# NCERT Question Solutions

### 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.

Question: Use Euclid’s division lemma to show that the square of any positive integer is either of the form 3m...

### 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: An army contingent of 616 members is to march behind an army band of 32 members in a parade....

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

Question: Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q...

### Use Euclid’s division algorithm to find the HCF of: 867 and 225

Question: 1: Use Euclid’s division algorithm to find the HCF of: I. 135 and 225 Class 10th Subject...

### Use Euclid’s division algorithm to find the HCF of: 135 and 225

Question: 1: Use Euclid’s division algorithm to find the HCF of: I. 135 and 225 Class 10th Subject...

### Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.” (Isn’t this interesting?) Represent this situation algebraically and graphically.

Question: Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three...