Question : Directions: By interchanging the given two signs which of the following equations will be not correct? + and – I. 4 × 6 + 7 – 3 ÷ 1 = 21 II. 6 × 9 + 7 – 8 ÷ 2 = 51Option 1: Only IOption 2: Both I and IIOption 3: Neither I nor ...

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Question : Directions: By interchanging the given two signs which of the following equations will be not correct?
+ and –
I. 4 × 6 + 7 – 3 ÷ 1 = 21
II. 6 × 9 + 7 – 8 ÷ 2 = 51
Option 1: Only I
Option 2: Both I and II
Option 3: Neither I nor II
Option 4: Only II

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Correct Answer: Only I

Solution : Given:
I. 4 × 6 + 7 – 3 ÷ 1 = 21
II. 6 × 9 + 7 – 8 ÷ 2 = 51

After interchanging + and – the equations become –
First equation: 4 × 6 – 7 + 3 ÷ 1 = 21
Solving the L.H.S. of the equation –
= 4 × 6 – 7 + 3 ÷ 1
= 4 × 6 – 7 + 3
= 24 – 7 + 3
= 17 + 3 = 20
= 20 ≠ 21
Second equation: 6 × 9 – 7 + 8 ÷ 2 = 51
Solving the L.H.S. of the equation –
= 6 × 9 – 7 + 8 ÷ 2
= 6 × 9 – 7 + 4
= 54 – 7 + 4
= 51 = 51
⇒ L.H.S = R.H.S.

So, the first equation doesn't satisfy the R.H.S. of the equation. Hence, the first option is correct.

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