πŸ“’ Too many exams? Don’t know which one suits you best? Book Your Free Expert πŸ‘‰ call Now!

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

    Practice Next
    More Previous year papers Questions

    Relevant for Exams:

    ask-question