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Class X Session 2023-24 Question 1

   MATH  SAMPLE QUESTION PAPER   Class X Session 2023-24    MATHEMATICS STANDARD (Code No.041) Question 1 If two positive integers a and b are written as   \[ a = \ x^3y^2 \ and \ b =\ xy^3 \]  , where x, y are prime numbers, then the result obtained by dividing the product of the positive integers by the LCM (a, b) is : (a) xy (b) xy2 (c) x3y3 (d) x2y2 Explanation:  First, understand the Prime number  A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself Example of prime Numbers 2, 3 , 5,7,11  , Let's take the number 5 for example. It is only divisible by 1 and itself. Similarly, 11 is also only divisible by 1 and itself.    Let's understand LCM (Least Common Multiple) of two numbers as an example Let's find the LCM of 12 and 15.  To find the LCM, we need to find the smallest multiple that both numbers share how can you write the Prime factorizati...