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
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Correct Answer: 41 years
Solution : Given:
The average age of 19 boys in a class is 21 years
⇒ (sum of the ages of boys) ÷ 19 = 21
⇒ (sum of the ages of boys) = 19 x 21 = 399
The average with teacher's age included = 22
⇒ (sum of ages of boys + age of the teacher) ÷ 20 = 22
⇒ (sum of ages of boys + age of the teacher) = 22 x 20 = 440
⇒ 399 + (age of the teacher) = 440
⇒ (age of the teacher) = 440 – 399 = 41.
Hence, option second is correct.
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Question : Direction: Joan's age is 42, and Kelvin's age is 26. How many years ago was Kelvin's age half of Joan's age?
Option 1: 6 years
Option 2: 4 years
Option 3: 10 years
Option 4: 8 years
Question : The ratio of A's age to B's age is $4:3$. A will be 26 years old after 6 years. The age of B now is:
Option 1: $19\frac{1}{2}$ years
Option 2: $12$ years
Option 3: $21$ years
Option 4: $15$ years
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
Question : Directions: The present age of A is two times the present age of B. After 8 years, B's age will be four times C's present age. If 9 years ago, C celebrated his fifth birthday, then what is the present age (in years) of A?
Option 1: 88
Option 2: 96
Option 3: 92
Option 4: 84
Question : Direction: At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
Option 1: 12 years
Option 2: 15 years
Option 3: 19.5 years
Option 4: 25 years
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