Question : Directions: Correct the following equation by interchanging the two signs and two numbers.
7 × 6 + 5 – 4 = 33
Option 1: –, ×, and 4, 5
Option 2: ×, +, and 4, 5
Option 3: +, –, and 5, 6
Option 4: ×, –, and 5, 6
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Correct Answer: +, –, and 5, 6
Solution :
Given:
7 × 6 + 5 – 4 = 33
Let's check the options –
First option:
–, ×, and 4, 5
⇒ 7 – 6 + 4 × 5 = 33
On solving the L.H.S. of the equation –
= 7 – 6 + 4 × 5
= 7 – 6 + 20
= 21
≠ 33
Second option:
×, +, and 4, 5
⇒ 7 + 6 × 4 – 5 = 33
On solving the L.H.S. of the equation –
= 7 + 6 × 4 – 5
= 7 + 24 – 5
= 26
≠ 33
Third option:
+, –, and 5, 6
⇒ 7 × 5 – 6 + 4 = 33
On solving the L.H.S. of the equation –
= 7 × 5 – 6 + 4
= 35 – 6 + 4
= 33
Fourth option:
×, –, and 5, 6
⇒ 7 – 5 + 6 × 4 = 33
On solving the L.H.S. of the equation –
= 7 – 5 + 6 × 4
= 7 – 5 + 24
= 26
≠ 33
So, only the third option satisfies the given equation. Hence, the third option is correct.
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