Mathematics
Euclid’s Division Lemma
Practice questions
According to Euclid’s division lemma, what are the correct quotient and remainder when 2547 is divided by 156?If a number gives quotient 37 when divided by 64, what is the greatest possible value of that number?If a number gives quotient 28 when divided by 91, what is the least possible value of that number?Which option gives the correct Euclidean form of dividing 3199 by 247?If (x=43q+41), what is the remainder when (x+89) is divided by 43?If (n) leaves remainder 17 when divided by 29, what is the remainder when (7n+13) is divided by 29?If a number leaves remainder 11 when divided by 13, what is the remainder when its square is divided by 13?Which is the correct list of all possible forms of a positive integer when divided by 11?If (a=71q+70), what is the remainder when (a+1) is divided by 71?If (m) leaves remainder 6 when divided by 31, what is the remainder when (m-68) is divided by 31?In Euclid’s division lemma, if the divisor is 108, what is the greatest possible value of the remainder?If a number leaves remainder 33 when divided by 34, what remainder will five times the number leave when divided by 34?Which option gives the correct remainder when 4217 is divided by 132?If a number leaves remainder 5 when divided by 12, what is the remainder when its cube is divided by 12?Which statement is correct when an integer is divided by 18?If (p=17q+14), what is the remainder when (5p-19) is divided by 17?If (a=19q+16) and (b=19p+15), what is the remainder when (a+b) is divided by 19?If (a=23q+19) and (b=23p+21), what is the remainder when (ab) is divided by 23?If a number leaves remainder 4 when divided by 9, what is the remainder when its cube is divided by 9?When an integer is divided by 7, what remainders can its square have?