# NCERT Solutions For Class 10 Math’s Chapter 1 Real Numbers Ex 1.1

Ex 1.1 Class 10 Maths Question 1.

Use Euclid’s Division Algorithm to find the HCF of:

(i) 135 and 225

(ii) 196 and 38220

(iii) 867 and 255

Solution:

Ex 1.1 Class 10 Maths Question 2. Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer. Solution

Ex 1.1 Class 10 Maths 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?

Solution:

Ex 1.1 Class 10 Maths Question 4.

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.

Solution:

Ex 1.1 Class 10 Maths Question 5.

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

Solution:

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