In a circle with centre O, AB is the diameter. P and Q are two points on the circle on the same side of the diameter AB. AQ and BP intersect at C. If ∠POQ = 54°, then the measure of ∠PCA is:

The line graph shows the number of vacancies of accountants in a certain company. Study the diagram and answer the following questions.

In which year maximum vacancies produced?

The greatest four digit number which is exactly divisible by each one of the numbers 12, 18, 21 and 28.

4 boys and 3 girls spent Rs. 120 on an average, of which boys spent Rs. 150 on the average. Then the average amount spent by the girls is.

6 kg sugar costing Rs. 10/kg is mixed with 4 kg sugar costing Rs. 15/kg. What is the average cost of the mixture per kilogram?

In a quadrilateral ABCD, E is a point in the interior of the quadrilateral such that DE and CE are the bisectors of ∠D and ∠C, respectively. If ∠B = 82° and ∠DEC = 80°, then ∠A = ?

Direction: Study the line graph carefully to answer the following questions.
Line graph shows the production (in thousand units) and percentage of exported mobiles, computers and laptops.

Find the total number Mobiles exported in the year 2011, 2013 and 2015 together? 

The value of $$ {(cos {\ 9°}+sin{\ 81°}})({sec {\ {9°}+cosec{\ 81°}}})\over{sin{\ 56°}sec{\ 34° }}+ {cos{\ 25°}cosec{\ 65°}}$$ is: