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Real Numbers

Question

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There are 68 boys and 76 girls in class X of a school. The principal of school decided to have the maximum number of mixed sections in which the number of boys and number of girls should remain the same in all sections. It is not necessary that there is equal number of boys and girls in a section. What is the maximum number of sections in the school.

Solution

4

Some More Questions From Real Numbers Chapter

Use Euclid’s division algorithm to find the HCF of:
(i)135 and 225 (ii) 196 and 38220.

Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer.

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?

Use Euclid’s division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m.

Use Euclid’s division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8.

Express each number as a product of its prime factors: (i) 140

Express each number as a product of its prime factors: (ii) 156

Express each number as a product of its prime factors: (ii) 156 (iii) 3825 (iv) 5005 (v) 7429

Express each number as a product of its prime factors: (iv) 5005

Express each number as a product of its prime factors: (v) 7429

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