Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
(626 * 2) * (11 * 9) * 69 * 240 * 103
Option 1: ÷, +, ×, =, +, +
Option 2: +, ×, =, ÷, +, −
Option 3: ÷, −, ×, =, −, ×
Option 4: +, ×, =, −, ÷, +
Correct Answer: ÷, +, ×, =, +, +
Solution :
Given:
(626 * 2) * (11 * 9) * 69 * 240 * 103
Replace * with the mathematical signs and solve the equations one by one using BODMAS.
Let's check the given options –
First option:
÷, +, ×, =, +, +
⇒ (626 ÷ 2) + (11 × 9) = 69 + 240 + 103
L.H.S. = (626 ÷ 2) + (11 × 9)
= 313 + 99 = 412
R.H.S. = 69 + 240 + 103
= 412
Here, L.H.S = R.H.S
Second option:
+, ×, =, ÷, +, −
⇒ (626 + 2) × 11 = 9 ÷ 69 + 240 − 103
L.H.S. = (626 + 2) × 11
= 628 × 11
= 6908
R.H.S. = 9 ÷ 69 + 240 − 103
= 0.13 + 240 − 103
= 137.13
Here, L.H.S ≠ R.H.S
Third option:
÷, −, ×, =, −, ×
⇒ (626 ÷ 2) − (11 × 9) = 69 − 240 × 103
L.H.S = (626 ÷ 2) − (11 × 9)
= 313 − 99
= 214
R.H.S = 69 − 240 × 103
= 69 − 24720
= −24651
Here, L.H.S ≠ R.H.S
Fourth option:
+, ×, =, −, ÷, +
⇒ (626 + 2) × 11 = 9 − 69 ÷ 240 + 103
L.H.S = (626 + 2) × 11
= 628 × 11
= 6908
R.H.S = 9 − 69 ÷ 240 + 103
= 9 − 0.29 + 103
= 111.71
Here, L.H.S ≠ R.H.S
So, only the first option satisfies the given equation. Hence, the first option is correct.
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