Question : Directions: Select the correct combination of mathematical signs to replace the * signs and balance the given equation.
5 * 15 * 320 * 2 * 45 = 190
Option 1: +, ÷, ×, −
Option 2: ×, +, ÷, −
Option 3: +, ×, ÷, −
Option 4: ×, ÷, −, +
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Correct Answer: ×, +, ÷, −
Solution :
Given:
5 * 15 * 320 * 2 * 45 = 190
Let's check the options –
First option:
+, ÷, ×, −
⇒ 5 + 15 ÷ 320 × 2 − 45 = 190
Solving the L.H.S. of the given equation –
= 5 + 15 ÷ 320 × 2 − 45
= 5 + 0.0468 × 2 − 45
= 5 + 0.0936 − 45
= −39.9064 ≠ 190
Second option:
×, +, ÷, −
⇒ 5 × 15 + 320 ÷ 2 − 45 = 190
Solving the L.H.S. of the given equation –
= 5 × 15 + 320 ÷ 2 − 45
= 5 × 15 + 160 − 45
= 75 + 160 − 45
= 190
Third option:
+, ×, ÷, −
⇒ 5 + 15 × 320 ÷ 2 − 45 = 190
Solving the L.H.S. of the given equation –
= 5 + 15 × 320 ÷ 2 − 45
= 5 + 15 × 160 − 45
= 5 + 2400 − 45
= 2360 ≠ 190
Fourth option:
×, ÷, −, +
⇒ 5 × 15 ÷ 320 − 2 + 45 = 190
Solving the L.H.S. of the given equation –
= 5 × 15 ÷ 320 − 2 + 45
= 5 × 0.0468 − 2 + 45
= 0.234 − 2 + 45
= 43.234 ≠ 190
So, only the second option satisfies the given equation. Hence, the second option is correct.
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