GATE Questions

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China has been by far the biggest coal producing country over the last three decades. The country produced about 3.6 billion tonnes (Bt) of coal in 2012 accounting for over 47% of the world's total coal output.

The number of letters in the given word RITUAL = 6

Then, 

Required number of different ways can the letters of the word 'RITUAL' be arranged = 6!

=> 6 x 5 x 4 x 3 x 2 x 1 = 720

The primary agent of contact metamorphism is heat or temperature.

The reciprocal of a negative number is always a negative number. So that the number and its reciprocal multiply to 1. 

All real numbers except 0 have reciprocals.

In the given options,

12/49 can be written as 1/(49/12) = 1/4.083

7/30 can be written as 1/(30/7) = 1/4.285

13/56 can be written as 1/(56/13) = 1/4.307

11/46 can be written as 1/(46/11) = 1/4.1818

Here in the above,

1/4.083 has the smallest denominator and so 12/49 is the largest number or fraction.

Informative Speaking is a 10-minute presentation written and performed by the student. Informative requires students to balance that content with delivery and style.

Here in the given options, option A) a student sharing ideas about leadership based on a book she has read, is an instance of informative speaking.

Students in Informative must be articulate, engaging, and smooth with their delivery at both a vocal and physical level.