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A big spherical besan ladoo of radius 810 cm is broken into smaller spherical laddoos of radius 90 cm. Find the ratio of the total surface area of all the small laddoos taken together to the surface area of the big laddoo.

During Diwali sale, company A gives buy 4 sweaters and get 2 free' offer, company B gives buy 2 sweaters and get 3 free' offer, and company C gives a discount of 5%.

Which of the following is true?

1. A gives the best offer for the customer.
2. B gives the best offer for the customer.
3. Both A and B actually give the same offer.
4. C gives the best offer.

A and B together can knit a sweater in 255 hours, B and C can knit it together in 170 hours, while A and C can knit it together in 204 hours. How many hours will A, B and C together take to knit the sweater?

A sum of money invested on compound interest for 2 years at 20% interest per annum would fetch Rs. 482 more as interest if the interest is compounded half-yearly than yearly. What is the sum invested?

The ratio of the present ages of Rani and Rohan is 3 ∶ 4. After 3 years the ratio will become 4 ∶ 5. The ratio of their ages 24 years from now will be _______.

Find the average of all the prime numbers that lie between 70 and 100. 

What profit percent is made by selling an article at a certain price if by selling at $\frac{4}{5}$th of that price there is a loss of 12%?

Divide 2310 people into three parties such that half of the number in the first party, one-third of the number in the second party and one-sixth of the number in the third party, are all equal.

85 g of sugar solution has 30% sugar in it. The quantity of sugar that should be added to the solution to make the quantity of the sugar 65% in the solution is ______.

A boat covers a distance of 1 km against the current of the stream in half an hour and a distance of 3 km in the direction of the current in 30 minutes. How long will it take for the boat to go 8 km in still water?