# CBSE NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 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

### 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 for 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.

### 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?

### 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 for Ex 1.1 Class 10 Maths Question 4 ### 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 for Ex 1.1 Class 10 Maths Question 5 