Finding Square Root through Repeated Subtraction

Q. Prove that square of any positive integer is of the form 4m, 4m+1 for some integer m.

Q. While finding the square root of 121 by repeated subtraction, in which step does 85 occur?

1. 3${}^{rd}$
2. 5${}^{th}$
3. 8${}^{th}$
4. 6${}^{th}$

Q. show that the square of any positive odd integer is if the form 4m+1 for some integer

Q. How many steps are taken in repeated subtraction method to find the square root of 121?

1. 11
2. 7
3. 9
4. 21

Q. In the following question, a set of five figures 1, 2, 3, 4 and 5 followed by a set of four alternatives is provided. It is required to select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square.

1. 2, 4, 5
2. 1, 2, 3
3. 1, 4, 5
4. 2, 3, 5

Q. Subtracting which odd number will get the value of 288 for the square root of the number 484 using repeated subtraction method?

1. 25
2. 23
3. 27
4. 29

Q. 11 : 121 :110 :: 15 : 225 : 210 :: ?

1. 9 : 81 : 70
2. 19 : 361 : 342
3. 17 : 288 : 272
4. 16 : 225 : 239