Age Problems MCQs with Answers – Solved from Past Papers
34 solved Age Problems MCQs collected from real PPSC, FPSC, SPSC, KPPSC, BPSC & NTS past papers (2002–2025). Tap an option to attempt — see correct answer instantly. Download the full PDF for offline revision.
The sum of the ages of ason anda father is 64. After 4 years the age of father will be three times that of his sons. The age of the father is?
Show solution
Let son=s, father=f. s+f=64 and f+4=3(s+4). From first f=64-s; substitute: 64-s+4=3s+12 → 68-s=3s+12 → 56=4s → s=14, f=50. Father's age = 50.
Aperson’s age after 15 years will be four times his age 15 years ago. What is his present age?
Show solution
Let present age=x. x+15=4(x-15) → x+15=4x-60 → 75=3x → x=25. Present age is 25 years.
The sum of ages of two children is 12 and their product is 32. The age of elder one?
Show solution
Ages satisfy x²-12x+32=0 → (x-4)(x-8)=0, giving ages 4 and 8. The elder is 8 years.
The age of baby will be 5 times after 20 years. What is the present age of baby?
Show solution
Interpreting as 'baby's age will be 5 times present after 20 years': x+20=5x → 20=4x → x=5. Present age = 5 years.
Ahmad is as much younger than Saeed as he is older than Tanveer. If the sum of the ages of Saeed and Tanveer is 48 years. What is the age of Ahmad?
Show solution
Let Ahmad=a, Saeed=s, Tanveer=t. s-a=a-t → s+t=2a. Given s+t=48, so 2a=48, a=24. Ahmad is 24.
If Amna is x years old then 5 times Amna’s age three years ago is?
Show solution
Amna's age 3 years ago = x-3. Five times that = 5(x-3) = 5x-15.
Avg age of A-E is 40; avg of A&B is 35; avg of C&D is 42. Age of E?
Show solution
Sum of A-E = 5×40=200. A+B=70, C+D=84. E = 200-70-84 = 46.
The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Show solution
Ages in AP with common diff 3: x, x+3, x+6, x+9, x+12. Sum=5x+30=50 → x=4. Youngest = 4 years.
Ais the father of B but B is not A’s son. What is relationship of B to A?
Show solution
A is the father of B, but B is not A's son, so B must be A's daughter.
Ais father of B, but B is not son of A, Then what is B?
Show solution
Same logic: if A is father of B and B is not A's son, then B is A's daughter.
Amanis 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is?
Show solution
Let son=s, father=s+24. In 2 years: s+24+2 = 2(s+2) → s+26 = 2s+4 → s=22. Son is 22 years.
A father tells his son, “I was of your present age when you were born.” If the father is 36 now, how old was the PREPARATION WIT boy five years back if he is half the age of his father now?
Show solution
Father is 36, son is half = 18 now. Five years back the son was 18-5 = 13 years.
Laila is four times as old as her 2-year- old brother Mansoor. How old will Mansoor be when he is half the age of his older sister Laila?
Show solution
Laila=8, Mansoor=2 now. After t years: Mansoor=2+t, Laila=8+t. Set 2+t = (8+t)/2 → 4+2t=8+t → t=4. Then Mansoor = 6.
Amana got engaged 10 years ago. Amana’s present age is 5/3 of her age at the time of engagement. If the PREPARATION WI present age of Amana’s mother is twice that of Amana’s present age, then what was her mother’s age (in years) at the time of her engagement?
Show solution
Let Amana's present age=x. x = (5/3)(x-10) → 3x=5x-50 → x=25. Mother now=50, so at engagement (10 years ago) mother was 40.
A father is twice as old as his son, 20 years ago, the age of the father was 12 times the age of the son. The present age of the father (in years) is?
Show solution
Let son=s, father=2s. 20 years ago: 2s-20 = 12(s-20) → 2s-20 = 12s-240 → 220 = 10s → s=22, father=44.
Aman’s age is three times his son’s in 15 years, it will be double that of his son’s. How old is the son now?
Show solution
Let son=s, father=3s. In 15 yrs: 3s+15 = 2(s+15) → 3s+15 = 2s+30 → s=15.
Ais two years older than B who is twice as old as C. If the total ages of A, Band C be 27, what is the age of B?
Show solution
C=c, B=2c, A=2c+2. Sum: 2c+2+2c+c = 5c+2 = 27 → c=5, B=10.
At the birth of his son, Ali’s age is 32 and after how many years his age become 5 times of his son’s age?
