cog arm-chair logic - sit back, relax and explore the art of logical thinking
logic testlogic test 2logic test 3GKQ - Knowledge testabout the bookslinks + bookshome
     
 

logic test 3

Deductive Logic Test (Slightly harder)

Question 1.
a) Some goats can climb trees.
b) Ruff is a goat with a good head for heights.

Conclusion
Therefore Ruff can probably climb a tree.

Valid     Invalid

Question 2.
a) Some of the farmer’s chickens are so heavy and overfed they cannot fly.
b) The farmer overfed some of the chickens that were not brown.

Conclusion
Therefore some of the farmers brown chickens could fly.

Valid     Invalid

Question 3.
In the police compound that held vehicles there were:

  • 80 assorted vehicles.
  • 60 of which were recovered stolen cars.
  • Of the eighty only 17 were untaxed.
  • Over fifty five percent of the vehicles were damaged.
  • Most of the vehicles were silver coloured.
  • 45 of the vehicles were completely out of petrol.

Conclusion
Therefore one or more of the vehicles in the police compound, were recovered stolen vehicles of a silver colour that were damaged, out of petrol but nevertheless taxed.

Valid     Invalid

Question 4.
a) Some M are not P
b) All M are S

Conclusion
Therefore some S are not P

Valid     Invalid

Question 5.
a) No M are P
b)
Some S are M

Conclusion
Therefore some S are not P.

Valid     Invalid

Question 6.
One must always keep a promise, said Julie.
Julie promised to give Kate £25 if she passed her exams.
Kate however failed her exams.

Conclusion
Therefore Julie should not give Kate the £25.

Valid     Invalid

Question 7.
One must always keep a promise, said Julie.
Julie promised to give Kate £25, but only if she passed her exams.
Kate however failed her exams.

Conclusion
Therefore Julie should not give Kate the £25.

Valid     Invalid

Question 8.
a) The following premise below is false.
b) The preceding premise above is false.

Conclusion
Therefore the second premise is actually true.

Valid     Invalid

Question 9.
a) Some authors are Martians.
b) All authors love to eat fish and chips.

Conclusion
Therefore some Martians love to eat fish and chips.

Valid     Invalid

Question 10.
a) If the rich keep stashing money away in tax havens then the tax burden will fall more heavily on all others.
b) The rich are continuing to stash money away in tax havens.

Conclusion
Therefore the tax burden will fall more heavily on others.

Valid     Invalid

Question 11.
Everything that has mass has energy and everything that has energy has mass.

Conclusion
If photons have energy then photons must also have mass.

Valid     Invalid

Question 12.
a) If it rains the plants will survive.
b) The plants did survive.

Conclusion
Therefore it rained.

Valid     Invalid

Question 13.
a) Every 200 centimetres is equal to one metre.
b) Every centimetre is made up of 5 millimetres.

Conclusion
Therefore there are 1000 millimetres in one metre.

Valid     Invalid

Question 14.
a) Lars, who came from northern Sweden thought the weather in England was mild.
b) Silvia, who came from Brazil thought the weather in England was cold.
c) Lars and Silvia were both in the same location at the same time when they gave their opinions on the English weather.

Conclusion
Therefore the weather in England can be both cold and mild at the same time in the same location.

Valid     Invalid

Question 15.
a) Fox hunting is effective and necessary to help keep the growing population of foxes under control.
b) Much of the concern over cruelty to foxes from hunting is misplaced as it is very rare that a fox actually is caught, most foxes make it to ground.

Conclusion
Therefore, on these grounds fox hunting is justified.

Valid     Invalid