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NCERT Class-10 Maths Chapter-1: Real Numbers

  (consider clicking the follow button for our efforts. It is similar to subscribe in YouTube) Exercise-1.1 1. Use Euclid’s division algorithm to find the HCF of : (i) 135 and 225 (ii) 196 and 38220 (iii) 867 and 255 2. Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer. 3. 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? 4. 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. [Hint : Let x be any positive integer then it is of the form 3q, 3q + 1 or 3q + 2. Now square each of these and show that they can be rewritten in the form 3m or 3m + 1.] 5. Use Euclid’s division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8. Answers:-       ...
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Information Technology class-10 (code: 402) MCQ'S and BOOK SOLUTIONS

Click on the link to reach the MCQ's and solutions              (consider clicking the follow button for our efforts. It is similar to subscribe in YouTube) MCQ's (100 each) :- Digital Documentation class 10 MCQ Questions Electronic Spreadsheet Advanced Class 10 MCQ RDBMS Class 10 MCQ Questions ICT Skills (part-A) MCQ's Self Management Skills (part-A) MCQ's Book Solutions :- Digital Documentation Book Solutions Electronic Spreadsheet (Advanced) Book Solutions RDBMS(Basic) Book Solutions click on the follow button to get instant notification on upload of new mcq's
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Great Mathematicians NCERT wants class 10 students to know......

             (consider clicking the follow button for our efforts. It is similar to subscribe in YouTube) 1. Mu hammad ibn Musa al-Khwarizmi (C.E. 780 – 850) An algorithm is a series of well defined steps   which gives a procedure for solving a type of problem. The word algorithm comes from the name of the 9th century Persian mathematician al-Khwarizmi. In fact, even the word ‘algebra’ is derived from a book, he wrote, called Hisab al-jabr w’al-muqabala. A lemma is a proven statement used for proving another statement. 2. Carl Friedrich Gauss  (1777 – 1855) An equivalent version of Theorem 1.2 (refer book) was probably first  recorded as Proposition 14 of Book IX in Euclid’s Elements, before it came to be known as the Fundamental Theorem of Arithmetic. However, the first correct proof was given by Carl Friedrich Gauss in his Disquisitiones Arithmeticae. Carl Friedrich Gauss is o...
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Great Mathematicians NCERT wants class 9 students to know......

               (consider clicking the follow button for our efforts. It is similar to subscribe in YouTube) Pythagoras (569 BCE – 479 BCE) The Pythagoreans in Greece, followers of the famous mathematician and philosopher Pythagoras, were the first to discover the numbers which were not rationals, around 400 BC. These numbers are called irrational numbers (irrationals), because they cannot be written in the form of a ratio of integers. There are many myths surrounding the discovery of irrational numbers by the Pythagorean, Hippacus of Croton. In all the myths, Hippacus has an unfortunate end, either for discovering that √2 is irrational or for disclosing the secret about √2 to people outside the secret Pythagorean sect ! G. Cantor (1845-1918)  &  R. Dedekind (1831-1916)   In the 1870s two German mathematicians, Cantor and Dedekind, showed that: Corresponding to every real number, there is a point on the real n...
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