Show solution
After t years: 32+t = 5t → 32 = 4t → t=8.
Ais B’s sister, C is B’s mother, D is C’s father, E is D’s mother. Then how is A related to D?
Show solution
A is B's sister; C is B's mother (so C is also A's mother); D is C's father (A's grandfather). A is female, so A is D's granddaughter.
Pointing to a photograph, a man said, “1 have no brother, and that girl’s father is my father’s son.” Whose photograph was it?
Show solution
'My father's son' = the man himself (he has no brother). So the girl's father is him → the girl is his daughter.
Javed will be 6-times as old in 50 years as he is now. What is the present age of Javed?
Show solution
Let present=x. x+50 = 6x → 50=5x → x=10.
Javed will be 6-times as old in 50-years as he is now. What is the present age of Javed?
Show solution
Same as previous; x+50 = 6x → x=10.
If thirty years ago my age was 1/6th of what it is now, then what is my present age in years?
Show solution
x-30 = x/6 → 6x-180 = x → 5x=180 → x=36.
A’s mother is twice as old as A’s brother. A is 6 years younger than his brother but 4 years older than his sister. If A’s sister is 15, his mother’s age is?
Show solution
Sister=15, A=15+4=19, brother=19+6=25, mother=2×25=50.
If 12 years are added to 2/3 age of Rani, she will be three years older than today. What is Rani’s present age?
Show solution
(2/3)x + 12 = x + 3 → 12-3 = x – (2/3)x → 9 = x/3 → x=27.
'‘A'has a brother 'B’. 'A' is son of 'C’. 'D' is father of 'C'. What relation is 'B' of ‘D'?
Show solution
A is son of C, B is A's brother (also son of C). D is father of C, so D is grandfather of A and B. B is male → grandson.
A father is 9 times as old as his son and the mother is 8 times as old as the son. Sum of father’s and mother’s age is 51. What is the age of the son?
Show solution
Father=9s, mother=8s. 9s+8s=17s=51 → s=3.
Huma’s age after 15 years will be 5 times of her age 5 years back. What is the present age of Huma?
Show solution
x+15 = 5(x-5) → x+15 = 5x-25 → 40 = 4x → x=10.
AWomanis 5 years younger than her husband and he is 5 times as old as his daughter. If the daughter was 5 years old 3 years back, what is the present age of the woman?
Show solution
Daughter now = 5+3=8. Husband=5×8=40. Woman=40-5=35.
Ten years ago, Mohsin was thrice as old as Rabia, but 10 years hence, he will be only twice as old. Find Mohsin’s present age?
Show solution
Let Rabia=r, Mohsin=m. m-10=3(r-10) → m=3r-20. m+10=2(r+10) → m=2r+10. Equate: 3r-20=2r+10 → r=30, m=70. Mohsin is 70.
A father is now three times as old as his son. Five years back, he was four times as old as his son. The age of the son is?
Show solution
Father=3s, 5 yrs ago: 3s-5 = 4(s-5) → 3s-5 = 4s-20 → s=15.
The sum of the present ages of a father and his son is 60 years. Six years ago, father’s age was five times the age of the son. After 6 years, son’s age will be?
Show solution
f+s=60, f-6=5(s-6) → f=5s-24. Then 5s-24+s=60 → 6s=84 → s=14, f=46. After 6 yrs son=20.
Aliis now half of his father’s age. After 20 years, his father will be one anda half times older than Ali. The present age of Ali is?
Show solution
Let Ali=a, father=2a. After 20: 2a+20 = 1.5(a+20) → 2a+20 = 1.5a+30 → 0.5a=10 → a=20. (Interpreting 'one and a half times' as ×1.5.)
Five years ago, age of father was thrice the age of son. If son is 30 years old PREPARATION WI now, what is the current age of father?
Show solution
Son now=30, so 5 yrs ago son=25; father then=3×25=75; father now=75+5=80.
Age Problems MCQs for PPSC, FPSC, NTS & All Pakistani Competitive Exams
Age Problems is one of the most reliable scoring topics in Pakistani competitive exam Math. From PPSC Lecturer, Sub-Inspector and Tehsildar tests to FPSC CSS Screening (MPT), NTS NAT/GAT, OTS, CTS, KPPSC, SPSC, BPSC and AJKPSC — almost every paper contains 1 to 3 age-based word problems. Mastering this one topic alone can secure 1–3 marks in any One Paper format exam because every question reduces to one or two linear equations.
