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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=33q+29) and (b=33p+31), what is the remainder when (a+b+6) is divided by 33?Class 10Real NumbersEuclid’s Division LemmaLevel 1Expert MathematicsIf (n=14q+13), what is the remainder when (n^2+2n+1) is divided by 14?Class 10Real NumbersEuclid’s Division LemmaLevel 1Expert MathematicsIf (r) is the remainder and the divisor is 97, which of the following is not a valid value of (r)?Class 10Real NumbersEuclid’s Division LemmaLevel 1Expert MathematicsIf (a=42q+31), what is the remainder when (8a) is divided by 42?Class 10Real NumbersEuclid’s Division LemmaLevel 1Expert MathematicsIf an integer leaves remainder 4 when divided by 5, what is the remainder when (n^2+n+1) is divided by 5?Class 10Real NumbersEuclid’s Division LemmaLevel 1Expert MathematicsA number leaves remainder 57 when divided by 58. What is the remainder when 175 is added to the number and the result is divided by 58?Class 10Real NumbersEuclid’s Division LemmaLevel 1Expert MathematicsIf (a) leaves remainder 9 when divided by 17 and (b) leaves remainder 13 when divided by 17, what is the remainder when (4a+3b) is divided by 17?Class 10Real NumbersEuclid’s Division LemmaLevel 1Expert MathematicsIf (a=12q+7), what is the remainder when (a^2+5) is divided by 12?Class 10Real NumbersEuclid’s Division LemmaLevel 1Expert MathematicsIf a number leaves remainder 8 when divided by 39, what is the remainder when 11 times the number is divided by 39?Class 10Real NumbersEuclid’s Division LemmaLevel 1Expert MathematicsIf a number leaves remainder 1, 3, 7, or 9 when divided by 10, what possible remainders can its square have when divided by 10?Class 10Real NumbersEuclid’s Division LemmaLevel 1Expert MathematicsWhich option gives the correct Euclidean form of dividing (5001) by (500)?Class 10Real NumbersEuclid’s Division LemmaLevel 1Expert MathematicsIf (a=16q+11) and (b=16p+14), what is the remainder when (ab+a) is divided by 16?Class 10Real NumbersEuclid’s Division LemmaLevel 1Expert MathematicsIf a number leaves remainder 17 when divided by 24, what is the remainder after adding 31 to it?Class 10Real NumbersEuclid’s Division LemmaLevel 1Expert MathematicsA number leaves remainder 7 when divided by 13. What is the remainder when its fourth power is divided by 13?Class 10Real NumbersEuclid’s Division LemmaLevel 1Expert MathematicsIf (u=15q+8), what is the remainder when (u^2-u) is divided by 15?Class 10Real NumbersEuclid’s Division LemmaLevel 1Expert MathematicsIf a number leaves remainder 43 when divided by 44, what is the remainder when 133 is added to it and the result is divided by 44?Class 10Real NumbersEuclid’s Division LemmaLevel 1Expert MathematicsWhy is at least one number among eight consecutive integers divisible by 8?Class 10Real NumbersEuclid’s Division LemmaLevel 1Expert MathematicsIf (a) leaves remainder 5 when divided by 27 and (b) leaves remainder 14 when divided by 27, what is the remainder when (a-b) is divided by 27?Class 10Real NumbersEuclid’s Division LemmaLevel 1Expert MathematicsIf a number gives quotient 24 and remainder 75 when divided by 76, what is the number?Class 10Real NumbersEuclid’s Division LemmaLevel 1Expert MathematicsWhich option gives the correct (q) and (r) for (2026=89q+r)?Class 10Real NumbersEuclid’s Division LemmaLevel 1Expert