Question
Download Solution PDFSelect the set in which the numbers are related in the same way as are the numbers of the following 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)
(6, 7, 98)
(8, 10, 182)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
(6, 7, 98)
(8, 10, 182)
Logic: Third no. = [{(First no)2 + (Second no.)2} + (First no. + Second no.)]
(6, 7, 98) →
⇒ [{(6)2 + (7)2} + (6 + 7)]
⇒ [(36 + 49) + (6 + 7)]
⇒ (85 + 13) = 98
(8, 10, 182) →
⇒ [{(8)2 + (10)2} + (8 + 10)]
⇒ [(64 + 100) + (8 + 10)]
⇒ (164 + 18) = 182
Checking all the given options:
1. (10, 12, 150) →
⇒ [{(10)2 + (12)2} + (10 + 12)]
⇒ [(100 + 144) + (10 + 12)]
⇒ (244 + 22) = 286
2. (5, 9, 125) →
⇒ [{(5)2 + (9)2} + (5 + 9)]
⇒ [(25 + 81) + (5 + 9)]
⇒ (106 + 14) = 120
3. (12, 14, 434) →
⇒ [{(12)2 + (14)2} + (12 + 14)]
⇒ [(144 + 196) + (12 + 14)]
⇒ (340 + 26) = 366
4. (4, 5, 50) →
⇒ [{(4)2 + (5)2} + (4 + 5)]
⇒ [(16 + 25) + (4 + 5)]
⇒ (41 + 9) = 50
Here, (4, 5, 50) shows a similar relation to the given set of numbers.
Hence, the correct answer is "Option (4)".
Last updated on Jul 9, 2025
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