REAL NUMBERS - CASE STUDY 1
REAL NUMBERS - CASE STUDY
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.
Q. 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 ?
Ans: 32 = 25, 36 = 22⋅32 ⇒ LCM = 25⋅32 = 32⋅9 = 288 , Option: a) 144 b) 128 c) 288 d) 272
Q. 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
Ans: gcd(32,36) = 4. (Also 32×36 = HCF×LCM always.), Option: a) 2 b) 4 c) 6 d) 8
Q. 7x11x13x15x15 is a
Ans: It has factors (15 = 3×5), so the product is composite, Option: a) Prime number b) Composite number c) Neither prime nor composite d) None of the above
