Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
7 * 5 * 4 * 2 * 3 * 7
Option 1: ÷, –, +, ×, =
Option 2: +, –, ÷, –, =
Option 3: ÷, +, ÷, +, =
Option 4: –, ÷, +, ×, =
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Correct Answer: +, –, ÷, –, =
Solution :
Given:
7 * 5 * 4 * 2 * 3 * 7
Let's check the given options –
First option:
÷, –, +, ×, =
⇒ 7 ÷ 5 – 4 + 2 × 3 = 7
Solving the L.H.S. of the equation –
= 1.4 – 4 + 2 × 3
= 1.4 – 4 + 6
= 7.4 – 4
= 3.4 ≠ 7
Second option:
+, –, ÷, –, =
⇒ 7 + 5 – 4 ÷ 2 – 3 = 7
Solving the L.H.S. of the equation –
= 7 + 5 – 2 – 3
= 12 – 5
= 7 = R.H.S.
Third option:
÷, +, ÷, +, =
⇒ 7 ÷ 5 + 4 ÷ 2 + 3 = 7
Solving the L.H.S. of the equation –
= 1.4 + 2 + 3
= 6.4 ≠ 7
Fourth option:
–, ÷, +, ×, =
⇒ 7 – 5 ÷ 4 + 2 × 3 = 7
Solving the L.H.S. of the equation –
= 7 – 1.25 + 2 × 3
= 7 – 1.25 + 6
= 13 – 1.25
= 11.75 ≠ 7
So, only the second option satisfies the given equation. Hence, the second option is correct.
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