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Euclids Division Lemma

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (a=18q+13) and (b=18p+16), what is the remainder when (a+b+7) is divided by 18?Class 10Real NumbersEuclid’s Division LemmaLevel 2Hard MathematicsIf (n=8q+7), what is the remainder when (n^2+2n+1) is divided by 8?Class 10Real NumbersEuclid’s Division LemmaLevel 2Hard MathematicsIf (r) is the remainder and the divisor is 41, which of the following is not a valid value of (r)?Class 10Real NumbersEuclid’s Division LemmaLevel 2Hard MathematicsIf (a=24q+17), what is the remainder when (5a) is divided by 24?Class 10Real NumbersEuclid’s Division LemmaLevel 2Hard MathematicsIf an integer leaves remainder 2 when divided by 3, what is the remainder when (n^2+n+1) is divided by 3?Class 10Real NumbersEuclid’s Division LemmaLevel 2Hard MathematicsA number leaves remainder 29 when divided by 30. What is the remainder when 61 is added to the number and the result is divided by 30?Class 10Real NumbersEuclid’s Division LemmaLevel 2Hard MathematicsIf (a) leaves remainder 4 when divided by 9 and (b) leaves remainder 7 when divided by 9, what is the remainder when (2a+b) is divided by 9?Class 10Real NumbersEuclid’s Division LemmaLevel 2Hard MathematicsIf (a=5q+2), what is the remainder when (a^2+1) is divided by 5?Class 10Real NumbersEuclid’s Division LemmaLevel 2Hard MathematicsIf a number leaves remainder 4 when divided by 22, what is the remainder when 7 times the number is divided by 22?Class 10Real NumbersEuclid’s Division LemmaLevel 2Hard MathematicsIf a number leaves remainder 1 or 5 when divided by 6, what is the remainder when its square is divided by 6?Class 10Real NumbersEuclid’s Division LemmaLevel 2Hard MathematicsWhich option gives the correct Euclidean form of dividing (999) by (100)?Class 10Real NumbersEuclid’s Division LemmaLevel 2Hard MathematicsIf (a=12q+8) and (b=12p+5), what is the remainder when (ab+a) is divided by 12?Class 10Real NumbersEuclid’s Division LemmaLevel 2Hard MathematicsIf a number leaves remainder 10 when divided by 15, what is the remainder after adding 5 to it?Class 10Real NumbersEuclid’s Division LemmaLevel 2Hard MathematicsA number leaves remainder 4 when divided by 7. What is the remainder when its fourth power is divided by 7?Class 10Real NumbersEuclid’s Division LemmaLevel 2Hard MathematicsIf (u=10q+7), what is the remainder when (u^2-u) is divided by 10?Class 10Real NumbersEuclid’s Division LemmaLevel 2Hard MathematicsIf 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?Class 10Real NumbersEuclid’s Division LemmaLevel 2Hard MathematicsWhy is at least one number among four consecutive integers divisible by 4?Class 10Real NumbersEuclid’s Division LemmaLevel 2Hard MathematicsIf (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?Class 10Real NumbersEuclid’s Division LemmaLevel 2Hard MathematicsIf a number gives quotient 15 and remainder 31 when divided by 32, what is the number?Class 10Real NumbersEuclid’s Division LemmaLevel 2Hard MathematicsWhich option gives the correct (q) and (r) for (352=17q+r)?Class 10Real NumbersEuclid’s Division LemmaLevel 2Hard