Weight of a person can be expressed as a function of their age. This function usually varies from person to person. Suppose this function is identical for two brothers and is monotonically increasing until the age of 50 years, after which it monotonically decreases. Let \( a_1 \) and \( a_2 \) (in years) denote the ages of the brothers, where \( a_1 < a_2 \).
Which one of the following statements is correct about their ages on the day they attain the same weight?
Weight of a person can be expressed as a function of their age. This function usually varies from person to person. Suppose this function is identical for two brothers and is monotonically increasing until the age of 50 years, after which it monotonically decreases. Let \( a_1 \) and \( a_2 \) (in years) denote the ages of the brothers, where \( a_1 < a_2 \).
Which one of the following statements is correct about their ages on the day they attain the same weight?
Show Hint
- \( a_1<a_2<50 \)
- \( a_1<50<a_2 \)
- \( 50<a_1<a_2 \)
- Either \( a_1 = 50 \) or \( a_2 = 50 \)
The Correct Option is B
Solution and Explanation
Top Questions on Function Behavior
Weight of a person can be expressed as a function of their age. The function usually varies from person to person. Suppose this function is identical for two brothers, and it monotonically increases till the age of 50 years and then it monotonically decreases. Let \( a_1 \) and \( a_2 \) (in years) denote the ages of the brothers and \( a_1<a_2 \). Which one of the following statements is correct about their age on the day when they attain the same weight?
- Weight of a person can be expressed as a function of their age. The function usually varies from person to person. Suppose this function is identical for two brothers, and it monotonically increases till the age of 50 years and then it monotonically decreases. Let \( a_1 \) and \( a_2 \) (in years) denote the ages of the brothers and \( a_1<a_2 \). Which one of the following statements is correct about their age on the day when they attain the same weight?
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- Weight of a person can be expressed as a function of their age. The function usually varies from person to person. Suppose this function is identical for two brothers, and it monotonically increases till the age of 50 years and then it monotonically decreases. Let \( a_1 \) and \( a_2 \) (in years) denote the ages of the brothers and \( a_1<a_2 \). Which one of the following statements is correct about their age on the day when they attain the same weight?
- GATE AE - 2025
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