CTET Solved Paper MCQ - CTET Feburary 2016 Paper2

21 Let x be the angle which is equal to its complement and y be the angle which is equal to its supplement. Then, 2x + 3 y is equal to

Given, x is the angle which is equal to its complement.
x+x=90°
=> 2x = 90 °

=> x = 45 °
and y is the angle which is equal to its supplement.
y+ y=180°
=> 2y =180°
=> y =90°
.". 2x + 3y =2 x45°+ 3 x900= 360°

22 Two sheets of paper with measure 22 em by 28 cm are taken. Each sheet is then rolled into a cylinder, one having the height 22 em and the other of height 28 cm. The difference in their volumes (in cm³) will be

23 Consider the following statement "If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram." This statement is a/an

A result that has been proceeded to be true is called theorem whereas proposition is one which expresses a judgment or opinion.

24 Anisha and Amit study in Class VII. Anisha told Amit that if the marks in Mathematics of each student in the class are increased by 5, the average would go up by 5. She further says that it is true for all numbers. Amit does not agree and Anisha proves it by taking the case n, instead of 5. Anisha is using

Anisha uses deductive logic. This type of logic goes from general to specific which is based on premises and if the premises is true, then the reasoning will be valid.

25 Writing proofs in geometry implies

The proof of a mathematical theorem is a logical argument to the statement or justification of truth of the statement.