Question : Directions: Which two signs should be interchanged to make the given equation correct?
34 ÷ 16 + 4 × 8 − 6 = 60
Option 1: − and ×
Option 2: + and ×
Option 3: ÷ and −
Option 4: ÷ and +
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Correct Answer: ÷ and +
Solution :
Given:
34 ÷ 16 + 4 × 8 − 6 = 60
Replace the given symbols in the options one by one with the original symbols in the given equation.
Let's check the given options –
First option:
− and ×
⇒ 34 ÷ 16 + 4 × 8 − 6 = 60
Solving the L.H.S of the equation –
= 34 ÷ 16 + 4 − 8 × 6
= 34 ÷ 16 + 4 − 8 × 6
= 2.125 + 4 − 8 × 6
= 2.125 + 4 − 48
= 2.125 − 44
= −41.875 ≠ 60
Second option:
+ and ×
⇒ 34 ÷ 16 + 4 × 8 − 6 = 60
Solving the L.H.S of the equation –
= 34 ÷ 16 × 4 + 8 − 6
= 34 ÷ 16 × 4 + 8 − 6
= 2.125 × 4 + 8 − 6
= 8.5 + 8 − 6
= 16.5 − 6
= 10.5 ≠ 60
Third option:
÷ and −
⇒ 34 ÷ 16 + 4 × 8 − 6 = 60
Solving the L.H.S of the equation –
= 34 − 16 + 4 × 8 ÷ 6
= 34 − 16 + 4 × 1.34
= 34 − 16 + 5.36
= 34 − 10.64
= 23.36 ≠ 60
Fourth option:
÷ and +
⇒ 34 ÷ 16 + 4 × 8 − 6 = 60
Solving the L.H.S of the equation –
= 34 + 16 ÷ 4 × 8 − 6
= 34 + 4 × 8 − 6
= 34 + 32 − 6
= 66 − 6
= 60
Here, the fourth option satisfies the RHS of the equation. Hence, the fourth option is correct.
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