Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
62 * 11 * 42 * 6 * 18 * 21 * 7
Option 1: +, –, =, ×, –, ÷
Option 2: =, ×, ÷, –, +, ÷
Option 3: –, +, =, ×, –, +
Option 4: +, –, ÷, =, ×, +
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Correct Answer: =, ×, ÷, –, +, ÷
Solution :
Given:
62 * 11 * 42 * 6 * 18 * 21 * 7
Replace * with the mathematical signs and solve the equations one by one using BODMAS.
Let's check the given options –
First option:
+, –, =, ×, –, ÷
⇒62 + 11 – 42 = 6 × 18 – 21 ÷ 7
⇒73 – 42 = 6 × 18 – 3
⇒31 = 108 – 3
⇒31 ≠ 105
Second option:
=, ×, ÷, –, +, ÷
⇒62 = 11 × 42 ÷ 6 – 18 + 21 ÷ 7
⇒62 = 11 × 7 – 18 + 3
⇒62 = 77 – 18 + 3
⇒62 = 80 – 18
⇒62 = 62
Third option:
–, +, =, ×, –, +
⇒62 – 11 + 42 = 6 × 18 – 21 + 7
⇒104 – 11 = 108 – 21 + 7
⇒93 = 115 – 21
⇒93 ≠ 94
Fourth option:
+, –, ÷, =, ×, +
⇒62 + 11 – 42 ÷ 6 = 18 × 21 + 7
⇒62 + 11 – 7 = 378 + 7
⇒73 – 7 = 385
⇒66 ≠ 385
Therefore, only the second option satisfies the equation. Hence, the second option is correct.
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