Question : Directions: Select the correct combination of mathematical signs that can sequentially replace * signs and balance the given equation.
12 * 70 * 5 * 5 * 5 * 11 * 2
Option 1: +, –, ×, =, ×, +
Option 2: ×, +, +, –, ×, =
Option 3: ×, =, ×, ×, +, –
Option 4: ×, +, –, ×, =, ×
Correct Answer: +, –, ×, =, ×, +
Solution :
Given:
12 * 70 * 5 * 5 * 5 * 11 * 2
Let's check the options –
First option:
+, –, ×, =, ×, +
⇒ 12 + 70 – 5 × 5 = 5 × 11 + 2
L.H.S.→12 + 70 – 5 × 5
= 12 + 70 – 25
= 82 – 25
= 57
R.H.S.→5 × 11 + 2
= 55 + 2
= 57
L.H.S. = R.H.S.
Second option:
×, +, +, –, ×, =
⇒ 12 × 70 + 5 + 5 – 5 × 11 = 2
L.H.S.→12 × 70 + 5 + 5 – 5 × 11
= 840 + 5 + 5 – 55
= 850 – 55
= 795
R.H.S.→2
L.H.S. ≠ R.H.S.
Third option:
×, =, ×, ×, +, –
⇒ 12 × 70 = 5 × 5 × 5 + 11 – 2
L.H.S.→12 × 70
= 840
R.H.S.→5 × 5 × 5 + 11 – 2
= 125 + 11 – 2
= 136 – 2
= 134
L.H.S. ≠ R.H.S.
Fourth option:
×, +, –, ×, =, ×
⇒ 12 × 70 + 5 – 5 × 5 = 11 × 2
L.H.S.→12 × 70 + 5 – 5 × 5
= 840 + 5 – 25
= 845 – 25
= 820
R.H.S.→11 × 2
= 22
L.H.S. ≠ R.H.S.
So, only the first option satisfies the equation. Hence, the first option is correct.
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