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Use Euclid’s division lemma to show that the square of any positive integer is either of form 3m or 3m + 1 forsome integer m.
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An army contingent of 616 members is to march behind an army band of 32 members in a parade. The twogroups are to march in the same number of columns. What is the maximum number of columns in whichthey can march?
Answer : HCF (616, 32) will give the maximum number of columns in which they can march.We can use Euclid's algorithm to find the HCF.616 = 32 x 19 + 832 = 8 x 4 + 0The HCF (616, 32) is 8.Therefore, they can march in 8 columns each Next NCERT Solution Class 10th...

Show that any positive odd integer is of the form 6q + 1 or 6q + 3 or 6q + 5; where q is some integer.
Show that any positive odd integer is of the form 6q + 1 or 6q + 3 or 6q + 5; where q is some integer. Here’s a detailed and easy-to-understand explanation for your query: Proof: Any Positive Odd Integer is of the Form 6q + 1, 6q + 3, or 6q + 5 To prove that any...
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