Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
74 * 34 * 78 * 23 * 23 * 30
Option 1: ÷, –, +, ×, =
Option 2: +, ÷, ×, –, =
Option 3: +, –, +, –, =
Option 4: –, ÷, +, ×, =
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Correct Answer: +, –, +, –, =
Solution :
Given:
74 * 34 * 78 * 23 * 23 * 30
Replace the * sign given in the equation with the assigned signs in the options one by one –
First option:
÷, –, +, ×, =
74 ÷ 34 – 78 + 23 × 23 = 30
Solving the L.H.S. of the equation –
= 2.17 – 78 + 23 × 23
= 2.17 – 78 + 529
= 453.17 ≠ 30
Second option:
+, ÷, ×, –, =
74 + 34 ÷ 78 × 23 – 23 = 30
Solving the L.H.S. of the equation –
= 74 + 0.435 × 23 – 23
= 74 + 10.005 – 23
= 61.005 ≠ 30
Third option:
+, –, +, –, =
74 + 34 – 78 + 23 – 23 = 30
Solving the L.H.S. of the equation –
= 131 – 101
= 30
Fourth option:
–, ÷, +, ×, =
74 – 34 ÷ 78 + 23 × 23 = 30
Solving the L.H.S. of the equation –
= 74 – 0.435 + 23 × 23
= 74 – 0.435 + 529
= 602.565 ≠ 30
So, only the third option satisfies the equation. Hence, the third option is correct.
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