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.)
(20, 70, 120)
(120, 170, 220)
Option 1: (420, 470, 520)
Option 2: (320, 380, 420)
Option 3: (420, 470, 530)
Option 4: (220, 270, 330)
Correct Answer: (420, 470, 520)
Solution :
Given:
(20, 70, 120); (120, 170, 220)
Divide the sum of the first and third numbers by 2, to get the second number –
(20, 70, 120)→20 + 120 = 140; 140 ÷ 2 = 70
(120, 170, 220)→120 + 220 = 340; 340 ÷ 2 = 170
Let's check the options –
First option:
(420, 470, 520)→420 + 520 = 940; 940 ÷ 2 = 470
Second option:
(320, 380, 420)→320 + 420 = 740; 740 ÷ 2 = 370 ≠ 380
Third option:
(420, 470, 530)→420 + 530 = 950; 950 ÷ 2 = 475 ≠ 470
Fourth option:
(220, 270, 330)→220 + 330 = 550; 550 ÷ 2 = 275 ≠ 270
So, only the first option follows the same pattern. Hence, the first option is correct.
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