Home
Class 10
MATHS
For any positive integer a and 3, there ...

For any positive integer a and 3, there ex:ist unique integers q and r such that a = 3q + r, where r must satisfy:

A

`0 lt= r lt 3`

B

`1 lt r lt3`

C

`0 lt rlt 3`

D

`0 lt r lt=3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    OSWAAL PUBLICATION|Exercise TOPIC -1 EUCLID.S DIVISION ALGORITHM ( VERY SHORT ANSWER TYPE QUESTIONS )|9 Videos

  • REAL NUMBERS

    OSWAAL PUBLICATION|Exercise TOPIC -1 EUCLID.S DIVISION ALGORITHM ( SHORT ANSWER TYPE QUESTIONS )|5 Videos

  • QUADRATIC EQUATIONS

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 10.4) |8 Videos

  • SOLVED PAPER (SSLC KARNATAKA APRIL 2019)

    OSWAAL PUBLICATION|Exercise Answer the following :|29 Videos

Similar Questions

Explore conceptually related problems

Euclids Division Lemma states that for any two positive integers a and b, there exists unique integers q and r such that a=bq+r , where r must satisfy.

Given two integers a and b where a gt b , there exist unequal integers q and r such that b = qa + r where 0 le r lt a .This is known as

For any positive integer n, prove that (n^(3) - n) is divisible by 6.

Show that every positive even integer is of the form 2q, and that every positive odd integer is of the form 2q + 1, where q is some integer.

If q is some integer, then any positive odd integer is of the form :

In each of the following questions, we ask you to prove a statement. List all the steps in each proof, ang give the reason for each step. 5. If a and b positive integers, then you know that a =bq +r, 0 £ r lt b , where q is a whole number. Prove that HCF (a,b) =HCF (b,r).

lf r, s, t are prime numbers and p, q are the positive integers such that their LCM of p,q is r^2 t^4 s^2, then the numbers of ordered pair of (p, q) is

Find q and r for the following pairs of positive integers a and b, satisfying a = bq + r. a = 13 , b = 3

For q to be an integer, then any integer can be expressed as a equals to :