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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 এবং − এর অর্থ + হয় , তাহলে নিচের সমীকরণে প্রশ্নবোধক চিহ্নটির (?) স্থানে কী বসবে ? 2 ÷ 6 × 15 + 3 − 5 = ?
14
15
13
12 Question ID : 4410091306025 Option 1 ID : 4410095156035 Option 2 ID : 4410095156036 Option 3 ID : 4410095156034 Option 4 ID : 4410095156033 Status : Answered Chosen Option : D
12 Question ID : 4410091306025 Option 1 ID : 4410095156035 Option 2 ID : 4410095156036 Option 3 ID : 4410095156034 Option 4 ID : 4410095156033 Status : Answered Chosen Option : D
Replace the signs first according to the given instructions, then apply the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction) strictly from left to right.
Replace the signs first according to the given instructions, then apply the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction) strictly from left to right.
Symbol Replacement
Replace the original signs with the given rules: ÷ becomes ×, × becomes −, + becomes ÷, and − becomes +. The equation 2 ÷ 6 × 15 + 3 − 5 transforms to: 2 × 6 - 15 ÷ 3 + 5.
BODMAS Application
Applying BODMAS: First, solve division (15 ÷ 3 = 5). The equation becomes 2 × 6 - 5 + 5. Next, solve multiplication (2 × 6 = 12). The equation becomes 12 - 5 + 5. Finally, perform addition and subtraction (12 - 5 + 5 = 12 + 0 = 12).
A: 14 is incorrect because it ignores the correct order of operations. B: 15 is incorrect due to calculation error in the final step. C: 13 is incorrect as it fails to prioritize division over subtraction/addition.
D is correct because applying the symbol conversions and BODMAS rules to the expression 2 × 6 - 15 ÷ 3 + 5 yields 12 - 5 + 5 = 12.
Always write down the converted equation clearly before solving to avoid sign-mixing errors; common mistakes occur by performing subtraction before division.
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