Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
268 * 4 * 8 * 5 * 14 = 41
Option 1: +, ×, −, ÷
Option 2: ×, ÷, +, −
Option 3: ÷, ×, +, −
Option 4: ÷, −, ×, +
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Correct Answer: ÷, −, ×, +
Solution :
Given:
268 * 4 * 8 * 5 * 14 = 41
Let's check the options –
First option:
+, ×, −, ÷
⇒ 268 + 4 × 8 − 5 ÷ 14 = 41
Solving the L.H.S. of the equation –
⇒ 268 + 4 × 8 − 0.36
⇒ 268 + 32 − 0.36
⇒ 299.64 ≠ 41
Second option:
×, ÷, +, −
⇒ 268 × 4 ÷ 8 + 5 − 14 = 41
Solving the L.H.S. of the equation –
⇒ 268 × 0.5 + 5 − 14
⇒ 134 + 5 − 14
⇒ 125 ≠ 41
Third option:
÷, ×, +, −
⇒ 268 ÷ 4 × 8 + 5 − 14 = 41
Solving the L.H.S. of the equation –
⇒ 67 × 8 + 5 − 14
⇒ 536 + 5 − 14
⇒ 527 ≠ 41
Fourth option:
÷, −, ×, +
⇒ 268 ÷ 4 − 8 × 5 + 14 = 41
Solving the L.H.S. of the equation –
⇒ 67 − 8 × 5 + 14
⇒ 67 − 40 + 14
⇒ 41
Here, only the fourth option satisfies the equation. Hence, the fourth option is correct.
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