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Question

The maximum value of 5 + 20x - 4x², when x is a real number is

This question was previously asked in
SSC CGL 2016 (Tier 1) Previous Year Question Paper (11-Sep-2016) (Shift 2)
The correct answer is

30

The correct answer is option 4: 30.

The given equation is a quadratic equation in x. To find its maximum value, we can use the method of completing the square or finding the vertex of the parabola. The maximum value of the expression is 30 when x = 1.

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Important Questions from Maxima and Minima

  1. Four small squares of side x are cut out of a square of side 12 cm to make a tray by folding the edges. What is the value of x so that the tray has the maximum volume?

  2. The minimum value of the expression max {$p^2 - 2p + 4, -p^2 + 2p - 4$} in the range $0 \le p \le 1$ is:
  3. If $a^2 + b^2 + c^2 + d^2 = 1$, what will be the maximum value of the product abcd?
  4. If 3 ≤ x ≤ 10 and 5 ≤ y ≤ 15 , then maximum value of \(\left(\frac{x}{y}\right)\) is-

  5. If N is a four digit number formed by digits x 1, x 2, x 3and x 4, then maximum value of \(\frac{N}{x_{1}+x_{2}+x_{3}+x_{4}}\) is-

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