Directions : Read the following information carefully and answer the following…
2020
Directions : Read the following information carefully and answer the following questions.
Twelve persons were born on two dates either 7th or 16th of six different months of a year viz. January, March, June, July, September, and October but not necessarily in the same order. The persons whose name starts with a letter before the letter ’M’ were born in the first half of the year and the persons whose name starts with a letter after the letter ’M’ were born in the second half of the year. All letters are according to the English alphabet series. Example- If a person name is Rajesh then he will be born in the second half of the year. The person whose name consists of even number of letters after counting the number of letters is born on an odd numbered date and Vice-Versa. Example- If a person name is ‘Ramesh’ then he will be born on an odd number date (i.e 7) because the sum of number of letters is 6.
Only two persons were born between Pranav and Kumar. The number of persons born before Gaurav is same as born after Yaati. Only four persons were born between Kunal and Gaurav. The number of persons born between Kunal and Sriti is one more than the persons born between Puja and Ram. Ayush was born before Kishan and Gopi. Puja was born in the month of having 31 days. Not more than two persons were born between Kishan and Ram. Swathi is one of the persons.
On which date Gaurav was born?
- A.
7th January
- B.
16th January
- C.
16th March
- D.
Cannot be determined
- E.
None of these
Show answer & explanation
Correct answer: A
Concept
This is a linear (chronological) ordering puzzle. The strategy is to first convert every NAME-based rule into a fixed property (which half of the year a person belongs to, and whether the date is 7 or 16), and only then place people using the gap ("persons born between") clues. Two governing rules drive the fixed properties:
Half rule: a name whose first letter comes before 'M' belongs to the first half (January, March, June); a name whose first letter comes after 'M' belongs to the second half (July, September, October).
Date rule: count the letters of the name — an even letter-count means the person is born on the odd date (the 7th); an odd letter-count means the even date (the 16th).
Order of months (earliest to latest): January, March, June, July, September, October; within a month the 7th precedes the 16th. So there are 12 ordered birth positions, numbered 1 (earliest) to 12 (latest).
Application
Step 1 — fix each person's half and date from the name rules:
First half (before 'M'): Kumar, Gaurav, Kunal, Ayush, Kishan, Gopi. Second half (after 'M'): Pranav, Yaati, Sriti, Puja, Ram, Swathi. Each half therefore fills its own three months (six positions).
Dates by letter-count — Gaurav (6), Kishan (6), Gopi (4) are even → 7th; Kumar (5), Kunal (5), Ayush (5) are odd → 16th. Likewise Pranav (6), Puja (4), Swathi (6) → 7th, and Yaati (5), Sriti (5), Ram (3) → 16th.
Step 2 — chain the gap clues to lock the order (positions 1–12):
Equal-ends clue + four-between clue together: "number born before Gaurav = number born after Yaati" only allows the symmetric pairs (Gaurav, Yaati) = (1,12), (3,10) or (5,8). Of these, "four persons between Kunal and Gaurav" can be satisfied with a valid Kunal slot only when Gaurav is at position 1 (placing Kunal at position 6) — the other two pairs leave no consistent Kunal position — so Gaurav = position 1 and Yaati = position 12.
Position 6 is June-16th, and Kunal's fixed properties (first half, 16th) match it exactly, confirming Kunal at position 6.
Pranav-Kumar clue: "two persons between Pranav and Kumar." Kumar is first-half/16th and Pranav second-half/7th; the only first-half 16th slot still free that sits two places from a valid Pranav slot is March-16th (position 4) for Kumar, forcing Pranav to position 7 (July-7th).
Ayush-before clue: "Ayush before Kishan and Gopi," with Ayush first-half/16th, sends Ayush to January-16th (position 2); the remaining first-half 7th slots (March-7th, June-7th) then take Gopi and Kishan, and "not more than two between Kishan and Ram" fixes Kishan at June-7th (position 5) and Gopi at March-7th (position 3).
Counting clue: "persons between Kunal and Sriti is one more than persons between Puja and Ram," together with "Puja in a 31-day month" (October), forces Puja to October-7th (position 11), Ram to July-16th (position 8), Swathi to September-7th (position 9) and Sriti to September-16th (position 10). Every position is now filled with no contradiction, so the arrangement is unique.
Step 3 — the unique arrangement:
Position | Month | Date | Person |
|---|---|---|---|
1 | January | 7 | Gaurav |
2 | January | 16 | Ayush |
3 | March | 7 | Gopi |
4 | March | 16 | Kumar |
5 | June | 7 | Kishan |
6 | June | 16 | Kunal |
7 | July | 7 | Pranav |
8 | July | 16 | Ram |
9 | September | 7 | Swathi |
10 | September | 16 | Sriti |
11 | October | 7 | Puja |
12 | October | 16 | Yaati |
So Gaurav occupies position 1 — the 7th of January.
Cross-check
Gaurav starts with 'G' (before 'M') → first half, and has 6 letters (even) → the 7th: consistent with 7th January.
Persons before Gaurav = 0; persons after Yaati = 0 — the equal-ends clue holds.
Between Kunal (position 6) and Gaurav (position 1) there are exactly four persons (positions 2–5); Puja sits in October, a 31-day month; Kishan (5) and Ram (8) have two persons between them. Every clue checks out, so the date is uniquely determined.