Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
35 * 5 * 7 * 2 * 19 = 42
Option 1: ×, ÷, –, +
Option 2: ÷, ×, +, +
Option 3: +, –, +, –
Option 4: ÷, ×, –, –
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Correct Answer: ×, ÷, –, +
Solution :
Given:
35 * 5 * 7 * 2 * 19 = 42
Replace * with the mathematical signs and solve the equations one by one using BODMAS.
Let's check the given options –
First option:
×, ÷, –, +
⇒ 35 × 5 ÷ 7 – 2 + 19 = 42
Solving the L.H.S. of the equation –
= 25 – 2 + 19
= 42
Second option:
÷, ×, +, +
⇒ 35 ÷ 5 × 7 + 2 + 19 = 42
Solving the L.H.S. of the equation –
= 49 + 2 + 19
= 70 ≠ 42
Third option:
+, –, +, –
⇒ 35 + 5 – 7 + 2 – 19 = 42
Solving the L.H.S. of the equation –
= 40 – 7 + 2 – 19
= 16 ≠ 42
Fourth option:
÷, ×, –, –
⇒ 35 ÷ 5 × 7 – 2 – 19 = 42
Solving the L.H.S. of the equation –
= 49 – 2 – 19
= 28 ≠ 42
So, only the first option satisfies the given equation. Hence, the first option is correct.
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