Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following 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.)
(72, 84, 42)
(96, 108, 54)
Option 1: (92, 102, 51)
Option 2: (112, 120, 60)
Option 3: (88, 100, 50)
Option 4: (64, 86, 42)
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Correct Answer: (88, 100, 50)
Solution :
Given:
(72, 84, 42); (96,108, 54)
Add 12 to the first number, to get the second number, and divide the second number by 2, to get the third number –
⇒ (72, 84, 42)→17 + 12 = 84; 84 ÷ 2 = 42
⇒ (96,108, 54)→96 + 12 = 108; 108 ÷ 2 = 54
Let's check each option –
First option:
(92, 102, 51)→92 + 12 = 104 ≠ 102; 102 ÷ 2 = 51
Second option:
(112, 120, 60)→112 + 12 = 124 ≠ 120; 120 ÷ 2 = 60
Third option:
(88, 100, 50)→88 + 12 = 100; 100 ÷ 2 = 50
Fourth option:
(64, 86, 42)→64 + 12 = 74 ≠ 86; 86 ÷ 2 = 43
So, only the third option follows the same pattern as the given number pair. Hence, the third option is correct.
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