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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।

MathematicsFour automatic signals ring at intervals of (18), (27), (45), and (60) seconds respectively. They ring together now. After how many seconds will they ring together again?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Expert MathematicsA training camp has (276) students and (414) practice booklets. The maximum number of identical groups is to be formed so that each group has the same number of both separately. How many groups can be formed?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Expert MathematicsIf (m=2^2\times3^a\times5^3) and (n=2^6\times3^3\times5^b\times7) have LCM (2^6\times3^5\times5^4\times7), which values are correct?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Expert MathematicsIf (x=2^a\times3^4\times7) and (y=2^7\times3^b\times5) have HCF (2^5\times3^2), which values are possible?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Expert MathematicsWhat is the greatest number that leaves the same remainder when dividing (742), (1018), and (1450)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Expert MathematicsA number leaves remainders (29), (47), and (83) when divided by (36), (54), and (90) respectively. What is the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Expert MathematicsThe HCF of two numbers is (48) and their LCM is (2112). How many unordered pairs of such numbers are possible?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Expert MathematicsIf (a=2^6\times3^2\times5\times13) and (b=2^3\times3^5\times5^2), what is (\frac{\text{LCM}}{\text{HCF}})?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Expert MathematicsThe HCF of two numbers is (54), their LCM is (2970), and one number is (270). What is the other number?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Expert MathematicsThe prime factorisations of three numbers are (2^4\times3^2\times7), (2^2\times3^4\times5), and (2^5\times3\times11). What will be their LCM?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Expert MathematicsThe prime factorisations of two numbers are (2^5\times3^3\times5^2) and (2^3\times3^5\times5\times11). What will be their HCF?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Expert MathematicsIf (N) is the smallest number divisible by both (2^5\times3^2\times7) and (2^3\times3^4\times5), and (M) is the HCF of these two numbers, what is (\frac{N}{M})?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsA number leaves remainders (43), (67), and (115) when divided by (48), (72), and (120) respectively. What is the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsThe HCF of two numbers is (42) and their LCM is (2772). How many unordered pairs of such numbers are possible?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf (L) is the LCM of (2^4\times3^3\times5) and (2^6\times3\times5^2\times13), how many distinct prime factors will (L) have?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf (H) and (L) are respectively the HCF and LCM of (252), (315), and (420), what is (L\div H)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf (H) is the HCF and (L) is the LCM of (2^6\times3^2\times5^2) and (2^4\times3^5\times5), what is (\frac{L}{H})?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf the HCF of two numbers is (63) and their LCM is (2079), and the numbers are taken as (63r) and (63s), what is the value of (rs)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf the LCM of (2^3\times3^4\times5), (2^5\times3^2\times7), and (2^4\times3^3\times11) is found, what will be the power of (3) in it?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf (H) is the HCF of (99), (165), and (231), what is the value of (H)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert