Question : The average age of P, Q, and R is 5 years more than R's age. If the total ages of P and Q together is 39 years, then R's age is:
Option 1: 12 years
Option 2: 24 years
Option 3: 16 years
Option 4: 14 years
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Correct Answer: 12 years
Solution : Given: The average age of $P, Q$, and $R$ is 5 years more than R's age. The total ages of $P$ and $Q$ together is 39 years. According to the question, ⇒ $\frac{(P+Q+R)}{3}=R+5$ ⇒ $P+Q+R=3R+15$ ⇒ $P+Q=2R+15$ ⇒ $39=2R+15$ ⇒ $R = 12$ years Hence, the correct answer is 12 years.
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Question : Directions: If the age of Rahul is 5 years more than his friend Ajay's age, the age of Rahul's wife is 6 years less than Rahul's, and Ajay's wife is 1 year older than Rahul's wife, then which of the following statements is true?
Option 1: Rahul's age and Ajay's wife's age are the same
Option 2: Ajay's wife's age and Ajay's age are the same
Option 3: Rahul and Ajay are of the same age
Option 4: Rahul's and Ajay's age difference is 3 years
Question : The average age of 30 students in a class is 12 years. The average age of a group of 5 of the students is 10 years and that of another group of 5 of them is 14 years. The average of the remaining students is:
Option 1: 14 years
Option 2: 12 years
Option 3: 11 years
Option 4: 13 years
Question : Jitin's age 3 years from now will be double the average of Jitin's current age and his age 8 years ago. What was Jitin's age 5 years ago?
Option 1: 7 years
Option 2: 8 years
Option 4: 6 years
Question : If the average age of Ram, Raman, and Rohan is 23 years and the average age of Raman and Rohan is 27 years, then find Ram's age 5 years ago.
Option 1: 10 years
Option 2: 25 years
Option 3: 15 years
Option 4: 20 years
Question : P's income is 250 percent of Q's income and P's expenditure is 180 percent of Q's expenditure. If P's income is 400 percent of Q's expenditure, then what is the respective ratio of P's savings and Q's savings?
Option 1: 11 : 5
Option 2: 5 : 2
Option 3: 11 : 3
Option 4: 8 : 3
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