Question
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.
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Practice questions from similar books
Question 1
Write the component statements of the following compound statements and
check whether the compound statement is true or false:
(i) Square of an integer is positive or negative
(ii)
are the roots of the equation
(iii) The sand heats up quickly in the sun and does not cool down fast at
night.Question 2
Check whether the following statement is true or not: If
are odd integer, shten
is an odd integer.Question Text | 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. |