Number Systems-Sample Papers

Test
Real Numbers
Time: 30 Minutes
Maximum Marks- 25
Q. 1  The decimal expansion of will terminate after how many places of decimal?
            (a)   1
(b)   2
(c)   3
(d)   4
   (1)
Q. 2  Which of the following is a rational number?
            (a)   
(b)   
(c)   
(d)   
   (1)
Q. 3  Express 32760 as a product of Prime factors.(2)
Q. 4  State whether the following rational numbers will have a terminating decimal expansion or non-terminating repeating decimal expansion:
            (a)   
(b)   
(c)   
(b)   
            Justify your answer.(3)
Q. 5  Prove that is irrational (Proceed with justifying as irrational)(4)
Q. 6  (a) Given that HCF (161,345) = 23, find their LCM.(2)
(b)   Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.(2)