Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct?
98 − 9 × 21 ÷ 7 + 56 = 69
Option 1: 56 and 9, + and ×
Option 2: 56 and 21, + and ×
Option 3: 98 and 9, + and ×
Option 4: 21 and 7, + and −
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Correct Answer: 56 and 9, + and ×
Solution :
Given:
98 − 9 × 21 ÷ 7 + 56 = 69
Let's check the given options –
First option:
56 and 9, + and ×
On interchanging the signs and numbers, we get –
⇒ 98 − 56 + 21 ÷ 7 × 9 = 69
Solving the L.H.S. of the equation –
= 98 − 56 + 3 × 9
= 98 − 56 + 27
= 69
Second option:
56 and 21, + and ×
On interchanging the signs and numbers, we get –
⇒ 98 − 9 + 56 ÷ 7 × 21 = 69
Solving the L.H.S. of the equation –
= 98 − 9 + 8 × 21
= 98 − 9 + 168
= 257 ≠ 69
Third option:
98 and 9, + and ×
On interchanging the signs and numbers, we get –
⇒ 9 − 98 + 21 ÷ 7 × 56 = 69
Solving the L.H.S. of the equation –
= 9 − 98 + 3 × 56
= 9 − 98 + 168
= 79 ≠ 69
Fourth option:
21 and 7, + and –
On interchanging the signs and numbers, we get –
⇒ 98 + 9 × 7 ÷ 21 – 56 = 69
Solving the L.H.S. of the equation –
= 98 + 3 – 56
= 45 ≠ 69
So, only the first option satisfies the given equation. Hence, the first option is correct.
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