GATE Questions

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If 2x2+2y2=4a the find the value of 2ax2-a+2ay2-a

Kinetic energy depends on

In each of the following questions three statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given three statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.
Statements:

All books are novels.
No novel is a magazine.
All magazines are newspaper.
Conclusions: 

I.No book is a magazine.
II. Some newspaper are novels.

In each question below are three statements followed by two conclusions numbered I and II. You have to take the three given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the three statements disregarding commonly known facts.
Statements:
All numbers are digits.
All alphabets are numbers.
All words are alphabets.
Conclusions:
I. All words are digits.
II. Some numbers are not words.

In December 2017, Indian Railways announced to equip all trains with Bio-Toilets by ______

An isosceles triangle ABC has sides AB = AC. If side BA is produced to D in such a manner that AC=AD. Then what will the measure of the angle BCD?

Who among the following won the best actor award in the 48th International Film Festival of India (IFFI), organized in November 2017 at Panji, Goa?

If the length of one side and the diagonal of a rectangle are 8 cm and 17 cm respectively, then find its perimeter