(i) The family with two kids came just before the family with no kids.
(ii) D who does not have any kids reached just before C's family.
(iii) P and his wife reached last with their only kid.
(iv) Q is not B's husband.
(v) Q and S are fathers.
(vi) C's and A's daughters go to the same school.
(vii) B came before D and met A when she reached the fixed place.
(viii) R stays farthest from the place and he is a good singer.
(ix) S explained that his son could not come because of exams.
The problem asks us to identify the correct husband and wife pair among four families based on a set of clues about their picnic arrangements and arrival order.
Deriving Family Arrival Order
- Clue (iii): "P and his wife reached last with their only kid." This establishes P as the husband in the 4th (last) arriving family, which has exactly one kid. Let P's wife be Wp. Family 4 = {P (husband), Wp, 1 kid}.
- Clue (ii): "D who does not have any kids reached just before C's family." D belongs to a family with no kids. This family arrived immediately before C's family.
- Clue (vii): "B came before D". B's family arrived before D's family.
- Clue (i): "The family with two kids came just before the family with no kids." Since D's family has no kids, the family arriving just before D's family must have two kids.
- Combining these: B's family has 2 kids. B's family arrived before D's family. D's family has 0 kids. D's family arrived just before C's family. P's family (with Wp) arrived last (4th) with 1 kid.
- This establishes the arrival order of families: Family 1 -> B's family (2 kids) -> D's family (0 kids) -> P's family (P husband, Wp wife, 1 kid).
- From Clue (ii), D's family arrived just before C's family. Since P's family is last (4th), and D's family arrives before C's family, the sequence implies: Family 1 -> Family 2 -> D's family (Family 3, 0 kids) -> P's family (Family 4, 1 kid).
- This means C's family must be the 4th family, the one P belongs to.
Identifying Husband and Wife Pair
- Option B: P and C. If P and C are husband and wife, then C is P's wife (Wp).
- This means C belongs to the 4th family.
- Checking Clue (ii): "D... reached just before C's family." D is in Family 3. C is in Family 4. Family 3 arrives just before Family 4. This condition is met.
- Checking other clues:
- P has a wife (C) and 1 kid (iii) - Fits.
- D has no kids (ii) - Fits D in Family 3.
- B's family has 2 kids (i) - Could be Family 1 or 2.
- B came before D (vii) - Fits.
- C's daughter goes to same school as A's daughter (vi) - Fits, C has a daughter in the 1-kid family.
- Q and S are fathers (v). They must lead families with kids. P leads Family 4. Q or S could lead Family 2 (which has 2 kids).
- S has a son (ix). S is a father.
- Q is not B's husband (iv).
- The pairing of P (husband) and C (wife) fits all deduced conditions, especially the arrival sequence and family characteristics.
Conclusion
Based on the analysis of the clues, P is the husband and C is his wife, forming the last arriving family with their only child.
Important Questions from Logical Puzzle
Below is given a figure, in which a horse is placed on one of the boxes in a square grid of size $5 \times 5$. The horse can move in either of the following ways in a single move:
(i) two boxes to either left or right side and one box to either up or down side
(ii) two boxes to either up or down side and one box to either left or right side
(iii) the horse cannot step on a grey box. The horse has to stay within the grid and any move to out of the grid is NOT legal.
How many white boxes are there which cannot be covered by horse within 3 moves?
- Six persons Raj, Rohit, Rachit, Rajat, Rishu, and Rinku are working in an office. Each of them has a favorite car viz. P, Q, R, S, T, and U, but not necessarily in the same order. Each of them got a different salary - 1000, 2000, 2500, 3000, 3500, and 4000, but not necessarily in the same order. Rajat gets a salary of 2500 and his favorite car is U. The one who likes car Q gets a salary of 3000. Rachit likes car P and gets a salary of 3500. The one who gets a salary of 1000 does not like car R or S. Rinku does not like car Q or S but gets a salary of 2000. Rishu gets a salary of 4000 and does not like a car R. Rohit does not get a salary of 1000. Who gets a salary of 3000?
- Six friends P, Q, R, S, T, and U are sitting at different positions in a row of the company, and each of them get a different salary viz – 500, 800, 1000, 1500, 1800 & 2000, but not necessary in the same order. The friend who gets a salary of 2000 does not sit at the extreme end of the row. Q sits immediately before R and gets a salary of 800. T sits between U and S. Q is second to the left of S. P sits at the left end of the row and gets a salary of 1000. T gets a salary of 1500. R gets a salary neither of 2000 nor of 1800. How much salary does U get?
- Seven men A, B, C, D, E, F and G are standing in a queue, one behind the other in that order. That is, A is first in queue while G brings up the rear. Each of them is wearing a hat of a different colour of the rainbow - Violet, Indigo, Blue, Green, Yellow, Orange, and Red, but not necessarily in that order. It is also known that:
• D can see in front of him green and blue hats, but not the violet hat.
• E can see violet and yellow hats, but not the red hat.
• G can see hats of all the colours except Orange.
• E is wearing the Indigo coloured hat.
What colour hat is worn by F? - Who amongst the females arrived third?
