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Logical Reasoning · Micro-test

Statement and Conclusion

A conclusion follows only if it must be true whenever the statement is true. Likely, reasonable and probably true are all different from 'follows', and that gap is what these questions test.

10 questions · 5 minutes · instant scoring

What this topic actually tests

Read the statement as the only thing you know. A conclusion follows if there is no way for the statement to be true and the conclusion false. The quickest test is to try to imagine such a case: if you can, the conclusion does not follow. Conditional statements carry most of the weight. 'Only those who submit the form may go' makes the form necessary for going, so anyone who went had submitted it; it does not make the form sufficient, so someone who submitted it may still not have gone. 'No candidate below 40 per cent is called' means everyone who is called scored 40 or more, and says nothing about whether those who scored 40 or more were called. 'Unless X, not Y' means Y happened only if X did. Quantity words are the second thing to watch. 'Some' supports 'not none' and, where the statement speaks of some doing otherwise, 'not all'. 'Most' means more than half and supports 'some' but never 'all'. Survey statements support conclusions about the people surveyed and the condition they were asked about, not about everyone or about what will in fact happen. Finally, a statement that two things happened one after the other does not say that the first caused the second.

The common trap on this topic

The commonest error is accepting a conclusion because it is sensible. That the rain pushed up onion prices is entirely plausible, and it still does not follow from a statement that says only that prices rose in the week after the rain. The second error is reversing a condition: treating 'only members may vote' as 'all members voted'. The third is stretching a quantity: moving from 'most' to 'all', from 'those surveyed' to 'the city', or from 'said they would' to 'will'. Conclusions that add a prediction, a cause or a recommendation the statement does not contain should be treated with suspicion.

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Q1.

Statement: Only students who have submitted the consent form are allowed on the field trip. Rhea was allowed on the field trip. Conclusions: I. Rhea submitted the consent form. II. Every student who submitted the consent form went on the field trip.

Q2.

Statement: In a survey of 2,000 commuters in a city, 70 per cent said they would shift from cars to the metro if a station were within one kilometre of their home. Conclusions: I. Most commuters in the city will shift to the metro. II. For a majority of the commuters surveyed, distance from a station matters to the choice of transport.

Q3.

Statement: The museum is closed on Mondays and on public holidays. Conclusions: I. The museum is open on every Tuesday that is not a public holiday. II. If today is a public holiday, the museum is closed today.

Q4.

Statement: All trains on the coastal route were cancelled on Monday because of a cyclone warning. Conclusions: I. No train ran on the coastal route on Monday. II. Trains on other routes were not cancelled on Monday.

Q5.

Statement: Sales of the company's electric scooters doubled this year, yet its overall profit fell. Conclusions: I. The company sold more electric scooters this year than it did last year. II. The company makes a loss on its electric scooters.

Q6.

Statement: Some of the judges on the bench dissented from the majority opinion. Conclusions: I. Not all the judges on the bench agreed with the majority opinion. II. Most of the judges on the bench dissented.

Q7.

Statement: Every member of the debating society has paid the annual fee, and Kabir is a member of the debating society. Conclusions: I. Kabir has paid the annual fee. II. At least one person has paid the annual fee.

Q8.

Statement: The price of onions rose sharply in the week after the heavy rains. Conclusions: I. The heavy rains caused the rise in onion prices. II. Onion prices will fall next week.

Q9.

Statement: Unless a tenant gives one month's written notice, the security deposit is not refunded. Dev's security deposit was refunded. Conclusions: I. Dev gave one month's written notice. II. Every tenant who gives one month's written notice gets the deposit back.

Q10.

Statement: Most of the saplings planted along the highway last year did not survive the summer. Conclusions: I. Fewer than half of the saplings planted along the highway last year survived the summer. II. The saplings were not watered during the summer.

Statement and Conclusion: answers and explanations

  1. Statement: Only students who have submitted the consent form are allowed on the field trip. Rhea was allowed on the field trip. Conclusions: I. Rhea submitted the consent form. II. Every student who submitted the consent form went on the field trip.

    Answer: D. Only conclusion I follows

    The form is a necessary condition for going, so Rhea, who went, must have submitted it: I follows. The statement does not say the form is enough to go, or that everyone who was allowed went, so II does not follow.

