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RD SHARMA-REAL NUMBERS-All Questions
- Show that one and only one out of n ,n+2or ,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 5 ...
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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, w...
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- A circular field has a circumference of 360km. Three cyclists start ...
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- In a morning walk three persons step off together, their steps measure...
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- Prove that sqrt(2)+sqrt(5) is irrational.
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- Show that there is no positive integer n for which sqrt(n-1)+sqrt(n+1...
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- A merchant has 120 litres of oil of one kind, 180 litres of another ...
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- Two brands of chocolates are available in packs of 24 and 15 respec...
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- What is the largest number that divides 626, 3127 and 15628 and lea...
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- Find the greatest number that will divide 445, 572 and 699 leaving ...
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- Two tankers contain 850 litres and 680 litres of petrol respectively. ...
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