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 is the L.C. M of  $$ {2\over 5},{3\over 10},{4\over 15}$$.

On selling an article for ₹651, there is a loss of 7%. The cost price of that article is

What value will come in place of question marks (?) in the following questions?

2632 ÷ 94 = ? + 53

Find the value of

 sin⁴30⁰ + cos⁴30⁰ – sin25⁰cos65⁰-sin65⁰cos25⁰

Direction: Study the following information carefully and answer the questions given below.
 25% of the boys and 60% of the girls from a college participated in an event. The total number of girls in the college is equal to the number of boys, who do not participate in the event.

If the difference the number of boys and girls, who participated in the event is 40, then the total number of boys and girls in the college is

In what time will ₹ 72 become ₹ 81 at $$6{1\over4}$$ % per annum simple interest?

The number of girls in a class is 20% more than the number of boys. There are total 66 students in this class. If 4 more girls are admitted in the class, then the ratio of the number of boys and girls will be?