Question Details

Given below are two statements and two conclusions. Take the statements to be true even if they are at variance with commonly known facts, and decide whether the conclusion(s) follow(s) the given statements.


Statements:

All trains are buses.

Some buses are cars.


Conclusions:

I. All cars are buses.

II. Some buses are trains.

Options

A

Neither conclusion I nor II follows

B

Only conclusion II follows

C

Both the conclusions follow

D

Only conclusion I follows

Show Answer

Correct Answer :

Option B

Only conclusion II follows

Solution :

To determine which conclusion(s) follow from the given statements, we can analyze them step-by-step using Venn diagrams or logical deduction.


Step 1: Analyze Statement 1 ("All trains are buses")
This statement means that the class of 'trains' is completely contained within the class of 'buses'. If we draw a circle representing 'trains', it must lie entirely inside the circle representing 'buses'.


Step 2: Analyze Statement 2 ("Some buses are cars")
This statement means that there is an intersection between the circle representing 'buses' and the circle representing 'cars'. However, we do not have any definite information about the relationship between 'cars' and 'trains'; they may or may not overlap.


Step 3: Evaluate Conclusion I ("All cars are buses")
From Statement 2, we only know that some buses are cars, which means some cars are buses. We cannot conclude that all cars are buses. Therefore, Conclusion I does not follow.


Step 4: Evaluate Conclusion II ("Some buses are trains")
From Statement 1, we know that all trains are buses. Since there is at least one train (assuming non-empty sets) and all trains are inside the bus category, it is guaranteed that the portion of buses that contain trains makes "some buses are trains" definitely true. Therefore, Conclusion II follows.


Thus, only conclusion II follows.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Mock Tests

View All
  • SSC
  • intermediate
  • 1 hour
  • english, general awareness, general intelligence and reasoning, logical reasoning, quant

  • SSC
  • intermediate
  • 1 hour
  • english, general awareness, general intelligence and reasoning, logical reasoning, quant

Ask AI Tutor
5 left
Q1 View Question & Options
AI Tutor is solving this question...
Reading question context & options...