In ΔABC, if G is the centroid and AD is a median with length 9 cm, then the length of AG is:

ABCD is a cycle quadrilateral and BC is diameter of the related circle on which A and D also lie. ∠BCA =19⁰ and ∠CAD=32⁰. What is the measure of ∠ACD?

Direction: What value will come in place of the question mark (?) in the following question?

8, 17, 53, ?, 1079, 6479

If m + n = 1, then what will be the value of m³ + n³ + 3mn?

If p, q, r are all real numbers, then (p – q)³ + (q – r)³ + (r – p)³ is equal to 

A and B together can complete a work in 20 days. A is 20 percent more efficient than B, B alone can complete the same work in how many days?

In △ABC, D and E are points on sides AB and AC, such that DE||BC. If AD=x+3, DB=2x-3, AE=x+1 and EC=2x-2, then the value of x is

The mode of the following data is __________.

13,15,31,12,27,13,27,30,27,28 and16