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Distance of a chord JK from the centre is 7 cm. If diameter of this circle is 50 cm, then what will be length of this chord?

The average height of two men, J and K, is 171 cm. Another man, L, joins them, bringing the average height to 166 cm. If another man, M, whose height is 21 cm greater than L's, replaces J, the average height of K, L, and M becomes 161 cm. What is J's height?

The difference between the compound interest (compounded annually) and the simple interest on a sum of money at 40% per annum for 2 years is Rs. 2400. What is the amount?

D sells a table to E at a profit of 40 percent and E sells it to F at a loss of 40 percent. What is the ratio of the purchase prices of D and F?

A cone is placed on top of a cylinder. The bases of the cone and cylinder are congruent. The height of the conical portion is 6 cm and the height of the cylindrical portion is 4 cm. If the diameter of the cone is 21 cm, what is the volume of the solid?

M and N together can complete a task in 80 days. They begin working together, but M leaves after 40 days. If N completes the remaining work in another 100 days, in how many days can M complete the entire task alone?

What is the solution to the following system of equations?

3x + 2y + z = 2

4x + 3y - z = 7

2x + 7y + 2z = -7

What is the sum of the first five prime numbers?

Two numbers are in the ratio 13 : 5. If their sum is 54, what is the sum of the squares of the two numbers?

A person lends a certain sum of money at 5 percent per annum simple interest and the interest received in 16 years is Rs 700 less than the amount lent. What is the amount lent?