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Select the set in which the numbers are related in the same way as are the numbers ofthe following sets.(NOTE: Operations should be performed on the w
Question

Select the set in which the numbers are related in the same way as are the numbers ofthe following sets.
(NOTE: Operations should be performed on the whole numbers, without breakingdown the numbers into its constituent digits. E.g. 13 - Operations on 13 such asadding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1and 3 and then performing mathematical operations on 1 and 3 is not allowed)
(12, 21, 162)
(14, 26, 288)​​

A.

(17, 30, 278)

B.

(16, 26, 220)

C.

(15, 29, 142)

D.

(18, 29, 242)

Correct option is D

Given:
(12, 21, 162)
(14, 26, 288)
Logic: ​(First - Second number difference)² × 2 = Third Number.
(12, 21, 162)
21 − 12 = 9
92 = 81
81 × 2 = 162 
(14, 26, 288)
26 − 14 = 12
122 = 144
144 × 2 = 288
Now check the options:
Option: A) (17, 30, 278)
30 − 17 = 13
132 = 169
169 × 2 = 338 \not=​ 278
Option: B) (16, 26, 220)
26 − 16 = 10
102​ = 100
100 × 2 = 200 \not=220
Option: C) (15, 29, 142)
29 − 15 = 14
142​ = 196
196 × 2 = 392 \not= 142
Option: D) (18, 29, 242)
29 − 18 = 11
112 = 121
121 × 2 = 242 (Follow)
Thus, the correct option is: (d)

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