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RD Chapter 1- Number Systems Ex-1.4 Interview Questions Answers

Question 1 : Define an irrational number.

Answer 1 : A number which cannot be expressed in the form of pq where p and q are integers and q ≠ 0 is called an irrational number.

Question 2 : Explain, how irrational numbers differ from rational numbers?

Answer 2 : A rational number can be expressed in either terminating decimal or non-terminating recurring decimals but an irrational number is expressed in non-terminating non-recurring decimals.

Question 3 : Examine, whether the following numbers are rational or irrational:

Answer 3 :


Question 4 : Identify the following as rational or irrational numbers. Give the decimal representation of rational numbers:

Answer 4 :


Question 5 : In  the following equation, find which variables x, y, z etc. represent rational or irrational numbers:

Answer 5 :


Question 6 : Given two rational numbers lying between 0.232332333233332… and 0.212112111211112.

Answer 6 : Two rational numbers lying between 0.232332333233332… and 0.212112111211112… will be 0.232 and 0.212

Question 7 : Give two rational numbers lying between 0.515115111511115… and 0.5353353335…

Answer 7 : Two rational numbers lying between 0.515115111511115… and 0.535335333533335… will be 0.515, 0.535

Question 8 : Find one irrational numbers between 0.2101 and 0.2222… =

Answer 8 : One irrational number lying between 0.2101 and 0.2222… =  will be 2201.0010001…


Question 9 :
Find a rational number and also an irrational number lying between the numbers, 0.3030030003… and 0.3010010001…

Answer 9 :

Between two numbers 0.3030030003… and 0.3010010001…, a rational will be 0.301 and irrational number will be 0.3020020002…

Question 10 : Find three different irrational numbers between the rational numbers 

Answer 10 :



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RD Chapter 1- Number Systems Ex-1.4 Contributors

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