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If \( \Large \otimes \) is an operation such that \( \Large a \otimes b=2a \) when a>b, a+b when a

A) \( \Large \frac{1}{3} \)
B) \( \Large \frac{14}{23} \)
C) \( \Large \frac{2}{3} \)
D) \( \Large \frac{14}{13} \)

Correct Answer:



C) \( \Large \frac{2}{3} \)

Description for Correct answer:
given \( \Large a \otimes b = 2a \)

where a > b

\( \Large a \otimes b = a+b \)

where a < b

\( \Large a\otimes b = a^{2} \)

where a = b

=\( \Large \frac{ \left(5+7\right)+ \left(4\right)^{2} }{3 \left(5\right)^{2}- \left(2 \times 15\right)-3 } \)

=\( \Large \frac{12+16}{75-30-3} = \frac{28}{42} = \frac{2}{3} \)

Part of solved Elementary Mathematics questions and answers : >> Elementary Mathematics

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