Numbers and Sequences MATHS - Numbers and Sequences

Find the sum of the following series
1 + 3 + 5 + ... + 71

Find the sum of the following series
1 + 4 + 9 + 16 + ... + 225

Find the sum of the following series
1 + 2 + 3 + ... + 60

Show that 107 is of the form 4q +3 for any integer q

A milk man has 175 litres of cow’s milk and 105 litres of buffalow’s milk. He wishes to sell the milk by filling the two types of milk in cans of equal capacity. Calculate the following :
Capacity of a can

A milk man has 175 litres of cow’s milk and 105 litres of buffalow’s milk. He wishes to sell the milk by filling the two types of milk in cans of equal capacity. Calculate the following :
Number of cans of cow’s milk

A milk man has 175 litres of cow’s milk and 105 litres of buffalow’s milk. He wishes to sell the milk by filling the two types of milk in cans of equal capacity. Calculate the following :
Number of cans of buffalow’s milk

A man saved ₹ 16500 in ten years. In each year after the first, he saved ₹ 100 more than he did in the preceding year. How much did he save in the first year?