GATE CY 2015 Question Paper (31-Jan-2015) (Shift 1)

Choose the most appropriate word from the options given below to complete the following sentence.
The principal presented the chief guest with a _______________ as token of appreciation.

Choose the appropriate word/phrase, out of the four options given below, to complete the following sentence:
Frogs _______________

Choose the word most similar in meaning to the given word:
Educe

Operators $\square$, $♢$, and $\to$ are defined by: $a\square b=\frac{a-b}{a+b}$; $a♢b=\frac{a+b}{a-b}$; $a\to b=ab$.
Find the value of $(6\square 6)\to (6♢6)$.

If ${\log }_x(5/7)=-1/3$, then the value of $x$ is