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 their constituent digits. E.g. 13 – Operations on 13 such as adding / subtracting /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.)
(133,5,23)
(107,1,18)

Options

A

(76,20,16)

B

(10,22,2)

C

(75,9,4)

D

(18,24,1)

Show Answer

Correct Answer :

Option A

(76,20,16)

Solution :

The correct option is (76, 20, 16).

To find the correct set, let us analyze the mathematical relationship between the numbers in the given sets. Let the three numbers in each set be represented as A, B, and C in the form (A, B, C).

By examining the given sets, we can establish the logic:
The first number is obtained by multiplying the third number by 6 and then subtracting the second number from the result.

A = 6×C - B

Let us verify this relation with the given sets:

First Set: (133, 5, 23)
Here, B = 5 and C = 23.
Applying the logic:
6×23-5=138-5=133
This matches the first number, A = 133.

Second Set: (107, 1, 18)
Here, B = 1 and C = 18.
Applying the logic:
6×18-1=108-1=107
This matches the first number, A = 107.

Now, let us apply the same logic to the correct option (76, 20, 16):
Here, B = 20 and C = 16.
Applying the logic:
6×16-20=96-20=76
This matches the first number, A = 76.

Therefore, the set (76, 20, 16) follows the exact same relationship as the given sets.

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