If the sign of ‘+ and ÷’ are interchanged, which of the following equation will be correct?

Question

If the sign of ‘+ and ÷’ are interchanged, which of the following equation will be correct?

16 ÷ 9 + 4 × 8 = 32
16 ÷ 21 + 13 × 26 = 58
13 × 9 + 16 ÷ 2 = 125
11 + 13 × 4 ÷ 2 = 37

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 2 : 16 ÷ 21 + 13 × 26 = 58

BODMAS RULE:

[ alt="BODMAS" src="//storage.googleapis.com/tb-img/production/22/04/BODMAS.png" style="width: 330px; height: 181px;">

Now, we check each option.

Option 1:

Given equation: 16 ÷ 9 + 4 × 8 = 32

After the signs, ‘+ and ÷’ are interchanged, New equation is:

16 + 9 ÷ 4 × 8 = 32

⇒ 16 + 2.25 × 8 = 32

⇒ 16 + 18 = 32

34 ≠ 32

LHS ≠ RHS

Option 2:

Given equation: 16 ÷ 21 + 13 × 26 = 58

After the signs, ‘+ and ÷’ are interchanged, New equation is:

16 + 21 ÷ 13 × 26 = 58

⇒ 16 + 1.61 × 26 = 58

⇒ 16 + 42 = 58

58 = 58

LHS = RHS

Option 3:

Given equation: 13 × 9 + 16 ÷ 2 = 125

After the signs, ‘+ and ÷’ are interchanged, New equation is:

13 × 9 ÷ 16 + 2 = 125

⇒ 13 × 0.562 + 2 = 125

⇒ 7.31 + 2 = 125

9.31 ≠ 125

LHS ≠ RHS

Option 4:

Given equation: 11 + 13 × 4 ÷ 2 = 37

After the signs, ‘+ and ÷’ are interchanged, New equation is:

11 ÷ 13 × 4 + 2 = 37

⇒ 0.846 × 4 + 2 = 37

⇒ 3.38 + 2 = 37

5.38 ≠ 37

LHS ≠ RHS

Hence, The correct answer is "16 ÷ 21 + 13 × 26 = 58".