Question

32
MATHEMATICS
(1) 135 and 225
(iv) 272 and 1032
(vii) 384 and 1296
(111) 867 and 255
(vi) 155 and 1385
1. Use Euclid's division algorithm to find the HCF of:
2. Show that any positive odd integer is of the form 69 +1, or 69 +3, or 69 +5, where q is
3. 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 number of columns. What is the
maximum number of columns in which they can march?
4. Use Euclid's division lemma to show that the square of any positive integer is either of
[Hint: Let x be any positive integer then it is of the form 39,39 +1 or 39+2. Now square
each of these and show that they can be rewritten in the form 3m or 3m +1.]
5. Use Euclid's division lemma to show that the cube of any positive integer is of the form
6. Himadri has a collection of 625 Indian postal stumps and 325 International postal
EXERCISE 1.1
(ii) 196 and 38220
(v) 405 and 2520
(vii) 1848 and 3058
the form 3m or 3m +1 for some integer m.
9m, 9m + 1 or 9m +8.
some integer.
stumps. She wants to display them in identical groups of Indian and International
Stumps with no stump left out. What is the greatest number of groups Himadri
7. Two ropes are of length 64 cm and 80 cm. Both are to be cut into pieces o
equal length. What should be the maximum length of the pieces?
can display the stumps?​

Answer 1

Answer:

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