Point P lies outside a circle with centre O. Tangents PA and PB are drawn to meet the circle at A and respectively. If ∠APB =80⁰, then ∠OAB is is equal to:

Direction: What approximate value will come in place of the question mark (?) in the following question? (You are not expected to calculate the exact value)

(1110.02 + 89.81) ÷ ? – $${\sqrt{15}}$$= 15.98

What is the L.C.M of 12, 36, 6 and 9?

X can complete a piece of work in thrice the time taken to complete Y and Z together. If X and Y together can complete the work in $${9{3\over 5}\ }$$days and Z alone complete in 16 days, then find the no of days taken to complete the work by X alone?

The average of four consecutive even numbers is 9. Find the largest number. 

P₁ alone can do $${2\over 3}$$  of the work in 8 days. P₂ alone can do $${7\over 12}$$  of the work in 14 days. P₃ alone can do $${8\over 15}$$   of the work in 16 days. In how many days can they complete the work, if all three work together?

Direction: Read the following table carefully and answer the following questions:

Table shows the percentage of male and female employees in different education in a company and total number of males and females:

Find the average number of Undergraduate employees in a company.

If ABC is an equilateral triangle and D is a point on BC such that AD⊥BC, then