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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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