Question : Directions: Select the correct combination of mathematical signs to replace the * signs and balance the given equation.
21 * 4 * 156 * 13 * 11 = 83
Option 1: –, ÷, ×, +
Option 2: ×, +, ÷, –
Option 3: ×, –, ÷, +
Option 4: +, ÷, –, ×
Correct Answer: ×, –, ÷, +
Solution :
Given:
21 * 4 * 156 * 13 * 11 = 83
Replace * with the mathematical signs and solve the equation using BODMAS.
Let's check the given options –
First option:
–, ÷, ×, +
⇒ 21 – 4 ÷ 156 × 13 + 11 = 83
Solving L.H.S. of the equation –
= 21 – 0.025 × 13 + 11
= 21 – 0.34 + 11
= 32 – 0.325
= 31.67 ≠ 83
Second option:
×, +, ÷, –
⇒ 21 × 4 + 156 ÷ 13 – 11 = 83
Solving L.H.S. of the equation –
= 21 × 4 + 12 – 11
= 84 + 12 – 11
= 96 – 11
= 85 ≠ 83
Third option:
×, –, ÷, +
⇒ 21 × 4 – 156 ÷ 13 + 11 = 83
Solving L.H.S. of the equation –
= 21 × 4 – 12 + 11
= 84 – 12 + 11
= 95 – 12
= 83
Fourth option:
+, ÷, –, ×
⇒ 21 + 4 ÷ 156 – 13 × 11 = 83
Solving L.H.S. of the equation –
= 21 + 0.025 – 13 × 11
= 21 + 0.025 – 143
= 21.025 – 143
= –121.975 ≠ 83
So, only the third option satisfies the given equation. Hence, the third option is correct.
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