Question : Directions: Which one of the following responses is correct?
8 * 5 * 27 * 3 * 16
Option 1: ×, =, –, +
Option 2: –, =, ×, +
Option 3: ×, =, +, –
Option 4: +, –, =, ×
Correct Answer: ×, =, –, +
Solution :
Given:
8 * 5 * 27 * 3 * 16
Replace * with the mathematical signs and solve the equation using the BODMAS rule.
Let's check the given options –
First option:
×, =, –, +
⇒ 8 × 5 = 27 – 3 + 16
Solving L.H.S. of the equation –
= 8 × 5 = 40
Solving R.H.S. of the equation –
= 43 – 3 = 40
L.H.S. = R.H.S.
Second option:
–, =, ×, +
⇒ 8 – 5 = 27 × 3 + 16
Solving L.H.S. of the equation –
= 8 – 5 = 3
Solving R.H.S. of the equation –
= 81 + 16 = 97
L.H.S. ≠ R.H.S.
Third option:
×, =, +, –
⇒ 8 × 5 = 27 + 3 – 16
Solving L.H.S. of the equation –
= 8 × 5 = 40
Solving R.H.S. of the equation –
= 30 – 16 = 14
L.H.S. ≠ R.H.S.
Fourth option:
+, –, =, ×
⇒ 8 + 5 – 27 = 3 × 16
Solving L.H.S. of the equation –
= 13 – 27 = –14
Solving R.H.S. of the equation –
= 3 × 16 = 48
L.H.S. ≠ R.H.S.
So, only the first option satisfies the given equation. Hence, the first option is correct.
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