Linear and Quadratic Equations

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Modulus of a number cannot be negative. A simple idea that somehow escapes our mind every now and then.

Maximum, Minimum

    Consider three numbers a, b and c. Max (a,b,c) + Min (a,b,c) = 13. Median (a,b,c) - Mean (a,b,c) = 2. Find the median of a, b, and c.
    1. 11.5
    2. 9
    3. 9.5
    4. 12


  • Correct Answer
    Choice C. 9.5

Explanatory Answer

Detailed Solution

The numbers can be arranged in ascending order thus:
Min < Median < Max
According to the question,
Min + Max = 13

Median - = Median - = 2.

Solving, we get Median = 9.5.

Correct Answer: 9.5

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Solving equations well is an integral part to cracking any competitive exam. Get cartloads of practice on these two topics.