Question
Find the value of $[868 \div \{26 + 6 \times (3 - 7)\}]$.
This question was previously asked in
RRB NTPC 2024 CBT 1 Question Paper (28-Aug-2025) (Shift 3)
The correct answer is
434
Solving the Mathematical Expression
To find the value of the given expression, we need to 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).
The expression is: $ [868 \div \{26 + 6 \times (3 - 7)\}] $
Step-by-Step Calculation
- Step 1: Solve the innermost parenthesis. Calculate the value inside $(3 - 7)$. $ 3 - 7 = -4 $
- Step 2: Perform multiplication within the curly braces. Multiply the result from Step 1 by 6. $ 6 \times (-4) = -24 $
- Step 3: Perform addition within the curly braces. Add the result from Step 2 to 26. $ 26 + (-24) = 26 - 24 = 2 $
- Step 4: Perform the division. Divide 868 by the result from Step 3. $ 868 \div 2 = 434 $
Final Result
The value of the expression $ [868 \div \{26 + 6 \times (3 - 7)\}] $ is 434.
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