Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
234 * 345 * 456 * 567 * 678 * 12
Option 1: −, +, +, −, =
Option 2: ÷, −, +, −, =
Option 3: +, ×, +, −, =
Option 4: +, −, +, −, =
Correct Answer: +, −, +, −, =
Solution :
Given:
234 * 345 * 456 * 567 * 678 * 12
Let's check the options –
First option:
−, +, +, −, =
⇒ 234 − 345 + 456 + 567 − 678 = 12
Solving the L.H.S. of the equation –
⇒ 1257 − 345 − 678
⇒ 234 ≠ 12
Second option:
÷, −, +, −, =
⇒ 234 ÷ 345 − 456 + 567 − 678 = 12
Solving the L.H.S. of the equation –
⇒ 0.68 − 456 + 567 − 678
⇒ 567.68 − 456 − 678
⇒ − 566.32 ≠ 12
Third option:
+, ×, +, −, =
⇒ 234 + 345 × 456 + 567 − 678 = 12
Solving the L.H.S. of the equation –
⇒ 234 + 157320 + 567 − 678
⇒ 158121 − 678
⇒ 157443 ≠ 12
Fourth option:
+, −, +, −, =
⇒ 234 + 345 − 456 + 567 − 678 = 12
Solving the L.H.S. of the equation –
⇒ 1146 − 456 − 678
⇒ 12
Only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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