Direction: In each of the following questions, two statements are given followed by two conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly /known facts. You have to decide which of the given conclusions, if any, follow from the given statements.

Statements: 

I. All children are students. 

II. All students are players. 

Conclusion 

I. All cricketers are students. 

II. All children are players. 

Statements: - 

All boys are tall.

Rajiv is a boy.

conclusion

I. Rajeev is tall.

II. Rajeev is not tall

Statement: 

All insects are dangerous. 

All machines are dangerous. 

Conclusion 

I. All dangerous are insects. 

II. All dangerous are machines. 

III. Some machines are insects. 

There is less percentage of passed students in the government schools. Above statement indicates that 

Direction: In the following questions, the symbol @ , $, *, # and δ are used with the following meaning as illustrated below:
‘P $ Q’ means ‘P’ is not smaller than Q’.
‘P @ Q’ means ‘P is neither smaller than nor equal to Q’.
‘P # Q’ means ‘P is neither greater than nor equal to Q’.
‘P δ Q’ means ‘P is neither greater than nor smaller than Q’.
‘P * Q’ means ‘P is not greater than Q’.
Now in each of the following questions assuming the given statements to be true, find which of the four conclusion I, II , III and IV given below them is/are definitely true and given your answer accordingly.
Statements:
H@T, T#F, FδE, E*V
Conclusions:
I. V$F
II. E@T
III. H@V
IV. T#V
(A) Only I, II and III are true
(B) Only I, II and IV are true
(C) Only II, III and IV are true
(D) Only I, III and IV are true
(E) All I, II, III and IV are true

In this question relationships between different elements are shown in the statements. These statements are followed by two conclusions.
Statements K≤L≤M=N                
                   P≥O≥N      
Conclusions. I. K<P        
                     II. K=P

In the following question, one or two statements are given, followed by two conclusions. You have to consider that the statement is true even if it seems to be different from commonly known facts. You have to decide which of the given statements can definitely lead to correct conclusions.

Statement:
1. All players are educated.
2. All educated people are decent.
Conclusion:
(i) All players are decent.
(ii) All decent people are players.

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:

I. Some X are M.

II. All W are X.

Conclusions:

I. Some M are not W.

II. No W is M.

III. Some M are not X.