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

MathematicsIf (L) is the LCM and (H) is the HCF of (2^7\times3^2\times5) and (2^4\times3^5\times5^3), what will be the powers of (5) in (L) and (H) respectively?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf the LCM of (80), (144), and (225) is found, how many distinct prime factors will it have?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf the HCF of (135), (180), and (225) is found, what will be the power of (3) in it?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf the HCF of two numbers is (40) and their LCM is (1680), and the numbers are taken as (40r) and (40s), what is the value of (rs)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf (A=2^4\times3^2\times5) and (B=2^4\times3^2\times5\times11), which statement about (A) and (B) is correct?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsWhat is the smallest number exactly divisible by (64), (72), and (125)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf (96), (160), and (224) are to be divided into the maximum number of equal parts, what will be the number of parts?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf the HCF of (154) and (231) is (77), what will be the ratio of their LCM to their HCF?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf the HCF of two numbers is (2^3\times3^2) and their LCM is (2^6\times3^5\times5), what will be the total power of (3) in their product?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsThree bells ring at intervals of (45), (60), and (84) seconds respectively. If they ring together now, after how many seconds will they ring together again?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIn a gathering, there are (198) students and (330) guests. The maximum number of identical groups is to be formed so that each group has the same number of students and guests separately. How many groups can be formed?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf (m=2^3\times3^a\times5^2) and (n=2^5\times3^2\times5^b\times11) have LCM (2^5\times3^6\times5^4\times11), which values are correct?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf (x=2^a\times3^5\times5) and (y=2^6\times3^b\times7) have HCF (2^4\times3^3), which values are possible?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsWhat is the greatest number that leaves the same remainder when dividing (489), (654), and (909)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsWhat is the smallest number that leaves remainder (13) when divided by (42), (56), and (70)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsThe HCF of two numbers is (18) and their LCM is (1260). How many unordered pairs of such numbers are possible?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf the HCF of two numbers is (24) and their LCM is (1320), which statement about their existence is correct?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf (a=2^5\times3^3\times7) and (b=2^2\times3^5\times5\times7^2), what is the value of (\frac{\text{LCM}}{\text{HCF}})?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsThe HCF of two numbers is (36), their LCM is (1620), and one number is (180). What is the other number?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsThe prime factorisations of three numbers are (2^3\times3^2\times11), (2^5\times3\times5), and (2^2\times3^4\times7). What will be their LCM?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert