State whether the following statements are true or false. Give reasons

1.	State whether the following statements are true or false. Give reasons for your answers.i) The sum of the interior angles of a quadrilateral is 350°.ii) For any real number x, x2 > 0iii) A rhombus is a parallelogram.iv) The spm of two even numbers is even.v) Square numbers can be written as the sum of two odd numbers.
Answer» i) False. Sum of the interior angles of a quadrilateral is 360°. ii)True. This is true for all real numbers, iii) True. In a rhombus, both pairs of opposite sides are parallel and hence every rhombus is a parallelogram. iv) True. This is true for any two even numbers. v) Ambiguous. Since square of an odd number can’t be written as sum of two odd numbers.

State whether the following statements are true or false. Give reasons for your answers.i) The sum of the interior angles of a quadrilateral is 350°.ii) For any real number x, x2 > 0iii) A rhombus is a parallelogram.iv) The spm of two even numbers is even.v) Square numbers can be written as the sum of two odd numbers.

Answer»

i) False. Sum of the interior angles of a quadrilateral is 360°.

ii)True. This is true for all real numbers,

iii) True. In a rhombus, both pairs of opposite sides are parallel and hence every rhombus is a parallelogram.

iv) True. This is true for any two even numbers.

v) Ambiguous. Since square of an odd number can’t be written as sum of two odd numbers.