Related InterviewSolutions

• Write the following statements in the form of "if -then". (i) you get a job implies your credibility are good. (ii) a quadrilateral is a prallelogram if its diagonals biset each other. (iii) to get a grade in the class, it is necessary that you do all the exercise of the book.
• Check the validity of the statements given below by the method given against it.(i) p: The sum of an irrational number and a rational number is irrational (by contradiction method).(ii) q: If n is a real number with `n > 3`, then `n^2>9
• Write the contrapositive converse and inverse of the following statements: (i) if two lines are paralllel, then they do not interest in the same plane. (ii) something is hot implies that it has high temperature. (iii) if x is an odd number, then it is prime. (iv) if x is an even number, then it is divisible by 2. (iv) if the diagonals of a rectangle intersect at `90^@`, then it is a rhombus.
• Some statements are given in (a) and (b) identify the statements given below as contrapositive or converse of each other.(a) if you live in Delhi,then you have winter clothes. (i) if you do not have winter clothes, then you do not live in Delhi. (ii) if you do not have winter clothes, then you do not live in delhi. (b) if a quadrilateral is a parallelogram, then its diagonals biset each other. (i) if the diagonals of a quadrilateral do not biset each other, then the quadrilateral is not a parallelogram. (ii) if the diagonals of a quadrilateral bisect each other, then it is a parallelogram.
• Write the contrapositive of the following statements : (i) if you born in india, then you are a citizen of India. (ii) If a triangle is equilateral, then it is isosceles.
• Which of the following statements are true and whihc are false? In each case give a valid reason for saying so. (i) p: each radius of a circle is a chord of the circle. (ii) q: the centre of a circle bisects each chord of the circle. (iii) r: circles is a particular case of an ellipse.(iv) s : if x and y are integeres such that `xgty` , then `-xlarry`. (v) t: `sqrt(11)` is a rational number.
• Given statements in (a) and (b) identify the statements given below as contrapositive or converse of each other. (a) if you live in delhi , then you have winter clothes . (i) if you do not have winter clothes, then clothes. (ii) if you have winter clothes, then you its in delhi. (b)if a quadrilateral is a parallelogram, then its diagonals bisect each other. (i) if the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram. (ii) if the diagonals of a quadrilateral bisect each other, then it is a paralleogram.
• Which of the following is a statement ?A. x is a real numberB. Switch off the fanC. 6 is a natural numberD. Let me go