Home
Class 10
MATHS
Prove that if a positive integer is o...

Prove that if a positive integer is of the form `6q+5` , then it is of the form `3q+2` for some integer `q` , but not conversely.

Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    NAGEEN PRAKASHAN ENGLISH|Exercise Short Answer Questions|2 Videos

  • QUADRATIC EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|6 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Long Answer Questions|5 Videos

Similar Questions

Explore conceptually related problems

Prove that the square of any positive integer of the form 5q+1 is of the same form.

Show that every even positive integer is of the form 6q or 6q + 2 or 6q + 4 for some integer q .

Show that any positive odd integer is of the form 6q+1 or 6q+3 or 6q+5 , where q is some integer

Show that any positive odd integer is of the form 6q+1 or 6q+3 or 6q+5 , where q is some integer

Prove that the square of any positive integer is of the form 4q or 4q+1 for some integer q .

Prove that the square of any positive integer is of the form 4q or 4q+1 for some integer q .

Show that any positive odd integer is of the form 6q+1 or, 6q+3 or, 6q+5 , where q is some integer.

Prove that the square of any positive integer is of the form 5q ,5q+1,5q+4 for some integer q.

Show that any positive odd integer is of the form 4q+1 or 4q+3 , where q is some integer.

Show that any positive odd integer is of the form 4q+1 or 4q+3 , where q is some integer.