MCQ
Numerical: Problems on Ages MCQ - Practice Questions with Answers
Solve 15 Numerical: Problems on Ages questions for RAS/RPSC preparation.
Practice questions
Q1The present ages of two brothers are in the ratio 3 : 5. After 8 years, their ages will be in the ratio 5 : 7. Which of the following statements is correct?
Let the present ages of the younger and elder brothers be 3x and 5x years. After 8 years, their ages will be 3x + 8 and 5x + 8. Given ratio: (3x + 8)/(5x + 8) = 5/7. Cross-multiplying, 7(3x + 8) = 5(5x + 8). So 21x + 56 = 25x + 40, hence 16 = 4x and x = 4. The elder brother’s present age is 5x = 20 years.
Q2A mother's present age is 4 times her daughter's present age. Eight years ago, the mother's age was 8 times the daughter's age. Which of the following statements is incorrect?
Let the daughter's present age be x years. Then the mother's present age is 4x. Eight years ago, their ages were 4x − 8 and x − 8. Given 4x − 8 = 8(x − 8). So 4x − 8 = 8x − 64, giving 56 = 4x and x = 14. The mother is 56 years old and the age difference is 42 years. After 10 years, their ages will be 66 and 24, and 66 is not 3 times 24. Therefore, statement D is incorrect.
Q3Rekha is 6 years older than Nisha. After 4 years, the sum of their ages will be 40 years. Consider the statements: 1. Rekha's present age is 19 years. 2. Nisha's present age is 13 years. 3. The product of their present ages is 247. Which statements are correct?
Let Nisha's present age be x years. Then Rekha's present age is x + 6 years. After 4 years, their ages will be x + 4 and x + 10. Their sum is given as 40, so (x + 4) + (x + 10) = 40. Thus 2x + 14 = 40, giving 2x = 26 and x = 13. Nisha is 13 years old and Rekha is 19 years old. Their product is 19 × 13 = 247. Hence, all three statements are correct.
Q4Riya is 8 years older than Nisha. Four years from now, the sum of their ages will be 54 years. Which statement is correct?
Let Nisha's present age be x years. Since Riya is 8 years older, Riya's present age is x + 8. Four years from now, their ages will be x + 4 and x + 12. Their sum is 54, so x + 4 + x + 12 = 54. This gives 2x + 16 = 54, hence 2x = 38 and x = 19. Riya's present age is 19 + 8 = 27 years.
Q5The difference between the present ages of Ramesh and Suresh is 24 years. After 6 years, Ramesh will be twice as old as Suresh. What is Suresh’s present age?
Let Suresh’s present age be x years. Since Ramesh is 24 years older, Ramesh’s present age is x + 24 years. After 6 years, their ages will be x + 6 and x + 30. The condition says Ramesh will be twice Suresh’s age, so x + 30 = 2(x + 6). Thus x + 30 = 2x + 12, giving x = 18. Hence Suresh’s present age is 18 years.
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More questions
6The present ages of Amit, Beena and Charu are in the ratio 2:3:4. The sum of their ages after 5 years will be 69 years. Which option correctly matches the quantities with their values?
7The present age of a man is 3 times the present age of his younger brother. After 8 years, the man's age will be twice his brother's age. Which of the following statements is incorrect?
8The sum of a father’s and his son’s present ages is 56 years. Four years ago, the father’s age was three times the son’s age. What is the son’s present age?
9Match the age-related quantities in List I with their correct values in List II. A mother is 27 years older than her daughter. After 6 years, the mother’s age will be 4 times the daughter’s age. List I: 1. Daughter’s present age, 2. Mother’s present age, 3. Sum of their present ages. List II: P. 30 years, Q. 3 years, R. 33 years.
10The average age of 4 friends is 24 years. When a fifth friend joins the group, the average age becomes 26 years. What is the age of the fifth friend?
11A person's age 5 years ago was 3/4 of his age 7 years from now. What is his present age?
125 years ago, the ratio of the ages of a father and his son was 7 : 2. 10 years from now, the father's age will be twice the son's age. What is the son's present age?
13The present ages of a father and his son are in the ratio 5:2. After 6 years, the ratio of their ages will be 17:8. What is the father's present age?
14The average age of 5 members of a family is 28 years. One member aged 40 years leaves the family, and a new member joins. If the new average age becomes 25 years, what is the age of the new member?
15The sum of the present ages of a mother and her daughter is 48 years. After 6 years, the mother's age will be 3 times the daughter's age. Which statement is correct?