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Question

Which two signs should be interchanged to correct the given equation?
\(3 \times 6 + 2 - 4 \div 8 = 13\)

This question was previously asked in
RRB ALP 2018 CBT 2 Fitter Question Paper (21-Jan-2019) (Shift 3)
The correct answer is
$\div$ and $+$

Equation Correction: Interchange Signs

The problem requires us to interchange two mathematical signs in the given equation to make it true. The original equation is:

\(3 \times 6 + 2 - 4 \div 8 = 13\)

First, let's evaluate the original equation using the order of operations (PEMDAS/BODMAS):

  • Division: \(4 \div 8 = 0.5\)
  • Multiplication: \(3 \times 6 = 18\)
  • The equation becomes: \(18 + 2 - 0.5\)
  • Addition: \(18 + 2 = 20\)
  • Subtraction: \(20 - 0.5 = 19.5\)

The original equation evaluates to \(19.5\), not \(13\). We need to test the given options.

Testing Sign Interchange Options

The correct answer indicates that interchanging the division (\(\div\)) and plus (\(+\)) signs corrects the equation. Let's verify this.

The signs to be interchanged are \(\div\) and \(+\).

The original equation is: \(3 \times 6 + 2 - 4 \div 8 = 13\).

After interchanging \(\div\) and \(+\), the equation becomes:

\(3 \times 6 \div 2 - 4 + 8 = 13\)

Now, let's evaluate this new equation using the order of operations:

  • Multiplication: \(3 \times 6 = 18\)
  • Division: \(18 \div 2 = 9\)
  • The equation becomes: \(9 - 4 + 8\)
  • Subtraction: \(9 - 4 = 5\)
  • Addition: \(5 + 8 = 13\)

The equation now correctly evaluates to \(13\). Therefore, interchanging the \(\div\) and \(+\) signs is the correct solution.

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Important Questions from Maths Operations

  1. If 37 D 18 E 84 F 21 = 51 and 57 D 28 E 90 F 15 = 79, then 14 D 17 E 8 F 4 = ?
  2. This question is based on the five, three-digit numbers given below.

    (Left) 194 582 419 149 825 (Right)
    (Example- 697 – First digit = 6, second digit = 9 and third digit = 7)

    What will be the resultant if the third digit of the highest number is added to the second digit of the lowest number?
  3. If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 4813576, what will be the difference between the highest and the lowest digits in the number thus formed?
  4. If '+' means '-', '-' means '×', '×' means '÷', '÷' means '+', then what will come in place of the question mark (?) in the following equation?
    316 - 2 ÷ 37 + 436 × 4 = ?
  5. If 1 is added to each odd digit and 1 is subtracted from each even digit in the number 21673458, what will be the product of the greatest and smallest digit in the new number thus formed?
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