Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
(44 * 3) * 9 * 89 * (174 * 29) * 58
Option 1: ÷, −, =, −, ×, −
Option 2: +, ÷, +, =, −, ×
Option 3: ×, +, =, +, ×, ÷
Option 4: ×, +, =, −, ÷, +
Correct Answer: ×, +, =, −, ÷, +
Solution :
Given:
(44 * 3) * 9 * 89 * (174 * 29) * 58
Let's check the given options –
First option:
÷, −, =, −, ×, −
⇒ (44 ÷ 3) – 9 = 89 – (174 × 29) – 58
Solving the L.H.S. of the equation –
= 14.67 – 9 = 5.67
Solving the R.H.S. of the equation –
= 89 – 5046 – 58
= –5015
L.H.S. ≠ R.H.S.
Second option:
+, ÷, +, =, −, ×
⇒ (44 + 3) ÷ 9 + 89 = (174 – 29) × 58
Solving the L.H.S. of the equation –
= 47 ÷ 9 + 89
= 5.22 + 89
= 94.22
Solving the R.H.S. of the equation –
= 145 × 58 = 8410
L.H.S. ≠ R.H.S.
Third option:
×, +, =, +, ×, ÷
⇒ (44 × 3) + 9 = 89 + (174 × 29) ÷ 58
Solving the L.H.S. of the equation –
= 132 + 9 = 141
Solving the R.H.S. of the equation –
= 89 + 5046 ÷ 58
= 89 + 87 = 176
L.H.S. ≠ R.H.S.
Fourth option:
×, +, =, −, ÷, +
⇒ (44 × 3) + 9 = 89 – (174 ÷ 29) + 58
Solving the L.H.S. of the equation –
= 132 + 9 = 141
Solving the R.H.S. of the equation –
= 89 – 6 + 58 = 141
L.H.S. = R.H.S.
So, only the fourth option satisfies the given equation. Hence, the fourth option is correct.
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