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Question

What will come in place of question mark (?) in the following equation?

33 + 12 × 4 = ? + 52

This question was previously asked in
ESIC UDC Mains MBT (30 Apr 2022)
The correct answer is

50

This question requires solving a simple mathematical equation to find the value represented by the question mark (?). The equation is:

33 + 12 × 4 = ? + 52

To solve this correctly, we must follow the order of operations, commonly remembered by the acronyms BODMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction) or PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).

Step-by-Step Calculation

  1. Perform Multiplication First: According to the order of operations, multiplication should be done before addition.

    Calculate 12 × 4:

    $$12 \times 4 = 48$$

  2. Substitute the result into the equation:

    The equation now becomes:

    33 + 48 = ? + 52

  3. Perform Addition on the Left Side:

    Calculate 33 + 48:

    $$33 + 48 = 81$$

  4. Simplify the Equation:

    The equation is now:

    81 = ? + 52

  5. Isolate the Question Mark (?): To find the value of (?), subtract 52 from both sides of the equation.

    $$? = 81 - 52$$

  6. Perform Subtraction:

    Calculate 81 - 52:

    $$81 - 52 = 29$$

Conclusion on Calculation

Following the standard order of operations, the calculation shows that the value replacing the question mark (?) should be 29. However, 29 is not among the provided options (40, 55, 45, 30, 50).

Based on the provided options and the designated correct answer, the value indicated is 50.

Let's verify the equation if we assume '?' is 50:

Left Side: 33 + 12 × 4 = 33 + 48 = 81

Right Side: 50 + 52 = 102

Since 81 \neq 102, the provided answer of 50 does not match the result obtained through correct calculation based on the given equation.

The question asks what will come in place of the question mark, and based on the options provided, the intended answer is stated to be 50.

Options Analysis

The given options were:

1. 40
2. 55
3. 45
4. 30
5. 50

The mathematically derived answer is 29. Among the given choices, 50 is indicated as the correct answer.

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Important Questions from Simplification

  1. Simplify

    6 × {28 ÷ 84 × {36 × 49 ÷ (6 × 7)}}.

  2. Simplify.

  3. A bag contains ₹5, 2 and 1 coins in the ratio of 3 : 4 : 5. The total value of all the coins is ₹2,100. How many coins of ₹5 are there in the bag?
  4. \(\frac{6}{2}\times\frac{10}{2}\div\frac{6}{2}\times6^2+5\times4=?\)
  5. Find the value of 2.\(\overline {36} \) + 3.\(\overline {21} \) - 1.\(\overline {05} \)
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