Directions : Read the following information carefully and answer the following…
2020
Directions : Read the following information carefully and answer the following questions.
Seven persons A, B, C, D, E, F, and G are born on seven different dates in a year but not necessarily in the same order and they like different fruits. There is a gap of three days between the birth dates of every person. Ex- If R was born on 12th May then the person born immediately after R and immediately before R should be born a gap of 3 days. F was born on 16th June. Only two persons were born before F. The number of persons born before D, who likes Apple is equal to the number of persons born after G, who likes Guava. Only one person was born between G and A, who likes Oranges. B does not like Kiwi was born one of the dates before E but after C. B was not born after A. E does not like Grapes, Peach, and Kiwi. F does not like Peach, Kiwi, and Pear.
How many persons were born between the one who likes Guava and the one who likes Grapes?
- A.
One
- B.
Two
- C.
Three
- D.
None of these
- E.
Either One or Two
Show answer & explanation
Correct answer: C
Concept
A linear birth-order puzzle is solved by first anchoring whoever is pinned to an absolute slot by a count, then narrowing the remaining slots with the relative clues ("equal counts before/after", "only one between", "born before/after") until exactly one ordering survives. Because every consecutive gap is the same (three days), the dates act as seven equally spaced slots, so only the relative ORDER matters and the calendar dates are irrelevant to any "how many between" question.
Application: fix the order
Anchor F: "only two persons were born before F" forces F into the 3rd slot (two earlier slots filled, F third).
List the candidates from the equal-count clue: persons before D = persons after G. With F fixed at the 3rd slot, this equation alone still allows four mirrored pairs — D-1st/G-7th, D-2nd/G-6th, D-6th/G-2nd, and D-7th/G-1st. It is NOT yet forced; it must be combined with the ordering clues below.
Apply the ordering clues to prune: we need C before B, B before E, and B before A (B is not after A). That requires a run with C earliest among them and at least three people ordered after C, which cannot fit when D or G occupies an extreme slot the wrong way. Testing the four pairs, only D-1st with G-7th leaves enough correctly ordered room for C, B, A, E; the other three pairs break C < B < E or B < A. So D is 1st and G is 7th.
Place A using G: exactly one person sits between G and A. With G in the 7th slot, A must be in the 5th slot (one person, the 6th, between them).
Finish C, B, E in the leftover slots 2nd, 4th, 6th honouring C before B before E and B before A (A is 5th): C = 2nd, B = 4th, E = 6th.
Final order, earliest to latest: D, C, F, B, A, E, G.
Application: assign the fruits
Given likes: D → Apple, G → Guava, A → Oranges. The remaining four fruits (Grapes, Peach, Kiwi, Pear) go to C, F, B, E using the negative clues:
F cannot like Peach, Kiwi, or Pear → F likes Grapes.
E cannot like Grapes, Peach, or Kiwi → E likes Pear.
B cannot like Kiwi, and Grapes and Pear are already taken → B likes Peach.
Only Kiwi is left for C → C likes Kiwi.
Birth order (earliest first) | Person | Fruit |
|---|---|---|
1st | D | Apple |
2nd | C | Kiwi |
3rd | F | Grapes |
4th | B | Peach |
5th | A | Oranges |
6th | E | Pear |
7th | G | Guava |
Cross-check and result
The Grapes-liker sits in the 3rd slot and the Guava-liker in the 7th slot, so the slots strictly between them are the 4th, 5th and 6th — that is, three persons (B, A and E). Re-reading every clue against this single arrangement confirms it holds and no other ordering survives, so the count of persons between the Guava-liker and the Grapes-liker is exactly three.