Find the odd man out from the given options.
Choices:-
(3,4,5)
(5, 12, 13)
(8,15,18)
(7, 24, 25)
Answers
Answer:
option c is the correct answer
Answer: The odd one is (8, 15, 18) .
Step-by-step explanation:
Firstly we will establish connection among the numbers in given pattern.
(3,4,5)
Here in this pattern the largest number is 5 and the other two numbers are 3 and 4. Sum of squares of 3 and 4 is equal to the square of 5.
5² = 3²+ 4²
⇒ 25= 9+16 = 25
(5,12,13)
Here in this pattern the largest number is 13 and the other two numbers are 12 and 5. Sum of squares of 12 and 5 is equal to the square of 13.
⇒ 13² = 12² +5²
⇒169 = 144 + 25 =169
(7, 24, 25)
Here in this pattern the largest number is 25 and the other two numbers are 24 and 7. Sum of squares of 24 and 7 is equal to the square of 25.
⇒ 25² =24²+ 7²
⇒ 625 = 576 + 49
⇒ 625 = 625.
(8,15,18)
Here in this pattern the largest number is 18 and the other two numbers are 15 and 8. Sum of squares of 15 and 8 is not equal to the square of 18.
⇒ 18²≠ 8²+15²
⇒ 324 ≠ 64 + 225
⇒324 ≠ 289
The odd one is (8, 15, 18) which is not following the established pattern.
Hence, the odd one is (8, 15, 18) .
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