Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
467 * 231 * 123 * 789 * 345 * 131
Option 1: +, –, +, +, =
Option 2: +, −, −, +, =
Option 3: +, −, ×, +, =
Option 4: ×, −, −, +, =
Correct Answer: +, −, −, +, =
Solution :
Given:
467 * 231 * 123 * 789 * 345 * 131
Let's check the given options –
First option:
+, –, +, +, =
⇒ 467 + 231 – 123 + 789 + 345 = 131
Solving the L.H.S. of the equation –
= 1832 – 123
= 1709 ≠ 131
Second option:
+, −, −, +, =
⇒ 467 + 231 − 123 − 789 + 345 = 131
Solving the L.H.S. of the equation –
= 1043 − 123 − 789
= 131
Third option:
+, −, ×, +, =
⇒ 467 + 231 − 123 × 789 + 345 = 131
Solving the L.H.S. of the equation –
= 467 + 231 − 97047 + 345
= −96004 ≠ 131
Fourth option:
×, −, −, +, =
⇒ 467 × 231 − 123 − 789 + 345 = 131
Solving the L.H.S. of the equation –
= 107877 − 123 − 789 + 345
= 107310 ≠ 131
So, only the second option satisfies the given equation. Hence, the second option is correct.
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