Mathematics
Euclid’s Division Lemma
Practice questions
According to Euclid’s division lemma, what are the correct quotient and remainder when 4961 is divided by 238?If a number gives quotient 46 when divided by 87, what is the greatest possible value of that number?If a number gives quotient 23 when divided by 143, what is the least possible value of that number?Which option gives the correct Euclidean form of dividing 6127 by 391?If (x=67q+64), what is the remainder when (x+140) is divided by 67?If (n) leaves remainder 31 when divided by 43, what is the remainder when (9n+22) is divided by 43?If a number leaves remainder 16 when divided by 19, what is the remainder when its square is divided by 19?Which is the correct list of all possible forms of a positive integer when divided by 17?If (a=97q+96), what is the remainder when (a+1) is divided by 97?If (m) leaves remainder 12 when divided by 53, what is the remainder when (m-118) is divided by 53?In Euclid’s division lemma, if the divisor is 144, what is the greatest possible value of the remainder?If a number leaves remainder 58 when divided by 59, what remainder will nine times the number leave when divided by 59?Which option gives the correct remainder when 9264 is divided by 359?If a number leaves remainder 11 when divided by 18, what is the remainder when its cube is divided by 18?Which statement is correct when an integer is divided by 32?If (p=23q+19), what is the remainder when (7p-18) is divided by 23?If (a=31q+25) and (b=31p+28), what is the remainder when (a+b) is divided by 31?If (a=37q+32) and (b=37p+35), what is the remainder when (ab) is divided by 37?If a number leaves remainder 6 when divided by 13, what is the remainder when its cube is divided by 13?When an integer is divided by 11, what remainders can its square have?