EASY
11th CBSE
IMPORTANT
Earn 100

Write the negation of the following statement:

The number 5 is less than 7.

Important Questions on Mathematical Reasoning

EASY
11th CBSE
IMPORTANT

Write the negation of the following statement:

Every natural number is an integer.

EASY
11th CBSE
IMPORTANT

Write the negation of the following statement:

Sania plays tennis.

EASY
11th CBSE
IMPORTANT

For each of the following compound statements first identify the connecting words and
then break into component statements.

The square of an integer is positive or negative.

EASY
11th CBSE
IMPORTANT

For the following compound statement first identify the connecting word and then break into component statements.

x=2 and x=3 are the roots of the equation x2- 5x + 6 = 0.

EASY
11th CBSE
IMPORTANT
Prove that the statement: "If x, yZ such that xy is odd, then both x and y are odd" by taking contrapositive.
EASY
11th CBSE
IMPORTANT

For the following statement determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.

Students can take French or Sanskrit as the third language.

EASY
11th CBSE
IMPORTANT

For the following statement determine whether an inclusive "OR" or exclusive
"OR" is used. Give reasons for your answer.

Two lines intersect at a point or are parallel.

MEDIUM
11th CBSE
IMPORTANT
Check the validity of the statement given below by the method of contradiction.
p : The sum of an irrational number and a rational number is irrational"