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Find the value of 7+{4+3 of 4−(5+3−6÷2)}7 + \{4 + 3 \text{ of } 4 - (5 + 3 - 6 \div 2)\}.

A18

B15

C21

D17

Answer:

A. 18

Read Explanation:

The value of the expression is 18.

Following the BODMAS rule (Brackets, Of, Division, Multiplication, Addition, Subtraction), we solve from the innermost brackets outward:

1. Solve the Parentheses ( ):

* Inside the parentheses, perform division first:

6÷2=36 \div 2 = 3

* Then perform addition and subtraction:

5+3−3=8−3=55 + 3 - 3 = 8 - 3 = 5

2. Solve the Curly Braces { }:

* Substitute 55 back into the braces:

4+3 of 4−54 + 3 \text{ of } 4 - 5

* Evaluate the "of" operation (which means multiplication):

3 of 4=3×4=123 \text{ of } 4 = 3 \times 4 = 12

* Complete the calculations inside the braces (addition then subtraction):

4+12−5=16−5=114 + 12 - 5 = 16 - 5 = 11

3. Final Calculation:

* Complete the outermost addition:

7+11=187 + 11 = 18


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If  x⊕y=x2−y  \,\,x \oplus y = \frac{x}{2} - y\,\,and x∗y=y3−2x  \,x * y = \frac{y}{3} - 2x\,\,then find the value of (3⊕1)∗(4⊕−4)(3 \oplus 1) * (4 \oplus -4).