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Select the option in which the numbers are related in the same way as are the numbers in the given sets.(16, 169, 3), (18, 121, 7), (21, 361, 2), (6,
Question

Select the option in which the numbers are related in the same way as are the numbers in the given sets.
(16, 169, 3), (18, 121, 7), (21, 361, 2), (6, 4, 4)

A.

(17, 142, 5)

B.

(8, 4, 2)

C.

(13, 16, 9)

D.

(15, 121, 3)

Correct option is C

Given: (16, 169, 3), (18, 121, 7), (21, 361, 2), (6, 4, 4)
Logic: Middle number = (First number - Third number)²
(16, 169, 3):
169=(16−3)2=132=169(Correct!)
(18, 121, 7):
121=(18−7)2=112=121(Correct!)
(21, 361, 2):
361=(21−2)2=192=361(Correct!)
(6, 4, 4):
4=(6−4)2=22=4(Correct!)
Now, check the options:
(a) (17, 142, 5):
142≠(17−5)2=122=144(Incorrect!)
(b) (8, 4, 2):
4≠(8−2)2=62=36(Incorrect!)
(c) (13, 16, 9):
16=(13−9)2=42=16(Correct!)
(d) (15, 121, 3):
121≠(15−3)2=122=144(Incorrect!)
Thus, the correct option (c)  (13, 16, 9)

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