Home
Class 10
MATHS
Use Euclids division Lemma to show th...

Use Euclids division Lemma to show that the cube of any positive integer is either of the form `9m ,\ 9m+1` or, `9m+8` for some integer `m` .

A

9q

B

9q+1

C

9q+3

D

9q+8

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    EDUCART PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (FILL IN THE BLANKS)|10 Videos
  • REAL NUMBERS

    EDUCART PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (VERY SHORT ANSWER TYPE QUESTIONS)|12 Videos
  • QUADRATIC EQUATIONS

    EDUCART PUBLICATION|Exercise LONG ANSWER Type Questions [4 marks]|19 Videos
  • SAMPLE PAPER - 6

    EDUCART PUBLICATION|Exercise PART - B (SECTION - IV)|13 Videos

Similar Questions

Explore conceptually related problems

Use Euclid's division lemma to show that the cube of any positive integer is of the form 9m ,9m+1 or 9m+8 .

Use Euclid's division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m.

Use Euclid's division lemma to show that the square of any positive integer is either of the form 3m or 3m+1 for some integer m.[Hint: Let x be any positive integer then it is of the form 3q,3q+1 or 3q+2 Now square each of these and show that they can be rewritten in the form 3m or 3m+1]

Using Eulids division lemma, show that the cube of any positive integer is of the form 9m , or ( 9m+1) or ( 9m+8) for some integer m.

Show that the square of any positive integer is either of the form "4m" or "4m+1" for some integer "m.

Using Eulid's divison lemma, show that the square of any positive interger is either of the form 3m or ( 3m+1) for some integer m. |

Show that the square of any positive integer is either of the form 4q or 4q + 1 form some integer q

Show that cube of any positive integer is of the form 4m, 4m+1 or 4m+3, for some integer m.

Show that the square of any positive integer cannot be of the form 5m + 2 or 5m +3 for some integer m .

Show the any positive integer is of the form 3m or ( 3m +1) or ( 3m +2) for some integer m .