Aptitude | Numbers

(935421 x 625) = ?

Byadmin July 18, 2022

Question:
(935421 x 625) = ?

[A].

575648125

[B].

584638125

[C].

584649125

[D].

585628125

Answer: Option B

Explanation:

935421 x 625 = 935421 x 54 = 935421 x		10		4
		2

=	935421 x 104	=	9354210000
	24		16

= 584638125

Aptitude | Simplification

To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?

Question:
To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?

[A].

10
[B].
35
[C].
62.5
[D].
Cannot be determined

Answer: Option C

Explanation:

Let the capacity of 1 bucket = x.

Then, the capacity of tank = 25x.

New capacity of bucket = 2 x

5

Required number of buckets = 25x

(2x/5)

= 25x x 5

2x

= 125

2

= 62.5

Read More To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?
Aptitude | Problems On Trains

Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:

Question: Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
[A].

10
[B].
18
[C].
36
[D].
72

Answer: Option C

Explanation:

Let the speed of each train be x m/sec.

Then, relative speed of the two trains = 2x m/sec.

So, 2x = (120 + 120)

12

2x = 20

x = 10.

Speed of each train = 10 m/sec = 10 x 18 km/hr = 36 km/hr.

5

Read More Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
Aptitude | Time And Work

A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

Question: A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

[A].

4 days
[B].
6 days
[C].
8 days
[D].
12 days

Answer: Option B

Explanation:

Suppose A, B and C take x, x and x days respectively to finish the work.

2 3

Then, 1 + 2 + 3 = 1

x x x 2

6 = 1

x 2

x = 12.

So, B takes (12/2) = 6 days to finish the work.

Read More A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:
Aptitude | Compound Interest

The difference between simple interest and compound on Rs. 1200 for one year at 10% per annum reckoned half-yearly is:

Question:
The difference between simple interest and compound on Rs. 1200 for one year at 10% per annum reckoned half-yearly is:

[A].

Rs. 2.50
[B].
Rs. 3
[C].
Rs. 3.75
[D].
Rs. 4

Answer: Option B

Explanation:

S.I. = Rs 1200 x 10 x 1 = Rs. 120.

100

C.I. = Rs. 1200 x 1 + 5 2 – 1200 = Rs. 123.

100

Difference = Rs. (123 – 120) = Rs. 3.

Read More The difference between simple interest and compound on Rs. 1200 for one year at 10% per annum reckoned half-yearly is:
Aptitude | Time And Work

A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :

Question: A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :
[A].

4 days
[B].
6 days
[C].
8 days
[D].
12 days

Answer: Option C

Explanation:

(A + B + C)’s 1 day’s work = 1 ;

6

(A + B)’s 1 day’s work = 1 ;

8

(B + C)’s 1 day’s work = 1 .

12

(A + C)’s 1 day’s work

= 2 x 1 – 1 + 1

6 8 12

= 1 – 5

3 24

= 3

24

= 1 .

8

So, A and C together will do the work in 8 days.

Read More A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :
Aptitude | Simplification

There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:

Question:
There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:

[A].

20
[B].
80
[C].
100
[D].
200

Answer: Option C

Explanation:

Let the number of students in rooms A and B be x and y respectively.

Then, x – 10 = y + 10 x – y = 20 …. (i)

and x + 20 = 2(y – 20) x – 2y = -60 …. (ii)

Solving (i) and (ii) we get: x = 100 , y = 80.

The required answer A = 100.

Read More There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:

New capacity of bucket =	2	x
	5

Required number of buckets =	25x
	(2x/5)

=	25x	x	5
			2x

=	125
	2

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