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Which two signs should be interchanged to make the given equation correct? 28 + 12 – 6 × 40 ÷ 8 = 46
Question

Which two signs should be interchanged to make the given equation correct?
28 + 12 – 6 × 40 ÷ 8 = 46

A.

× and -

B.

× and +

C.

+and ÷

D.

+ and -

Correct option is D

Given: 28 + 12 – 6 × 40 ÷ 8 = 46
Option (a) Interchange × and -:
The equation becomes: 28 + 12 × 6 - 40 ÷ 8 = 46
28 + 12 × 6 - 5 = 46
28 + 72 - 5 = 46
28 + 72 - 5 = 46
100 – 5 = 46
95 ≠ 46
Option (b) Interchange × and +:
The equation becomes: 28 × 12 – 6 + 40 ÷ 8 = 46
28 × 12 – 6 + 5 = 46
28 × 12 – 6 + 5 = 46
336 – 6 + 5 = 46
341 – 6 = 46
335
Option (c) Interchange + and ÷:
The equation becomes: 28 ÷ 12 – 6 × 40 + 8 = 46
28 ÷ 12 – 6 × 40 + 8 = 46
2.23 – 6 × 40 + 8 = 46
2.23 – 240 + 8 = 46
10.23 – 240 = 46
-237.77≠ 46
Option (d) Interchange + and -:
The equation becomes: 28 - 12 + 6 × 40 ÷ 8 = 46
28 - 12 + 6 × 5 = 46
28 - 12 + 30 = 46
58 - 12 = 46
46 = 46
Correct answer is (d).

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