Directions : Study the following information carefully to answer the given…
2022
Directions : Study the following information carefully to answer the given questions: 9 persons P, Q, R, S, T, U, V, W and X of different age belong to three different states viz. Assam, Manipur and Tripura but not necessarily in the same order. Not less than two and not more than four persons belong to any state.
Note: If it is given that A and the one who is 12 years old belong to same state then it means A is not 12 years old.
W and the one who is 51 years old belong to same state. Only Q and the one whose age is 18 years belong to same state. P and V belong to different state. W is 7 years younger to V. S is twice older to Q. P and S belong to different state. V who is 61 years old and the one whose age is 64 years belong to same state. S neither belongs to Assam nor Tripura. The one whose age is 35 years belong to Tripura. No one’s age is less than 18 years and more than 68 years. T and the one who is 64 years old belong to the same state. W does not belong to Tripura. U and the one who is 29 years old belong to same state. P is not belonged to Assam. R is 29 years old and 3 years younger to Q. X is the youngest one. P is 2 years older to U. P’s age is not multiple of 5.
How many persons are younger to the one who is just younger to T?
- A.
Seven
- B.
Four
- C.
Three
- D.
Five
- E.
More than seven
Attempted by 3 students.
Show answer & explanation
Correct answer: B
Concept
This is a linear age + state grouping puzzle. The method is to first convert every relative-age clue (X years younger/older, twice as old) into a fixed numeric age, then place each person into a state using the "same-state" pairing clues. A key wording rule: "A and the one who is N years old belong to the same state" means A and the N-year-old are two different people sharing a state — so A is itself not N years old.
Step 1 — Fix the ages
R = 29 (given). R is 3 years younger to Q, so Q = 29 + 3 = 32.
S is twice as old as Q, so S = 2 × 32 = 64.
V = 61 (given). W is 7 years younger to V, so W = 61 − 7 = 54.
Four named ages must still appear — 51, 35, 18 — for P, T, U, X (with P = U + 2 and P not a multiple of 5).
The 35-year-old is in Tripura, but T sits in Manipur (Step 2), so T ≠ 35; and 35 is a multiple of 5 so P ≠ 35. This forces T = 51, U = 35, P = 37 (= 35 + 2, not a multiple of 5), and X = 18.
X = 18 is the youngest, satisfying "X is the youngest one" and the "no age below 18" bound.
Step 2 — Fix the states
S is neither Assam nor Tripura, so S is in Manipur. V (61) shares S's state, and T shares the 64-year-old's (S's) state, so V and T are also Manipur. The 51-year-old is T, and W shares the 51-year-old's state, so W is Manipur too — filling Manipur with four people. The 35-year-old (U) is in Tripura, and R (29) shares U's state, so R is Tripura; P is not in Assam and Manipur is full, so P is Tripura as well. That leaves Q and the 18-year-old (X) together in Assam.
Final age–state grid
Person | Age | State |
|---|---|---|
X | 18 | Assam |
R | 29 | Tripura |
Q | 32 | Assam |
U | 35 | Tripura |
P | 37 | Tripura |
T | 51 | Manipur |
W | 54 | Manipur |
V | 61 | Manipur |
S | 64 | Manipur |
Step 3 — Answer the question
T is 51. The person "just younger to T" is the one with the greatest age below 51 — that is P, aged 37. Now count how many people are younger than 37: X (18), R (29), Q (32) and U (35) — exactly 4 persons.
Cross-check
Ages below 37 are 18, 29, 32, 35 → four values, and no other age lies between 37 and 51, confirming P is indeed the one just younger than T. Hence the count is 4.