Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in 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.)
(14, 112, 6)
(17, 204, 5)
Option 1: (21, 189, 12)
Option 2: (24, 145, 18)
Option 3: (9, 89, 3)
Option 4: (15, 135, 7)
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Correct Answer: (21, 189, 12)
Solution :
Given:
(14, 112, 6); (17, 204, 5)
Like, (14, 112, 6)→(14 – 6) × 14 = 8 × 14 = 112
(17, 204, 5)→(17 – 5) × 17 = 12 × 17 = 204
Let's check the options –
First option:
(21, 189, 12)→(21 – 12) × 21 = 9 × 21 = 189
Second option:
(24, 145, 18)→(24 – 18) × 24 = 6 × 24 = 144 ≠ 145
Third option:
(9, 89, 3)→(9 – 3) × 9 = 6 × 9 = 54 ≠ 89
Fourth option:
(15, 135, 7)→(15 – 7) × 15 = 8 × 15 = 120 ≠ 135
So, only the first option follows the same pattern as followed by the given set of numbers. Hence, the first option is correct.
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