Which of the following sentences are statements? Give reasons for your answer.

(i) There are 35 days in a month.

(ii) Mathematics is difficult.

(iii) The sum of 5 and 7 is greater than 10.

(iv) The square of a number is an even number.

(v) The sides of a quadrilateral have equal length.

(vi) Answer this question.

(vii) The product of (–1) and 8 is 8.

(viii) The sum of all interior angles of a triangle is 180°.

(ix) Today is a windy day.

(x) All real numbers are complex numbers.

<p>This is a &nbsp;Mathematical Reasoning Solutions Type Questions as classified in NCERT Exemplar</p><p><strong> (i)&nbsp;</strong>This sentence is false because there are less than 35 days in a month. Hence it is a statement.</p><p><strong> (ii)</strong> This sentence differs to individual, as some may find it difficult and some may find it easy. This means that it is not always true. Hence it is not a statement.</p><p><strong> (iii) </strong>This sentence is true as the sum of 5 and 7 is 12 which is greater than 10. Hence it is a statement.</p><p><strong> (iv) </strong>This sentence can be correct and incorrect sometimes as the square of 2 is even but the square of 3 is an odd. Hence it is not a statement.</p><p><strong> (v)</strong> This sentence is not always true. For instance, square and rhombus have sides of equal lengths but a rectangle has sides of unequal lengths. Hence it is not a statement.</p><p><strong> (vi)</strong> This sentence is an order. So, it is not a statement.</p><p><strong> (vii) </strong>This sentence is incorrect as the product of (–1) and 8 is –8. Hence, it is a statement.</p><p><strong> (viii) </strong>The given sentence is true. Therefore, it is a statement.</p><p><strong> (ix)</strong> This sentence has “today” in it which is a variable time. Hence it is not a statement.</p><p><strong> (x)</strong> This sentence is always correct. So, it is a statement.</p>

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