From statement I, 

we have given weather is bright, humid and hot. 

So, we can not conclude that it is afternoon in Delhi 

From statement II,

Because we know time that 13 hours ago it was midnight so obviously it is afternoon in Delhi. 

So, data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.

From statement II:

T  →  K

↓

D

K is to the North-East of D.

From statement I,

So, P is in the south-west of Q, Therefore statement I alone is sufficient to answer the question.

From statement II,

So, P is in the south-west of Q, Therefore statement II alone is sufficient to answer the question.

Hence, data in Statement I alone or in Statement II alone are sufficient to answer the question.

From statement I, 

Samir, who is 9th from the top in the class is above Shailendra by 12 ranks who is below Shekhar by 5 ranks.

So, shekhar is 15th from the top.

From statement II,

Nilesh, who is between Shekhar and Sudhanshu, is 15th from the bottom.

we can not say the position of Shekhar.

Hence, data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.

From statement I,

B runs faster than E but is not the fastest. so, this statement is not sufficient to answer the question.

From statement II,

C, though does not run as fast as A and B, runs faster than D and E.

So, this statement is also not sufficient to answer the question.

Hence, data in both the Statements I and  II are not sufficient to answer the question.

Obviously from statement II we can not say that the child is holding yellow rose because in statement II, given only that a child is carrying rose only. So we can not say by certainty that the child is holding yellow rose. Because rose can be of red or yellow. So data in statement II alone are not sufficient to answer the question.

Now from statement I, it is given that when the thorn of the flower pricked his finger, the color of the blood matched that of the flower. That means we can exactly say that flower is red because blood is of red color. So, statement I alone is sufficient to answer the question. Hence, data in Statement I alone are sufficient to answer the question.

From statement I,

So, statement I alone is not sufficient to answer the question.

From statement II,

So, statement II alone also is not sufficient to answer the question.

Now, from both the statement we can code the word TAIL as 6843.

Hence, data in both the Statements I and II together are necessary to answer the question.

From statement I,

In the class, Nisha ranks tenth from the top and twenty-third from the bottom.

So, total number of students in the class=(10+23)-1=32

From statement II,

Nandita is ten ranks above Sharma who is eighteenth from the top.

So, we can not find the total number of students in the class. e

Hence, data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.

From statement I:

R > only P

From statement II:

Q > S > (R and T)

From both the statements :

Q > S > T > R > P

Hence, data in both the Statements I and II together are necessary to answer the question.

From both the statements we have,

D is the daughter of E.