Which two signs should be interchanged to make the given equation correct?
294+14×4÷16-67=33

Correct option is A

Given equation:

294 + 14 × 4 ÷ 16 - 67 = 33

Option A: Interchange + and ÷

The modified equation becomes: 294 ÷ 14 × 4 + 16 - 67 = 33

Now, let's solve it step by step using BODMAS:

294 ÷ 14 = 21

21 × 4 = 84

84 + 16 = 100

100 - 67 = 33

This is correct, as it satisfies the equation.

Option B: Interchange × and ÷

The modified equation becomes: 294 + 14 ÷ 4 × 16 - 67 = 33

Now, let's solve it step by step using BODMAS:

14 ÷ 4 = 3.5

3.5 × 16 = 56

294 + 56 = 350

350 - 67 = 283

This is not correct, as it does not satisfy the equation.

Option C: Interchange + and -

The modified equation becomes: 294 - 14 × 4 ÷ 16 + 67 = 33

Now, let's solve it step by step using BODMAS:

4 ÷ 16 = .25

14 ×.25 = 3.5

294 - 3.5 = 290.5

290.5 + 67 = 357.5

This is not correct, as it does not satisfy the equation.

Option D: Interchange - and ÷

The modified equation becomes: 294 + 14 × 4 - 16 ÷ 67 = 33

Now, let's solve it step by step using BODMAS:

16 ÷ 67 ≈ 0.239

14 × 4 = 56

294 + 56 = 350

350 - 0.239 = 349.761

This is not correct, as it does not satisfy the equation.

Correct answer is(A).