A person invests money in three different schemes for 6 years, 10 years and 12 years at 10%, 12% and 15% simple interest respectively. At the completion of each scheme, he gets the same interest. The ratio of his investments is-

A sum of Rs.13,000 is to be paid back in 2 equal annual instalments. How much is each instalment if the interest is compounded annually at 8 % per annum?

The annual payment of Rs.1000 in  5 years at 4% per annum simple interest will discharge a debt of

ΔABC is an equilateral triangle in which D, E and F are the points on sides BC, AC and AB, respectively, such that AD ⊥ BC, BE ⊥ AC and CF ⊥ AB. Which of the following is true?

If tan (11 θ)=cot (7θ), then what is the value of sin²(6 θ) + Sec² (9 θ) + cosec²(12 θ)?

The value of $$ {5-[2+3(2-2× 2 +5)-5]÷5}\over {4×4÷4}of(4+4÷4 of 4)$$ is:

A line touches a circle of a radius 6 cm. Another line is drawn which is tangent to the circle. If the two lines are parallel then the distance between them is:

What is the value of $${0.74×1.23×0.13\over (0.37)^{3}+(0.41)^{3}-8(0.39)^{3}}$$ ?