For the following questions answer them individually
ABCDis a cyclic quadrilateral, AB and DC when produced meet at P, if PA = 8 cm, PB = 6 cm, PC = 4 cm, then the length (in cm) of PDis
In a school there were 1554 students and the ratio of the number of the boys and girls was 4 : 3, After few days, 30 girls joined the school but few boys left; as a result the ratio of the boys and girls became 7 : 6. The number of boys who left the school is
If $$ 7sin^2 \theta + 3cos^2\theta = 4 $$, then the value of $$ tan \theta is ( \theta $$ is acute)
If $$ (Bx — 2y) : (2x + 3y) = 5: 6,$$ then one of value of $$ \left(\frac{\sqrt[3]{x} + \sqrt[3]{y}}{{\sqrt[3]{x} - \sqrt[3]{y}}}\right)^2 $$ is?
If $$ \tan A = n \tan B and  \sin A = m \sin B,$$ then the value of $$ \cos^2 A$$ is
In an office, 40% of the staff is female. 70%of the female staff and 50% of the male staff are married, The percentage of the unmarried staff in the office is
In an examination average mark obtained by the girls of a class is 85 and the average mark obtained by the boys of the same class is 87. If the girls and boys are in the ratio 4 : 5, average marks of the whole class (approx.) is closest to
Articles are marked at a price which gives a profit of 25%. After allowing a certain discount the profit reduces to $$ 12\frac{1}{2} \% $$. The discount percent is
A manufacturer fixes his selling price at 33% over the cost of production. If cost of production goes up by 12% and manufacturer raises his selling price by 10%, his percentage profit is
