Study the following information carefully and answer the questions given…
2025
Study the following information carefully and answer the questions given below:
Six persons – A, B, C, D, E and F – were born in different months – April, July, and September – on two different dates, i.e., 9th and 26th of the same year. Each person likes a different colour – Red, Blue, Pink, Green, White, and Yellow. All the information is not necessarily used in the same order Two persons were born between F and the person who likes red. D was born immediately before F on an odd date and in the month having even number of days. The one who likes pink was born two persons before C. E was born immediately before C on an even date. Two persons were born between the ones who like pink and blue. A was born before the one who likes green and two persons after the one who likes yellow. E doesn’t like yellow.
How many persons were born between F and the one who likes blue color?
- A.
Four
- B.
Two
- C.
One
- D.
None
- E.
Three
Show answer & explanation
Correct answer: E
Concept
In a linear birth-order arrangement, fix the chronological line first using the strongest positional clues, then layer the colour clues onto it. Two standard phrasings differ by one: "two persons BETWEEN X and Y" means two people sit strictly in between (a gap of three positions), while "born two persons BEFORE/AFTER" means a separation of two positions (one person in between). The six birth dates in chronological order are Apr 9, Apr 26, Jul 9, Jul 26, Sep 9, Sep 26 — so the date is fixed once the position is fixed.
Building the order
D is immediately before F, with D on an odd date (the 9th) and in a month that has an even number of days. April and September have 30 days (even); July has 31 (odd), so D must sit in April or September. Two consecutive slots fit this — D = Apr 9 then F = Apr 26 (positions 1-2), or D = Sep 9 then F = Sep 26 (positions 5-6). Keep both candidate D-F blocks for now; the Sep block is ruled out below because it leaves no room for the E-before-C and A/Yellow chains, so D = Apr 9, F = Apr 26 (positions 1 and 2) is the surviving placement.
E is immediately before C, with E on an even date (the 26th). The remaining even-date slots are Jul 26 and Sep 26. Taking E = Jul 26 puts C = Sep 9; the only other choice (E = Sep 26) leaves no slot after it for C, so E = Jul 26, C = Sep 9 (positions 4 and 5).
The two remaining people, A and B, fill the two empty slots Jul 9 (position 3) and Sep 26 (position 6).
Placing the colours
Pink is two persons before C (position 5), so Pink is at position 3.
Two persons sit between Pink (position 3) and Blue, so Blue is at position 6.
Two persons sit between F (position 2) and Red, so Red is at position 5.
A is two persons after Yellow and is before Green. Testing A at position 3 makes Yellow position 1 and lets Green sit later; A at position 6 would force Yellow at position 4 but then nobody could be after A for Green. So A = position 3 (Yellow at position 1), which leaves B at position 6.
Green must come after A (position 3); the only free later slot consistent with the remaining colours is position 4, and White takes position 2.
Final arrangement
Position / Date | Person | Colour |
|---|---|---|
1 — Apr 9 | D | Yellow |
2 — Apr 26 | F | White |
3 — Jul 9 | A | Pink |
4 — Jul 26 | E | Green |
5 — Sep 9 | C | Red |
6 — Sep 26 | B | Blue |
Answer the question
F is at position 2 and the Blue lover (B) is at position 6. The people strictly between them sit at positions 3, 4 and 5 — that is A, E and C — so three persons were born between F and the one who likes Blue.
Cross-check
Re-reading each clue against the table confirms it: D immediately before F on Apr 9; E immediately before C on the 26th; Pink (pos 3) two before C (pos 5); two persons between Pink (3) and Blue (6); two persons between F (2) and Red (5); A (pos 3) two after Yellow (pos 1) and before Green (pos 4). Every condition holds, so the count of three is consistent.