Class X Chapter 1 : Number System Ex- 1.1 | Part 4

Class X Chapter 1 : Number System Ex- 1.1 | Part 4

Solution provided here are:
Chapter 1 : Number System
Ex- 1.1
2. Show that the product of two consecutive integers is divisible by 2.
3. Show that the product of two consecutive even integers is divisible by 8.
4. Show that every integer is of the form 4q, 4q+1, 4q+2 or 4q-1.
5. Show that the product of three consecutive integers is divisible by 6.
6. Show that the square of an odd integer is of the form 8k+1.
7. If a is divisible by neither 2 nor 3, show that a2-1 is divisible by 24.
8. Show that any square number cannot be put in the form 4k+2.
9. Show that any square number is of the form 3n or 3n+1.
10. Show that one of three consecutive odd integers is a multiple of 3.
11. Show that the product of any three consecutive even integers is divisible by 48.

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