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Age/Year-Based Puzzle

Introduction

Age / Year-Based puzzles ask you to order people using ages or birth years. These problems train numeric comparison, sequencing, and careful reading of relational clues.

Mastering this pattern helps in solving mixed-sequence DI and ranking problems in exams.

Pattern: Age/Year-Based Puzzle

Pattern

The key idea is to convert comparative age statements into ordered positions (older → left or earlier year) and use given birth years to fix absolute positions.

You will often combine direct year assignments with relative clues like “older than”, “younger than”, “born before/after”, or exact differences in years.

Step-by-Step Example

Question

Five students - A, B, C, D, and E - have birth years among 1990, 1992, 1994, 1996, 1998. Clues: 1️⃣ D was born in 1994. 2️⃣ A is older than C but younger than B. 3️⃣ E is the youngest.

Who is the oldest?

Options:

  • A) A
  • B) B
  • C) C
  • D) D

Solution

  1. Step 1: List available years

    The years (oldest → youngest) are: 1990, 1992, 1994, 1996, 1998.

  2. Step 2: Place the fixed year

    D was born in 1994. Place D at the middle position (3rd): _ _ D _ _.

  3. Step 3: Use 'E is the youngest'

    Youngest → 1998 → E = 1998. Now positions: _ _ D _ E.

  4. Step 4: Use comparative clue A, B, C

    A is older than C but younger than B → ordering among them is B > A > C (older to younger).

  5. Step 5: Fit remaining years

    Remaining years (oldest → youngest) to place: 1990, 1992, 1996. D already at 1994 (middle). Since E is 1998, the oldest two slots (1990,1992) and one slot (1996) remain for B, A, C. To satisfy B > A > C, assign: B = 1990, A = 1992, C = 1996.

  6. Final Answer:

    B → Option B

  7. Quick Check:

    D = 1994 ✅; E = 1998 (youngest) ✅; B (1990) older than A (1992) older than C (1996) ✅

Quick Variations

1️⃣ Exact age differences given (e.g., A is 3 years older than B).

2️⃣ Some birth years given, others relative (mix of absolute + relative).

3️⃣ Ages instead of years (convert ages to birth years if current year provided).

4️⃣ Multiple people share same decade but differ by months - treat consistently.

Trick to Always Use

  • Step 1: Write years in order (oldest → youngest) as placeholders.
  • Step 2: Place fixed/absolute years first, then fill relative constraints.
  • Step 3: When comparing three or more (A > B > C), lock their relative order before slotting years.
  • Step 4: Use 'quick check' by verifying each clue against the filled arrangement.

Summary

Summary

  • Convert comparative statements into a relative ordering (older → earlier year).
  • Place absolute years/birth-year clues first to anchor positions.
  • Fit chained comparisons (A > B > C) into remaining slots in that order.
  • Always perform a Quick Check: verify every original clue against your arrangement.

Example to remember:
If years available are 1990-1998 and one person is fixed at 1994 while another is the youngest (1998), place those anchors first - then slot comparative triplets (B > A > C) into remaining earlier/later years.

Practice

(1/5)
1. Five friends - A, B, C, D, and E - were born in different years: 1985, 1987, 1989, 1991, and 1993. D is older than C but younger than B. A is younger than C. E is older than B. Who is the youngest among them?
easy
A. B
B. A
C. C
D. D

Solution

  1. Step 1: Translate comparative clues

    From clues: E > B > D > C > A (older → younger).

  2. Step 2: Map years (oldest → youngest)

    Assign years accordingly: E = 1985, B = 1987, D = 1989, C = 1991, A = 1993.

  3. Step 3: Identify youngest

    The youngest person is A.

  4. Final Answer:

    A → Option B

  5. Quick Check:

    E (1985) oldest, A (1993) youngest; ordering E > B > D > C > A holds ✅
Hint: Write the order oldest → youngest first, then plug years in descending order.
Common Mistakes: Mixing up relative comparisons when several 'older/younger' clues appear.
2. Four persons - J, K, L, and M - have different ages. L is older than M but younger than K. J is older than L. Who is the second youngest?
easy
A. M
B. K
C. L
D. J

Solution

  1. Step 1: Convert clues to relations

    K > L > M and J > L. Both J and K are older than L, but no relation is given between J and K.

  2. Step 2: Identify the youngest and second youngest

    M is the only person with someone definitively older (L), and no one is younger than M → M is youngest. L has people above (at least J and K) and M below → L is second youngest in every possible arrangement.

  3. Final Answer:

    L → Option C
Hint: When one person is younger than exactly one other and that other has multiple people above, the middle person is fixed as second youngest.
Common Mistakes: Assuming a relation between J and K that is not given in the clues.
3. Six people - P, Q, R, S, T, and U - were born in different years between 1980 and 1990. P is older than R but younger than S. T is younger than U but older than Q. T is younger than P. T is older than R. U is older than P. S is the oldest. Who is younger than P but older than Q?
medium
A. T
B. R
C. U
D. S

Solution

  1. Step 1: Extract given chains

    From the clues we have the chains: S > P > R and U > T > Q.

  2. Step 2: Apply the added constraints

    Extra constraints: T < P, T > R, and U > P. These force P > T > R and place U above P.

  3. Step 3: Merge into a single consistent order

    Combining all clues gives the unique ordering (oldest → youngest): S > U > P > T > R > Q.

  4. Step 4: Identify the required person

    The only person younger than P and older than Q is T.

  5. Final Answer:

    T → Option A
Hint: Add bridging constraints (T < P, T > R, U > P) to force a unique position when merging independent chains.
Common Mistakes: Forgetting the bridging constraints creates multiple valid orders and ambiguity.
4. Five employees - A, B, C, D, and E - joined their company in different years: 2001, 2003, 2005, 2007, and 2009. A joined before D but after B. E joined after D. If C joined earliest, who joined in 2005?
medium
A. B
B. C
C. D
D. A

Solution

  1. Step 1: Decode order clues

    C joined earliest → first. From others: B earlier than A, A earlier than D, and E after D → order among remaining: B > A > D > E.

  2. Step 2: Full order (earliest → latest)

    C, B, A, D, E.

  3. Step 3: Assign years

    C = 2001, B = 2003, A = 2005, D = 2007, E = 2009.

  4. Final Answer:

    A → Option D

  5. Quick Check:

    A in 2005 fits B earlier and D later; all clues satisfied ✅
Hint: Convert 'before/after' info directly into sequence, then map years in increasing order.
Common Mistakes: Assigning years in reverse (treating earlier as larger year).
5. Six people - R, S, T, U, V, and W - were born in different years: 1980, 1982, 1984, 1986, 1988, and 1990. R is younger than T but older than S. U is older than T. W is younger than V but older than R. Who is the oldest?
medium
A. U
B. T
C. V
D. S

Solution

  1. Step 1: Translate clues to order

    From clues: S < R < T and U > T. Also V > W > R.

  2. Step 2: Merge chains logically

    One consistent full order (oldest → youngest) is: U > V > W > T > R > S.

  3. Step 3: Identify oldest

    The oldest person is U.

  4. Final Answer:

    U → Option A

  5. Quick Check:

    U oldest, V > W > R > S, and S < R < T all satisfied ✅
Hint: Link overlapping chains (e.g., R in two chains) to find a single consistent ordering.
Common Mistakes: Misplacing elements that appear in multiple comparison chains.

Mock Test

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