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Q: Simplify the following expression : (15 ÷ 3) –[{(19 – 1) ÷ 2} – {5 × 20 – (7 × 9 – (– 2))}]
  • A. 21
  • B. 31
  • C. – 21
  • D. 35
Correct Answer: Option B - (15 ÷ 3) –[{(19 – 1) ÷ 2} – {5 × 20 – (7 × 9 – (– 2))}] = 5 – [{(19 – 1)÷ 2} – {5×20 – (7×9 – (– 2))}] = 5 – [{18 ÷ 2} – {100 – (63 + 2) }] = 5 – [9 – {100 – 65}] = 5 – [9 – 35] = 5 +26 = 31
B. (15 ÷ 3) –[{(19 – 1) ÷ 2} – {5 × 20 – (7 × 9 – (– 2))}] = 5 – [{(19 – 1)÷ 2} – {5×20 – (7×9 – (– 2))}] = 5 – [{18 ÷ 2} – {100 – (63 + 2) }] = 5 – [9 – {100 – 65}] = 5 – [9 – 35] = 5 +26 = 31

Explanations:

(15 ÷ 3) –[{(19 – 1) ÷ 2} – {5 × 20 – (7 × 9 – (– 2))}] = 5 – [{(19 – 1)÷ 2} – {5×20 – (7×9 – (– 2))}] = 5 – [{18 ÷ 2} – {100 – (63 + 2) }] = 5 – [9 – {100 – 65}] = 5 – [9 – 35] = 5 +26 = 31