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

Choose the most appropriate word from the option 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 ∎, Δ and → are defined by : $a\text{∎}b=\frac{\mathrm{a}-\mathrm{b}}{\mathrm{a}+\mathrm{b}};\mathrm{a}\mathrm{\Delta }\mathrm{b}=\frac{\mathrm{a}+\mathrm{b}}{\mathrm{a}-\mathrm{b}};\mathrm{a}\to \mathrm{b}=\mathrm{ab}.$ find the value of (66 ∎ 6) → (66 Δ 6)

If ${\log }_{\mathrm{x}}\left(\frac{5}{7}\right)=-\frac{1}{3}$, then the value of x is