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Which equation would become correct if we interchange the signs '×' and '÷' as well as the digits '2' and '4'?
Question

Which equation would become correct if we interchange the signs '×' and '÷' as well as the digits '2' and '4'?

A.

2 ÷ 4 × 14 = 60

B.

12 ÷ 42 × 4 = 160

C.

12 × 4 ÷ 42 = 168

D.

42 × 12 ÷ 2 = 20

Correct option is C

Given: we interchange the signs and digits-
Original
×\times​​
2
New
÷\div​​
4
Logic: BODMAS
Let's check the option:
(a) 2 ÷ 4 × 14 = 60
4 × 2 ÷ 12 = 60
4 × 212\frac{2}{12} = 60
23\frac{2}{3} \ne 60 (Incorrect)
(b) 12 ÷ 42 × 4 = 160
14 × 24 ÷ 2 = 160
14 × 12 = 160
168 \ne 160 (Incorrect)
(c) 12 × 4 ÷ 42 = 168
14 ÷2 × 24 = 168
7 × 24 = 168 (Correct Option)
(d) 42 × 12 ÷ 2 = 20
24 ÷14 × 4 = 20
2414\frac{24}{14} × 4 \ne 20 (Incorrect)
Thus, the correct option is (c)​​

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