Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
33 * 4 * 15 * 3 * 61 = 188
Option 1: +, ×, ÷, −
Option 2: ×, −, ÷, +
Option 3: +, −, ÷, ×
Option 4: ÷, ×, −, +
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Correct Answer: ×, −, ÷, +
Solution :
Given:
33 * 4 * 15 * 3 * 61 = 188
Replace * with the mathematical signs and solve the equations one by one using
the
BODMAS.
First option:
+, ×, ÷, –
33 + 4 × 15 ÷ 3 – 61 = 188
Solving the L.H.S. of the equation –
= 33 + 4 × 5 – 61
= 33 + 20 – 61
⇒ –8 ≠ 188
Second option:
×, –, ÷, +
33 × 4 – 15 ÷ 3 + 61
Solving the L.H.S. of the equation –
= 33 × 4 – 5 + 61
= 132 – 5 + 61
⇒ 188 = R.H.S.
Third option:
+, –, ÷, ×
33 + 4 – 15 ÷ 3 × 61
Solving the L.H.S. of the equation –
= 33 + 4 – 5 × 61
= 37 – 305
⇒ –268 ≠ 188
Fourth option:
÷, ×, –, +
33 ÷ 4 × 15 – 3 + 61
Solving the L.H.S. of the equation –
= 8.25 × 15 – 3 + 61
= 123.75 – 3 + 61
⇒ 181.75 ≠ 188
So, only the second option satisfies the given equation. Hence, the second option is correct.
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