Shortcut to solve syllogism by rules
Day 5: All the cases of possibility and Condition of Complementary Pair (EITHER-OR)
We have already discussed the main concept of Possibility i.e The case of NO CONCLUSION. Now we will some more cases where Possibility will be true. We have presented the proposition with all possible outcomes. Learn them.
Before starting learn this as a RULE OF THUMB:
1) Restatement Follows
2) Possibility of Restatement or Definite Conclusion Doesn’t Follows
Example: Statement: Some A are B
Conclusion: Some A are B(Follows)
Some A are B is a possibility(Doesn’t Follows)
Statement: All A are B | Conclusions |
Some B are A | |
Some A are B | |
All B being A is a possibility | |
Some B are not A is a possibility |
Statement: Some A are B | Conclusions |
Some B are A | |
All B being A is a possibility | |
All A being B is a possibility | |
Some A are not B is a possibility | |
Some B are not A is a possibility |
Statement: No A are B | Conclusions |
No B is A | |
Some A are not B | |
Some B are not A |
Statement: Some A are Not B | Conclusions |
All B being A is a possibility (Very Important) | |
No A is B is a possibility | |
No B is A is a possibility | |
Some B are not A is a possibility | |
Some A are B is a possibility | |
Some B are A is a possibility |
Case of Complementary Pair (EITHER-OR)
There are only three conditions for two propositions to be Complementary pair. But remember for two propositions to be complementary pair, both of them must be False.
Case | Example | |
Condition 1 | Some + Some Not | Some A are B + Some A are not B OR Some B are A + Some A are not B |
Condition 2 | Some + No | Some A is B + No A is B OR Some B is A + No A is B |
Condition 3 | All + Some Not | All A is B + Some A are not B
Note: All A is B + Some B are not A (is not complementary pair)[Very Important] |
Questions for Practise
- Statement: All radios are pencils
Some pencils are files
Conclusion: I. No radio is file
II. Some files are radio
A) Only I follows
B) Only II follows
C) Either I or II follows
D) Neither I nor II follows
E) Both I and II follows
- Statements: Some diggers are jokers
All jokers are cute.
Conclusion: Some diggers are cute.
II. No diggers are cure.
III. Some diggers are not cute
IV. All diggers are cute.
A) I and III follows
B) Either II or IV follows
C) II and either III or IV follows
D) Either III or IV and I follows
E) Either I or II and either III and IV follows
- Statements: All cones are cylinders. Some cones are squares. No square is a rectangle.
Conclusions:
I. Atleast some cones being rectangle is a possibility.
II. Some cylinders are cones.
A) only I follows
B) only II follows
C) either I or II follows
D) neither I nor II follow
E) both I and II follow
This is the end of our main course. On the last day i.e tomorrow we will discuss two exceptional case of syllogism and certain controversy and practice a lot of questions including the new pattern reverse syllogism. Revise all the content of these 5 days and be in regular touch with Syllogism by rules. Once you get habituated, you can solve any difficult question easily that too in less time.
Topic for Day 6: Exceptional case of syllogism and certain controversy.
If you have any controversial doubt related to syllogism, comment it below, we will include that too in our post tomorrow.
Ask your doubt in comment section.
Thank You!!!!!
10x team????
more examples deyna sir
yes.. you can join us at 10 PM on our discussion page,, we will discuss more questions…
sir restatement follow krta h but restatement with possibility word follow ni krta, ryt?
yes right…
All A are B will be true…
Some B are A is the reverse of All A is B.. means Some B are A is true..(definite conclusion)
Possibility of Restatement or Definite Conclusion Doesn’t Follows
means Some B is A ki possibility false hogi
SIR Case of Complementary Pair (EITHER-OR)
NHI AYA SAMAJH
jo table diya hai, usme ye samjhay hai ki kis kis case me complementary pair bante hi…
now suppose a questions i sthere
Statement: Some A is B . Some B is C
Conclusion: I. ALL A is C
II. Some A is Not C
Now iska answer hoga,, either I or II.
pehli condition either or ki ye hai ki dono statement jinko eother or k liye check krna hai, wo False hone chahye, isme I. and II. dono false hai..
second condition is ki, wo table. Agar the entity same hai, i.e A A and CC dono sentence me,, aur us table k according, yato
Some A is C , SOme A is not C
SOme A is C + No A is C
All A is C + SOme A is not C
in teeno me se koi bhi ek format ho conclusion ka to wo either or ka case banega..
