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REAL NUMBERS- CASE STUDY, , REAL NUMBERS- VASE Se, , CASE STUDY 1., , , , To enhance the reading skills of grade X students, the school nominates you and, two of your friends to set up a class library. There are two sections- section A and, , section B of grade X. There are 32 students in section A and 36 students in section, , B., , , , , , 4. What is the minimum number of books you will acquire for the class library, so, that they can be distributed equally among students of Section A or Section, B?, , a) 144, b) 128, c) 288, d) 272, , 2. If the product of two positive integers is equal to the product of their HCF and, , LCM is true then, the HCF (32 , 36) is, a) 2, b) 4, c) 6, d) 8

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3. 36 can be expressed as a product of its primes as, eo) ase, , Bb): 2 35, , @), 22°, 4 7x11x13x15+15isa, a) Prime number, b) Composite number, c) Neither prime nor composite, d) None of the above, 5. If p and q are positive integers such that p = ab” and g= a*b, where a , b are, prime numbers, then the LCM (p, q) is, a) ab, b) ab?, 6) ab?, d) ab?, ANSWERS, c) 288, b)4, aye <3, b) composite number, b) a2b?, , ee, , CASE STUDY 2:, , A seminar is being conducted by an Educational Organisation, where the, participants will be educators of different subjects. The number of participants in, Hindi, English and Mathematics are 60, 84 and 108 respectively.

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1. In each room the same number of participants are to be seated and all of, them being in the same subject, hence maximum number participants that, can accommodated in each room are, , a) 14, b) 12, c) 16, d) 18, 2. What is the minimum number of rooms required during the event?, a) 11, b) 31, c) 41, d) 21, 3. The LCM of 60, 84 and 108 is, a) 3780 i, b) 3680 3, , i, , c) 4780, d) 4680, 4. The product of HCF and LCM of 60,84 and 108 is

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CASE 8TUDY 3, , A Mathematies Exhibition is bei 19 conducted in your School and one of your friends, , is making a model of a factor tree. He has some difficulty and asks for your help in, , eompleting a quiz for the audience, , Observe the following factor tree and answer the following:, , , , , , , , , , , , , , , , , , , , , , , , , , nN, wn, Os, , , , , , , , , , , , , , \, , , , ll z, , , , , , , , , , , , 1. What will be the value of x?, , a) 15005, , b) 13915, , c) 56920, , d) 17429, , 2. What will be the value of y?, a) 23, , b) 22, , ce) 11, , d) 19, , 3. What will be the value of z?, a) 22, , b) 23, , ec) 17, , d) 19

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4. According to Fundamental Theorem of Arithmetic 13915 is a, a) Composite number, , b) Prime number, , c) Neither prime nor composite, , d) Even number, , 5. The prime factorisation of 13915 is, , a) Sia 137, , b). Sx 21s 23?, , e) Sx 523, , qd) 5107 «15, , ANSWERS, , 1. b) 13915, , 2 eit, , 3. 6)23, , 4. a) composite number, , 5 eS x 112 % 23, , POLYNOMIALS- CASE STUDY, , CASE STUDY 1:, , The below picture are few natural examples of parabolic shape which is represented, by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In, structures, their curve represents an efficient method of load, and so can be found in, , bridges and in architecture in a variety of forms.