GATE ME 2019 Set 2 — Question 4
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General Aptitude → Analytical Aptitude → Numerical Relations & Reasoning
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Question
The product of three integers , and is 192. is equal to 4 and is equal to the average of and . What is the minimum possible value of ?
- A.6
- B.7
- C.8
- D.9.5
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Solution
Given that the product of three integers , , and is 192 and : is the average of and :To minimize , we need to minimize the sum for integer pairs whose product is 48. The possible integer pairs are:
- Positive pairs:
- Negative pairs:
- Positive:
- Negative:
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