Directions: Read the following information carefully and answer the question…
2020
Directions: Read the following information carefully and answer the question that follows.
Seven persons A, B, C, D, E, F and G are born on seven different dates of the same year, not necessarily in the same order, and each likes a different fruit. There is a gap of three days between the birth dates of any two consecutive persons (e.g., if a person was born on the 12th, the person born immediately before and immediately after differ from that date by a gap of three 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, who does not like Kiwi, was born on one of the dates before E but after C. B was not born after A. E does not like Grapes, Peach or Kiwi. F does not like Peach, Kiwi or Pear.
Who among the following was born just after the one who likes Grapes?
- A.
The one who likes Apple
- B.
The one who likes Peach
- C.
The one who likes Kiwi
- D.
Both the one who likes Apple and the one who likes Peach
- E.
None of these
Attempted by 3 students.
Show answer & explanation
Correct answer: A, B
Concept
In a linear birth-order arrangement, each clue pins down either a position (how many are born before/after someone) or a relative order between persons. Convert every clue into a position fact, fix the anchored persons first, then place the rest so that no clue is violated. Once the order is unique, layer the attribute (fruit) clues on top to assign each property.
Setting up the order
There is a fixed three-day gap, so the seven birth dates are equally spaced; only their relative order matters here.
Only two persons were born before F, so F is 3rd in the birth order.
B was born after C and before E, giving the chain C ... B ... E.
B was not born after A, so B comes before A.
Exactly one person lies between G and A, so G and A are two positions apart.
Now apply the count clue: persons born before D must equal persons born after G. Checking every order that already satisfies the four conditions above, this equality holds in only one of them - the case where no one is born before D and no one is born after G. That fixes D at the first position and G at the last.
Placing F as 3rd, D first and G last, and threading C-B-A-E with one person between G and A, every clue is satisfied and the order is unique.
Birth order (earliest to latest)
D, C, F, B, A, E, G.
Assigning the fruits
D likes Apple, G likes Guava and A likes Oranges are given. From the remaining four (Kiwi, Grapes, Peach, Pear) for C, F, B, E:
F cannot like Peach, Kiwi or Pear, so F likes Grapes.
E cannot like Grapes, Peach or Kiwi, so E likes Pear.
B does not like Kiwi, so B likes Peach, leaving Kiwi for C.
Cross-check and result
Final fruits: D-Apple, C-Kiwi, F-Grapes, B-Peach, A-Oranges, E-Pear, G-Guava. The person who likes Grapes is F, sitting 3rd. The person born immediately after F is B, and B likes Peach. Hence the person born just after the one who likes Grapes is the one who likes Peach.