Question : Directions: By interchanging the given two numbers (not digits) which of the following equations will not be correct?
4 and 6
Option 1: 2 + 6 × 5 – 4 = 16
Option 2: 4 + 5 – 6 = 7
Option 3: 6 ÷ 2 – 4 × 5 = –28
Option 4: 6 × 3 – 4 ÷ 1 = 3
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Correct Answer: 6 × 3 – 4 ÷ 1 = 3
Solution :
Let's check the options –
First option:
2 + 6 × 5 – 4 = 16
On interchanging the given numbers, the equation becomes –
⇒ 2 + 4 × 5 – 6 = 16
Solving the L.H.S. of the equation –
= 2 + 20 – 6
= 22 – 6
= 16
Second option:
4 + 5 – 6 = 7
On interchanging the given numbers, the equation becomes –
⇒ 6 + 5 – 4 = 7
Solving the L.H.S. of the equation –
= 11 – 4
= 7
Third option:
6 ÷ 2 – 4 × 5 = –28
On interchanging the given numbers, the equation becomes –
⇒ 4 ÷ 2 – 6 × 5 = –28
Solving the L.H.S. of the equation –
= 2 – 6 × 5
= 2 – 30
= –28
Fourth option:
6 × 3 – 4 ÷ 1 = 3
On interchanging the given numbers, the equation becomes –
⇒ 4 × 3 – 6 ÷ 1 = 3
Solving the L.H.S. of the equation –
= 4 × 3 – 6
= 12 – 6
= 6 ≠ 3
So, only the equation in the fourth option does not satisfy the R.H.S. of the given equation. Hence the fourth option is correct.
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