Question : The average age of six members of a family is 40 years. If the age of a guest is included, then the average age is increased by 12.5%. What is the age (in years) of the guest?
Option 1: 59
Option 2: 65
Option 3: 75
Option 4: 69
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Correct Answer: 75
Solution : The sum of the age of 6 members of a family = $40 \times 6$ = 240 years If the age of a guest is included, then the average age has increased by 12.5% The average age of 7 persons = $40 \times\frac{112.5}{100}$ = 45 years The sum of the age of 7 persons = $45 \times 7$ = 315 years Age of guest = 315 – 240 = 75 years Hence, the correct answer is 75.
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Question : There are 3 members in a family. The average age of the father and mother is 40 years. The average age of the father, mother, and daughter is 30 years. Find the age (in years) of the daughter.
Option 1: 6
Option 2: 12
Option 3: 10
Option 4: 8
Question : Direction: The average age of 19 boys in a class is 21 years. If the teacher's age is included, the average increases to 22 years. What is the teacher's age?
Option 1: 39 years
Option 2: 41 years
Option 3: 40 years
Option 4: 44 years
Question : The term of the office of the member of the UPSC is
Option 1: 3 years , or till they attain 58 years of age
Option 2: 5 years , or till they attain 60 years of age
Option 3: 6 years , or till they attain 65 years of age
Option 4: 6 years
Question : The number of students in section A and section B of a class are 40 and 52, respectively. The average score in mathematics of all the students is 75. If the average score of the students in A is 20 % more than that of students in B then what is the average score of students in B?
Option 1: 71
Option 3: 69
Option 4: 63
Question : The average age of 7 students in a class is 28 years. The average age of the first three students is 30 years. The age of the fourth student is 4 years less than the age of the fifth student. The ages of the last two students are the same and are 5 more than the average age of the first three students. What is the average age of fourth and fifth students?
Option 1: 20 years
Option 2: 36 years
Option 3: 16 years
Option 4: 18 years
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