Aptitude | Numbers

The difference between the place value and the face value of 6 in the numeral 856973 is

Byadmin July 18, 2022

Question:
The difference between the place value and the face value of 6 in the numeral 856973 is

[A].

973

[B].

6973

[C].

5994

[D].

None of these

Answer: Option C

Explanation:

(Place value of 6) – (Face value of 6) = (6000 – 6) = 5994

Aptitude | Banker's Discount

The banker’s gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:

Question:
The banker’s gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:

[A].

Rs. 480
[B].
Rs. 520
[C].
Rs. 600
[D].
Rs. 960

Answer: Option C

Explanation:

T.D. = B.G. x 100 = Rs. 24 x 100 = Rs. 120.

Rate x Time 10 x 2

P.W. = 100 x T.D. = Rs. 100 x 120 = Rs. 600.

Rate x Time 10 x 2

Read More The banker’s gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:
Aptitude | Numbers

7589 – ? = 3434

Question:
7589 – ? = 3434

[A].

4242
[B].
4155
[C].
1123
[D].
11023

Answer: Option B

Explanation:

Let 7589 -x = 3434

Then, x = 7589 – 3434 = 4155

Read More 7589 – ? = 3434
Aptitude | Simplification

David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross ?

Question:
David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross ?

[A].

19
[B].
28
[C].
30
[D].
37

Answer: Option C

Explanation:

Suppose their paths cross after x minutes.

Then, 11 + 57x = 51 – 63x 120x = 40

x = 1

3

Number of floors covered by David in (1/3) min. = 1 x 57 = 19.

3

So, their paths cross at (11 +19) i.e., 30th floor.

Read More David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross ?
Aptitude | Problems on Numbers

In a two-digit, if it is known that its unit’s digit exceeds its ten’s digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:

Question:
In a two-digit, if it is known that its unit’s digit exceeds its ten’s digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:

[A].

24
[B].
26
[C].
42
[D].
46

Answer: Option A

Explanation:

Let the ten’s digit be x.

Then, unit’s digit = x + 2.

Number = 10x + (x + 2) = 11x + 2.

Sum of digits = x + (x + 2) = 2x + 2.

(11x + 2)(2x + 2) = 144

22×2 + 26x – 140 = 0

11×2 + 13x – 70 = 0

(x – 2)(11x + 35) = 0

x = 2.

Hence, required number = 11x + 2 = 24.

Read More In a two-digit, if it is known that its unit’s digit exceeds its ten’s digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
Aptitude | Height And Distance

The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is:

Question: The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is:
[A].

30°
[B].
45°
[C].
60°
[D].
90°

Answer: Option A

Explanation:

Let AB be the tree and AC be its shadow.

Let ACB = .

Then, AC = 3 cot = 3

AB

= 30°.

Read More The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is:
Aptitude | Problems On Trains

A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:

Question: A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:
[A].

45 m
[B].
50 m
[C].
54 m
[D].
72 m

Answer: Option B

Explanation:

2 kmph = 2 x 5 m/sec = 5 m/sec.

18 9

4 kmph = 4 x 5 m/sec = 10 m/sec.

18 9

Let the length of the train be x metres and its speed by y m/sec.

Then, x = 9 and x = 10.

y – 5

9

y – 10

9

9y – 5 = x and 10(9y – 10) = 9x

9y – x = 5 and 90y – 9x = 100.

On solving, we get: x = 50.

Length of the train is 50 m.

Read More A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:

T.D. =		B.G. x 100		= Rs.		24 x 100		= Rs. 120.
		Rate x Time				10 x 2

P.W. =	100 x T.D.	= Rs.		100 x 120		= Rs. 600.
	Rate x Time			10 x 2

Number of floors covered by David in (1/3) min. =		1	x 57		= 19.
		3

Then,	AC	=	3 cot = 3
	AB

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