- Statements After Reviewing Work Done Earlier
- Statements After Illustrating
- Real Numbers part 6 (Fundamental Theorem of Arithematic)
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Find the LCM and HCF of the following integers by applying the prime factorisation method
(i) 12, 15 and 21
(ii) 17, 23 and 29
(iii) 8, 9 and 25
Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers
(i) 26 and 91
(ii) 510 and 92
(iii) 336 and 54
Consider the number 6n where n is a natural number. Check whether there is any value of n ∈ N for which 6n is divisible by 7.
There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?
A merchant has 120 liters of oil of one kind, 180 liters of another kind and 240 liters of third kind. He wants to sell the oil by filling the three kinds of oil in tins of equal capacity. What should be the greatest capacity of such a tin?
Consider the number 12n where n is a natural number. Check whether there is any value of n ∈ N for which 12n ends with the digital zero.