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. 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.)
(26, 14, 170)
(31, 7, 18)
Option 1: (11, 5, 17)
Option 2: (34, 10, 72)
Option 3: (21, 9, 60)
Option 4: (14, 6, 24)
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Correct Answer: (21, 9, 60)
Solution :
Given:
(26, 14, 170); (31, 7, 18)
In the given sets, add the first and the third numbers. The resultant is the square of the second number.
(26, 14, 170)→26 + 170 = 196; (14)
2
= 196
(31, 7, 18)→31 + 18 = 49; (7)
2
= 49
Now, let's check the given options –
First option:
(11, 5, 17)→11 + 17 = 28; (5)
2
= 25
≠ 28
Second option:
(34, 10, 72)→34 + 72 = 106; (10)
2
= 100
≠ 106
Third option:
(21, 9, 60)→21 + 60 = 81; (9)
2
= 81
Fourth option:
(14, 6, 24)→14 + 24 = 38; (6)
2
= 36
≠ 38
So, only the third option follows the same pattern as followed by the given set of numbers . Hence, the third option is correct.
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