Skip to main content

Chapter 1. Real Numbers

Chapter 1. Real Numbers

1.Express 140 as a product of its prime factors.(1-mark)
2.Find the LCM and HCF of 12, 15 and 21 by the prime factorization method.(1-mark)
3.Find the LCM and HCF of 6 and 20 by the prime factorization method.(1-mark)
4.State whether {{13} \over {3125}} will have a terminating decimal expansion or a non-terminating repeating decimal.(1-mark)
5.State whether {{17} \over 8} will have a terminating decimal expansion or a non-terminating repeating decimal.(1-mark)
6.Find the LCM and HCF of 26 and 91 and verify that LCM x HCF = product of the two numbers.(3-marks)
7.Use Euclid’s division algorithm to find the HCF of 135 and 225 (3-marks)
8.Use Euclid’s division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m. (3-marks)
9.Prove that \sqrt 3 is irrational.(3-marks)
10.Show that 5 - \sqrt 3 is irrational.(3-marks)
11.Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer.(3-marks)
12.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. What is the maximum number of columns in which they can march?
Labels:

Comments

Post a Comment

Popular posts from this blog

POLITICAL SCIENCE CLASS X CBSE - POLITICAL PARTIES

POLITICAL SCIENCE CLASS X CBSE POLITICAL PARTIES CHALLENGES TO POLITICAL PARTIES We know that how crucial political parties are for the democracy. They are the most visible face of the democracy and people blame them for whatever is wrong in the working of democracy. This is a case of our country too. Popular dissatisfaction and criticism has focused on four problem areas in the working of political parties. 1. LACK OF INTERNAL DEMOCRACY (with in the party): all over the world there is a tendency in the political parties towards the concentration of power in one or few leaders at the top. --parties do not keep membership registers, do not hold organizational meetings and conduct internal elections regularly. --ordinary members do not get sufficient information on what happens inside the party. --leaders assume greater power to make decisions in the name of party. --more than loyalty to the party principles and policies, personal loyalty to the lead...
12 comments
Read more

Chivvy (Class VII - English Honeycomb - Chapter 4)

NCERT Textbook Exercise Questions (Important only) Working with the Poem Q.2: The last two lines of the poem are not prohibitions or instructions. What is the adult now asking the child to do? Do you think the poet is suggesting that this is unreasonable? Why? Ans: In the last two lines the adults are asking the child to think himself and to be independent in taking decisions in some matters. The adults are asking to be firm and determined which is unreasonable because they themselves don’t allow the child to take any decision. They always tell him what to do or what not to do. So, their asking the child to make up his own mind is totally unreasonable. Q.3: Why do you think grown-ups say the kind of things mentioned in the poem? Is it important that they teach children good manners, and how to behave in public? Ans: The grown-ups say such kind of things to their children in order to teach those good manners, etiquettes and how to behave in public. It is important to teach the children ...
30 comments
Read more