Question:
If \(+\) denotes multiplication, \(-\) denotes addition, \(\times\) denotes division and \(\div\) denotes subtraction, then the value of
\[
18 + 25 - 32 \times 16 \div 12
\]
is
If \(+\) denotes multiplication, \(-\) denotes addition, \(\times\) denotes division and \(\div\) denotes subtraction, then the value of
\[
18 + 25 - 32 \times 16 \div 12
\]
is
Show Hint
In symbol replacement problems, first rewrite the expression completely before solving.
Updated On: Jul 15, 2026
- \(594\)
- \(440\)
- \(270\)
- \(\frac{1}{3}\)
Show Solution
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The Correct Option is B
Solution and Explanation
Concept:
Replace the symbols with their actual meanings and solve using BODMAS.
Given:
\[
+ \rightarrow \times
\]
\[
- \rightarrow +
\]
\[
\times \rightarrow \div
\]
\[
\div \rightarrow -
\]
Step 1: Replace the operators.
Expression: \[ 18 + 25 - 32 \times 16 \div 12 \] becomes: \[ 18 \times 25 + 32 \div 16 - 12 \]
Step 2: Apply BODMAS.
First: \[ 18 \times 25=450 \] \[ 32 \div 16=2 \] So: \[ 450+2-12 \]
Step 3: Simplify.
\[ 450+2=452 \] \[ 452-12=440 \] Thus, the required answer is: \[ \boxed{440} \]
Step 1: Replace the operators.
Expression: \[ 18 + 25 - 32 \times 16 \div 12 \] becomes: \[ 18 \times 25 + 32 \div 16 - 12 \]
Step 2: Apply BODMAS.
First: \[ 18 \times 25=450 \] \[ 32 \div 16=2 \] So: \[ 450+2-12 \]
Step 3: Simplify.
\[ 450+2=452 \] \[ 452-12=440 \] Thus, the required answer is: \[ \boxed{440} \]
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