Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given set.
(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, 17, 23)
(8, 12, 18)
Option 1: (17, 21, 15)
Option 2: (18, 22, 28)
Option 3: (11, 15, 23)
Option 4: (5, 9, 16)
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Correct Answer: (18, 22, 28)
Solution :
Given:
(13, 17, 23); (8, 12, 18)
In the given set of numbers, add the first and the second numbers to the square of their difference and then divide the resultant by 2 to get the third number.
(13, 17, 23)→17 – 13 = 4; 13 + 17 + (4)
2
= 13 + 17 + 16 = 46; 46 ÷ 2 = 23
(8, 12, 18)→12 – 8 = 4; 8 + 12 + (4)
2
= 8 + 12 + 16 = 36; 36 ÷ 2 = 18
Let's check the options –
First option:
(17, 21, 15)→21 – 17 = 4; 17 + 21 + (4)
2
= 17 + 21 + 16 = 54; 54 ÷ 2 = 27
≠ 15
Second option:
(18, 22, 28)→22 – 18 = 4; 18 + 22 + (4)
2
= 18 + 22 + 16 = 56; 56 ÷ 2 = 28
Third option:
(11, 15, 23)→15 – 11 = 4; 11 + 15 + (4)
2
= 11 + 15 + 16 = 42; 42 ÷ 2 = 21
≠ 23
Fourth option:
(5, 9, 16)→9 – 5 = 4; 5 + 9 + (4)
2
= 5 + 9 + 16 = 30; 30 ÷ 2 = 15
≠ 16
So, only the second option follows the same pattern as followed by the given set of numbers. Hence, the second option is correct.
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