LNAT Logical Deduction 2

Question 1

All judges are lawyers. Some lawyers are professors. Which conclusion must be true?

Accepted Answer

Some lawyers are judges

Answer

Since all judges are lawyers, it follows necessarily that some lawyers (namely, all judges) are judges.

Question 2

If the defendant is acquitted, the prosecution will appeal. The prosecution did not appeal. What can we conclude?

Accepted Answer

The defendant was convicted

Answer

By modus tollens: if acquittal leads to appeal, and there was no appeal, then there was no acquittal — meaning the defendant was convicted.

Question 3

In a group of 50 students, 30 study philosophy and 25 study history. What is the minimum number who study both?

Accepted Answer

5

Answer

The minimum overlap is 30 + 25 − 50 = 5, by the inclusion-exclusion principle.

Question 4

Every contract requires offer, acceptance, and consideration. This agreement has offer and acceptance but no consideration. What follows?

Accepted Answer

It is not a valid contract

Answer

Since a necessary condition (consideration) is absent, the agreement cannot be a valid contract.

Question 5

Only barristers can appear in the Supreme Court. Sarah appeared in the Supreme Court. Therefore:

Accepted Answer

Sarah is a barrister

Answer

'Only barristers can appear' means appearing implies being a barrister, so Sarah must be a barrister.

LNAT Practice Test