PIS VADODARA STD 10

1.                 7  x 11 x 13 x 15+ 15 is a                  (a) Composite number (b) Whole number (c) Prime number (d) None of these       2.           The smallest composite number is:- (a) 1 (b) 2 (c) 3 (d) 4            3.           (2+( 2 +「5  ) ) is (a) rational (b) irrational (c) An integer (d) Not real            4.          2.13113111311113……is (a) a rational number (b) a non terminating decimal number (c) an               irrational number (d) both (a) & (c)       5.        Use Euclid’s division algorithm to find the HCF of 4052 and 12576       6.        Find the largest number which divides 245 and ...

  Exercise 1.1   Question 1:   Use Euclid’s division algorithm to find the HCF of: (i)                  135 and 225 (ii) 196 and 38220 (iii) 867 and 255 Question 2: Show that any positive odd integer is of the form 6 q + 1, or 6 q + 3, or 6 q + 5, where q is some integer. Question 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? Question 4: Use Euclid’s division lemma to show that the square of any positive integer is either of form 3 m or 3 m + 1 for some integer m . [ Hint: Let x be any positive integer then it is of the form 3 q , 3 q + 1 or 3 q + 2. Now square each of these and show that they can be rewritten in the form 3 m or 3 m + 1.] Question 5: Use Euclid’s division...