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Question : Directions: By interchanging the given two signs which of the following equations will be correct?
× and +

Option 1: 7 × 8 ÷ 9 + 18 – 11 = 16

Option 2: 24 – 8 – 5 × 5 + 3 = 14

Option 3: 5 × 10 – 15 + 20 ÷ 25 = 8

Option 4: 24 × 8 + 6 ÷ 3 – 18 = 22


Team Careers360 5th Jan, 2024
Answer (1)
Team Careers360 16th Jan, 2024

Correct Answer: 24 × 8 + 6 ÷ 3 – 18 = 22


Solution : Let's check the options –
First option: 7 × 8 ÷ 9 + 18 – 11 = 16
On interchanging the given signs, the equation becomes –
⇒ 7 + 8 ÷ 9 × 18 – 11 = 16
Solving the L.H.S. of the equation –
= 7 + 16 – 11
= 23 – 11
= 12 ≠ 16
Second option: 24 – 8 – 5 × 5 + 3 = 14
On interchanging the given signs, the equation becomes –
⇒ 24 – 8 – 5 + 5 × 3 = 14
Solving the L.H.S. of the equation –
= 24 – 8 – 5 + 15
= 39 – 13
= 26 ≠ 14
Third option: 5 × 10 – 15 + 20 ÷ 25 = 8
On interchanging the given signs, the equation becomes –
⇒ 5 + 10 – 15 × 20 ÷ 25 = 8
Solving the L.H.S. of the equation –
= 5 + 10 – 15 × 0.8
= 5 + 10 – 12
= 15 – 12
= 3 ≠ 8
Fourth option: 24 × 8 + 6 ÷ 3 – 18 = 22
On interchanging the given signs, the equation becomes –
⇒ 24 + 8 × 6 ÷ 3 – 18 = 22
Solving the L.H.S. of the equation –
= 24 + 8 × 2 – 18
= 24 + 16 – 18
= 40 – 18
= 22

So, only the equation in the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.

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