Mathematics
Euclid’s Division Lemma
Practice questions
If the divisor is (15), quotient is (7), and remainder is (4), what is the dividend?If (a=41) and (b=60), what is the Euclidean division form?What is the greatest possible remainder when a number is divided by (19)?What is the smallest possible remainder when a number is divided by (19)?If (n) leaves remainder (6) when divided by (7), what will be the remainder when (n+1) is divided by (7)?If (n) leaves remainder (5) when divided by (8), what will be the remainder when (n+6) is divided by (8)?If (n) leaves remainder (4) when divided by (9), what will be the remainder when (n+3) is divided by (9)?What is the quotient when (310) is divided by (27)?What is the remainder when (310) is divided by (27)?If (a=12q+12), what is the correct remainder when (a) is divided by (12)?If (a=23q+46), what is the correct remainder when (a) is divided by (23)?In which form will (a) leave remainder (2) when divided by (5)?How many possible remainders can occur when a positive integer is divided by (12)?Which is the correct Euclidean form when (400) is divided by (31)?If (a=6q+5), what is the remainder when (a+1) is divided by (6)?If (a=6q+1), what is the remainder when (a+4) is divided by (6)?In (75=8 \times 9+3), which number is the quotient?In (75=8 \times 9+3), which number is the divisor?If (a=28) and (b=28), what are (q) and (r)?If a positive integer leaves remainder (1) when divided by (2), what type of number is it?