If sinθ – cosθ = 7/13 and 0⁰ < θ < 90⁰ , then the value of sinθ + cosθ is :

A hemispherical cup of radius 4 cm is filled to the brim with coffee. The coffee is then poured into a vertical cone of radius 8 cm and height 16 cm. The percentage of the volume of the cone that remains empty is:

Geeta weighs 11.235 kg . Her sister weighs 1.4 times her weight . Find their combined weight ? 

Select the number that will come in place of the question mark (?) in the following mathematical statement.

$${5\over 9} \ of \ {11\over 14}\ 42\% \ of \ 540=?^2 -45 $$

200 litres of mixture contains 15% water and the rest is milk. The  amount of milk that must be added so that the resulting mixture contains 87.5 % milk is:

The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average one number, namely 36, was wrongly read as 26. The correct average is: 

The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ? 

What is the central angle of the sector corresponding to the expenditure incurred on Royalty?