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CHAPTER-14 MATHEMATICAL REASONING
WORKSHEET
1. Which of the following sentences are statements? Give reasons for your answer.
(i) The sum of 5 and 7 is greater than 10.
(ii) The square of a number is an even number.
(iii) The sides of a quadrilateral have equal length.
2. Write the negation of the following statements:
(i)The number 2 is greater than 7.
(ii)Every natural number is an integer.
3. Find the component statements of the following compound statements and check
whether they are true or false.
(i) All integers are positive or negative.
(ii) 100 is divisible by 3, 11 and 5.
4. Identify the quantifier in the following statements and write the negation of the
statements.
(i) There exists a number which is equal to its square.
(ii) For every real number x, x is less than x + 1.
(iii) There exists a capital for every state in India.
5. Write the contra positive and converse of the following statements.
(i) Something is cold implies that it has low temperature.
(ii) You cannot comprehend geometry if you do not know how to reason
deductively.
(iii) x is an even number implies that x is divisible by 4.
