Anagha, Sushant and Faizal are climbing the steps to a hill top. Anagha is at the step p. Sushant is 10 steps ahead and Faizal is 6 steps behind Anagha. Where are Sushant and Faizal? The total number of steps to the hill top is 3 steps less than 8 times what Anagha has reached. Express the total number of steps using p.

A flight of stairs has 10 steps.A person can go up the steps one at a time,two at a time,or anycombination of 1s and 2's. Find the total number of ways in which the person can go up the stairs.

If a man climbs either one step or two steps at a time, the total number of ways in which he can climb up a staircase of 2n steps (starting from the bottom) is

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. (i) He jumps 3 steps down and then jumps back 2 steps up. In how many jumps will he reach the water level? (ii) After drinking water, he wants to go back. For this, he jumps 4 steps up and then jumps back 2 steps down in every move. In how many jumps will he reach back the top step? (iii) 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?

If N is the number of ways in which a person can walk up a stairway which has 7 steps if he can take 1 or 2 steps up the stairs at a time then the value of N/3 is

A water tank has steps inside it. A monkey is sitting on the topmost step (i.e. the fist step). The water level is at the ninth step. (1) He jumps 3 steps down and then jumps back 2 steps up. In how many jumps will be reach the water level? (2) After drinking water, he wants to go back. For this, he jumps 4 steps up and then jumps back 2 steps down in every move. In how many Jumps will be reach back the top step?

A boy climbed an old step ladder (which has a tendency to slip) and observed that he feels more unstable when standing at the top of the ladder than at the bottom most step. Explain the observation with reasoning