EXTRA QUESTIONS CLASS X CH-1 REAL NUMBERS

1 MARK QUESTIONS

Q.1) Write whether the rational number 7/75 will terminating decimal expansion or a non terminating repeating decimal expansion.

Q.2) Find the HCF of 96 and 404 by the prime factorisation method. Hence, find their LCM.

Q.3) A rational number in which it's decimal expansion is 327.7081 . What can you say about the prime factors of q,when this number is expressed in the form of p/q. Give reasons.

Q.4) An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. Find the maximum number of columns in which they can March.

Q.5) Two positive integers p and q can be expressed as p= a(b)2 and q= (a)2b. a and b are prime numbers . What is the LCM of p and q?

Q.6 Find the missing numbers in the following factor tree. 

Q.7) Without actually performing the long division, 13/3125 will have terminating decimal expansion or non terminating decimal expansion.

2 marks questions

Q.1 Express 23150 as product of its prime factors. Is it unique?

Q.2 Prove that 5-√3 is irrational number.

Q.3) Find the greatest number that will divide 382,509 and 636 leaving remainders 4,5,6 respectively.

Q.4) In a school, there are two sections A and B of class 10. There are 32 students in section -A and 36 students in section -B . Determine the minimum number of books required for their class library so that they can be distributed equally among students of both the sections.

Q.5) Prove that 2+√5 is an irrational number.

Q.6) On a morning walk, three persons step off together and their steps measure 40cm,42cm,45 cm respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps? 

Q.7) Find the missing number which divides 285 and 1249 leaving remainders 9 and 7 respectively.

Q.8) If the HCF of 210 and 55 is expressible in the form 210*5+55y ,find y.

Q.9) Three sets of English, Hindi and mathematics books have to be stacked in such a way that all the books are stored topic wise and the height of each stack is the same. The number of English books is 96, the number of Hindi books is 240 and the number of mathematics books is 336 . Assuming that the books are of the same thickness, determine the number of stacks of English, Hindi and mathematics books.