Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
25 * 4 * 6 * 2 * 17
Option 1: –, +, ×, =
Option 2: +, –, =, +
Option 3: +, –, ÷, =
Option 4: +, –, ×, =
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Correct Answer: +, –, ×, =
Solution :
Given:
25 * 4 * 6 * 2 * 17
Let's check the options –
First option:
–, +, ×, =
⇒ 25 – 4 + 6 × 2 = 17
Solving the L.H.S. of the equation –
= 25 – 4 + 6 × 2
= 25 – 4 + 12
= 37 – 4
= 33
LHS ≠ RHS
Second option:
+, –, =, +
⇒ 25 + 4 – 6 = 2 + 17
Solving the L.H.S. of the equation –
= 25 + 4 – 6
= 29 – 6
= 23
Solving the R.H.S. of the equation –
= 2 + 17
= 19
LHS ≠ RHS
Third option:
+, –, ÷, =
⇒ 25 + 4 – 6 ÷ 2 = 17
Solving the L.H.S. of the equation –
= 25 + 4 – 6 ÷ 2
= 25 + 4 – 3
= 29 – 3
= 26
LHS ≠ RHS
Fourth option:
+, –, ×, =
⇒ 25 + 4 – 6 × 2 = 17
Solving the L.H.S. of the equation –
= 25 + 4 – 6 × 2
= 25 + 4 – 12
= 29 – 12
= 17
LHS = RHS
So, only the fourth option satisfies the given equation. Hence, the fourth option is correct.
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