In each question below are two or three statements followed by two conclusions numbered I and II. You have to take the two given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Give answer a:if only conclusion I follows.
Give answer b: if only conclusion II follows.
Give answer c: if either conclusion I or II follows.
Give answer d: if neither conclusion I or II follows.
Give answer e: if both conclusions I and II follow
Statements :
Some prizes are winners.
All winners are students.
Conclusions :
I. At least some winners are prizes.
II. At least some students are winners.
In these questions relationship between different elements is shown in the statements.
The statements are followed by two conclusions.
Give answer a:if only Conclusion I is true.
Give answer b: if only Conclusion II is true.
Give answer c: if only Conclusion I or II is true.
Give answer d: if neither Conclusion I not II is true.
Give answer e: if both Conclusions I and II are true.
In the following questions, the symbols δ,
#, @ and * are used with the following meaning as illustrated below :
`P # Q' means `P is neither greater than nor smaller than Q'.
'P δ 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 not greater than Q'.
P % Q' means `P is neither greater than nor equal to Q'.
Now in each of the following questions assuming the given statements to be true, find which of the three conclusions I, II and III given below them is/are definitely true and give your answer accordingly.
