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    Question

    Select the set in which the numbers are related in the

    same way as are the numbers of the following sets. (34, 47, 62) (119, 142, 167) (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting /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)
    A (27, 38, 51) Correct Answer Incorrect Answer
    B (48, 65, 82) Correct Answer Incorrect Answer
    C (64, 78, 99) Correct Answer Incorrect Answer
    D (79, 98, 119) Correct Answer Incorrect Answer

    Solution

    Logic:  Subtract 2 from the squares of the consecutive numbers to get the numbers in the given sets. (34, 47, 62) → (6)2−2=34;(7)2−2=47;(8)2−2=62→ (6)2−2=34;(7)2−2=47;(8)2−2=62​ (6, 7, and 8 are the consecutive numbers.) (119, 142, 167) → (11)2−2=119;(12)2−2=142;(13)2−2=167→ (11)2−2=119;(12)2−2=142;(13)2−2=167​ (11, 12, and 13 are the consecutive numbers.)​​ Explanation: ​ (a) (27, 38, 51) ​→ (5)2−2=23≠27;(6)2−2=34≠39;(7)2−2=47≠51→ (5)2−2=23=27;(6)2−2=34=39;(7)2−2=47=51​​​ (b) (48, 65, 82) → (7)2−2=47≠48;(8)2−2=62≠65;(9)2−2=79≠82→ (7)2−2=47=48;(8)2−2=62=65;(9)2−2=79=82​​​ (c) (64, 78, 99) → (8)2−2=62≠64;(9)2−2=79≠78;(10)2−2=98≠99→ (8)2−2=62=64;(9)2−2=79=78;(10)2−2=98=99​​​ (d) (79, 98, 119) → (9)2−2=79;(10)2−2=98;(11)2−2=119→ (9)2−2=79;(10)2−2=98;(11)2−2=119​​​ Thus, only option (d) follows the same logic. Thus, the correct option is (d).

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