Quantitative Aptitude

Problems on Ages

346 Questions

Problems on Ages involve calculating current, past, or future ages using ratios, averages, and simple equations. These questions are a regular feature in the arithmetic section of most competitive exams. Practicing these problems helps improve calculation speed and accuracy for time management during tests.

age ratiosaverage age problemspresent age calculationsfuture age equationsfamily age puzzles

Problems on Ages Questions

Multiple choice

Father is 5 year older than the mother and the mother’s age now is thrice the age of the daughter. The daughter is now 10 year old. What was the age of father when the daughter was born?

  1. 20 years

  2. 15 years

  3. 25 years

  4. 30 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Daughter is 10 years old now. Mother's age = 3 × 10 = 30 years. Father is 5 years older than mother = 35 years now. When daughter was born (10 years ago), father was 35 - 10 = 25 years old. Option A (20 years) would make the current age gap too small.

Multiple choice

Average age of a group is 28 years. A person aged 26 leaves the group and two persons of age 29 and 32 join the group. If the new average age of the group is 29, then how many members were in the group initialy?

  1. 5

  2. 6

  3. 7

  4. 8

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the initial number of members be m. Then total age of the group = 28 * m Now, new total age of the group = 28 * m + 35 Total number of members after these changes = m + 1 So, (28 m + 35)/(m + 1) = 29  m = 6

Multiple choice

What is the average age of Indians?

  1. 21 years

  2. 23.5 years

  3. 24.8 years

  4. 27.2 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The average age of Indians is approximately 24.8 years, reflecting the country's youthful demographic profile. This young population represents both a demographic dividend opportunity and a challenge for employment creation and skill development in the coming decades.

Multiple choice

Three years ago, the average age of Katara, Kaya and Dazna was 30 years and that of Kaya and Dazna, 7 years ago, was 20 years. What is Katara’s present age?

  1. 46 years

  2. 5 years

  3. 40 years

  4. Cannot be determined

  5. 45 years
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Total 3 years ago was 30 × 3 = 90, the present total must be 90 + 9 = 99 years. The total of Kaya and Daznza 7 years ago was 20 × 2 = 40, the present total age of Kaya and Dazna must be 40 + 14 = 54 years. The present age of Katara is 45 years

Multiple choice

Hinata and Saske were married 7 years ago. The average age of Hinata and Saske was 25 years when they were married. At present, the average age of Hinata, Saske and their child is 22 years. How many years after their marriage was the child born?

  1. 3 years

  2. 2 years

  3. 5 years

  4. 8 years

  5. 6 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

(Hinata + Saske)/2 = 25 (7 years ago) Their total age 7 years ago = 50 years Hence, their total present age = 50 + 7 + 7 = 64 years Total age of their family (Hinata + Saske + Child) = 22 * 3 = 66 years Age of child = 66 – 64 = 2 years. Hence, child was born 7 – 2 = 5 years after marriage.

Multiple choice

Eleven years ago, the ages of the members of a family of six people added up to 205 years. Three years later, one member died at the age of 55 years and a child was born during the same year. After another three years, one more member died, again at 55, and a child was born during the same year. The current average age of this six-member family is nearest to

  1. 23 years

  2. 45 years

  3. 24 years

  4. 27 years

  5. 26 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

11 years ago, age of 6 members = 205  3 years later, total age of 6 members = 205 + 6*3 - 55 = 168 After another 3 years, total age of 6 members = 168 + 6*3 - 55 = 131 Current total age of 6 members = 131 + 5*6 = 161 Thus, the average is 161/6 = 27 (approximately)

Multiple choice

The average age of a committee of 6 is 45 years. If a member aged 30 resigns and a man aged 60 becomes a member, then the average age of the new committee is

  1. 30 years

  2. 50 years

  3. 40 years

  4. 42 years

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Sum of the ages of 6 members = 45 x 6 = 270 years Sum of the ages of the remaining 5 members = 270 – 30 = 240 years New sum of the ages of 6 members = 240 + 60 = 300 years Average age of new committee = 300/6 = 50 years