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).
(6, 4, 8); (17, 6, 28)
Option 1: (8, 3, 12)
Option 2: (12, 9, 11)
Option 3: (11, 4, 19)
Option 4: (13, 5, 21)
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Correct Answer: (13, 5, 21)
Solution :
Given:
(6, 4, 8); (17, 6, 28)
Add the difference of the first and second numbers to the first number to get the third number –
⇒(6, 4, 8)→6 + (6 – 4) = 6 + 2 = 8
⇒(17, 6, 28)→17 + (17 – 6) = 17 + 11 = 28
Let's check the options –
First option:
(8, 3, 12)→8 + (8 – 3) = 8 + 5 = 13 ≠ 12
Second option:
(12, 9, 11)→12 + (12 – 9) = 12 + 3 = 15 ≠ 11
Third option:
(11, 4, 19)→11 + (11 – 4) = 11 + 7 = 18 ≠ 19
Fourth option:
(13, 5, 21)→13 + (13 – 5) = 13 + 8 = 21
Therefore, only the fourth option follows the same pattern as the given sets. Hence, the fourth option is correct.
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