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.)
(18, 39, 60)
(27, 48, 69)
Option 1: (24, 64, 96)
Option 2: (35, 56, 77)
Option 3: (31, 52, 84)
Option 4: (17, 28, 49)
Correct Answer: (35, 56, 77)
Solution :
Given:
(18, 39, 60); (27, 48, 69)
The pattern here is that the difference between the numbers is 21.
(18, 39, 60)→39 – 18 = 21; 60 – 39 = 21
(27, 48, 69)→48 – 27 = 21; 69 – 48 = 21
Let's check the options –
First option:
(24, 64, 96)→64 – 24 = 40 ≠ 21; 96 – 64 = 32 ≠ 21
Second option:
(35, 56, 77)→56 – 35 = 21; 77 – 56 = 21
Third option:
(31, 52, 84)→52 – 31 = 21; 84 – 52 = 32 ≠ 21
Fourth option:
(17, 28, 49)→28 – 17 = 11 ≠ 21; 49 – 28 = 21
So, only the second option follows the same pattern. Hence, the second option is correct.
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