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Find the value of 7 + 5-2×(7 + 89)-94÷2 + (33÷3 +9×2-7)÷ 11.
Question

Find the value of 7 + 5-2×(7 + 89)-94÷2 + (33÷3 +9×2-7)÷ 11.

A.

–245

B.

–235

C.

245

D.

–225

Correct option is D

Given: We need to simplify the expression using the order of operations (BODMAS: Brackets, Orders, Division/Multiplication, Addition/Subtraction).
Solution:
1. Simplify inside the parentheses: 7 + 89 = 96.
2. Multiply: 2 × 96 = 192.
3. Simplify the remaining part: 7 + 5 - 192 - 94 ÷ 2 = 7 + 5 - 192 - 47 = 12 - 192 - 47 = -227.
4. Now, simplify the last part inside the parentheses: 33 ÷ 3 + 9 × 2 - 7 = 11 + 18 - 7 = 22.
5. Divide by 11: 22 ÷ 11 = 2.
6. Finally, add the results: -227 + 2 = -225.
Thus, the value of the expression is –225.
Final Answer: (d) –225

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