If △ABC is right angled at B, AB = 12 cm and ∠CAB = 60°, determine the length of BC.

If $$ {(x-2)^{2}+(y-{1\over2})^{2}}=0$$, then the value of $$ {x\over y}$$ is

The diameter of the circle with center O is AB. PQ is the chord that does not intersect AB. Join AP and BQ. If ∠BAP = ∠ABQ,  then what will be ABQP?

If the average marks of three batches of 30, 50 and 70 students is 55, 70 and 70 respectively, then the average marks of all the students is:

If A:B :: 6:11 and B:C :: 6:7, then A:C ::_____

Directions: Find the wrong number in the following number series:

2, 3, 8, 31, 154, 924, 6460

A and B start moving from places X and Y and Y to X, respectively, at the same time on the same day. After crossing each other, A and B take $$5{4\over 9}$$ hours and 9 hours, respectively, to reach their respective destinations. If the speed of A is 33 km/h, then the speed (in km/h) of B is:

'G' is centroid of ΔABC if AG = BC then find ∠BGC.