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RD SHARMA-REAL NUMBERS-All Questions
- Two sets of English and social science books containing 336 and 96 res...
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- Find the HCF of 81 and 237 and express it as a linear combination of 8...
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- Find the largest number that will divide 398, 436 and 542 leaving r...
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- Let a,b,c,k be rational numbers such that k is not perfect cube if a ...
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- Prove that for any prime positive integer p ,sqrt(p) is an irrational ...
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- Let A B C D be a tetrahedron such that the edges A B ,A Ca n dA D a...
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- 15 Pastries and 12 biscuit packets have been donated for a school fete...
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- The length, breadth and height of a room are 8m and 25cm, 6m and 75m ...
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- Let a and b be positive integers. Show that sqrt2 always lies between...
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- State whether the following are true or not: 3|93 (ii) 6|28 (iii) 0...
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- State whether the following are true or not: -7|-35 (ii) 6|6 (iii) ...
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- Show that every positive even integer is of the form 2q , and that ...
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- Show that any positive integer is of the form 3q or, 3q+1 or, 3q+2 ...
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- Show that any positive odd integer is of the form 4q+1 or 4q+3 , wh...
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- Show that n^2-1 is divisible by 8, if n is an odd positive integer.
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- Show that the square of any positive integer is of the form 3m or, ...
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- Use Euclids division Lemma to show that the cube of any positive in...
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- Prove that the product of two consecutive positive integers is divi...
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- For any positive integer n , prove that n^3-n divisible by 6.
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- Prove that if a positive integer is of the form 6q+5 , then it is o...
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