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.)
(3, 14, 1)
(4, 36, 2)
Option 1: (8, 12, 2)
Option 2: (5, 81, 4)
Option 3: (7, 40, 3)
Option 4: (8, 260, 2)
Correct Answer: (8, 260, 2)
Solution :
Given:
(3, 14, 1); (4, 36, 2)
⇒ (3, 14, 1)→{(3)
3
+ (1)
3
} ÷ 2 = {27 + 1} ÷ 2 = 28 ÷ 2 = 14
⇒ (4, 36, 2)→{(4)
3
+ (2)
3
} ÷ 2 = {64 + 8} ÷ 2 = 72 ÷ 2 = 36
Let's check the options –
First option:
(8, 12, 2)→{(8)
3
+ (2)
3
} ÷ 2 = {512 + 8} ÷ 2 = 520 ÷ 2 = 260
≠ 12
Second option:
(5, 81, 4)→{(5)
3
+ (4)
3
} ÷ 2 = {125 + 64} ÷ 2 = 189 ÷ 2 = 94.5
≠ 81
Third option:
(7, 40, 3)→{(7)
3
+ (3)
3
} ÷ 2 = {343 + 27} ÷ 2 = 370 ÷ 2 = 185
≠ 40
Fourth option:
(8, 260, 2)→{(8)
3
+ (2)
3
} ÷ 2 = {512 + 8} ÷ 2 = 520 ÷ 2 = 260
So, only the fourth option follows the pattern of the given set of numbers. Hence, the fourth option is correct.
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