In ∆ABC, the bisector of ∠A intersects side BC at D. If AB = 12 cm, AC = 15 cm and BC= 18 cm, then the length of BD is:

What price should Neeraj mark on a shirt that costs 840, so as to earn a profit of 18% after allowing a discount of 16% on the marked price?

An isosceles triangle ABC is right angled at B.D is a point inside the triangle ABC. P and Q are the feet of the perpendiculars drawn from D on the side AB and AC respectively of ∆ ABC. If AP = a cm, AQ = b cm and ∠BAD = 15°, sin 75°=

A sum of money amounts to 5,200 in 5 years and to 5,680 in 7 years at simple interest. The rate of interest per annum is-

Direction: What value will come in place of the question mark (?) in the following question?

42, 67, 116, ?, 406, 695

What is the degree of the differential equation $$y=x\left({dy\over dx} \right)^2+ \left({dx\over dy} \right)^2 ? $$

The respective ratio of, the present age of a Monika and Divya is 7 : 1. Four years ago the respective ratio of their age was 19 : 1. What will be the Monika’s age four years from now?

By what least number should 21600 be multiplied to make it a perfect square?