If (x - 4) (x2 + 4x + 16) = x3 - P, then P is equal to

If a + b = 10 and ab = 21, then the value of (a - b)2 is

The average of marks obtained by 100 candidates in a certain examination is 30. If the average marks of passed candidates is 35 and that of the failed candidates is 10, what is the number of candidates who passed the examination?

The sum of 10 terms of the arithmetic series is 390. If the third term of the series is 19. Find the first term

If cos 27° = x, the value of tan 63° is

ABCD is a cyclic trapezium in which AD || BC. If ∠ABC = 70°, then ∠BCD is

The orthocentre of a triangle is the point where

If 2x+13x = 5, the value of 5x6x2+20x+1 is