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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।

MathematicsThe HCF of two numbers is (30) and their LCM is (900). If the numbers are (30a) and (30b), which statement about (a) and (b) is correct?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Hard MathematicsIf (m=2^2\times3^a\times5) and (n=2^5\times3^3\times5^b) have LCM (2^5\times3^4\times5^2), which values can be correct?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Hard MathematicsIf (x=2^a\times3^2\times5) and (y=2^4\times3^b\times7) have HCF (2^3\times3^2), which values are possible?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Hard MathematicsWhat is the smallest number that leaves remainder (5) when divided by (18), (24), and (30)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Hard MathematicsA class has (84) pencils and (126) erasers. They are to be divided into the maximum number of identical packets. How many packets can be made?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Hard MathematicsThree bells ring at intervals of (20), (28), and (35) seconds. They ring together now. After how many seconds will they ring together again?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Hard MathematicsIf (p=2^4\times3^3\times5) and (q=2^2\times3\times5^2\times11), what is (\frac{\text{LCM}}{\text{HCF}})?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Hard MathematicsIf the HCF of two numbers is (18) and their LCM is (378), which statement is correct?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Hard MathematicsWhat is the greatest number that can exactly divide (144), (216), and (360)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Hard MathematicsWhat is the smallest number exactly divisible by (32), (48), and (80)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Hard MathematicsThe HCF of two numbers is (24) and their LCM is (720). If one number is (96), what is the other number?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Hard MathematicsIf (72=2^3\times3^2), (120=2^3\times3\times5), and (168=2^3\times3\times7), what is their LCM?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Hard MathematicsIf the prime factorisations of two numbers are (2^5\times3^2\times5) and (2^3\times3^4\times7), what will be their HCF?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Hard MathematicsWhich statement about (84) and (198) is correct?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Hard MathematicsIf two numbers have no common prime factor in their prime factorisations, which statement about their HCF is correct?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Hard MathematicsThe HCF of two numbers is (2^2\times3) and their LCM is (2^4\times3^3\times5). If one number is (2^4\times3\times5), what is the other number?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Hard MathematicsWhat is the smallest number that leaves remainder (0) when divided by (45), (60), and (75)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Hard MathematicsA shopkeeper has (126) red pens and (210) blue pens. He wants to make the maximum number of identical packets so that each packet has the same number of red pens and the same number of blue pens. How many packets can he make?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Hard MathematicsIf (A=2^2\times3\times5^3) and (B=2^5\times3^2\times5), which prime factor will have power (3) in the LCM?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Hard MathematicsIf the HCF of two numbers is (15) and their LCM is (630), what is the product of the two numbers?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Hard