Mathematics
Euclid’s Division Lemma
Practice questions
If (N) leaves remainder 11 when divided by 18, what is the remainder when (N+25) is divided by 18?Which option shows an invalid remainder for Euclid’s division lemma when the divisor is 19?If 1441 is divided by 53, what is the remainder?If (t=16q+9), what is the remainder when (2t+3) is divided by 16?If a number leaves remainder 3 when divided by 20, what is the remainder when five times the number is divided by 20?Why is the product of three consecutive integers divisible by 6?If a number is of the form (4q+1), what is the remainder when its square is divided by 8?If (a=29q+20), what is the remainder when (a-35) is divided by 29?A number leaves remainder 8 when divided by 13. What is the remainder when its square is divided by 13?If (x=6q+5), what is the remainder when (x^2+x) is divided by 6?Which option gives the correct (q) and (r) for (352=17q+r)?If a number gives quotient 15 and remainder 31 when divided by 32, what is the number?If (a) leaves remainder 9 when divided by 14 and (b) leaves remainder 10 when divided by 14, what is the remainder when (a-b) is divided by 14?Why is at least one number among four consecutive integers divisible by 4?If a number leaves remainder 26 when divided by 27, what is the remainder when 28 is added to it and the result is divided by 27?If (u=10q+7), what is the remainder when (u^2-u) is divided by 10?A number leaves remainder 4 when divided by 7. What is the remainder when its fourth power is divided by 7?If a number leaves remainder 10 when divided by 15, what is the remainder after adding 5 to it?If (a=12q+8) and (b=12p+5), what is the remainder when (ab+a) is divided by 12?Which option gives the correct Euclidean form of dividing (999) by (100)?