Mathematics
Euclid’s Division Lemma
Practice questions
In Euclid’s division lemma, if the divisor is 52, what is the greatest possible value of the remainder?If a number leaves remainder 27 when divided by 28, what remainder will three times the number leave when divided by 28?Which option gives the correct remainder when 875 is divided by 41?If a number leaves remainder 3 when divided by 10, what is the remainder when its cube is divided by 10?Which statement is correct when an integer is divided by 14?If (p=13q+11), what is the remainder when (4p-9) is divided by 13?If (a=8q+6) and (b=8p+7), what is the remainder when (a+b) is divided by 8?If (a=17q+12) and (b=17p+15), what is the remainder when (ab) is divided by 17?If a number leaves remainder 5 when divided by 7, what is the remainder when its cube is divided by 7?When an integer is divided by 5, what remainders can its square have?If (N) leaves remainder 17 when divided by 22, what is the remainder when (N+49) is divided by 22?Which option shows an invalid remainder for Euclid’s division lemma when the divisor is 24?If 1682 is divided by 67, what is the remainder?If (t=18q+13), what is the remainder when (3t+4) is divided by 18?If a number leaves remainder 6 when divided by 32, what is the remainder when seven times the number is divided by 32?Why is at least one number among five consecutive integers divisible by 5?If a number is of the form (6q+1) or (6q+5), what is the remainder when its square is divided by 6?If (a=37q+29), what is the remainder when (a-48) is divided by 37?A number leaves remainder 11 when divided by 15. What is the remainder when its square is divided by 15?If (x=8q+7), what is the remainder when (x^2+x) is divided by 8?