Question : Directions: Select the set in which the numbers are NOT related in the same way as the numbers of the given set. (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.)
(12, 21, 84)
Option 1: (14, 21, 98)
Option 2: (14, 18, 84)
Option 3: (16, 15, 80)
Option 4: (24,18, 96)
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Correct Answer: (24,18, 96)
Solution :
Given:
(12, 21, 84)
Subtract 2 from the difference of the first two numbers and multiply the resultant with the first number, to get the third number –
⇒ (12, 21, 84)→12 × (21 – 12 – 2) = 12 × 7 = 84
Let's check each option –
First option:
(14, 21, 98)→14 × (21 – 14 – 2) = 14 × 5 = 70 ≠ 98
Second option:
(14, 18, 84)→14 × (18 – 14 – 2) = 14 × 2 = 28 ≠ 84
Third option:
(16, 15, 80)→16 × (16 – 15 – 2) = 16 × 1 = 16 ≠ 80
Fourth option:
(24, 18, 96)→24 × (24 – 18 – 2) = 24 × 4 = 96
So, only the fourth option follows the same pattern as the given set of numbers. Hence, the fourth option is correct.