# Dinner Party Riddle

583.2K Views

Helen and her husband invited their neighbors (four members) for a dinner at home. The six of them sat at a round table. Helen tells you the following:

“Victor sat on the left of the woman who sat on the left of the man who sat on the left of Anna.
Esther sat on the left of the man who sat on the left of the woman who sat on the left of the man who sat on the left of the woman who sat on the left of my husband.
Jim sat on the left of the woman who sat on the left of Roger.
I did not sit beside my husband.”

What is the name of Helen’s husband?

SherlockHolmes Expert Asked on 26th January 2018 in

ROGER

krishnaprasath Starter Answered on 26th January 2018.

How?

on 27th January 2018.

See detailed explanation in my answer below.

on 30th January 2018.

From the statements, it is evident that the hosts and the guests were seated in an alternating Male – Female arrangement.
Thus, we have the general arrangement as in Fig. 1. (‘M’ and ‘F’ indicate Male and Female participants of the party. Seats are numbered for ease of reference.)

Since the first statement regarding the seating arrangement talks about the position of Victor, let us start by placing him in one of the ‘M’ seats, say, Seat No. 1. (Can be 3 or 5 as well, makes no difference except for corresponding change in the seat taken by Anna) Then we have the seat positions as in Fig. 2.

Statement 2 mentions the placement of Esther. There are only two ‘F’ seats (2 and 6) that could be occupied by her. If we assume that she was seated at No. 2, the second statement would mean that she sat on the left of the man (Victor) who sat on the left of the woman (S6) who sat on the left of the man (S5) who sat on the left of the woman (S4) who sat on the left of Helen’s husband. This would mean that the man who occupied S3 must be Helen’s husband.

Statement 3 describes Jim’ placement. He could be either at S3 or S5, the only remaining ‘M’ seats. However, he can’t be at S3 because, as per statement 3, he sat on the left of the woman (S2) who sat on the left of Roger, which would contradict our original placement as per which seat 1 is taken by Victor. Hence, Jim must be at S5, which, in turn, means that S3, the only remaining ‘M’ seat, must be occupied by Roger. Thus, as per the deduction from statement 2 above, Helen’s husband must be ROGER. Thus, we get the seat placement as in Fig. 3.

Now, the only remaining seat is S6 which must be occupied by Helen. (This also satisfies the last statement that Helen did NOT sit beside her husband. This completes the seating arrangement.
————————————————————————————————————————–

In the above sequence, we had assumed that Esther was seated at S2. Now, if we take the other possible scenario in which she was seated at S6, the ‘left of left of…’ sequence in the statement 2 would mean that Victor was Helen’s husband, because Esther sat “on the left of the man (S5) who sat on the left of the woman (S4) who sat on the left of the man (S3) who sat on the left of the woman (S2) who sat on the left of” Helen’s husband. This leaves Helen seated at S2, the only ‘F’ seat remaining. However, this contradicts the final statement according to which Helen did NOT sit beside her husband whereas S2 is beside Victor who, as per the assumption, is her husband.

Thus, we can conclude that this alternate assumption is NOT possible.

Hence, the result: Helen’s husband is ROGER, and we have the final seat arrangement as per fig. 4.

Viji_Pinarayi Expert Answered on 28th January 2018.

• ## More puzzles to try-

• ### How will you program it to work?

The LCD device should be able to tell the right time in the format HH:MM:SS in 12-hour format. You can ...Read More »

Imagine that a farmer has a sack containing 100 lbs of potatoes. The potatoes, he discovers, are comprised of 99% ...Read More »
• ### What is the color of the sole marble left in the bag ?

There is a bag which have 21 blue balls and 23 red balls. You also have 22 red balls outside ...Read More »
• ### Ballon tragedy Riddle

One sunny afternoon, three men go for a ride on a hot air balloon over the Thar desert. After two ...Read More »
• ### Bank cashier mistake puzzle

You went to a bank to cash out your cheque. By mistake the bank cashier gives you- Dollar amount in ...Read More »
• ### Gaurds in front of Samsung Store

What do you call gaurds in front of a Samsung store?Read More »
• ### Train and Bird riddle

One train leaves Los Vegas at 15 mph heading for New York. Another train leaves from New York at 20 ...Read More »

• ### Would you believe that the colors of squares A and B are the same?

Would you believe that the colors of squares A and B are the same? They are!Use your fingers or a ...Read More »
• ### Most Analytical GOOGLE INTERVIEW Question Revealed

Let it be simple and as direct as possible. Interviewer : Tell me how much time (in days) and money would ...Read More »
• ### Fox, Duck and Corn transportation Puzzle

A man transports a fox, a duck and corn in a boat. The boat is only capable of transporting himself ...Read More »
• ### Century’s final day riddle

Assuming year 1 started on Sunday, it can be shown that only some days are possible as a century’s final ...Read More »
• ### Making Dollar riddle

You are given “n” coins of denominations 1, 0.5, 0.25, 0.1, 0.05 and 0.01 (6n coins altogether). You are then ...Read More »
• ### How much dirt in hole puzzle

How much dirt is there in a hole that is 3 ft deep, and 6 inches in diameter?Read More »
• ### I am above the star puzzle

My residence is above a star and yet I don’t burn, I have eleven friends who do not turn, Never ...Read More »
• ### Hidden words in raining picture puzzle

Find hidden words in the imageRead More »
• ### Why did the man thank the bartender?

A man runs into a bar and asks for a glass of water. The bartender pulls out a shotgun and ...Read More »
• ### White Buffalo

Holding two long poles, five fellows Chase a herd of white buffalo into a cave.Read More »
• ### Bacteria colony on Petri dish puzzle

A Petri dish hosts a healthy colony of bacteria. Once a minute every bacterium divides into two. The colony was ...Read More »
• ### Help Arun to come out of maze puzzle

Arun got stuck in a maze with a many-headed Minotaur ready to kill him any instant. He has only one ...Read More »