Question
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What will come in place of question mark (?) in the following number series?Solution
‘a’ is directly proportional to ‘b’. If at a=30, the value of ‘b’ is 20% greater than ‘a’, then find the value of ‘a’ when b=54.
...If x² + px + q = 0 has roots 4 and -3, find the values of p and q.
If √y + (1/√y) = 10, then find the value of y + (1/y).
 `sqrt(sqrt(17+sqrt(17+sqrt(17)) ... prop)`  = ?
If √x + 1/√x = 2 then find the value of 3x2 + 1/3x2.
If p = 40 - q - r and pq + r(q + p) = 432, then find the value of (p² + q² + r²).
If 64x3 - 343y3 = (4x - Ay) X (Bx2 + 49y2 + Cxy), then find the value of 3 X (2A + 6B) - 2C.
If a + b = 5 and ab = 6, find the value of a3 + b3.
If cos(A - B) = √3/2 and cot(A + B) = 1/√3, where A - B and A + B are acute angles, then (2A - 3B) is equal to:
If the length of a rectangle is increased by 40%, and the breadth is decreased by 20%,then the area of the rectangle increases by x%. Then the value of ...
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