Question : Directions: Select the correct combination of mathematical signs that can sequentially replace the * signs from left to right to balance the following equation.
16 * 35 * 5 * 20 * 4 * 89
Option 1: ×, –, +, ÷, =
Option 2: –, ÷, +, ×, =
Option 3: ×, ÷, +, –, =
Option 4: –, ×, ÷, +, =
Correct Answer: –, ÷, +, ×, =
Solution :
Given:
16 * 35 * 5 * 20 * 4 * 89;
Apply the mathematical operations according to the options to make the equation correct.
Let's check each option –
First option:
×, –, +, ÷, =
16 × 35 – 5 + 20 ÷ 4 = 89
L.H.S.→16 × 35 – 5 + 5
560 – 5 + 5 = 560
560
≠ 89
Second option:
–, ÷, +, ×, =
16 – 35 ÷ 5 + 20 × 4 = 89
L.H.S.→16 – 7 + 80
9 + 89 = 89
89 = 89 (L.H.S. = R.H.S.)
Third option:
×, ÷, +, –, =
L.H.S.→16 × 35 ÷ 5 + 20 – 4 = 89
16 × 7 + 20 – 4
112 + 20 – 4 = 128
128
≠ 89
Fourth option:
–, ×, ÷, +, =
16 – 35 × 5 ÷ 20 + 4 = 89
L.H.S.→16 – 35 × 5 ÷ 20 + 4
16 – 35 × 0.25 + 4
16 – 8.75 + 4 = 11.25
11.25
≠ 89
So, only the second option satisfies the equation. Hence, the second option is correct.
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