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.)
(13, 28, 58)
(16, 34, 70)
Option 1: (15, 32, 64)
Option 2: (18, 36,110)
Option 3: (11, 24, 50)
Option 4: (12, 26, 56)
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Correct Answer: (11, 24, 50)
Solution :
Given:
(13, 28, 58)
(16, 34, 70)
In the sets above given each number is multiplied by two followed by an addition of two, to obtain the next number –
(13, 28, 58)→(13 × 2 + 2) = 28; (28 × 2 + 2) = 58
(16, 34, 70)→(16 × 2 + 2) = 34; (34 × 2 + 2) = 70
Let's check each option
First option:
(15, 32, 64)→(15 × 2 + 2) = 32; (32 × 2 + 2) = 66 ≠ 64
Second option:
(18, 36,110)→(18 × 2 + 2) = 38 ≠ 36; (36 × 2 + 2) = 74 ≠ 110
Third option:
(11, 24, 50)→(11 × 2 + 2) = 24; (24 × 2 + 2) = 50
Fourth option:
(12, 26, 56)→(12 × 2 + 2) = 26; (26 × 2 + 2) = 54 ≠ 56
So, only the third option follows the same pattern as the given number pair. Hence, the third option is correct.
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