Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2022 (15.03.2023) Shift-II (Sanskrit)
The average age of seven members of a family is 35 years. If one member aged 35 years is not included, the ages of the other six members are in the ratio 1:2:3:4:5:6. Find the age of the eldest member of the family.
A60 years ✓ Correct
B65 years
C61 years
D58 years
Correct answer: (A) 60 years — The answer is 60 years.
Explanation
★The answer is 60 years.
★The total age of seven members is 7 times 35, which is 245.
★Removing the member aged 35 leaves a total of 210 for the other six.
★Their ages are in the ratio 1 to 6, giving 21 equal parts.
★Each part is 210 divided by 21, which is 10.
★The eldest has 6 parts, so 6 times 10, which is 60.
★So the answer is 60 years.
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