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RD SHARMA ENGLISH-REAL NUMBERS-All Questions
- Show that every positive even integer is of the form 2q, and that eve...
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- prove that there are infinitely many positive integers.
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- Determine the prime factorization of each of the following numbers: 13...
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- Express each of the following positive integers as the product of its ...
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- If a and b are two odd positive integers such that a > b, then prove t...
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- Prove that one of every three consecutive positive integers is divi...
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- Show that the square of an odd positive integer is of the form 8q+1, f...
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- Prove that the square of any positive integer is of the form 5q ,5q+1,...
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- Prove that if x and y are odd positive integers, then x^2+y^2 is even ...
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- Show that one and only one out of n ,n+2 or n+4 is divisible by 3, whe...
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- Prove that n^2-n divisible by 2 for every positive integer n.
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- The remainder when the square of any prime number greater than 3 is ...
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- Use Euclid’s division algorithm to find the HCF of 4052 and 12576.
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- Use Euclid’s division algorithm to find the HCF of 210 and 55.
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- If n is a natural number, then 9^(2n)-4^(2n) is always divisible by (a...
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- What can you say about the prime factorisations of the denominators of...
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- If p1a n dp2 are two odd prime numbers such that p1> p2, then p1 2-p2 ...
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- There is a circular path around a sports field. Priya takes 18 minutes...
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- A rectangular courtyard is 18m 72cm long and 13m 20cm broad. It is to ...
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- If the prime factorization of a natural number n is 2^3*3^2*5^2*6, wri...
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