Question : Directions: Select the correct combination of mathematical signs to replace the * signs and to balance the given equation.
50 * 95 * 19 * 15 * 3 * 1
Option 1: =, ÷, +, ×, ×
Option 2: +, =, ÷, +, +
Option 3: +, ×, ×, =, ÷
Option 4: ×, +, =, ÷, ×
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Correct Answer: =, ÷, +, ×, ×
Solution :
Given:
50 * 95 * 19 * 15 * 3 * 1
Replace * with the mathematical signs and solve the equations one by one using BODMAS.
Let's check the given options –
First option:
=, ÷, +, ×, ×
⇒ 50 = 95 ÷ 19 + 15 × 3 × 1
Solving the R.H.S. of the equation –
= 5 + 45 = 50
L.H.S. = 50
Second option:
+, =, ÷, +, +
⇒ 50 + 95 = 19 ÷ 15 + 3 + 1
Solving the L.H.S. and R.H.S. of the equation –
= 145 = 1.26 + 4
= 145 ≠ 4.26
Third option:
+, ×, ×, =, ÷
⇒ 50 + 95 × 19 × 15 = 3 ÷ 1
Solving the L.H.S. and R.H.S. of the equation –
= 50 + 27075 = 3
= 27125 ≠ 3
Fourth option:
×, +, =, ÷, ×
⇒ 50 × 95 + 19 = 15 ÷ 3 × 1
Solving the L.H.S. and R.H.S. of the equation –
= 4750 + 19 = 5 × 1
= 4769 ≠ 5
So, only the first option satisfies the given equation. Hence, the first option is correct.
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