Home
Class 11
MATHS
Given below are two pairs of statements....

Given below are two pairs of statements. Combine these two statements using ''if and only if ''.
(i) p: If a rectangle is a square, then all its four sides are equal. q: If all the four sides of a rectangle are equal, then the rectangle is a square.
(ii) p: If the sum of digits of a number is divisible by 3, then the number is divisible by 3.
q: If a number is divisible by 3, then the sum of its digits is divisible by 3.

Promotional Banner

Similar Questions

Explore conceptually related problems

How many two digit numbers are divisible by 3?

How many two-digit numbers are divisible by 3?

Say True or False : (b) The opposite sides of a rectangle are equal in length.

If the diagonals of a parallelogram are equal, then show that it is rectangle .

Find the sum of all 3 digit naturals which are divisible by 9.

Rewrite each of the following statements in the form ''p if and only if q'' r: If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.

Activity : Ask all the students in your class to write a 3 - digit number. Choose any student from the room at random. What is the probability that the number written by her/him is divisible by 3 ? Remember that a number is divisible by 3 , if the sum of its digits is divisible by 3.

If the diagonals of a parallelogram are equal, show that it is a rectangle.

Find the smallest square number that is divisible by each of the numbers 4,9 and 10.