Number system|problem set 1|number basics,recurring decimals

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Hi everyone. Hope your preparations are going well.  have curated a few good problems on number basics mainly recurring decimals. Solve them and post your answers in the comment box. I'll be putting the solution links soon. The following questions test your basics and will give you a clear idea of what you can expect in an exam.

Before solving go through the theory here.

Number System:number basics problem set 1:


Find the value of .1777..+ .131313...?
         (1)5/15 (2) 17/55 (3) 31/99 (4) 147/990

Which among the following is a rational number?
         (1)  2^∛8  (2) .122222…(3)  .101001000…(4) both 1 and 2

What is the fraction form of 123.34565656....?

If N = .mnmnmn... and m and n are not necessarily distinct, how many values can the denominator take in N?

(1)5 (2) 1 (3) 3 (4) 4


Which of the following statement(s) is or are correct?
           (1)0 is an integer (2) the sum of two irrational numbers is always irrational (3) For two real   numbers a and b if a (4) product of two irrational numbers is always irrational (5) the sum and product of one rational and one irrational number is always irrational.

The sum of 18.6161616… and 22.363366336663..  is?
          (1)a rational number (2) an irrational number (3) an integer (4)none of these

If N = 0.mnmnmn...and M = 0.mnnnn... what is the least number with which N and M should be multiplied so that both of them become integers?

         (1)1900 (2) 990 (3) 2000 (4) 900

If a/b and m/n are two rational numbers then the relation |a/b|>|p/q| is?

          (1) always true (2)always false (3)never true (4) none of these

Here is the solution



So were you able to solve them? many more to come so keep following this space :)

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