Question
Download Solution PDFSelect the set in which the numbers are related in the same way as are the numbers of the given sets.
(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 /Subtracting /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)
(4, 5, 83)
(5, 5, 102)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLogic : (1st number + 2nd number)2 + 2 = 3rd number
Given:
(i) (4, 5, 83)
⇒ (4 + 5)2 + 2 = 83
⇒ (9)2 + 2 = 83
⇒ 81 + 2 = 83
⇒ 83 = 83 (LHS = RHS)
(ii) (5, 5, 102)
⇒ (5 + 5)2 + 2 = 102
⇒ (10)2 + 2 = 102
⇒ 100 + 2 = 102
⇒102 = 102 (LHS = RHS)
Option (1) :
(8, 9, 330)
⇒ (8 + 9)2 + 2 = 330
⇒ 289 + 2 = 330
⇒ 291 ≠ 330 (LHS ≠ RHS)
Option (2) :
(3, 3, 11)
⇒ (3 + 3)2 + 2 = 11
⇒ (6)2 + 2 = 11
⇒ 36 + 2 = 11
⇒ 38 ≠ 11 (LHS ≠ RHS)
Option (3) :
(7, 6, 170)
⇒ (7 + 6)2 + 2 = 170
⇒ (13)2 + 2 = 170
⇒ 169 + 2 = 170
⇒ 171 ≠ 170 (LHS ≠ RHS)
Option(4) :
(8, 3, 123)
⇒ (8 + 3)2 + 2 = 123
⇒112 + 2 = 123
⇒ 121 + 2 = 123
⇒ 123 = 123 (LHS = RHS)
Hence, "Option (4)" is the correct answer.
Last updated on Jul 17, 2025
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