Verbal Reasoning - Syllogism - Discussion

Discussion Forum : Syllogism - Syllogism 1 (Q.No. 1)
Directions to Solve

In each of the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Give answer:

  • (A) If only (1) conclusion follows
  • (B) If only (2) conclusion follows
  • (C) If either (1) or (2) follows
  • (D) If neither (1) nor (2) follows and
  • (E) If both (1) and (2) follow.

1.

Statements: Some actors are singers. All the singers are dancers.

Conclusions:

  1. Some actors are dancers.
  2. No singer is actor.

Only (1) conclusion follows
Only (2) conclusion follows
Either (1) or (2) follows
Neither (1) nor (2) follows
Both (1) and (2) follow
Answer: Option
Explanation:
Discussion:
74 comments Page 3 of 8.

SHABEEN said:   1 decade ago
First know All=A, NO=E, SOME=I, O=SOME NOT, O* = O revers.

Let A+A=A.
A+E=E.
E+A=O*.
E+I=O*.
I+A=I.
I+E=O.
A+I=NC(no conclusion).
A+O=NC.
I+I=NC.

FOLLOW THIS METHOD A LITTLE BIT EASY TO SOLVE.

Roshan said:   9 years ago
In second diagram. All actors are dancer comes out. And in first some actors are dancers. If the statement is not satisfying both the diagrams, then how we can say one is correct?

Please explain.
(1)

Ravinder said:   1 decade ago
Venn diagram (Correctly Euler circles) shows all possibilities which do not violates any given premises. All actors are dancers do not violate any given premise. So it is shown in the diagrams.

AMRUTHA said:   1 decade ago
HAI DEEPTHI.............THIS IS AMRUTHA
CAN U EXPLAIN BELLOW WHICH IS WRITEN BY U

let ALL=A,SOME=E
formula
A+A=A
A+E=NO CONCLUSION
E+E=NO CONCLUSION
E+A=E
A-->E (A conversion is E)
E-->E

Suresh said:   1 decade ago
'Some actors are singers. All the singers are dancers'.

Then why in the 2nd venn diagram all actors are dancers. I understood the first venn diagram but not the second.

Please help.

Sindhu said:   1 decade ago
For question 2 in examples, I feel option (1) follows.

Some asses are not dogs is true right? since some asses are bulls (which implies they're not dogs). Please reply why not?

Huraira said:   8 years ago
@SUMAN

you repeated
B+A = Y.
B +B = no conclusion.
B+Z = Y.
B+Y= no conclusion.

B+A = Z.
B +B = Y.
B+Z = no conclusion.
B+Y= no conclusion.

Which combination is now correct?
(2)

Monal said:   1 decade ago
@Deepti

First of all I would like 2 thank you both for such wonderful trick.

But what should we do if the ststement contains NO.

Ex: No cats are dogs etc etc.

Anand said:   1 decade ago
Here first diagram is OK but (or) diagram implies that all the singers and actors are dancers if any body please explain it in detailed manner.

Samarjit said:   1 decade ago
Does the logical deduction step of conversion and implification is also applied here along with the venn diagram to get the conclusion?


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