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RD Chapter 1 Real Numbers Ex VSAQS Solutions

Question - 11 : - The decimal expression of the rational number will terminate after how many places of decimals. [C.B.S.E. 2009]

Answer - 11 : -

The denominator of  is 24 x 53 which is in the form of 2m x 5n where m and n are positive integers 
 has terminating decimals
The decimal expansion of  terminates after 4 (the highest power is 4) decimal places

Question - 12 : - Has the rational number  of a terminating or a non terminating decimal representation ? 

Answer - 12 : -


Question - 13 : - Write whether   on simplification gives a rational or an irrational number. [CBSE 2010]

Answer - 13 : -


Question - 14 : - What is an algorithm ?

Answer - 14 : - Algorithm : An algorithm is a series of well defined slips which gives a procedure for solving a type of problem.

Question - 15 : - What is a lemma ?

Answer - 15 : - A lemma is a proven statement used for proving another statement.

Question - 16 : - If p and q are two prime numbers, then what is their HCF ?

Answer - 16 : - If p and q are two primes, then their HCF will be 1 as they have no common factor except 1.

Question - 17 : - If p and q are two prime numbers, then what is their LCM ?

Answer - 17 : - If p and q are two primes, their LCM will be their product.

Question - 18 : - What is the total number of factors of a prime number ?

Answer - 18 : - Total number of factors of a prime number are 2, first 1 and second the number itself.

Question - 19 : - What is a composite number ?

Answer - 19 : - A composite number is a number which can be factorised into more than two factors.

Question - 20 : - What is the HCF of the smallest composite number and the smallest prime number ?

Answer - 20 : -

We know that 2 is the smallest prime number and 4 is the smallest composite number
HCF of 2 and 4 = 2

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