Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
16 * 3 * 2 * 11 * 9 = 22
Option 1: ×, ÷, +, –
Option 2: ×, ÷, –, +
Option 3: ÷, ×, +, +
Option 4: ÷, +, ×, ÷
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Correct Answer: ×, ÷, –, +
Solution :
Given:
16 * 3 * 2 * 11 * 9 = 22
Replace * with the mathematical signs and solve the equations one by one using the BODMAS.
Let's check the given options –
First option:
×, ÷, +, –
⇒ 16 × 3 ÷ 2 + 11 – 9 = 22
Solving the L.H.S of the equation –
= 16 × 3 ÷ 2 + 11 – 9
= 16 × 1.5 + 11 – 9
= 24 + 11 – 9
= 35 – 9
= 26 ≠ 22
Second option:
×, ÷, −, +
⇒ 16 × 3 ÷ 2 − 11 + 9 = 22
Solving the L.H.S of the equation –
= 16 × 3 ÷ 2 − 11 + 9
= 16 × 1.5 − 11 + 9
= 24 − 11 + 9
= 24 − 2
= 22 = 22 (R.H.S)
Third option:
÷, ×, +, +
⇒ 16 ÷ 3 × 2 + 11 + 9 = 22
Solving the L.H.S of the equation –
= 16 ÷ 3 × 2 + 11 + 9
= 5.33 × 2 + 11 + 9
= 10.66 + 11 + 9
= 21.66 + 9
= 30.66 ≠ 22
Fourth option:
÷, +, ×, ÷
⇒ 16 ÷ 3 + 2 × 11 ÷ 9 = 22
Solving the L.H.S of the equation –
= 16 ÷ 3 + 2 × 11 ÷ 9
= 5.33 + 2 × 1.23
= 5.33 + 2.45
= 7.78 ≠ 22 (R.H.S)
So, only the second option satisfies the given equation. Hence, the second option is correct.
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