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Question

Simplify the given expression: \(32 \div 16 + 8(96 \div 12) - 8\)

This question was previously asked in
RRB ALP/Technician 2018 CBT 2 Electronics Mechanic Question Paper (23-Jan-2019) (Shift 1)
The correct answer is
58

Simplify Expression Calculation

To simplify the expression \(32 \div 16 + 8(96 \div 12) - 8\), we follow the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

  1. Parentheses: First, calculate the expression inside the parentheses. \(96 \div 12 = 8\) The expression becomes: \(32 \div 16 + 8(8) - 8\).
  2. Division: Next, perform the division. \(32 \div 16 = 2\) The expression is now: \(2 + 8(8) - 8\).
  3. Multiplication: Perform the multiplication. \(8 \times 8 = 64\) The expression simplifies to: \(2 + 64 - 8\).
  4. Addition: Perform addition from left to right. \(2 + 64 = 66\) The expression is now: \(66 - 8\).
  5. Subtraction: Finally, perform the subtraction. \(66 - 8 = 58\)

The simplified value of the expression is 58.

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Important Questions from Simplification

  1. If P = 0.3 × 0.3 + 0.03 × 0.03 - 0.6 × 0.03 and Q = 0.54, then  \(\rm \frac{P}{Q}\) is equal to:

  2. The value of \(\left(\frac{1}{2}\right)^{−2} \times\left(\frac{1}{3}\right)^{−2} \times\left(\frac{1}{4}\right)^{−2} \)  is

  3. The solution of the equation \(\frac{2}{3 x-4}+\frac{2}{2 x-6}=0 \) is:

  4. What will come in the place of question mark (?) in the given expression?

    \(\sqrt{21+\sqrt{49}+\sqrt{64}} \space {\%\:of\:5000}=?\)

  5. There are 5 tasks and 5 persons. Task-1 cannot be assigned to either person-1 or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done?

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