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The least common multiple (LCM) of two prime numbers, 'a' and 'b', is given as 221, with 'a' being smaller than 'b'. Determine the value of 'b'.

210 liters of oil was poured into a tank, which was still 30% empty. How much oil must be poured into the tank to fill it to the brim? 

2Kg of sugar at Rs 20 per Kg is mixed with 3 Kg of 2nd type of sugar to get a mixture costing Rs 35 per Kg. Find the price of the costlier sugar  ?

The speed of the boat exceeds the speed of the stream by 66.67%. Determine the speed of the boat in still water.

(141.95 – 112.06) × (45.21 – 38.99) = ?

Find the third proportion of 14 and 28.

The three digits of a three-digit number are in the ratio 3:2:5. If 111 is added to this number, what is the sum of the digits of the resulting number?

Find the smallest number which when successively divided by 4, 7 and 5 will give the remainder 2, 1, 3.