Question : Directions: After interchanging ÷ and ×, 10 and 5, which one of the following becomes a correct equation?
Option 1: (30 ÷ 5) × 10 = 24
Option 2: (30 × 10) ÷ 5 = 60
Option 3: (30 ÷ 10) × 5 = 18
Option 4: (10 ÷ 30) × 5 = 70
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Correct Answer: (30 × 10) ÷ 5 = 60
Solution :
Interchange
÷ and ×, 10 and 5
in the given options one by one.
First option:
(30 ÷ 5) × 10 = 24
=
(30 × 10) ÷ 5
= 300 ÷ 5
= 60
≠ 24
Second option:
(30 × 10) ÷ 5 = 60
=
(30 ÷ 5) × 10
=
6 × 10
= 60
Third option:
(30 ÷ 10) × 5 = 18
=
(30 × 5) ÷ 10
=
150 ÷ 10
= 15 ≠ 18
Fourth option:
(10 ÷ 30) × 5 = 70
=
(5 × 30) ÷ 10
=
150 ÷ 10
= 15 ≠ 70
Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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