Do you think the reverse is also true,i.e,is the sum of any two consecutive positive integers a perfect square of a number ?Give examle to support your answer.

Find two consecutive positive integers, sum of whose squares is 365.

Find two consecutive odd positive integers, sum of whose squares is 290.

Arrange the numbers from 1 to 20 in a row such that the sum of any two adjacent numbers is a perfect square.

Which one of the curves represent the human population growth at present? Do you think such a curve is sustainable.Give reason in support of your answer.

Which of the following lenses L_1 , L_2 and L_3 will you select as objective and eyepiece for constructing best possible (i) telescope and (ii) microscope? Give reason to support your answer.

"India has greater ecosystem diversity than Norway. "Do you agree with the statement? Give reasons in support of your answer.

Two dice are thrown. The events A, B and C are as follows : A : getting an even number on the first die B: getting an odd number on the first die C : getting the sum of numbers on the dice le 5 . State true or false (give reason for your answer): A and B are mutually exclusive.

Two dice are thrown. The events A, B and C are as follows : A : getting an even number on the first die B: getting an odd number on the first die C : getting the sum of numbers on the dice le 5 . State true or false (give reason for your answer): A and B are mutually exclusive and exhaustive.

A water tank has steps inside it. A monkey is sitting on the topmost step(i.e., the first step). The water level is at the ninth step. If the number of steps moved down is represented by negative integers and the number of steps moved up by positive integers, represent his moves in part (i) and (ii) by completing the following, (a) -3+2 -..= -8 (b) 4-2+...= 8. In (a) the sum (-8) represents going down by eight steps. So, what will the sum 8 in (b) represent?