Question : Directions: Substitute the arithmetical signs in the place of * in the following equation.
7 * 7 * 2 * 1 = 12
Option 1: ×, –, ÷
Option 2: +, –, ×
Option 3: ×, –, +
Option 4: +, ×, –
Correct Answer: +, –, ×
Solution :
Let's check the option –
First option:
×, –, ÷
Equation after replacing the signs ⇒ 7 × 7 – 2 ÷ 1 = 12
Solving the L.H.S. of the equation –
= 7 × 7 – 2 ÷ 1
= 7 × 7 – 2
= 49 – 2
= 47 ≠ 12 (L.H.S. ≠ R.H.S.)
Second option:
+, –, ×
Equation after replacing the signs ⇒ 7 + 7 – 2 × 1 = 12
Solving the L.H.S. of the equation –
= 7 + 7 – 2 × 1
= 7 + 7 – 2
= 12 (L.H.S. = R.H.S.)
Third option:
×, –, +
Equation after replacing the signs ⇒ 7 × 7 – 2 + 1 = 12
Solving the L.H.S. of the equation –
= 7 × 7 – 2 + 1
= 49 – 2 + 1
= 48
≠ 12 (L.H.S. ≠ R.H.S.)
Fourth option:
+ × –
Equation after replacing the signs ⇒ 7 × 7 – 2 + 1 = 12
Solving the L.H.S. of the equation –
=
7 + 7 × 2 – 1
= 7 + 14 – 1
= 20
≠ 12 (L.H.S. ≠ R.H.S.)
So, only the second option satisfies the equation. Hence, the second option is correct.
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