Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
30 * 4 * 2 * 1 * 121
Option 1: ×, +, −, =
Option 2: ×, −, ÷, =
Option 3: ×, −, +, =
Option 4: ÷, +, −, =
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Correct Answer: ×, +, −, =
Solution :
Given:
30 * 4 * 2 * 1 * 121
Let's check the options –
First option:
×, +, −, =
⇒ 30 × 4 + 2 − 1 = 121
Solving the L.H.S. of the given equation –
= 30 × 4 + 2 − 1
= 120 + 2 − 1
= 121
Second option:
×, −, ÷, =
⇒ 30 × 4 − 2 ÷ 1 = 121
Solving the L.H.S. of the given equation –
= 30 × 4 − 2 ÷ 1
= 30 × 4 − 2
= 120 − 2
= 118 ≠ 121
Third option:
×, −, +, =
⇒ 30 × 4 − 2 + 1 = 121
Solving the L.H.S. of the given equation –
= 30 × 4 − 2 + 1
= 120 − 2 + 1
= 119 ≠ 121
Fourth option:
÷, +, −, =
⇒ 30 ÷ 4 + 2 − 1 = 121
Solving the L.H.S. of the given equation –
= 30 ÷ 4 + 2 − 1
= 7.5 + 2 − 1
= 8.5 ≠ 121
So, only the first option satisfies the given equation. Hence, the first option is correct.
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