Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets.
(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.)
(17, 26, 37)
(170, 197, 226)
Option 1: (48, 63, 80)
Option 2: (45, 52, 105)
Option 3: (16, 28, 36)
Option 4: (52, 65, 83)
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Correct Answer: (48, 63, 80)
Solution :
Given:
(17, 26, 37); (170, 197, 226)
In the given set of numbers, add 2 to the product of the second number and 2. The resultant is equal to the sum of the first and third numbers.
(17, 26, 37)→17 + 37 = 54; (26 × 2) + 2 = 52 + 2 = 54
(170, 197, 226)→170 + 226 = 396; (197 × 2) + 2 = 394 + 2 = 396
Let's check the options –
First option:
(48, 63, 80)→48 + 80 = 128; (63 × 2) + 2 = 126 + 2 = 128
Second option:
(45, 52, 105)→45 + 105 = 150; (52 × 2) + 2 = 104 + 2 = 106 ≠ 150
Third option:
(16, 28, 36)→16 + 36 = 52; (28 × 2) + 2 = 56 + 2 = 58 ≠ 52
Fourth option:
(52, 65, 83)→52 + 83 = 135; (65 × 2) + 2 = 130 + 2 = 132 ≠ 135
So, only the first option follows the same pattern as followed by the given set of numbers. Hence, the first option is correct.
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