Mathematics
Euclid’s Division Lemma
Practice questions
If (a=11q+22), what is the correct remainder when (a) is divided by (11)?If (a=11q+27), what is the correct remainder when (a) is divided by (11)?If a number leaves remainder (15) when divided by (16), what will be the remainder for the next number divided by (16)?If a number leaves remainder (0) when divided by (16), what will be the remainder for the next number divided by (16)?In (618=47 \times 13+7), what does (47) represent?In (618=47 \times 13+7), what does (13) represent?In (618=47 \times 13+7), what does (7) represent?If (a=93), (q=5), and (r=8), what is the value of (b)?If (a=108), (b=15), and (r=3), what is the value of (q)?If a number leaves remainder (9) when divided by (14), in which form can it be written?When a positive integer is divided by (9), which form is not a standard form?What is the remainder when (1000) is divided by (33)?What is the quotient when (1000) is divided by (33)?If (a=5q+4), what is the remainder when (2a) is divided by (5)?If (a=7q+5), what is the remainder when (3a) is divided by (7)?If (a) leaves remainder (3) when divided by (4), what is the remainder when (2a) is divided by (4)?If (a) leaves remainder (5) when divided by (6), what is the remainder when (2a) is divided by (6)?What is the greatest possible remainder when a number is divided by (25)?What is the smallest possible remainder when a number is divided by (25)?If (a=39) and (b=100), which Euclidean form is correct?