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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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যদি + এর অর্থ - হয় , - এর অর্থ × হয় , × এর অর্থ ÷ হয় , ÷ এর অর্থ + হয় , তাহলে নিচের সমীকরণে প্রশ্নবোধক চিহ্নটির (?) স্থানে কী বসবে ? 26 - 6 ÷ 34 + 40 × 8 = ?
155
135
195
185 Question ID : 4410091495054 Option 1 ID : 4410095905888 Option 2 ID : 4410095905887 Option 3 ID : 4410095905890 Option 4 ID : 4410095905889 Status : Answered Chosen Option : D
185 Question ID : 4410091495054 Option 1 ID : 4410095905888 Option 2 ID : 4410095905887 Option 3 ID : 4410095905890 Option 4 ID : 4410095905889 Status : Answered Chosen Option : D
Apply the BODMAS rule (Bracket, Of, Division, Multiplication, Addition, Subtraction) strictly after replacing the signs as per the provided logic.
Apply the BODMAS rule (Bracket, Of, Division, Multiplication, Addition, Subtraction) strictly after replacing the signs as per the provided logic.
Symbol Substitution
Replace the signs according to the rules: - becomes x, ÷ becomes +, + becomes -, and x becomes ÷. The equation 26 - 6 ÷ 34 + 40 × 8 becomes 26 x 6 + 34 - 40 ÷ 8.
BODMAS Application
First, perform division: 40 ÷ 8 = 5. Now the expression is 26 x 6 + 34 - 5.
Final Calculation
Perform multiplication: 26 x 6 = 156. Then addition: 156 + 34 = 190. Finally, subtraction: 190 - 5 = 185.
A: 155 is incorrect as it fails the final subtraction step; B: 135 is incorrect as it results from applying operations in the wrong order; C: 195 is incorrect as it results from miscalculating the multiplication product.
D is correct because following the BODMAS rule after substituting the signs yields the exact value of 185.
Always write the new equation clearly before calculating to avoid sign confusion, and prioritize the division operation first to simplify the expression quickly.
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