Multiple choice

The marks obtained by a student of class X in first and second unit test are $35$ and $21$ respectively. Find the minimum marks he should get in the annual examination to have an average of at least $30$ marks

  1. $\displaystyle x\leq 34$
  2. $\displaystyle x\geq 34$
  3. $x > 34$
  4. $x < 34$
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B Correct answer
Explanation

Average of at least 30 for 3 tests means (35 + 21 + x) / 3 >= 30. So 56 + x >= 90, which means x >= 34.

AI explanation

Using the average formula, the total minimum marks required across the three tests for an average of 30 is 30 multiplied by 3, which equals 90. The student has already scored 35 and 21, giving a current sum of 56 marks. To reach the required total of 90, the minimum marks needed in the annual exam is 90 minus 56, which equals 34, meaning x must be greater than or equal to 34.

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