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Given series: Left side H N T K Q S C F D E A W G I X H U J B M Right side

The letter exactly between J and K is A.

 Left side H N T K Q S C F D E A W G I X H U J B M Right side

The letter third to the right of A is I.

Given series: Left side H N T K Q S C F D E A W G I X H U J B M Right side

The seventh letter from the right side is I.

Left side H N T K Q S C F D E A W G I X H U J B M Right side

The fourth letter to the left of I is E.

Thus, the fourth letter to the left of the seventh letter from the right side will be E.

Given series: Left side H N T K Q S C F D E A W G I X H U J B M Right side

Vowels that are immediately preceded by a consonant are:

H N T K Q S C F D E A W G I X H U J B M

Hence, three vowels are immediately preceded by a consonant i.e D E, G I, H U.

Given series: Left side H N T K Q S C F D E A W G I X H U J B M Right side

The eighth letter from the left side is F.

Left side H N T K Q S C F D E A W G I X H U J B M Right side

The fifth letter to the right of F is G.

Thus, the fifth to the right of the eighth letter from the left side will be G.

Let’s check each option

L + 4 = P; P + 5 = U

P + 4 = T; T + 5 = Y

A + 3 = D; D + 8 = L

N + 4 = R; R + 5 = W

Hence, ADL is the correct answer.

Person: K, L, M, N, O, P, Q, and R.

Month: January, April, June, and August

Dates: 8^th & 15^th 

1. K delivers his lecture on the 8^th of a month which has only 30 days.

2. Only three lectures were delivered between K and L.

3. O delivers the lecture immediately after L.

(Here 2 cases are possible, Case1: K delivers his lecture on the 8^th of April, Case2: K delivers his lecture on the 8^th of June.

Case 1:

 

 

 

 

 

 

 

 

 

 

Case 2:

 

 

 

 

 

 

 

 

 

 

4) Number of persons who give the lecture after O is the same as the number of persons who give the lecture before P.

5. Only two persons give lectures between P and M.

Case 1:

 

 

 

 

 

 

 

 

 

 

Case 2:

6. Q and M give their lectures in the same month.

(From here Case 1 is eliminated because no vacant position for Q as according to statement 6 Q and M give their lecture in the same month)

 

 

 

 

 

 

 

 

 

 

7. N gives the lecture before R.

The final arrangement will be as follows:

Hence, P gives the lecture on 8^th August.

Person: K, L, M, N, O, P, Q, and R.

Month: January, April, June, and August

Dates: 8^th & 15^th 

1. K delivers his lecture on the 8^th of a month which has only 30 days.

2. Only three lectures were delivered between K and L.

3. O delivers the lecture immediately after L.

(Here 2 cases are possible, Case1: K delivers his lecture on the 8^th of April, Case2: K delivers his lecture on the 8^th of June.

Case 1:

 

 

 

 

 

 

 

 

 

 

Case 2:

 

 

 

 

 

 

 

 

 

 

4) Number of persons who give the lecture after O is the same as the number of persons who give the lecture before P.

5. Only two persons give lectures between P and M.

Case 1:

 

 

 

 

 

 

 

 

 

 

Case 2:

6. Q and M give their lectures in the same month.

(From here Case 1 is eliminated because no vacant position for Q as according to statement 6 Q and M give their lecture in the same month)

 

 

 

 

 

 

 

 

 

 

7. N gives the lecture before R.

The final arrangement will be as follows:

Hence, 5 lectures were delivered after Q.

Person: K, L, M, N, O, P, Q, and R.

Month: January, April, June, and August

Dates: 8^th & 15^th 

1. K delivers his lecture on the 8^th of a month which has only 30 days.

2. Only three lectures were delivered between K and L.

3. O delivers the lecture immediately after L.

(Here 2 cases are possible, Case1: K delivers his lecture on the 8^th of April, Case2: K delivers his lecture on the 8^th of June.

Case 1:

 

 

 

 

 

 

 

 

 

 

Case 2:

 

 

 

 

 

 

 

 

 

 

4) Number of persons who give the lecture after O is the same as the number of persons who give the lecture before P.

5. Only two persons give lectures between P and M.

Case 1:

 

 

 

 

 

 

 

 

 

 

Case 2:

6. Q and M give their lectures in the same month.

(From here Case 1 is eliminated because no vacant position for Q as according to statement 6 Q and M give their lecture in the same month)

 

 

 

 

 

 

 

 

 

 

7. N gives the lecture before R.

The final arrangement will be as follows:

Hence, L doesn’t deliver the lecture in the month having 30 days.

Person: K, L, M, N, O, P, Q, and R.

Month: January, April, June, and August

Dates: 8^th & 15^th 

1. K delivers his lecture on the 8^th of a month which has only 30 days.

2. Only three lectures were delivered between K and L.

3. O delivers the lecture immediately after L.

(Here 2 cases are possible, Case1: K delivers his lecture on the 8^th of April, Case2: K delivers his lecture on the 8^th of June.

Case 1:

 

 

 

 

 

 

 

 

 

 

Case 2:

 

 

 

 

 

 

 

 

 

 

4) Number of persons who give the lecture after O is the same as the number of persons who give the lecture before P.

5. Only two persons give lectures between P and M.

Case 1:

 

 

 

 

 

 

 

 

 

 

Case 2:

6. Q and M give their lectures in the same month.

(From here Case 1 is eliminated because no vacant position for Q as according to statement 6 Q and M give their lecture in the same month)

 

 

 

 

 

 

 

 

 

 

7. N gives the lecture before R.

The final arrangement will be as follows:

Hence, P delivers the lecture immediately before R.

Person: K, L, M, N, O, P, Q, and R.

Month: January, April, June, and August

Dates: 8^th & 15^th 

1. K delivers his lecture on the 8^th of a month which has only 30 days.

2. Only three lectures were delivered between K and L.

3. O delivers the lecture immediately after L.

(Here 2 cases are possible, Case1: K delivers his lecture on the 8^th of April, Case2: K delivers his lecture on the 8^th of June.

Case 1:

 

 

 

 

 

 

 

 

 

 

Case 2:

 

 

 

 

 

 

 

 

 

 

4) Number of persons who give the lecture after O is the same as the number of persons who give the lecture before P.

5. Only two persons give lectures between P and M.

Case 1:

 

 

 

 

 

 

 

 

 

 

Case 2:

6. Q and M give their lectures in the same month.

(From here Case 1 is eliminated because no vacant position for Q as according to statement 6 Q and M give their lecture in the same month)

 

 

 

 

 

 

 

 

 

 

7. N gives the lecture before R.

The final arrangement will be as follows:

Hence, M gives the lecture on 15^th April.