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Which two signs should be interchanged to make the given equation correct? 26+2 ÷ 4 – 8 × 25 = 30
Question

Which two signs should be interchanged to make the given equation correct?
26+2 ÷ 4 – 8 × 25 = 30

A.

× and -

B.

+and ÷

C.

× and +

D.

× and ÷

Correct option is C


Given equation:
26+2÷4–8×25=30
Option (a): × and -
If we interchange × and -, the equation becomes: 26+2÷4×8−25=30
Now, follow BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) rule:
26+2÷4×8−25=30
= 26+.5×8−25=30
= 26+ 4 −25=30
= 30 −25=30
5≠30
Option (b): + and ÷
If we interchange + and ÷, the equation becomes: 26÷2+4–8×25=30
Now, follow BODMAS:
26÷2+4–8×25=30
= 13+4–8×25=30
= 13+4–200=30
= 17–200=30
183≠30
Option (c): × and +
If we interchange × and +, the equation becomes: 26×2÷4–8+25=30
Now, follow BODMAS:
= 26×.5–8+25=30
= 13 -8 +25=30
= 38 – 8 = 30
30= 30
Correct answer is (c) × and +

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