Question : Directions: Select the correct combination of the mathematical signs to replace star symbols (*) in the below equation and thereby balance it.
65 * 5 * 17 * 24 * 21 * 224
Option 1: ÷, ×, +, –, =
Option 2: +, ×, –, ÷, =
Option 3: ÷, ×, –, +, =
Option 4: ×, +, –, ÷, =
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Correct Answer: ÷, ×, +, –, =
Solution :
Given:
65 * 5 * 17 * 24 * 21 * 224
Replace * with the mathematical signs and solve the equations one by one using BODMAS.
First options:
÷, ×, +, –, =
65 ÷ 5 × 17 + 24 – 21 = 224
On solving the L.H.S. of the given equation –
= 65 ÷ 5 × 17 + 24 – 21
= 13 × 17 + 24 – 21
= 221 + 24 – 21
= 224
Second option:
+, ×, –, ÷, =
65 + 5 × 17 – 24 ÷ 21 = 224
On solving the L.H.S. of the given equation –
= 65 + 5 × 17 – 24 ÷ 21
= 65 + 5 × 17 – 1.143
= 65 + 85 – 1.143
= 148.857 ≠ 224
Third option:
÷, ×, –, +, =
65 ÷ 5 × 17 – 24 + 21 = 224
On solving the L.H.S. of the given equation –
= 13 × 17 – 24 + 21
= 221 – 24 + 21
= 218 ≠ 224
Fourth option:
×, +, –, ÷, =
65 × 5 + 17 – 24 ÷ 21 = 224
On solving the L.H.S. of the given equation –
= 65 × 5 + 17 – 1.14
= 325 + 17 – 1.14
= 340.86 ≠ 224
So, the first option satisfies the equation. Hence, the first option is correct.
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