frac{5}{4} m t s$

A) Option A	B) Option B
C) Option C	D) Option D

Answer & Explanation Answer: A) Option A

Explanation:

As Trains are moving in same direction,

Relative Speed = 60-20 = 40 kmph

--> $40 \times \frac{5}{18} = \frac{100}{9}$ m/sec

Length of Train= Speed * Time

Length = $\frac{100}{9} \times 6$

$\Rightarrow \frac{200}{3} = 66 \frac{2}{3} m t s$

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Filed Under: Problems on Trains
Exam Prep: CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

12 11167

Q:

The calendar of year 1939 is same as which year?

A) 1943	B) 1964
C) 1950	D) 1956

Answer & Explanation Answer: C) 1950

Explanation:

Given year 1939, when divided by 4 leaves a remainder of 3.

NOTE: When remainder is 3, 11 is added to the given year to get the result.

So, 1939 + 11 = 1950

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Filed Under: Calendar

21 11160

Q:

A vertical toy 18 cm long casts a shadow 8 cm long on the ground. At the same time a pole casts a shadow 48 m. long on the ground. Then find the height of the pole ?

A) 1080 cm	B) 180 m
C) 108 m	D) 118 cm

Answer & Explanation Answer: C) 108 m

Explanation:

We know the rule that,

At particular time for all object , ratio of height and shadow are same.

Let the height of the pole be 'H'

Then

$\frac{18}{8} = \frac{H}{48}$

=> H = 108 m.

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Filed Under: Height and Distance
Exam Prep: CAT , Bank Exams , AIEEE
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19 11155

Q:

A and B can fill the tank in 60 min and 90 min. There is a leak at 3/4th of the height. If leak is opened alone, it takes 36 min to empty till 3/4th the height. Find the time taken to fill the tank if all of the taps and the leak are opened simultaneously.

A) 39	B) 27
C) 37	D) 33

Answer & Explanation Answer: A) 39

Explanation:

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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams
Job Role: Bank PO

50 11150

Q:

Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6 ?

A) A = 48000 B = 40000 C = 30000	B) A = 30000 B = 40000 C = 48000
C) A = 30000 B = 48000 C = 40000	D) A = 40000 B = 48000 C = 30000

Answer & Explanation Answer: B) A = 30000 B = 40000 C = 48000

Explanation:

Compound ratio of A:B:C
A:B = 3:4
B:C = 5:6
----------
A:B:C = 15:20:24

We can divide Rs.118000 in this ratio.

Share of A = 15/59 x 118000 = 30000

Share of B = 20/59 x 118000 = 40000

Share of C = 24/59 x 118000 = 48000

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

4 11143

Q:

Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case ?

A) 1020	B) 1040
C) 1060	D) 1022

Answer & Explanation Answer: D) 1022

Explanation:

Lowest 4-digit number is 1000.
LCM of 3, 4 and 5 is 60.
Dividing 1000 by 60, we get the remainder 40. Thus, the lowest 4-digit number that exactly divisible by 3, 4 and 5 is 1000 + (60 - 40) = 1020.
Now, add the remainder 2 that's required. Thus, the answer is 1022.

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Filed Under: Problems on Numbers
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11 11138

Q:

The circumference of a circle, whose area is 24.64 sq.m

A) 14.64	B) 16.36
C) 17.60	D) 18.40

Answer & Explanation Answer: C) 17.60

Explanation:

${πr}^{2} = 26.64$

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

11 11136

Q:

In what time would a cistern be filled by three pipes which diameters are 2 cm, 3 cm and 4 cm running together, when the largest alone can fill it is 58 minutes? The amount of water flowing in each pipe is proportional to the square of its diameter.

A) 26 min	B) 32 min
C) 36 min	D) 42 min

Answer & Explanation Answer: B) 32 min

Explanation:

Given that the diameters of the three pipes are 2 cm, 3 cm and 4 cm

From the given data,

Amount of water from three pipes is 4 units, 9 units and 16 units.

Let the capacity of cistern be 'p' units.

∴ p/58 = 16

⇒ p = 928 units.

In 1 minute, quantity to be filled by 3 pipes = 29 units

∴ Total time required = 928/29 = 32 minutes.

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Filed Under: Pipes and Cistern
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

11 11130

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