Any positive odd integer is of the form 2q + 1. The next form for an odd integer is 4q + r. Which remainders r are possible for odd integers in the form 4q + r?

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Accepted Answer

1 or 3. With b = 4, remainders are 0,1,2,3. Odd integers occur for r = 1 and r = 3 (4q and 4q+2 are even).

Any positive odd integer is of the form $2 q + 1$ . The next form for an odd integer is $4 q + r$ . Which remainders $r$ are possible for odd integers in the form $4 q + r$ ?

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More Class 10 Euclid's Division Lemma practice

Any positive odd integer is of the form 2q+1. The next form for an odd integer is 4q+r. Which remainders r are possible for odd integers in the form 4q+r?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Euclid's Division Lemma practice

Any positive odd integer is of the form $2 q + 1$ . The next form for an odd integer is $4 q + r$ . Which remainders $r$ are possible for odd integers in the form $4 q + r$ ?