Question

27. Use Euclid's Division Lemma to show that the square of any positive number is either
of the form 3m or 3m + 1 for some positive integer.
28. An army contingent of 616 members is to march behind an army band of 32
members in a parade. The two groups are to march in the same numbers of the
columns. What is the maximum number of columns in which they can march?
29. Find the HCF and LCM of the following pairs of integers and verify that LCM X HCF =
product of the two numbers.
(1) 26 and 91 (ii) 510 and 92 (iii) 336 and 54.
30. 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 star
at the same point and the same time and go in the same direction. After how many
minutes will they meet again at the starting point.
31. Prove that V5 is an irrational number.
2V3
32. Prove tha
are irrational numbers.
772
1​

Answer 1

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