## Wednesday, September 28, 9707

### Mathematics: Edugain :Guess Questions:10th Real Numbers

 1)    State whether 6/15 will have a terminating decimal expansion or a non-terminating repeating decimal. 2)    State whether35/50 will have a terminating decimal expansion or a non-terminating repeatingdecimal. 3)    Find the LCM and HCF of 192 and 8 and verify that LCM × HCF = product of the two numbers. 4)    Use Euclid’s algorithm to find the HCF of 4052 and 12576. 5)    Show that any positive odd integer is of the form of 4q + 1 or 4q + 3, where q is some integer. 6)    Use Euclid’s division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m. 7)    Prove that 3√2 5 is irrational. 8)    Prove that 1/√2 is irrational. (3 marks) 9)    In a school there are tow sections- section A and Section B of class X. There are 32 students in section A and 36 students in section B. Determine the minimum number of books required for their class library so that they can be distributed equally among students of section A or section B. 10) Express 3825 as a product of its prime factors. 11) Find the LCM and HCF of 8, 9 and 25 by the prime factorization method. 12) Find the HCF and LCM of 6, 72 and 120, using the prime factorization method. 13) State whether 29/343 will have a terminating decimal expansion or a non-terminating repeating decimal. 14) State whether 23/ 23 52 will have a terminating decimal expansion or a non-terminating repeating decimal 15) Find the LCM and HCF of 336 and 54 and verify that LCM × HCF = product of the two numbers

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