Question : Directions: Select the set in which the numbers are related in the same way as 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.)
(4, 60, 5)
(5, 90, 6)
Option 1: (7, 84, 4)
Option 2: (9, 63, 2)
Option 3: (11,132, 6)
Option 4: (3, 72, 6)
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Correct Answer: (7, 84, 4)
Solution :
Given:
(4, 60, 5); (5, 90, 6)
The product of the first and third numbers is multiplied by 3, to get the second number –
⇒ (4, 60, 5)→(4 × 5) × 3 = 60
⇒ (5, 90, 6)→(5 × 6) × 3 = 90
Let's check each option –
First option:
(7, 84, 4)→(7 × 4) × 3 = 84
Second option:
(9, 63, 2)→(9 × 2) × 3 = 54 ≠ 63
Third option:
(11, 132, 6)→(11 × 6) × 3 = 198 ≠ 132
Fourth option:
(3, 72, 6)→(3 × 6) × 3 = 54 ≠ 72
So, only the first option follows the same pattern as the given number pair. Hence, the first option is correct.
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