Aptitude | Numbers

What least number must be added to 1056, so that the sum is completely divisible by 23 ?

Byadmin July 18, 2022

Question: What least number must be added to 1056, so that the sum is completely divisible by 23 ?
[A].

[B].

[C].

[D].

Answer: Option A

Explanation:

23) 1056 (45
92
—
136
115
—
21
—

Required number = (23 – 21)
= 2.

Aptitude | Races and Games

In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:

Question:
In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:

[A].

60 m
[B].
40 m
[C].
20 m
[D].
10 m

Answer: Option C

Explanation:

To reach the winning post A will have to cover a distance of (500 – 140)m, i.e., 360 m.

While A covers 3 m, B covers 4 m.

While A covers 360 m, B covers 4 x 360 m = 480 m.

3

Thus, when A reaches the winning post, B covers 480 m and therefore remains 20 m behind.

A wins by 20 m.

Read More In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:
Aptitude | Area

A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?

Question:
A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?

[A].

20
[B].
24
[C].
30
[D].
33

Answer: Option C

Explanation:

Let the side of the square(ABCD) be x metres.

Then, AB + BC = 2x metres.

AC = 2x = (1.41x) m.

Saving on 2x metres = (0.59x) m.

Saving % = 0.59x x 100 % = 30% (approx.)

2x

Read More A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
Aptitude | Average

In Arun’s opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun’s weight is greater than 60 kg but less than 70 kg. His mother’s view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?

Question: In Arun’s opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun’s weight is greater than 60 kg but less than 70 kg. His mother’s view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?
[A].

67 kg.
[B].
68 kg.
[C].
69 kg.
[D].
Data inadequate

Answer: Option A

Explanation:

Let Arun’s weight by X kg.

According to Arun, 65 < X < 72

According to Arun’s brother, 60 < X < 70.

According to Arun’s mother, X <= 68

The values satisfying all the above conditions are 66, 67 and 68.

Required average = 66 + 67 + 68 = 201 = 67 kg.

3 3

Read More In Arun’s opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun’s weight is greater than 60 kg but less than 70 kg. His mother’s view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?
Aptitude | Pipes And Cistern

Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:

Question:
Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:

[A].

1 13 hours

17

[B].

2 8 hours

11

[C].

3 9 hours

17

[D].

4 1 hours

2

Answer: Option C

Explanation:

Net part filled in 1 hour 1 + 1 – 1 = 17 .

5 6 12 60

The tank will be full in 60 hours i.e., 3 9 hours.

17 17

Read More Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:
Aptitude | Problems On Trains

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
[A].

45 km/hr
[B].
50 km/hr
[C].
54 km/hr
[D].
55 km/hr

Answer: Option B

Explanation:

Speed of the train relative to man = 125 m/sec

10

   = 25 m/sec.

2

   = 25 x 18 km/hr

2 5

   = 45 km/hr.

Let the speed of the train be x km/hr. Then, relative speed = (x – 5) km/hr.

x – 5 = 45 x = 50 km/hr.

Read More A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Aptitude | True Discount

The present worth of Rs. 2310 due 2 years hence, the rate of interest being 15% per annum, is:

Question:
The present worth of Rs. 2310 due 2 years hence, the rate of interest being 15% per annum, is:

[A].

Rs. 1750
[B].
Rs. 1680
[C].
Rs. 1840
[D].
Rs. 1443.75

Answer: Option B

Explanation:

P.W. = Rs. 100 x 2310 = Rs. 1680.

100 + 15 x 5

2

Read More The present worth of Rs. 2310 due 2 years hence, the rate of interest being 15% per annum, is:

While A covers 360 m, B covers		4	x 360	m	= 480 m.
		3

Saving % =		0.59x	x 100	%	= 30% (approx.)
		2x

Required average =		66 + 67 + 68		=		201		= 67 kg.
		3				3

1	13	hours
	17

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