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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=47q+42) and (b=47p+45), what is the remainder when (a+b+7) is divided by 47?Class 10Real NumbersEuclid’s Division LemmaLevel 3ExpertMathematicsIf (n=26q+25), what is the remainder when (n^2+2n+1) is divided by 26?Class 10Real NumbersEuclid’s Division LemmaLevel 3ExpertMathematicsIf (r) is the remainder and the divisor is 121, which of the following is not a valid value of (r)?Class 10Real NumbersEuclid’s Division LemmaLevel 3ExpertMathematicsIf (a=54q+41), what is the remainder when (12a) is divided by 54?Class 10Real NumbersEuclid’s Division LemmaLevel 3ExpertMathematicsIf an integer leaves remainder 6 when divided by 7, what is the remainder when (n^2+n+1) is divided by 7?Class 10Real NumbersEuclid’s Division LemmaLevel 3ExpertMathematicsA number leaves remainder 93 when divided by 94. What is the remainder when 283 is added to the number and the result is divided by 94?Class 10Real NumbersEuclid’s Division LemmaLevel 3ExpertMathematicsIf (a) leaves remainder 14 when divided by 23 and (b) leaves remainder 19 when divided by 23, what is the remainder when (6a+5b) is divided by 23?Class 10Real NumbersEuclid’s Division LemmaLevel 3ExpertMathematicsIf (a=18q+11), what is the remainder when (a^2+9) is divided by 18?Class 10Real NumbersEuclid’s Division LemmaLevel 3ExpertMathematicsIf a number leaves remainder 14 when divided by 57, what is the remainder when 15 times the number is divided by 57?Class 10Real NumbersEuclid’s Division LemmaLevel 3ExpertMathematicsIf a number leaves remainder 1, 3, 5, 9, 11, or 13 when divided by 14, what possible remainders can its square have when divided by 14?Class 10Real NumbersEuclid’s Division LemmaLevel 3ExpertMathematicsWhich option gives the correct Euclidean form of dividing (9001) by (900)?Class 10Real NumbersEuclid’s Division LemmaLevel 3ExpertMathematicsIf (a=24q+17) and (b=24p+22), what is the remainder when (ab+a) is divided by 24?Class 10Real NumbersEuclid’s Division LemmaLevel 3ExpertMathematicsIf a number leaves remainder 37 when divided by 48, what is the remainder after adding 59 to it?Class 10Real NumbersEuclid’s Division LemmaLevel 3ExpertMathematicsA number leaves remainder 12 when divided by 19. What is the remainder when its fourth power is divided by 19?Class 10Real NumbersEuclid’s Division LemmaLevel 3ExpertMathematicsIf (u=20q+13), what is the remainder when (u^2-u) is divided by 20?Class 10Real NumbersEuclid’s Division LemmaLevel 3ExpertMathematicsIf a number leaves remainder 85 when divided by 86, what is the remainder when 259 is added to it and the result is divided by 86?Class 10Real NumbersEuclid’s Division LemmaLevel 3ExpertMathematicsWhy is at least one number among twelve consecutive integers divisible by 12?Class 10Real NumbersEuclid’s Division LemmaLevel 3ExpertMathematicsIf (a) leaves remainder 10 when divided by 41 and (b) leaves remainder 23 when divided by 41, what is the remainder when (a-b) is divided by 41?Class 10Real NumbersEuclid’s Division LemmaLevel 3ExpertMathematicsIf a number gives quotient 27 and remainder 111 when divided by 112, what is the number?Class 10Real NumbersEuclid’s Division LemmaLevel 3ExpertMathematicsWhich option gives the correct (q) and (r) for (6789=157q+r)?Class 10Real NumbersEuclid’s Division LemmaLevel 3Expert