Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
65 * 45 * 25 * 5 * 35 * 60
Option 1: −, +, −, +, =
Option 2: +, ×, +, −, =
Option 3: +, −, +, −, =
Option 4: −, +, ÷, +, =
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Correct Answer: −, +, ÷, +, =
Solution :
Given:
65 * 45 * 25 * 5 * 35 * 60
Let's check the given options –
First option:
−, +, −, +, =
⇒ 65 − 45 + 25 − 5 + 35 = 60
Solving the L.H.S. of the equation –
= 125 − 45 − 5
= 75
≠
60
Second option
: +, ×, +, −, =
⇒ 65 + 45 × 25 + 5 − 35 = 60
Solving the L.H.S. of the equation –
= 65 + 1125 + 5 − 35
= 1195 − 35
= 1160
≠ 60
Third option
: +, −, +, −, =
⇒ 65 + 45 − 25 + 5 − 35 = 60
Solving the L.H.S. of the equation –
= 115 − 25 − 35
= 55
≠ 60
Fourth option:
−, +, ÷, +, =
⇒ 65 − 45 + 25 ÷ 5 + 35 = 60
Solving the L.H.S. of the equation –
= 65 − 45 + 5 + 35
= 105 − 45
= 60
So, only the fourth option satisfies the given equation. Hence, the fourth option is correct.
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