Question : Directions: Which two signs should be interchanged to make the given equation correct?
5 × 6 –7 + 24 ÷ 12 = 35
Option 1: + and =
Option 2: + and –
Option 3: = and –
Option 4: × and –
Correct Answer: + and –
Solution :
Given:
5 × 6 – 7 + 24 ÷ 12 = 35
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
+ and =
5 × 6 – 7 = 24 ÷ 12 +35
⇒ 30 – 7 = 2 + 35
⇒ 23
≠ 37
Second option:
+ and –
5 × 6 + 7 – 24 ÷ 12 = 35
= 5 × 6 + 7 – 2
= 30 + 7 – 2
⇒35 = 35
Third option:
= and –
5 × 6 = 7 + 24 ÷ 12 – 35
⇒ 30 = 7 + 2 – 35
⇒ 30
≠ –26
Fourth option:
x and –
5 – 6 × 7 + 24 ÷ 12 = 35
⇒ 5 – 6 × 7 + 2
⇒ 5 – 42 + 2
⇒ – 35
≠ 35
So, only the second option satisfies the R.H.S. of the equation. Hence, the second option is correct.
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