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Find the largest number which divides 24...

Find the largest number which divides `245` and `1037`, leaving remainder `5` in each case.

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To find the largest number that divides both 245 and 1037, leaving a remainder of 5 in each case, we can follow these steps: ### Step 1: Subtract the remainder from both numbers We start by subtracting the remainder (5) from both numbers: - For 245: \[ 245 - 5 = 240 ...
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RS AGGARWAL-REAL NUMBERS-Test Youself
  1. Find the largest number which divides 245 and 1037, leaving remainder ...

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  2. The decimal representation of 71/150 is

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  3. which of the following has a terminating decimal expansion ?

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  4. On dividing a positive integers n by 9, we get 7 as remainder. What w...

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  5. 0.overline(68) + 0. overline(73) = ?

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  6. Show that any number of the form 4^(n),n ne N can never end with the...

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  7. The HCF of two numbers is 27 and their LCM is 162. if one of numbers i...

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  8. Examine whether 17/30 is a terminating decimal

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  9. Find the simplest form of 148/185

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  10. Which of the following numbers are irrational ? (a) sqrt2 (b) root3...

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  11. prove that (2 +sqrt3) is irrational.

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  12. Find the HCF and LCM of 12, 15, 18, 27

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  13. Give an example of two irrational numbers whose sum is rational

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  14. Give prime factrisation of 4620.

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  15. Find the HCF of 1008 and 1080 by prime factorisation method.

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  16. Find the HCF and LCM of 8/9 , 10/29 and 16/81

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  17. Find the largest number which divides 546 and 764 leaving remainders 6...

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  18. Prove that sqrt(3) is an irrational number.

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  19. Show that every positivee odd integer is the form ( 4q +1) , or ( 4q +...

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  20. Show that one and only one out of n,( n+2) and ( n +4) is divisble by ...

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  21. Show that (4 +3sqrt2) is irrational.

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