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H Harsh Kankaria
If we represent the down steps by negative and up steps by positive then: Moves in (i): Also, Moves in part (ii): Therefore, the sum +8 represents going up by eight steps.

H Harsh Kankaria
Let the number of steps moved down be represented by positive integers and the number of steps moved up by negative integers. Given, Monkey is at the step = 9 Now, The step after: 1st jump  = 2nd jump  = 3rd jump  = 4th jump  = 5th jump  = Therefore, after 5 jumps, the monkey will reach back at the top.

H Harsh Kankaria
Let the number of steps moved down be represented by positive integers and the number of steps moved up by negative integers. Given, Monkey is at the step = 1 Now, The step after: 1st jump  = 2nd jump  = 3rd jump  = 4th jump  = 5th jump  = 6th jump = 7th jump  = 8th jump  = 9th jump  = 10th jump = 11th jump = Therefore, after 11 jumps, the monkey reaches the water level which is at...

H Harsh Kankaria
(Note: On a number line, the number on the right is greater than a number towards its left.) (a) (– 8) + (– 4)           (–8) – (– 4) L.H.S =  R.H.S =  Clearly,  (b) (– 3) + 7 – (19)            15 – 8 + (– 9) L.H.S =  R.H.S =  Clearly,  (c) 23 – 41 + 11         23 – 41 – 11 L.H.S =  R.H.S =  Clearly,  (d) 39 + (– 24) – (15)        36 + (– 52) – (– 36) L.H.S =  R.H.S =  Clearly,  (e) – 231 +...

H Harsh Kankaria
(i)      L.H.S =  R.H.S =   L.H.S = R.H.S Hence verified. (ii)      L.H.S =  R.H.S =   L.H.S = R.H.S Hence verified. (iii)      L.H.S =  R.H.S =   L.H.S = R.H.S Hence verified. (iv)     L.H.S =  R.H.S =   L.H.S = R.H.S Hence verified.

H Harsh Kankaria
Taking Rows- Taking Columns- Taking Diagonals- As the sum of all the rows, columns and diagonals are equal, this is a magic square.

H Harsh Kankaria
Taking Rows- Taking Columns- Taking Diagonals- As the sum of one of the diagonals is not equal to 0, it is not a magic square.

H Harsh Kankaria
We will represent the distance travelled towards west with negative integer. Distance travelled towards east = Distance travelled towards west = Distance travelled from A =  As the distance is negative, so final position of Rita from A is towards the west direction.

H Harsh Kankaria
Given, The amount deposited in bank account = Amount withdrawn from bank account = Balance in account = Amount deposited in bank account + Amount withdrawn from the bank account Therefore,balance in Mohan’s account after the withdrawal is

H Harsh Kankaria
The plane is flying at the height of 5000 m above the sea level Distance of the plane from sea level =  Also, the submarine floating 1200 m below the sea level Distance of the submarine from sea level =  Distance between them =

H Harsh Kankaria
The temperature of Srinagar on Monday =  According to question, The temperature of Tuesday =   The temperature of Srinagar on Tuesday =  Again, according to question The temperature of Wednesday=  The temperature of Srinagar on Wednesday =