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.

Which of the following combinations is correct?

Correct Answer: V - 14 June

Step-by-Step Explanation:

We are given ten engineers: P, Q, R, S, T, U, V, W, X, and Y. They give technical presentations across five months (March, April, May, June, and July) on two dates per month: 14th (even date) and 27th (odd date). This gives a total of 10 sequential presentation slots:
1. March 14
2. March 27
3. April 14
4. April 27
5. May 14
6. May 27
7. June 14
8. June 27
9. July 14
10. July 27

Let's determine the schedule step-by-step using the given clues:

1. P presents on an even-numbered date of March:
March has dates 14th (even) and 27th (odd). Thus, P presents on March 14 (Slot 1).

2. Q presents immediately after P:
Since P presents on March 14, Q presents on March 27 (Slot 2).

3. As many persons present before Q as after X:
Only 1 person (P) presents before Q. Therefore, exactly 1 person must present after X. This places X in Slot 9, which is July 14.

4. Y presents on an odd date of July immediately after X:
Since X is on July 14, Y presents immediately after X on July 27 (Slot 10).

5. Only four persons present between P and T:
P is in Slot 1. Counting 4 slots after P (Slots 2, 3, 4, and 5), T must be in Slot 6, which is May 27.

6. S presents immediately before T:
Since T is on May 27 (Slot 6), S presents on May 14 (Slot 5).

7. Only two persons present between T and W:
T is in Slot 6. Counting two slots before T (Slots 5 and 4), W must be in Slot 3, which is April 14.

8. R presents in April on an odd date:
April has dates 14th and 27th. Since April 14 is occupied by W, R presents on April 27 (Slot 4).

9. V presents in a month having 30 days on an even date:
Months with 30 days are April and June. April dates are already occupied. In June, the even-numbered date is 14th. Therefore, V presents on June 14 (Slot 7).

10. U presents immediately after V:
Since V presents on June 14 (Slot 7), U presents on June 27 (Slot 8).

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

Evaluating the Options:
- V - 14 June: Correct (V presents on June 14).
- S - 27 May: Incorrect (S presents on May 14).
- W - 27 April: Incorrect (W presents on April 14).
- X - 27 July: Incorrect (X presents on July 14).

Hence, the correct combination is V - 14 June.