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Prove that √2 is an irrational number.
Assertion (A) : For any two natural numbers a and b, the HCF of a and b is a factor of the LCM of a and b. Reason (R) : HCF of any two natural numbers divides both the numbers.
State the "Fundamental Theorem of Arithmetic" and use it to find LCM of 36 and 54.
If p = 2³ × 3² × 5 and q = 2² × 3³, then the LCM of p and q is :
The LCM of two numbers is 3600. Which of the following can not be their HCF ?
The traffic lights at three different road crossings change after every 45 seconds, 75 seconds and 60 seconds respectively. If they change together at 5.00 a.m., then at what time they will change together next ?
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