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 β 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)Solution
Logic:Β Subtract 2 from the squares of the consecutive numbers to get the numbers in the given sets. (34, 47, 62)Β βΒ (6)2β2=34;(7)2β2=47;(8)2β2=62βΒ (6)2β2=34;(7)2β2=47;(8)2β2=62βΒ (6, 7, and 8 are the consecutive numbers.) (119, 142, 167)Β βΒ (11)2β2=119;(12)2β2=142;(13)2β2=167βΒ (11)2β2=119;(12)2β2=142;(13)2β2=167β (11, 12, and 13 are the consecutive numbers.)ββ Explanation: β (a) (27, 38, 51)Β ββΒ (5)2β2=23β 27;(6)2β2=34β 39;(7)2β2=47β 51βΒ (5)2β2=23ξ =27;(6)2β2=34ξ =39;(7)2β2=47ξ =51βββ (b) (48, 65, 82)Β βΒ (7)2β2=47β 48;(8)2β2=62β 65;(9)2β2=79β 82βΒ (7)2β2=47ξ =48;(8)2β2=62ξ =65;(9)2β2=79ξ =82βββ (c) (64, 78, 99)Β βΒ (8)2β2=62β 64;(9)2β2=79β 78;(10)2β2=98β 99βΒ (8)2β2=62ξ =64;(9)2β2=79ξ =78;(10)2β2=98ξ =99βββ (d) (79, 98, 119)Β βΒ (9)2β2=79;(10)2β2=98;(11)2β2=119βΒ (9)2β2=79;(10)2β2=98;(11)2β2=119βββ Thus, only option (d) follows the same logic. Thus, the correct option is (d).
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