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Question

Simplify the following expression.

11 of 7 + 125 ÷ 5 + 99 ÷ 11 × 7 − 17 of 7 + 7 × 6 - (91 ÷ 7 + 7 × 5)

The correct answer is

40

Apply BODMAS, treating "of" as multiplication done first: 11 of 7 = 77 and 17 of 7 = 119.

Now the divisions and multiplications: 125 ÷ 5 = 25; 99 ÷ 11 × 7 = 9 × 7 = 63; and 7 × 6 = 42.

Simplify the bracket: 91 ÷ 7 + 7 × 5 = 13 + 35 = 48.

The expression becomes 77 + 25 + 63 − 119 + 42 − 48.

Working left to right: 77 + 25 = 102; 102 + 63 = 165; 165 − 119 = 46; 46 + 42 = 88; 88 − 48 = 40.

Hence, the answer is 40.

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Important Questions from Bodmas Rule

  1. The value of 90 ÷ 20 of 6 × [11 ÷ 4 of {3 × 2 - (3 - 8)}] ÷ (9 ÷ 3 × 2) is:

  2. The value of 1800 ÷ 20 × {(12 - 6) + (24 - 12)} is:

  3. The value of 20 ÷ 5 of 8 × [9 ÷ 6 × (6 - 3)] - (10 ÷ 2 of 20) is:

  4. The value of \(\left( {18 \div 2\;of\frac{1}{4}} \right)\; \times \;\left( {\frac{2}{3} \div \frac{3}{4}\; \times \;\frac{5}{8}} \right) \div \left( {\frac{2}{3} \div \frac{3}{4}of\frac{3}{4}} \right)\) is:

  5. The value of 18 ÷ [26 - {25 - (15 - 5) ÷ 2}] of 12 + 2 - 2 ÷ 4 × 16 is:

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