| Coverage : The GMAt Practice Test- Math - Problem on Ages has been designed to test the important concepts and skills related to ages. The test covers important topics like determining someone's age, computing present age or calculating age hence a few years etc. |
| 1. | Tim's age after 10 yrs will be 4 times his age 5 years back. Determine his present age. |
| a. | | 9 years |
| b. | | 15 years |
| c. | | 12 years |
| d. | | 10 years
|
| |
| 2. | X and Y are brothers and they differ by 12 years. If 4 years ago, the age of X be twice the age of Y, find their present ages. |
| a. | | X = 28 yrs, Y = 16 yrs |
| b. | | X = 24 yrs, Y = 14 yrs |
| c. | | X = 20 yrs, Y = 8 yrs |
| d. | | X = 8 yrs, Y = 20 yrs
|
| |
| 3. | The product of the ages of A and B is 104. If thrice the age of B is less than A's age by 11 years. Find the B's age. |
| a. | | 10 years |
| b. | | 8 years |
| c. | | 12 years |
| d. | | 9 years
|
| |
| 4. | The present age of a mother is thrice the age of her son. If five years ago, the ratio of their ages is 1:4. Find the son's age after five years. |
| a. | | 15 years |
| b. | | 20 years |
| c. | | 12 years |
| d. | | 18 years
|
| |
| 5. | The present age of a father is 3 years more than thrice the age of his son. Three years hence, the father's age will be 10 years more than twice the age of the son. Find the present age of the father. |
| a. | | 28 years |
| b. | | 30 years |
| c. | | 33 years |
| d. | | 29 years
|
| |
| 6. | A father was 4 times as old as his son 8 years ago? After 8 years, the son will be twice as old as his son. What is the present age of son? |
| a. | | 16 years |
| b. | | 12 years |
| c. | | 15 years |
| d. | | 14 years
|
| |
| 7. | A year ago, the ratio of Betty's and Chi's age was 6:7 respectively. Four years hence, this ratio would become 7:8. How old is Betty? |
| a. | | 34 years |
| b. | | 29 yeras |
| c. | | 25 years |
| d. | | 30 years
|
| |
| 8. | Two years ago, Benny's age was 11 years more than thrice the age of her student. Four years hence, the difference between their ages will be of 21 years. Find the Benny's age when her student would turn 15 years. |
| a. | | 28 years |
| b. | | 36 years |
| c. | | 30 years |
| d. | | 29 years
|
| |
| 9. | Anny's age after six years will be three-seventh of his father's age. Ten years ago, the ratio of their ages was 1:5. What is the present age of Anny's father ? |
| a. | | 48 years |
| b. | | 55 years |
| c. | | 50 years |
| d. | | 45 years
|
| |
| 10. | Rose and Lily have their present ages in the ratio of 4:3 respectively. Eight years hence, the ratio of their ages will become 8:7 respecively. Determine Lily's present age. |
| a. | | 5 years |
| b. | | 8 years |
| c. | | 4 years |
| d. | | 6 years
|
| |
| 11. | Rocky is 22 and his brother Ronnie is 25 years old. How many years ago was the ratio of their ages 2:5 ? |
| a. | | 20 years |
| b. | | 2 years |
| c. | | 10 years |
| d. | | 22 years
|
| |
| 12. | The ages of X and Y are in the ratio of 3:8 respectively and product of their ages is 384. Compute the ratio of their ages three years hence. |
| a. | | 3:5 |
| b. | | 2:5 |
| c. | | 3:7 |
| d. | | 3:4
|
| |
| 13. | The ages of Pree and Anee are in the ratio of 2:3 respectively. If twice the age of Pree and one-third the age of Anee are in the ratio 4:1. Compute Anee's present age. |
| a. | | 12 years |
| b. | | 14 years |
| c. | | 10 years |
| d. | | Cannot be determined
|
| |
| 14. | Eight years ago, Rhea was half of Rick in age. If the ratio of their present ages is 3:4, what is the total of their present ages? |
| a. | | 25 years |
| b. | | 28 years |
| c. | | 32 years |
| d. | | 26 years
|
| |
| 15. | Ten years ago, a father was four times as old as his son and ten years hence, the father will be twice as old as son. Find the sum of the present ages of the son and the father. |
| a. | | 50 years |
| b. | | 55 years |
| c. | | 60 yeras |
| d. | | 70 years
|
| |
| 16. | The Julie's father's age is two more than thrice Julie's age. If Julie will be 15 after 4 years, what is her father's present age? |
| a. | | 35 years |
| b. | | 33 years |
| c. | | 32 years |
| d. | | 34 years
|
| |
| 17. | The ratio of present ages of son and his father is 1:3 respectively. If 12 years hence, the ratio of their ages will be 1:2 respectively. Find the present age of the father. |
| a. | | 30 years |
| b. | | 36 years |
| c. | | 24 years |
| d. | | 48 years
|
| |
| 18. | Presently Rita is 8 times her daughter's age. Twelve years hence, the ratio of their ages will be 5:12. Determine Rita's age 10 years ago. |
| a. | | 15 years |
| b. | | 24 years |
| c. | | 14 years |
| d. | | 16 years
|
| |
| 19. | The total age of P and Q is 10 years more than the total age of Q and R. Which of the following is correct? |
| a. | | Q is the youngest. |
| b. | | R is the eldest |
| c. | | P is 10 years elder than R |
| d. | | Q is elder than P
|
| |
| 20. | A is as much younger than B as he is older than C. If the sum of the ages of B and C is 40 years, what is the difference between B and C's age? |
| a. | | 3 years |
| b. | | 4 years |
| c. | | 5 years |
| d. | | Inadequate data.
