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যদি + এর অর্থ − হয় , − এর অর্থ × হয় , × এর অর্থ ÷ হয় এবং ÷ এর অর্থ + হয় , তাহলে নিচের সমীকরণে প্রশ্নবোধক চিহ্নটির (?) স্থানে কী বসবে ? 1125 − 5 ÷ 314 + 224 × 4 = ?
5381
5183
5883
5533 Question ID : 441009980561 Option 1 ID : 4410093874722 Option 2 ID : 4410093874723 Option 3 ID : 4410093874725 Option 4 ID : 4410093874724 Status : Answered Chosen Option : C
5883
Substitute the symbols immediately and apply BODMAS strictly: solve Division first, then Multiplication, Addition, and lastly Subtraction.
Substitute the symbols immediately and apply BODMAS strictly: solve Division first, then Multiplication, Addition, and lastly Subtraction.
Symbol Substitution
Given the rules: '-' becomes 'x', '÷' becomes '+', '+' becomes '-', and 'x' becomes '÷'. Applying this to the equation 1125 - 5 ÷ 314 + 224 × 4 results in 1125 * 5 + 314 - 224 / 4.
Applying BODMAS
First, perform division: 224 / 4 = 56. The equation becomes 1125 * 5 + 314 - 56. Next, perform multiplication: 1125 * 5 = 5625. The equation becomes 5625 + 314 - 56.
Final Addition and Subtraction
Perform addition: 5625 + 314 = 5939. Finally, perform subtraction: 5939 - 56 = 5883.
A: Resulting from incorrect operator priority or arithmetic error, 5381 is inconsistent with the BODMAS calculation. B: 5183 results from incorrectly swapping or omitting terms during substitution. D: 5533 occurs if multiplication or division steps are performed out of the required order.
C is correct because applying BODMAS rules (Division then Multiplication then Addition then Subtraction) to the substituted expression 1125 * 5 + 314 - 56 yields exactly 5883.
In mathematical operation questions, always re-write the full equation after the first substitution to avoid mental calculation errors, and never skip the order of operations.
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