Question Details

Directions: Read the following information carefully and answer the questions given below:

Ten engineers—P, Q, R, S, T, U, V, W, X, and Y—are scheduled to deliver technical presentations on two different dates, either 14th or 27th, across five different months: March, April, May, June, and July of the same year.

P presents on an even-numbered date of March. Q presents immediately after P. As many persons present before Q as after X. Y presents on an odd date of July immediately after X. Only four persons present between P and T. S presents immediately before T. Only two persons present between T and W. R presents in April on an odd date. V presents in a month having 30 days on an even date. U presents immediately after V.

Who among the following delivers a presentation four persons after Q?

Options

A

V

B

U

C

T

D

W

E

S

Show Answer

Correct Answer :

Option C

T

Solution :

The correct answer is T.

Step-by-step Solution:

There are ten engineers: P, Q, R, S, T, U, V, W, X, and Y. They give presentations on two dates (14th and 27th) across five months: March, April, May, June, and July of the same year.

The 10 available slots in chronological order are:
1. March 14th
2. March 27th
3. April 14th
4. April 27th
5. May 14th
6. May 27th
7. June 14th
8. June 27th
9. July 14th
10. July 27th

Step 1: Determine positions of P, Q, X, and Y
- "P presents on an even-numbered date of March." Thus, P = March 14th (Slot 1).
- "Q presents immediately after P." Thus, Q = March 27th (Slot 2).
- "As many persons present before Q as after X." Since there is 1 person before Q, there must be 1 person after X. Thus, X = July 14th (Slot 9).
- "Y presents on an odd date of July immediately after X." Thus, Y = July 27th (Slot 10).

Step 2: Determine positions of T and S
- "Only four persons present between P and T." Since P is at Slot 1, four persons sit between Slot 1 and T, placing T at Slot 6 (1 + 4 + 1 = 6). Thus, T = May 27th (Slot 6).
- "S presents immediately before T." Thus, S = May 14th (Slot 5).

Step 3: Determine positions of W and R
- "Only two persons present between T and W." T is at Slot 6. Moving 3 positions backward gives Slot 3 (since Slot 9 is occupied by X). Thus, W = April 14th (Slot 3).
- "R presents in April on an odd date." The odd date of April is April 27th. Thus, R = April 27th (Slot 4).

Step 4: Determine positions of V and U
- "V presents in a month having 30 days on an even date." The 30-day months are April and June. April slots are already occupied, so V must present on June 14th. Thus, V = June 14th (Slot 7).
- "U presents immediately after V." Thus, U = June 27th (Slot 8).

Final Schedule Table:
- March 14th: P
- March 27th: Q
- April 14th: W
- April 27th: R
- May 14th: S
- May 27th: T
- June 14th: V
- June 27th: U
- July 14th: X
- July 27th: Y

Conclusion:
To find who delivers a presentation four persons after Q (Slot 2):
- 1st person after Q: W (Slot 3)
- 2nd person after Q: R (Slot 4)
- 3rd person after Q: S (Slot 5)
- 4th person after Q: T (Slot 6)

Hence, T delivers a presentation four persons after Q.

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