  2. Statement: In a survey of 2,000 commuters in a city, 70 per cent said they would shift from cars to the metro if a station were within one kilometre of their home. Conclusions: I. Most commuters in the city will shift to the metro. II. For a majority of the commuters surveyed, distance from a station matters to the choice of transport.

    Answer: C. Only conclusion II follows

    I moves from those surveyed to the whole city, drops the condition about a nearby station, and turns 'said they would' into 'will'; it does not follow. II stays with the people surveyed and the condition they were asked about, so it follows.

  3. Statement: The museum is closed on Mondays and on public holidays. Conclusions: I. The museum is open on every Tuesday that is not a public holiday. II. If today is a public holiday, the museum is closed today.

    Answer: D. Only conclusion II follows

    II restates part of the statement and must be true. I does not follow: the statement lists two occasions on which the museum is closed, and does not say these are the only ones.

  4. Statement: All trains on the coastal route were cancelled on Monday because of a cyclone warning. Conclusions: I. No train ran on the coastal route on Monday. II. Trains on other routes were not cancelled on Monday.

    Answer: B. Only conclusion I follows

    If all trains on the route were cancelled, none ran on it: I follows. The statement is silent on other routes, so II does not follow; they may or may not have been affected.

  5. Statement: Sales of the company's electric scooters doubled this year, yet its overall profit fell. Conclusions: I. The company sold more electric scooters this year than it did last year. II. The company makes a loss on its electric scooters.

    Answer: D. Only conclusion I follows

    Sales that doubled are higher than before, so I follows. Overall profit can fall for many reasons, such as losses in another product or higher costs elsewhere, so II is one possible explanation and does not follow.

  6. Statement: Some of the judges on the bench dissented from the majority opinion. Conclusions: I. Not all the judges on the bench agreed with the majority opinion. II. Most of the judges on the bench dissented.

    Answer: D. Only conclusion I follows

    If some dissented, it cannot be that all agreed: I follows. II cannot be true at all, since a majority opinion is by definition the view of more than half, so the dissenters were fewer than half.

  7. Statement: Every member of the debating society has paid the annual fee, and Kabir is a member of the debating society. Conclusions: I. Kabir has paid the annual fee. II. At least one person has paid the annual fee.

    Answer: A. Both I and II follow

    Kabir is a member and every member has paid, so I follows. Since Kabir has paid, at least one person has paid, so II follows as well.

  8. Statement: The price of onions rose sharply in the week after the heavy rains. Conclusions: I. The heavy rains caused the rise in onion prices. II. Onion prices will fall next week.

    Answer: D. Neither I nor II follows

    The statement gives a sequence of events, not a cause, so I does not follow however plausible it is. II is a prediction the statement gives no basis for. Neither follows.

  9. Statement: Unless a tenant gives one month's written notice, the security deposit is not refunded. Dev's security deposit was refunded. Conclusions: I. Dev gave one month's written notice. II. Every tenant who gives one month's written notice gets the deposit back.

    Answer: C. Only conclusion I follows

    Without notice there is no refund, so a refund means notice was given: I follows. Notice is necessary for a refund but the statement does not say it is sufficient; a deposit could be withheld for damage, so II does not follow.

  10. Statement: Most of the saplings planted along the highway last year did not survive the summer. Conclusions: I. Fewer than half of the saplings planted along the highway last year survived the summer. II. The saplings were not watered during the summer.

    Answer: C. Only conclusion I follows

    'Most did not survive' means more than half died, so fewer than half survived: I follows. The statement says nothing about why they died, so II does not follow.

FAQ

What is the difference between a conclusion and an assumption?

An assumption is something the author must take for granted for the statement to make sense; it comes before the statement. A conclusion is something that must be true if the statement is true; it comes after.

Can I use general knowledge to decide whether a conclusion follows?

No. Treat the statement as the whole of what you know. A conclusion that is true in the real world but is not guaranteed by the statement does not follow.

How do I handle 'only' and 'unless' in the statement?

'Only A are B' means every B is an A. 'Unless A, not B' means B happens only if A does. In both cases, knowing that B is true lets you conclude A; knowing A is true lets you conclude nothing about B.

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