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.)
(100, 150, 125)
(500, 400, 450)
Option 1: (14, 16, 28)
Option 2: (120, 100, 130)
Option 3: (200, 400, 300)
Option 4: (180, 140, 260)
Correct Answer: (200, 400, 300)
Solution :
Given:
(100, 150, 125); (500, 400, 450)
Divide the sum of the first two numbers by 2, to get the third number –
(100, 150, 125)→(100 + 150) ÷ 2 = 250 ÷ 2 = 125
(500, 400, 450)→(500 + 400) ÷ 2 = 900 ÷ 2 = 450
Let's check each option –
First option:
(14, 16, 28)→(14 + 16) ÷ 2 = 30 ÷ 2 = 15 ≠ 28
Second option:
(120, 100, 130)→(120 + 100) ÷ 2 = 220 ÷ 2 = 110 ≠ 130
Third option:
(200, 400, 300)→(200 + 400) ÷ 2 = 600 ÷ 2 = 300
Fourth option:
(180, 140, 260)→(180 + 140) ÷ 2 = 320 ÷ 2 = 160 ≠ 260
So, only the third option follows the same pattern as the given set of numbers. Hence, the third option is correct.
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