English and Logical Reasoning Prep Guide
- Exam
- English and Logical Reasoning Prep Guide
- Subject
- Logical Reasoning
- Chapter
- Logical Deduction
English and Logical Reasoning Prep Guide · Logical Reasoning · Logical Deduction
Directions: In each question three statements followed by two...
Directions: In each question three statements followed by two conclusions numbered I and II have been given. You have to take the given statement to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the given statements. Give answer.
Statements :
0% frocks are pants.
All shorts are frocks.
A few jackets are pants.
Conclusions :
I. Not a single pant is short.
II. A good number of jackets are not frocks.
Options
- AIf only conclusion I follows.
- BIf only conclusion II follows.
- CIf neither conclusion I nor II follows.
- DIf both conclusion I and II follows.
Correct answer
D. If both conclusion I and II follows.
Step-by-step solution
Statements:
0% frocks are pants.
All shorts are frocks.
A few jackets are pants.
Conclusions:
I. Not a single pant is short.
II. A good number of jackets are not frocks.
All shorts are frocks.
A few jackets are pants.
Conclusions:
I. Not a single pant is short.
II. A good number of jackets are not frocks.
Checking C1: Not a single pant is short.
Using S2 and S1,&
All shorts are frocks + '0% frocks are pants' or 'No frocks are pants' = No shorts are pants or No pants are shorts which is same as 'Not a single pant is short'. Hence, C1 follows.
Checking C2: A good number of jackets are not frocks.
A few jackets are pants + Converse of S1 (which is 'No pants are frocks) = 'A few jackets are not frocks' which is same as 'A good number of jackets are not frocks'. Hence, C2 follows as well.
Clearly, option D is the correct answer.