GATE EC 2015 Question Paper (31-Jan-2015) (Shift 2)

In the following sentence, certain parts are marked in bold and marked P, Q and R. One of the parts may contain certain error or may not be acceptable is standard written communication. Select the part containing an error. Choose 4 as your answer if there is no error.

The student corrected all the errors (P) that the instructor marked (Q) on theanswer book. (R)

Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follow.

Statements:

I. All film stars are playback singers

II. All film directors are film stars.

Conclusions:

I. All film directors are playback singers

II. Some film star are film directors

A tiger is 50 leaps of its own behind a deer. The tiger takes 5 leaps per minute to the deer’s 4. If the tiger and the deer cover 8 metre and 5 metre per leap respectively, what distance in metres will the tiger have to run before it catches the deer?

If ${\mathrm{a}}^2+{\mathrm{b}}^2+{\mathrm{c}}^2=1$, then $\mathrm{ab}+\mathrm{bc}+\mathrm{ac}$ lies in the interval

Lamenting the gradual sidelining of the arts in school curricula, a goup of prominent artists wrote to the Chief Minister last year, asking him to allocate more funds to support arts education in schools. However, no such increase has been announced in this year`s Budget. The artists expressed their deep anguish at their request not being approved, but many of them remain optimistic about funding in the future.

Which of the statement(s) below is/are logically valid and can be inferred from the above statements?

(i) The artists expected funding for the arts to increase this year.

(ii) The Chief Minister was receptive to the idea of increasing funding for the arts.

(iii) The Chief Minister is a prominent artist.

(iv) Schools are giving less importance to arts education nowadays,