Mathematics
Euclid’s Division Lemma
Practice questions
If (a=100) and (b=39), what are (q) and (r) in (a=bq+r)?If (r=b-1) in (a=bq+r), what is the remainder when (a+1) is divided by (b)?If (a=bq+0), what is the remainder when (a+1) is divided by (b)?What is the remainder when (275) is divided by (28)?What is the quotient when (275) is divided by (28)?If (a=13q+12), what is the remainder when (a+14) is divided by (13)?If (a=13q+1), what is the remainder when (a-3) is divided by (13)?If (a=42q+41), what is the remainder when (a+1) is divided by (42)?If (a=42q+40), what is the remainder when (a+5) is divided by (42)?Which form satisfies the correct remainder condition for (a=31q+r)?When Euclid’s division lemma is applied to the positive integers 867 and 255, what are the quotient and remainder respectively?If a number is divided by 37 and the quotient is 18, what is the greatest possible number?A number divided by 49 is said to leave remainder 52. Why is this statement incorrect?If (a=17q+16), what is the possible remainder when (a) is divided by 17?Which is the correct Euclidean form of writing 431 in terms of 19?Which remainders can a number have when divided by 12?If (a) is an odd positive integer, what is its form in terms of 2 using Euclid’s division lemma?If (n=5q+3), what is the remainder when (n) is divided by 5?In Euclid’s division lemma, which condition on the remainder is correct for a positive integer (b)?Which statement best describes the uniqueness part of Euclid’s division lemma?