QuizWing has compiled 34 verified age problem MCQs from real past papers spanning 2002–2025 — every question solved from scratch by AI and answer keys verified. The bank covers father-son ratio problems, multi-person time-shift problems, sum-and-product age problems (quadratic), present-age vs years-ago / years-after problems, and average-age problems.
What types of age problems appear?
- Father-son ratio — “Sum of son and father is 64; after 4 yrs father is 3× son” → father 50, son 14
- Self time-shift — “A’s age after 15 yrs will be 4× his age 15 yrs ago” → present = 25
- Sum & product — “Sum of two ages is 12 and product is 32” → ages 4 and 8 (roots of x²−12x+32=0)
- Multi-person — A, B, C with ratio + time-shift constraints; one variable per person
- Average-age problems — “Avg age of 5 family members” → sum of ages
- Relationship-shift — “When son was born, father was 30; what was avg age then vs now?”
Key age-problem formulas
Step-by-step solving checklist
- 1. Define variables — let present age of the asked-about person = x
- 2. Express other people’s ages in terms of x using given ratios or relationships
- 3. Apply time shifts — add or subtract years for “after N years” / “N years ago”
- 4. Set up the equation from the condition (ratio after shift, sum, etc.)
- 5. Solve — usually linear; if quadratic, factor or use formula
- 6. Verify by back-substitution — does the answer satisfy both the present and shifted conditions?
Mental-math shortcuts
- Plug-in shortcut — for MCQs, test the middle option first; if too high or too low, narrow down
- “k times older” warning — in standard PPSC convention, “k times older” usually means simply ×k (treat as “k times as old as”)
- Time-shift identity — if A’s age in N years equals k times B’s age in N years, then (A + N) = k × (B + N)
- Sum-and-product trick — if you know sum S and product P, the ages are roots of x² − S·x + P = 0; quickly factor by finding two numbers that add to S and multiply to P
- Average × count = total — for family or group age problems, multiply average by number of people to get total sum of ages
- Difference is constant — the age gap between two people NEVER changes; useful for sanity-checks
How to use this page for revision
Quiz mode: Tap any option — green = correct, red = wrong. Use the pagination buttons to move between sets of 25 MCQs at a time.
PDF download: Click Download PDF in the sticky bar to grab all 34 MCQs with answers for offline study.
Mixed practice: attempt our full PPSC Mock Test with all subjects + weighted distribution to simulate the real exam.
Age Problems weightage by exam
| Exam | Typical Age Problems MCQs | Marks Share |
|---|---|---|
| PPSC One Paper | 1–3 | 2–5 |
| FPSC Screening | 2–5 | 4–8 |
| NTS NAT / GAT | 3–6 | 5–10 |
| CSS Screening (MPT) | 3–6 | 6–12 |
| OTS / CTS | 2–4 | 3–7 |
| SPSC / KPPSC / BPSC | 1–3 | 2–5 |
All MCQs sourced from official past papers of PPSC, FPSC, SPSC, KPPSC and NTS. Found a wrong answer? WhatsApp 0302-1417839 — we fix every reported issue within 24 hours.
Frequently Asked Questions
Typically 1 to 2 age problems MCQs appear in every PPSC One Paper test (Sub-Inspector, Tehsildar, Junior Clerk, Lecturer, BPS-14/16/17). FPSC, NTS and CSS papers tend to include 1–3. Mastering this topic alone secures 1–3 guaranteed marks because every question reduces to setting up one or two linear equations involving present age plus or minus a time shift.
Based on our analysis of 34 past-paper MCQs (2002–2025), the three most-recurring types are: (1) father-son ratio problems with a time-shift condition, (2) present age with single-person time-shift conditions, and (3) sum-and-product age problems solvable via quadratic.
No. Calculators are not allowed in PPSC, FPSC, NTS, OTS or any provincial commission exam. Practise mental math shortcuts — 10%, 25%, 50% calculations should take under 5 seconds.
Yes for PPSC and FPSC — 0.25 marks deducted per wrong answer. Strategy: if you can eliminate 2 out of 4 options confidently, attempt it; otherwise leave blank.
Yes — click the Download PDF button in the sticky bar at the top of the quiz section. You get all 34 MCQs with answers in a branded QuizWing PDF, free, no signup.
Yes — 100% transferable. All provincial public service commissions follow a near-identical Math syllabus. The same age problems MCQs appear (often verbatim) in SPSC, KPPSC, BPSC, AJKPSC and NTS NAT/GAT papers.
Message us on WhatsApp at 0302-1417839 with the question number and what you believe the correct answer should be. We verify against multiple sources and fix every reported issue within 24 hours.