Logical Reasoning - Logical Problems - Discussion
Discussion Forum : Logical Problems - Type 2 (Q.No. 11)
Directions to Solve
Each problem consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain.
11.
All spotted Gangles have long tails.
Short-haired Gangles always have short tails.
Long-tailed Gangles never have short hair.
If the first two statements are true, the third statement is
Short-haired Gangles always have short tails.
Long-tailed Gangles never have short hair.
If the first two statements are true, the third statement is
Answer: Option
Explanation:
We know only that long-tailed Gangles have spots. We cannot know for certain if long-tailed Gangles also have short hair.
Discussion:
20 comments Page 1 of 2.
Jieling said:
1 decade ago
Okay, statements said:.
Short-hair = short tail;.
Spotted = long tails; (which can be disregard in this case).
We make the assumption that.
Long tails NEVER = short tail.
The statements become.
Short-hair = short tail;.
Long tails NEVER = short tail.
Since long tail and short tail cannot coexist, therefore long tail cannot = short-hair.
Short-hair = short tail;.
Spotted = long tails; (which can be disregard in this case).
We make the assumption that.
Long tails NEVER = short tail.
The statements become.
Short-hair = short tail;.
Long tails NEVER = short tail.
Since long tail and short tail cannot coexist, therefore long tail cannot = short-hair.
Soumya said:
1 decade ago
Actually the statement is uncertain, because at any point it doesn't mention that all short hair Gangles, because the Gangles may be spotted or may be not. So we couldn't surely say that every type of short haired Gangles will have short tails. So it is possible that long tail Gangles can also have short hair or may be not.
Sanu said:
4 months ago
Option A is correct.
Since p->q is logically equivalent to -q->-p and since p->q is true then -q->-p must also be true.
Now,
if p: short-hair
q: short-tail.
then, -q: long-tail
-p: long-hair
which means if a gangle has long-tail, then it must have long-hair.
Since p->q is logically equivalent to -q->-p and since p->q is true then -q->-p must also be true.
Now,
if p: short-hair
q: short-tail.
then, -q: long-tail
-p: long-hair
which means if a gangle has long-tail, then it must have long-hair.
Akshay said:
1 decade ago
Third statement is 'true'. option is correct.
because from first statement it is clear that spotted gangles doesn't have short tails.
from second statement , short haired gangles always have short tails-means no long tails.
So, short hair gangles do NOT have long tails.
Answer:A
because from first statement it is clear that spotted gangles doesn't have short tails.
from second statement , short haired gangles always have short tails-means no long tails.
So, short hair gangles do NOT have long tails.
Answer:A
Sourav said:
1 decade ago
Answer should be A i.e. true
because in second statement its clearly mentioned that "Short-haired Gangles always have short tails" that means any long tail gangles never have short hair. if the gangles have short haired then it always would have short tail.
because in second statement its clearly mentioned that "Short-haired Gangles always have short tails" that means any long tail gangles never have short hair. if the gangles have short haired then it always would have short tail.
Raghava said:
8 years ago
WKT shortTail-> Not LongTail (1)
given, spotted->LongTail (2)
& shortHair ->shortTail (3)
By syllogism (1),(3)
shortHair->Not LongTail.
by Modus Tollens.
LongTail->not shortHair.
given, spotted->LongTail (2)
& shortHair ->shortTail (3)
By syllogism (1),(3)
shortHair->Not LongTail.
by Modus Tollens.
LongTail->not shortHair.
Teja said:
9 years ago
A is correct because:
Short hair = Short tail
Spotted = Long tail
Short hair + Spotted cannot exist because Short tail + Long tail cannot exist.
So, Long-tailed cannot be Short haired.
Short hair = Short tail
Spotted = Long tail
Short hair + Spotted cannot exist because Short tail + Long tail cannot exist.
So, Long-tailed cannot be Short haired.
(2)
Pooja Midha said:
1 decade ago
Answer is A true.
When it is said that short hair will have short tails means long tail will never have short hair answer is A.
When it is said that short hair will have short tails means long tail will never have short hair answer is A.
Pranab said:
1 decade ago
If short haired gangles always have short tails, short haired gangles can never have long tails (sent 3). How come A is false?
Kartik said:
1 decade ago
Absolutely, the answer is A i.e. true. And not uncertain as suggested.
Gangles with short hair can never have long tails.
Gangles with short hair can never have long tails.
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