Mathematics
Euclid’s Division Lemma
Practice questions
When a positive integer is divided by 3, what remainders can its square have?Which remainder is not possible when an integer is divided by 5?If (N=12k+11), what is the remainder when (N+25) is divided by 12?If (y) leaves remainder 2 when divided by 9, what is the remainder when (5y+4) is divided by 9?If a number leaves remainder 13 when divided by 14, what is the remainder when 2 is subtracted from it?If (z) leaves remainder 1 when divided by 8, what is the remainder when (z^3) is divided by 8?If a number leaves remainder 15 when divided by 16, what is the remainder when its square is divided by 16?Which option gives the complete list of possible forms of a number when divided by 7?If (a=20q+19), what is the remainder when (a+1) is divided by 20?A number leaves remainder 2 when divided by 6. What is the remainder when its cube is divided by 6?If (a=18q+5) and (b=18p+7), what is the remainder when (a+b) is divided by 18?If (a=18q+14) and (b=18p+11), what is the remainder when (a+b) is divided by 18?If (a=10q+3) and (b=10p+4), what is the remainder when (ab) is divided by 10?If a number leaves remainder 12 when divided by 13, what is the remainder when three times the number is divided by 13?A number leaves remainder 1 or 3 when divided by 4. What will be the remainder when its square is divided by 4?A number leaves remainder 4 when divided by 5. What is the remainder when its square is divided by 5?If (a) leaves remainder 5 when divided by 7, what is the remainder when (a-9) is divided by 7?If a number leaves remainder 8 when divided by 9, what will be the remainder after adding 4 to it?What is the remainder when 728 is divided by 45?If a number leaves remainder 7 when divided by 12, what will be the remainder after adding 29 to the same number?