is question me 3rd wala case hai.. so either or
x² – 30(POWER 5/2)/√x = 0
x^2 = [30^(5/2)]/x^(1/2)
=> x^(2+1/2)=30^(5/2)
x^(3/2)=30^(5/2)
x^3=30^5
iske aage solve nhi hoga,, ho sakta hai kisi power k value wrong ho,, yato 5/2 ki jagah 3/2 hota, ya root x ki jagah x^3/2 to answer aata sedha sedha
SOL YEH diya hai see
x² – 30(pwr5/2)/√x = 0
x(5/2) = 30(5/2)
x = 30
() wala power hai
wrong diya hai ye to.. kyunki x k sath power 5/2 nhi 3/2 hi ayega.. 2+1/2(for root)
ji and next dekhna sir
ok kar diya dono
360/y = 360/(y +5) + 1
see image… https://uploads.disquscdn.com/images/22900991a8384bd29b9163d378a21f3d250113578575ea8daf6ba593ba710d68.jpg
480/x = [480/(x – 8)] – 3
see image
https://uploads.disquscdn.com/images/586af04dda74185c72fc635a6e539a7d44be3c10601185c89853834804758f7c.jpg
Sir AGR diya ho some A is C and no C is A tb kya either or hoga?
sir some a are b then conclusion some a are not b is a possibility kaise sahi hoga?
yes it is true,, doubt kaha hai?? means kyu true nhi ho sakta???
sir thoda details me smjha dijie ispe
some a are not b is doubtful because it can’t be concluded from the statement definitely. And the possibility of doubtful case is always correct.
@surajskt:disqus sir
possibility me either-or follow krega?
no, possibility me either-or follow nhi karega
good question
Suraj could you please explain the below query using the method explained in your site…
Statements:
No key is door, All door are lock, Some window are key, Some door are window
Conclusions:
I. All window being door is a possibility
II. All lock being key is a possibility
III. No key is lock.
IV. All lock are door
1.Only I doesn’tfollows
2.Only I and III follow
3.Only I, III and IV doesn’t follow
4.Only I, II and III doesn’t follow
5.None follows
What is the answer?
I. Some Window are key + no key is door =>Some + No= Some Not=> Some window are not door (Hence all window being door is not possible). I false*
II. No key is door, All door are lock, => No + All= Some not reversed => Some lock are not key (hence II is false)
III. Same are II.
IV. All door are lock=> Some lock are door=> IV. Is false
Note*= For relation I. i.e between window and door; we can get relation between door and window using (Some Window are key + no key is door) together while using Some door are window alone. So in such case we must get the relation true in both cases. But here the relation is false by the (Some Window are key + no key is door) together. So it is false
Thanx buddy..?
Thanx ma’am, one doubt when it is given Some A is not B what are the possibilities and conclusion? And if it is given a) Some A is B b) No B is C c) Some C is D , what can be the conclusion and possibilities?
sir please share some questions on reverse syllogism
Sir in dono ka ans n explanation bata dijiye plz
https://uploads.disquscdn.com/images/60b https://uploads.disquscdn.com/images/6370a7507a14fca2d5f7404f38d23b563f946d6e805d40a11b274f26ee0400a9.jpg 66c6198c554ed06012d4d16ae305874b56b0b631df2ca425f1c0d5a84fb0f.jpg
https://uploads.disquscdn.com/images/3228e68a99fb0c2d027b1c1271be96c15d0ea6e89eda5c682114ef2a445dfb68.jpg
Sir mere qsns ka ans nh diya apne??
https://uploads.disquscdn.com/images/dab978423736881d1c9df4ae95a677850536602378f8d6cd9cc12347682bf086.jpg
plz explianl how these conclusions are valid in possibility
When you follow the rule method this one is easy and valid conversion too
Some baskets are caskets.
Some caskets are trunks.
All trunks are fans.
All sweets are fans.
Conclusions:
I. At least some baskets are trunks is a possibility.
II. At least some fans are caskets is a possibility.
III. All fans are baskets is a possibility.
IV. At least some sweets are not caskets is a possibility.
Does second conclusion follows ??
Yes. II will follow
As said Atleast some fans are caskets is a possibility. Means You have to take FANS as first element so do reverse of statement 3 …you will get All fans are trunks now look at sentence 2 .. trunks is at last so reversal of this statement will also require. make it Some Trunks are caskets Now you have :
All fans are trunks Some Trunks are caskets All + some = No conclusion means Any possibilty is true 🙂
Can we convert a all statement like that .. not we cannot convert it like that
Sir , if we combine
Some caskets are trunks.
All trunks are fans.
We get some casket are fans , then we know for sure some fans are casket , then how come some fans are casket is a possibility follows .
@surajskt:disqus sir,
Some baskets are caskets.
Some caskets are trunks.
All trunks are fans.
All sweets are fans.
Conclusions:
I. At least some baskets are trunks is a possibility.
II. At least some fans are caskets is a possibility.
III. All fans are baskets is a possibility.
IV. At least some sweets are not caskets is a possibility.
Sir , if we combine
Some caskets are trunks.
All trunks are fans.
We get some casket are fans , then we know for sure some fans are casket , then how come some fans are casket is a possibility follows
1 , 3 and 4 follows
2 won’t follows
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