Mathematics
Euclid’s Division Lemma
Practice questions
According to Euclid’s division lemma, what are the correct quotient and remainder when 1025 is divided by 84?If a number gives quotient 27 when divided by 31, what is the greatest possible value of that number?If a number gives quotient 19 when divided by 46, what is the least possible value of that number?Which option shows the correct Euclidean form of dividing 703 by 58?If (x=15q+14), what is the remainder when (x+16) is divided by 15?If (n) leaves remainder 6 when divided by 17, what is the remainder when (4n+5) is divided by 17?If a number leaves remainder 7 when divided by 9, what is the remainder when its square is divided by 9?Which is the correct list of all possible forms of a positive integer when divided by 6?If (a=23q+22), what is the remainder when (a+1) is divided by 23?If (m) leaves remainder 5 when divided by 12, what is the remainder when (m-19) is divided by 12?In Euclid’s division lemma (a=bq+r). If (b=28), what is the greatest possible value of (r)?If a number leaves remainder 24 when divided by 25, what remainder will twice the number leave when divided by 25?Which option gives the correct remainder when 589 is divided by 36?If a number leaves remainder 3 when divided by 8, what is the remainder when its cube is divided by 8?Which statement is correct when an integer is divided by 10?If (p=11q+8), what is the remainder when (3p-7) is divided by 11?If (a=7q+4) and (b=7p+5), what is the remainder when (a+b) is divided by 7?If (a=13q+10) and (b=13p+9), what is the remainder when (ab) is divided by 13?If a number leaves remainder 2 when divided by 5, what is the remainder when its cube is divided by 5?When an integer is divided by 4, what remainders can its square have?