If A = 30°, B = 60° and C = 135°, then what is the value of sin3A + cos3B + tan3C – 3sin A cos B tan C?
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If p/q = r/s = t/u = √5, then what is the value of [(3p2 + 4r2 + 5t2)/(3q2 + 4s2 + 5u2)]?
If x – y – √18 = –1 and x + y – 3√2 = 1, then what is the value of 12xy(x2 – y2)?
If (x – y) = 7, then what is the value of (x – 15)3 – (y – 8)3?
If (x – 2) and (x + 3) are the factors of the equation x2 + k1x + k2 = 0, then what are the values of k1 and k2?
In the given figure, triangle represents the healthy, square represents the old, and circle represents the men. Find out the area of the figure whichrepresents the "men who are healthy but not old".
He has the irritating habit of playing his own trumpet all the time.
Which value among 53, 64,126,27612 is the largest?