Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given 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.)
(20, 16, 8)
(10, 13, 12)
Option 1: (32, 27, 18)
Option 2: (13, 16, 13)
Option 3: (14, 18, 16)
Option 4: (19, 18, 21)
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Correct Answer: (32, 27, 18)
Solution :
Given:
(20, 16, 8); (10, 13, 12)
Divide the sum of the first and third numbers by 2, and add 2 to the resultant, to get the second number –
⇒ (20, 16, 8)→(20 + 8) ÷ 2 + 2 = 16
⇒ (10, 13, 12)→(10 + 12) ÷ 2 + 2 = 13
Let's check each option –
First option:
(32, 27,18)→(32 + 18) ÷ 2 + 2 = 27
Second option:
(13, 16, 13)→(13 + 13) ÷ 2 + 2 = 15 ≠ 16
Third option:
(14, 18, 16)→(14 + 16) ÷ 2 + 2 = 17 ≠ 18
Fourth option:
(19, 18, 21)→(19 + 21) ÷ 2 + 2 = 22 ≠ 18
So, only the first option follows the same pattern as followed by the given number pair. Hence, the first option is correct.
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