|
| |
| 21. | The sum of the ages of a father and his son is 50. Ten years ago, the product of their ages was 56. Compute the present ages of son and father respectively. |
| a. | | 12 and 38 |
| b. | | 38 and 12 |
| c. | | 34 and 16 |
| d. | | 16 and 34
|
| |
| 22. | The sum of the ages of 4 children born at the intervals of 2½ years each, is 47 years. Find the age of the eldest child? |
| a. | | 13 years. |
| b. | | 13½ years |
| c. | | 15 years |
| d. | | 15½ years
|
| |
| 23. | The difference between the ages of A and B is 10 years. Ten years ago, A was twice as old as B. Find the age of A, 10 years hence. |
| a. | | 20 years |
| b. | | 30 years |
| c. | | 40 years |
| d. | | 50 years
|
| |
| 24. | In 6 years, A will be thrice as old as B was 4 years ago. If A is now 6 years older than B, find the present age of B. |
| a. | | 16 years |
| b. | | 24 years |
| c. | | 8 years |
| d. | | 12 years
|
| |
| 25. | Presently the ratio of ages of P and Q is 4:5. Eight years ago, the ratio of their ages was 4:7, what will be the ratio of their ages, eight years from now? |
| a. | | 4:9 |
| b. | | 4:11 |
| c. | | 20:23 |
| d. | | 20:21
|
| |
| 26. | A's father was 32 when she was born while her mother was 28 years old when her brother was born, who is 4 years younger to her. Determine the difference between the ages |
| a. | | 4 years |
| b. | | 8 years |
| c. | | 7 years |
| d. | | 6 years
|
| |
| 27. | Ali is 1/4th of Anil's age. Anil's age will be thrice of Krish's age, after 8 years. If Krish's 11th birday was celebrated a year ago, then what is Ali's present age? |
| a. | | 5 years |
| b. | | 6 years |
| c. | | 7 years |
| d. | | 8 years
|
| |
| 28. | At present the son's age is same as was his father's age at the time of his birth. If father's age is 48. Find the son's age after 4 years from now. |
| a. | | 30 years |
| b. | | 24 years |
| c. | | 28 years |
| d. | | Inadequate data
|
| |
| 29. | P and Q have presently ages in the ratio 4:5. After 8 years, the ratio of their ages will be 6:7. Find the ratio of their ages after further 8 years. |
| a. | | 8:9 |
| b. | | 7:8 |
| c. | | 10:11 |
| d. | | 8:7
|
| |
| 30. | X bought a bike 10 years ago. His present age is 5/3 times his age at the time of his buying the bike. X's sister was 8 years younger to him when he bought the bike. Determine the X's sister's present age. |
| a. | | 7 years |
| b. | | 17 years |
| c. | | 13 years |
| d. | | 11 years
|
| |
| 31. | The age of a man is twice the sum of the ages of his two sons. Five years hence, his age will be 16 years more than the sum of the ages of his sons. What is the father's present age? |
| a. | | 42 years |
| b. | | 40 years |
| c. | | 45 years |
| d. | | Inadequate data
|
| |
| 32. | Given A is 12 years, B is two years younger than A ; C is 2 years elder than B.
