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Class X : Maths
Chapter: Real Numbers
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Practice Exercises ( Advanced )

 

Q1. If a is a rational and  is irrational, then prove that (a + ) is irrational.
Solution a
(Marks 2)
Q2. In Maxfort School there are two sections in class X section A and section B.There are 18 students in section A and 24 students in section B. Determine the minimum number of Mathematics books required for their class library so that they can be distributed equally among the students of section A or section B.
Solution a
(Marks 2)
Q3. Show that every positive odd integer is of the form 4q + 1 or 4q + 3 for some integer q.
Solution a
(Marks 3)
Q4. Find without the actual division whether each of the rational numbers is a terminating or a non-terminating repeating decimal. Write the decimal form of those which have terminating decimal expansion.
(a)
(b)
(c)
Solution a
(Marks 3)
Q5. Find the largest positive integer that will divide 398, 436 and 542 leaving remainder 7, 11 and 15 respectively by using the Euclid's division algorithm.
Solution a
(Marks 5)
 
 
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