Question Details

Select the set in which the numbers are related in the same way as are the numbers of the following sets.


(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)


(195, 65, 13)

(255, 85, 17)

Options

A

(280, 95, 19)

B

(285, 95, 19)

C

(285, 90, 19)

D

(285, 95, 21)

Show Answer

Correct Answer :

Option B

(285, 95, 19)

Solution :

To find the correct option, let's analyze the relationship between the numbers in the given sets:

First set: (195, 65, 13)
Second set: (255, 85, 17)

Let the three numbers in each set be represented as (A, B, C).

Let's check the relationship between the numbers:
In the first set:
13×5=65 (i.e., C×5=B)
65×3=195 (i.e., B×3=A)
This also means:
A=C×15 (13×15=195)

In the second set:
17×5=85 (i.e., C×5=B)
85×3=255 (i.e., B×3=A)
This also means:
A=C×15 (17×15=255)

Thus, the pattern for each set (A, B, C) is:
1. B=C×5
2. A=B×3=C×15

Now, let's test the options to find the one that follows the same logic:

Option 1: (280, 95, 19)
- 19×5=95 (Correct for B)
- 95×3=285280 (Incorrect)

Option 2: (285, 95, 19)
- 19×5=95 (Correct for B)
- 95×3=285 (Correct for A)
This option perfectly follows the pattern.

Therefore, the set that is related in the same way is (285, 95, 19).

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