Question : Directions: Which two numbers and two signs should be interchanged in the following equation to make it correct?
7 × 14 ÷ 6 + 12 + 6 = 30
Option 1: 7 and 6, × and ÷
Option 2: 7 and 14, × and ÷
Option 3: 7 and 6, ÷ and +
Option 4: 6 and 14, × and +
Correct Answer: 7 and 14, × and ÷
Solution :
Given:
7 × 14 ÷ 6 + 12 + 6 = 30
Let's check the options –
First option:
7 and 6, × and ÷
Since there are two 6s in the equation, it is not clear which 6 needs to be interchanged. So, this option is incorrect.
Second option:
7 and 14, × and ÷
On interchanging the numbers and symbols, the equation becomes –
14 ÷ 7 × 6 + 12 + 6 = 30
Solving the L.H.S. of the equation –
= 2 × 6 + 12 + 6
= 12 + 12 + 6
= 30
Third option:
7 and 6, ÷ and +
Since there are two 6s in the equation, it is not clear which 6 needs to be interchanged. So, this option is incorrect.
Fourth option:
6 and 14, × and +
Since there are two 6s in the equation, it is not clear which 6 needs to be interchanged. So, this option is incorrect.
So, only the second option satisfies the condition. Hence, the second option is correct.
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