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.)
(2,9,17)
(11,16,60)

Options

A

(11,8,12)

B

(3,2,34)

C

(9,12,8)

D

(6,17,41)

Show Answer

Correct Answer :

Option D

(6,17,41)

Solution :

The correct answer is (6, 17, 41).

Logic and Pattern Analysis:

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

We need to find the relationship between A, B, and C using operations on whole numbers.

Let's analyze the first given set: (2, 9, 17)
Multiply the first number (A) by 4 and add it to the second number (B):
(2×4)+9=8+9=17
This gives the third number (C).

Let's check the second given set: (11, 16, 60)
Applying the same formula (A×4)+B=C:
(11×4)+16=44+16=60
The rule holds true for both given sets.

Testing the Options:

1. (11, 8, 12):
(11×4)+8=44+8=5212 (Incorrect)

2. (3, 2, 34):
(3×4)+2=12+2=1434 (Incorrect)

3. (9, 12, 8):
(9×4)+12=36+12=488 (Incorrect)

4. (6, 17, 41):
(6×4)+17=24+17=41 (Correct)

Thus, the set (6, 17, 41) follows the same relationship pattern as the given sets.

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