CBSE MATHEMATICS (IX-X)

  X th   MATHEMATICS ASSIGNMENT 100424_002 CH.01 REAL NUMBERS   (To prove given number as irrational) Click here to get  same document in pdf form 

  X th   MATHEMATICS ASSIGNMENT 100424_001 CH.01 REAL NUMBERS   (Applications of HCF and LCM) Q.1   Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together? (excluding the one at start)     [ ANS: LCM(2,4,6,8,10,12) = 120 sec= 2 min. ,    15 times] Q.2 The traffic lights at three different road crossings change after every 48 sec, 72 sec and 108 sec respectively. If they all change simultaneously at 8:20:00 hrs, when will they again change simultaneously ?                           [ ANS:  LCM=  432 seconds  =  7 min 12 sec .  Hence  answer is 08:27:12 hrs] Q.3 A merchant has 120 ltrs of and 180 ltrs of two kinds of oil. He wants the sell oil by filling the two kinds of oil in tins of equal volumes. What is the greatest of such a tin.   [ ANS: HCF =60 ltrs.] Q.4 Find the least number of soldiers in a regiment such that they stand in rows of 15, 20, 25 and form a p

NCERT textbooks for Class X Maths cover a wide range of topics that are essential for building a strong foundation in mathematics. Some of the most important questions from the NCERT textbook for Class X Maths include: 1. Real Numbers : Questions related to properties of real numbers, Euclid's division lemma, and the fundamental theorem of arithmetic. 2. Polynomials : Questions on finding zeros of polynomials, factorization of polynomials, and relationships between the zeros and coefficients of polynomials. 3. Quadratic Equations: Questions on solving quadratic equations using different methods such as factorization, completing the square, and the quadratic formula. 4. Arithmetic Progressions : Questions on finding the nth term of an arithmetic progression, sum of n terms of an AP, and applications of AP in real-life situations. 5. Triangles : Questions on properties of triangles, congruence and similarity of triangles, Pythagoras theorem, and applications of trigonomet