Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
65 * 56 * 8 * 19 * 2 * 34
Option 1: –, ÷, –, ×, =
Option 2: +, +, –, ×, =
Option 3: +, ×, –, ×, =
Option 4: +, ÷, –, ×, =
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Correct Answer: +, ÷, –, ×, =
Solution :
Given:
65 * 56 * 8 * 19 * 2 * 34
Replace * with the mathematical signs and solve the equations one by one using the BODMAS.
Let's check the given options –
First option:
–, ÷, –, ×, =
⇒ 65 – 56 ÷ 8 – 19 × 2 = 34
Solving the L.H.S. of the equation –
= 65 – 7 – 38
= 20 ≠ 34
Second option:
+, +, –, ×, =
⇒ 65 + 56 + 8 – 19 × 2 = 34
Solving the L.H.S. of the equation –
= 65 + 56 + 8 – 38
= 129 – 38
= 91 ≠ 34
Third option:
+, ×, –, ×, =
⇒ 65 + 56 × 8 – 19 × 2 = 34
Solving the L.H.S. of the equation –
= 65 + 448 – 38
= 475 ≠ 34
Fourth option:
+, ÷, –, ×, =
⇒ 65 + 56 ÷ 8 – 19 × 2 = 34
Solving the L.H.S. of the equation –
= 65 + 7 – 38
= 34 = R.H.S.
So, only the fourth option satisfies the given equation. Hence, the fourth option is correct.
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