Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
20 * 60 * 40 * 20 * 10 * 0
- AOption (a)
+, –, ×, ÷, =
- BOption (b)
+, ×, –, ÷, =
- COption (c)
+, ×, –, =, ÷
- DOption (d)
÷, –, ×, +, =
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Correct answer
+, –, ×, ÷, =
Why this answer is correct
Given: 20 * 60 * 40 * 20 * 10 * 0
According to the question, after replacing the signs:
Option 1) +, –, ×, ÷, =
20 * 60 * 40 * 20 * 10 * 0 ⇒ 20 + 60 - 40 × 20 ÷ 10 = 0
⇒ 20 + 60 - 40 × 20 ÷ 10 = 0
⇒ 20 + 60 - 40 × 2 = 0
⇒ 20 + 60 - 80 = 0
⇒ 80 - 80 = 0
⇒ 0 = 0 (LHS = RHS)
Option 2) +, ×, –, ÷, =
20 * 60 * 40 * 20 * 10 * 0 ⇒ 20 + 60 × 40 - 20 ÷ 10 = 0
⇒ 20 + 60 × 40 - 20 ÷ 10 = 0
⇒ 20 + 60 × 40 - 2 = 0
⇒ 20 + 2400 - 2 = 0
⇒ 2420 - 2 = 0
⇒ 2418 ≠ 0 (LHS ≠ RHS)
Option 3) +, ×, –, =, ÷
20 * 60 * 40 * 20 * 10 * 0 ⇒ 20 + 60 × 40 - 20 = 10 ÷ 0
⇒ (20 + 60 × 40 - 20) × 0 = 10
⇒ (20 + 2400 - 20) × 0 = 10
⇒ (2420 - 20) × 0 = 10
⇒ 2400 × 0 = 10
⇒ 0 ≠ 10 (LHS ≠ RHS)
Option 4) ÷, –, ×, +, =
20 * 60 * 40 * 20 * 10 * 0 ⇒ 20 ÷ 60 - 40 × 20 + 10 = 0
⇒ 20 ÷ 60 - 40 × 20 + 10 = 0
⇒ 0.33 - 40 × 20 + 10 = 0
⇒ 0.33 + 10 - 80 = 0
⇒ 10.33 - 80 = 0
⇒ -69.67 ≠ 0 (LHS ≠ RHS)
Hence, "Option 1" is the correct answer.






































































