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Law School Admission Test: Logical Reasoning, Reading Comprehension, Analytical Reasoning Questions 197–201 (page: 41)

Updated On: 10-Feb-2026

Four boys -- Fred, Juan, Marc, and Paul -- and three girls -- Nita, Rachel, and Trisha -- will be assigned to a row of five adjacent lockers, numbered consecutively 1 through 5, arranged along a straight wall. The following conditions govern the assignment of lockers to the seven children:

Each locker must be assigned to either one or two children, and each child must be assigned to exactly one locker.
Each shared locker must be assigned to one girl and one boy.
Juan must share a locker, but Rachel cannot share a locker.
Nita's locker cannot be adjacent to Trisha's locker. Fred must be assigned to locker 3

If the first three lockers are assigned to girls, which one of the following must be true?

  1. Juan is assigned to locker 1.
  2. Nita is assigned to locker 3.
  3. Trisha is assigned to locker 1.
  4. Juan is assigned to the same locker as Trisha.
  5. Paul is assigned to the same locker as Trisha.

Answer(s): A

Explanation:

The three girls are Nita, Trisha, and Rachel, the first two of whom are A) sharing lockers with boys and B) not next to each other.



Four boys -- Fred, Juan, Marc, and Paul -- and three girls -- Nita, Rachel, and Trisha -- will be assigned to a row of five adjacent lockers, numbered consecutively 1 through 5, arranged along a straight wall. The following conditions govern the assignment of lockers to the seven children:

Each locker must be assigned to either one or two children, and each child must be assigned to exactly one locker.
Each shared locker must be assigned to one girl and one boy.
Juan must share a locker, but Rachel cannot share a locker.
Nita's locker cannot be adjacent to Trisha's locker. Fred must be assigned to locker 3

If lockers 1 and 2 are each assigned to one boy and are not shared lockers, then locker 4 must be assigned to

  1. Juan
  2. Paul
  3. Rachel
  4. Juan and Nita
  5. Marc and Trisha

Answer(s): C

Explanation:

So lockers 1 and 2 go to boys, yes? And they're not shared? So where--you as a good Logic Games detective must ask are the shared lockers? The only way to insert two non-adjacent (Rule 4) shared lockers is to use lockers 3 and 5. The former is always Fred's, so the latter will be Juan's.



A music store carries exactly ten types of CDs -- both new and used of each of jazz, opera, pop, rap, and soul. The store is having a sale on some of these types of CDs. The following conditions must apply:

Used pop is on sale; new opera is not.
If both types of pop are on sale, then all soul is.
If both types of jazz are on sale, then no rap is.
If neither type of jazz is on sale, then new pop is.
If either type of rap is on sale, then no soul is.

Which one of the following could be a complete and accurate list of the types of CDs that are on sale?

  1. new jazz, used jazz, used opera, used pop, newrap
  2. new jazz, used pop, used rap, new soul
  3. used opera, used pop, new rap, used rap
  4. used opera, new pop, used pop, new soul
  5. used jazz, used pop, new soul, used soul

Answer(s): E

Explanation:

After all that work we would expect a bit of a "gimme," and we get one. It's Acceptability! Even those baffled by the interplay of the rules can get a point for this question by merely comparing the rules to the choices and tossing out the violators. Remember that each choice is a list of circled letters! Rule 1 is never violated, but there's always Rule 2. Scan the choices for "both types of pop on sale." Option [used opera, new pop, used pop, new soul] has it. Following Rule 2, this option should have "all soul on sale" -- yet only new soul is on.



A music store carries exactly ten types of CDs -- both new and used of each of jazz, opera, pop, rap, and soul. The store is having a sale on some of these types of CDs. The following conditions must apply:

Used pop is on sale; new opera is not.
If both types of pop are on sale, then all soul is.
If both types of jazz are on sale, then no rap is.
If neither type of jazz is on sale, then new pop is.
If either type of rap is on sale, then no soul is.

If new soul is not on sale, then which one of the following must be true?

  1. New rap is not on sale.
  2. New rap is on sale.
  3. Used opera is not on sale.
  4. At least one type of jazz is not on sale.
  5. At least one type of pop is not on sale.

Answer(s): E

Explanation:

At least one new fact "must be true" based on the hypothetical that new soul is not on sale. This new "if" warrants a new little sketch in which S is crossed out along with the always-circled p and always-crossed-out O.
Scan your "if 's." The moment we have crossed out either S or s (Rule 2's contrapositive), we must cross out P.
Son of a gun: E. is correct.



A music store carries exactly ten types of CDs -- both new and used of each of jazz, opera, pop, rap, and soul. The store is having a sale on some of these types of CDs. The following conditions must apply:

Used pop is on sale; new opera is not.
If both types of pop are on sale, then all soul is.
If both types of jazz are on sale, then no rap is.
If neither type of jazz is on sale, then new pop is.
If either type of rap is on sale, then no soul is.

If both types of jazz are on sale, then which one of the following is the minimum number of types of new CDs that could be included in the sale?

  1. one
  2. two
  3. three
  4. four
  5. five

Answer(s): A

Explanation:

In this one's sketch we circle both J and j, and keep our attention mostly on the new CDs -- the CAPS, as we've been talking about them.
What is the minimum number that must be on sale? Well, new opera isn't (Rule
1), and now we see that new rap isn't either (Rule 3). Let's try crossing out both S and P, and check the rules.

No damage! The only new CD that has to be on sale is the one mandated by the question stem.



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