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.

How many engineers deliver their technical presentations between W and U?

The correct answer is Four.

Step-by-step explanation:

Let's determine the order of technical presentations for the 10 engineers across the 5 months on two dates (14th and 27th):

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

Applying the given conditions step-by-step:

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

2. Q presents immediately after P:
Q presents on March 27th (Slot 2).

3. As many persons present before Q as after X:
Only 1 person (P) presents before Q. Thus, only 1 person must present after X. Hence, X presents on July 14th (Slot 9).

4. Y presents on an odd date of July immediately after X:
Y presents on July 27th (Slot 10).

5. Only four persons present between P and T:
P is at Slot 1. Four persons (Slots 2, 3, 4, 5) present between P and T. Therefore, T presents on May 27th (Slot 6).

6. S presents immediately before T:
S presents on May 14th (Slot 5).

7. Only two persons present between T and W:
T is at Slot 6. Two persons present between T and W, so W must be at Slot 3 (since Slot 9 is occupied by X). Thus, W presents on April 14th (Slot 3).

8. R presents in April on an odd date:
April 27th is the odd date in April. Therefore, R presents on April 27th (Slot 4).

9. V presents in a month having 30 days on an even date:
June is a month with 30 days, and June 14th is an even date. Thus, V presents on June 14th (Slot 7).

10. U presents immediately after V:
U presents on June 27th (Slot 8).

Final Presentation Schedule:

• 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:
We need to find the number of engineers who deliver their presentations between W (April 14th) and U (June 27th).
The engineers presenting between W and U are R, S, T, and V.
Therefore, there are Four engineers presenting between W and U.