Column A Column B
A+B B+C |
| a. | | The quantity in column A is greater. |
| b. | | The quantity in column B is greater. |
| c. | | Both the quantities are equal. |
| d. | | Relationship cannot be determined.
|
| |
| 33. | The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was three times the age of the son. Determine the son's age after six years. |
| a. | | 24 years |
| b. | | 18 years |
| c. | | 12 years |
| d. | | 20 years
|
| |
| 34. | Four years ago, the ratio of ages of Purple and Blue was 2:3, respectively. If the sum of their present ages is 28. Compute the ratio of their ages four years hence. |
| a. | | 1:5 |
| b. | | 2:5 |
| c. | | 3:5 |
| d. | | 4:5
|
| |
| 35. | Annie's grandfather was 19 times older to her, eight years ago. If presently she is 10 years more than five times her grandfather's age. Determine the Annie's present age: Annie's Grandfather's present age. |
| a. | | 1:5 |
| b. | | 11:65 |
| c. | | 3:5 |
| d. | | 3:11
|
| |
| 36. | Reeta is 2/5th of her mother's age. After 8 years, she will be half the age of her mother. Determine her mother's present age. |
| a. | | 32 years |
| b. | | 48years |
| c. | | 40 years |
| d. | | 38 years
|
| |
| 37. | Cee is thrice as old as Tee, and Tee is thrice as old as Mee. If sum of their ages is 26, compute Cee's age. |
| a. | | 18 years |
| b. | | 2 years |
| c. | | 6 years |
| d. | | 12 years
|
| |
| 38. | The present ages of P and Q are in the ratio 5:7 respectively. If the ratio between P's age five years hence and Q's age five years ago is 5:4. Compute the ratio of P's age 5 years ago and Q's age 5 years hence. |
| a. | | 5:11 |
| b. | | 5:13 |
| c. | | 5:12 |
| d. | | 5:7
|
| |
| 39. | A husband and his wife have their ages in the ratio of 4:3. After 4 years, the ratio of their ages will be 9:7 and at the time of their marriage the ratio of their ages was 5:3. Compute how many years ago were they married. |
| a. | | 16 years |
| b. | | 15 years |
| c. | | 8 years |
| d. | | 12 years
|
| |
| 40. | The present ages of L, M and N are in the ratio of 4:5:6 and sum of their ages is 45. Find the age of N after 5 years. |
| a. | | 17 years |
| b. | | 18 years |
| c. | | 20 years |
| d. | | 23 years
|
| |
| 41. | The sum of ages of three brothers is 84 years. Four years ago, the ratio of their ages was 3:4:5. Find the age of youngest brother. |
| a. | | 28 years |
| b. | | 22 years |
| c. | | 34 years |
| d. | | 30 years
|
| |
| 42. | Johnathan and Kelly had their ages in the ratio of 4:5, five years ago. And 5 years hence, their ages will be in the ratio 13:15. Compute Kelly's present age. |
| a. | | 20 years |
| b. | | 16 years |
| c. | | 21 years |
| d. | | 25 years
|
| |
| 43. | The product of ages of son and mother is 720. and their ages are in the ratio 5:16. Find the son's age. |
| a. | | 15 years |
| b. | | 48 years |
| c. | | 22 years |
| d. | | 12 years
|
| |
| 44. | If the ratio of ages of Lee and Tee will be 5:9 after few years and their present ages are 12 and 24 respectively. Compute after how many years, their ages will be in the ratio 5:9. |
| a. | | 27 years |
| b. | | 3 years |
| c. | | 21 years |
| d. | | 13 years
|
| |
| 45. | The ratio of present ages of Jack and Jill is 5:7, respectively. If the difference between Jill's present age and Jack's age after 6 years is 2, what is the sum of their present ages? |
| a. | | 45 years |
| b. | | 48 years |
| c. | | 49 years |
| d. | | 43 years
|
| |
| 46. | The present ages of Tim and Lee are in the ratio of 5:6 respectively. Seven years hence, the ratio of their ages will be 6:7 respectively. What is Tim's present age? |
| a. | | 40 years |
| b. | | 32 years |
| c. | | 35 years |
| d. | | 34 years
|
| |
| 47. | Three years ago, the ages of X and Y were in the ratio of 3:4. Four years hence, the ratio of their ages will be 11:12. Determine Y's age. |
| a. | | 14/3 years |
| b. | | 22/5 years |
| c. | | 13 years |
| d. | | 13/2 years
|
| |
| 48. | At present, the ratio between the ages of P and Q is 5:3. After 5 years, P's age will be 25 years. What is the Q's present age? |
| a. | | 15 years |
| b. | | 12 years |
| c. | | 14 years |
| d. | | 16 years
|
| |
| 49. | The present age of husband and wife are in the ratio of 7:6. If wife is 4 years younger to her husband, compute the ratio of their ages after 4 years. |
| a. | | 8:7 |
| b. | | 7:6 |
| c. | | 6:7 |
| d. | | Insufficient data
|
| |
| 50. | A is younger than B by 5 years. If the respective ratio of their ages is 7:8, how old is B? |
| a. | | 40 years |
| b. | | 35 years |
| c. | | 45 years |
| d. | | 30 years
|
| |
