Direction: In these questions, relation between different elements is shown in the statements. The statements are followed by two conclusions. Study the conclusions based on the given statement and select the appropriate answer. 

Statement: M ≤ K > L = Y; P ≤ T >M
Conclusions:
I. P> Y
II. T< L 

Read the given statement and conclusions carefully and decide which conclusion follows.
Statement:
Sound cannot transmit in vacuum.
Conclusion:
I. We Cannot hear the sound of explosion in vacuum.
II. We cannot hear the sound of explosions in the atmosphere.

Two statements are followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they do not conform to real-word knowledge, decide which of the conclusion(s) logically follows from the statements.

Statements:

All ponds are pools

Some wells are ponds.

Conclusions;

I. Some ponds are not wells.

II. Some wells are pools

III. All pools are wells.

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

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

Direction: In these questions the symbols $ , @ , £ , • and # are used with different meanings as given below :
' X $ Y ' means X is neither greater than nor smaller than Y '
 ' X @ Y ' means X is neither greater than nor equal to Y '
 ' X £ Y ' means X is neither smaller than nor equal to Y '
 ' X• Y ' means X is not smaller than Y '
' X # Y ' means X is not greater than Y '
( A ) If only conclusion I is true
( B ) If only conclusion II is true
( C ) If either conclusion I or II is true
(D ) If neither conclusion I nor II is true
( E ) If both conclusion I and II are true    

Statements: Z£N, N # K, K $ M, M@R 

A statement followed by some conclusions is given below. Find which of the given conclusions logically follow from the given statement.
Statement: Majority of the girls in the class are intelligent.
Conclusions:
I. There are no boys in the class.
II. Some of the girls in the class are not so intelligent.

Directions : In each of the questions below are given four statements followed by three conclusions numbered I, II, and III. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:
1. Some cats are dogs.
2. Some tree are dogs.
Conclusions:
(I) Some dogs are cats.
(II) Some cats are trees.