Which of the following interchanges of signs would make the given equation correct?
12 ÷ 6 × 18 + 16 – 15 = 5

Given: 12 ÷ 6 × 18 + 16 – 15 = 5

From the given options 

(a) + , - After interchanging the sign we get following equation -

12 ÷ 6 × 18 -16 + 15 = 5

2 × 18 -16 + 15 = 5

36 -16 + 15 = 5

51 -16 = 5

35 $$\not=$$​ 5

(b) -, ÷ After interchanging the sign we get following equation -

12 - 6 × 18 + 16 ÷ 15 = 5

12 - 6 × 18 + 1.06 = 5

12 - 108 + 1.06 = 5

12 - 109.06 = 5

97.06 $$\not=$$​ 5

(c) + , × After interchanging the sign we get following equation -

12 ÷ 6 + 18 × 16 – 15 = 5

2 + 18×16 – 15 = 5

2 + 288 – 15 = 5

290 – 15 = 5

275 $$\not=$$ 5​

(d) ÷, × After interchanging the sign we get following equation -

12 × 6 ÷ 18 + 16 – 15 = 5

12 × $$\frac{1}{3}$$​ + 16 – 15 = 5

4 + 16 – 15 = 5

20 – 15 = 5

5 = 5

Correct answer is (d).

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