Question :
Directions: From among the given alternatives, select the one in which the set of numbers is most like the set of numbers question.
Given set: (6, 30, 90)
Option 1: (6, 42, 86)
Option 2: (7, 42, 218)
Option 3: (6, 24, 70)
Option 4: (8, 48, 192)
Correct Answer: (8, 48, 192)
Solution :
Given:
(6, 30, 90)
Here, multiply the first two numbers and then divide by 2 to obtain the third number.
(6, 30, 90)→
(6 × 30) ÷ 2 = 180 ÷ 2 = 90
Let's check the options –
First option:
(6, 42, 86); (6 × 42) ÷ 2 = 252 ÷ 2 = 126 ≠ 86
Second option:
(7, 42, 218); (7 × 42) ÷ 2 = 294 ÷ 2 = 147 ≠ 218
Third option:
(6, 24, 70); (6 ×
24) ÷ 2 = 144 ÷ 2 = 72 ≠ 70
Fourth option:
(8, 48, 192); (8 × 48) ÷ 2 = 384 ÷ 2 = 192
So, only the fourth option follows the same pattern as followed by the given set of numbers. Hence, the fourth option is correct.
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