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Can two number have 18 as their HCF and ...

Can two number have 18 as their HCF and 380 as their LCM? Give reason

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To determine whether two numbers can have 18 as their HCF (Highest Common Factor) and 380 as their LCM (Lowest Common Multiple), we can follow these steps: ### Step 1: Understand the relationship between HCF and LCM The relationship between the HCF and LCM of two numbers \( a \) and \( b \) is given by the formula: \[ \text{HCF} \times \text{LCM} = a \times b \] This means that the product of the HCF and LCM of two numbers is equal to the product of the numbers themselves. ...
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NCERT EXEMPLAR-REAL NUMBERS-Real Numbers
  1. The number 525 and 3000 are both divisible only 3,5,15,25,75. What is ...

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  2. Explain why 3 xx 5 xx 7 +7 is a composite number.

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  3. Can two number have 18 as their HCF and 380 as their LCM? Give reason

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  4. Without actually performing the long divison, find if (987)/(10500) wi...

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  5. A rational number in its decimal expansion is 327.7081. What can you s...

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  6. Prove that the square of any positive integer is of the form 4q or ...

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  7. Show that cube of any positive integer is of the form 4m, 4m+1 or 4m+3...

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  8. Show that the square of any positive integer cannot of the form 5q+2 o...

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  9. Show that the square of any positive integer cannot be of the form 6m+...

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  10. Show that the square of any odd integer is of the form 4m+1, for some ...

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  11. If n is an odd positive integer, show that (n^2-1) is divisible by 8.

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  12. Prove that if xa n dy are odd positive integers, then x^2+y^2 is even ...

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  13. Use Euclid division algorithm to find the HCF of 441, 567 and 693.

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  14. Using Euclid's division algorithm, find the largest number that divide...

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  15. Prove that sqrt3+sqrt5 is irrational

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  16. Show that 12^n cannot end with the digits 0 or 5 for any natural numbe...

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  17. In a morning walk, three persons step off together and their steps mea...

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  18. Write the denominator of the rational number 257/5000 in the form 2^m ...

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  19. Prove that sqrtp+sqrtq is an irrational, where p and q are primes.

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  20. Show that the cube of a positive integer of the form 6q+r,q is an inte...

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