Average
- The average monthly income (in ₹) of certain agricultural workers is S and that of other workers is T. The number of agricultural workers is 11 times that of other workers. Then, the average monthly income (in ₹) of all the workers is :
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Let the number of other workers be n.
∴ Number of agricultural workers = 11n∴ Required average monthly income = S × 11n + n × T (11n + n)
Correct Option: C
Let the number of other workers be n.
∴ Number of agricultural workers = 11n∴ Required average monthly income = S × 11n + n × T (11n + n) Required average monthly income = ₹ 11S + T 12
- A man’s pension on retirement from service is equal to half the average salary during last 3 years of his service. His salary from 1-1-1983 is ₹380 per month with increment of ₹40 due on 1-10-83, 1-10-84 and 1-10-85, If he retires on 1-1-86, what pension does he draw per month?
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O the basis of given details in question , we have
Total salary of 3 years = ₹(380 × 9 + 420 × 12 + 460 × 12 + 500 × 3)
Total salary of 3 years = ₹(3420 + 5040 + 5520 + 1500) = ₹15480
Average monthly salary = 15480 ÷ 36 = ₹430Correct Option: B
O the basis of given details in question , we have
Total salary of 3 years = ₹(380 × 9 + 420 × 12 + 460 × 12 + 500 × 3)
Total salary of 3 years = ₹(3420 + 5040 + 5520 + 1500) = ₹15480
Average monthly salary = 15480 ÷ 36 = ₹430
∴ Amount of pension = 430 ÷ 2 = ₹215
- The average age of 3 friends is 23 years. Even if the age of 4th friend is added, the average age remains the same. Then the age of the fourth friend is :
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Here , The average age of 3 friends = 23 years
According to the question,
Average age remains same.Correct Option: D
Here , The average age of 3 friends = 23 years
According to the question,
Average age remains same.
∴ Fourth friend’s age = Average age of three friends = 23 years.
- Numbers of boys and girls are ‘x’ and ‘y’ respectively. Ages of a girl and a boy are ‘a’ years and ‘b’ years respectively. The average age (in years) of all boys and girls is
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According to question ,
Total age of boys = ap years
Total age of girls = bq yearsCorrect Option: C
According to question ,
Total age of boys = ap years
Total age of girls = bq years∴ Required average = ap + bq p + q
- Three years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today. The present age of the baby is:
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Here , Three years ago, the average age of 5 members = 17 years.
Total age of the family 3 years ago = 5 × 17 = 85 years
Total present age of the family = 85 + 15 = 100 years
Let the child’s present age be y years.
According to the question,
100 + y = 17 × 6 = 102Correct Option: A
Here , Three years ago, the average age of 5 members = 17 years.
Total age of the family 3 years ago = 5 × 17 = 85 years
Total present age of the family = 85 + 15 = 100 years
Let the child’s present age be y years.
According to the question,
100 + y = 17 × 6 = 102
⇒ y = 102 – 100 = 2 years
Hence , the child’s present age is 2 years.