# CAT Model Paper 11 Questions and Answers with Explanation Part 4

Get top class preparation for CAT right from your home: get questions, notes, tests, video lectures and more- for all subjects of CAT.

Group questions:

Answer the questions on the basis of the information given below.

4 students A, B, C awl D studying in college XYZ, went to their college canteen to have some snacks. They selected four items P, Q, R, S and decided to , out these items between themselves.

There is additional infonnat ion given as under:

1. Each of the mentioned students selected two items out of the mentioned four items awl each student. Two pieces of each of t. items selected by them.

2. No two students had the same combination of two items. The price for a piece of each item was . . 5, . . 6, . . 4 awl . . 5.5 not necessarily in any particular order.

3. When asked about their visit to their college canteen, each of the mentioned students had the following statements to say. Incidentally, out of t. 2 statements mentioned by each student, one statement is false whereas the other statement is true.

4. If a particular student has mentioned more than one infonnat ion in any statement, then either both the infonnat ion stated have to be tn. or both the infonnat ion stated have to be false.

The following lists down the statements made by each of the four students.

A: 1. One of the items that I had was the costliest of all the mentioned items.

2. D spent a total of. . 20 and . d not have ‘Irt.’ .

B: 1. I spent the maximum possble amount on the items at the college canteen.

2. A spent a total of . . 18 awl . the costliest of all the mentioned items.

C: 1. D neither . P nor R

2. The cost of ‘Q’ is . . 6.

D: 1. I . ‘P’ which costs . . 5.5 per piece.

2. ‘B’ spent a total of . . 23.

Group solution

What is the maximum possible aggregate amount that could have been spent at the college canteen by all the mentioned four students?

Start by assuming that one of the statements of the 4 students is true.

If D՚s statement 2 is true, then B՚s statement 1 is true. B՚s statement 2 is thus false making A՚s statement 1 false.

D ′ s first statement is false, and we get that ′ P ′ does not cost ₹ 5.5. From this, we get that ′ C ′ s statement 1 is true and statement 2 is false.

Therefore, the correct statements are:

A-1

B-1

C-1

D-2

 A B 23 C D 20

31. What is the maximum possible aggregate amount that could have spent at the college canteen by all the mentioned four students?

(A) ₹ 85

(B) ₹ 86

(C) ₹ 87

(D) ₹ 88

(E) ₹ 89

Solution:

The max possible amount will be with the following combinations:

So, the maximum amount is 86.

32. If the total amount spent by C is more than D but less than B, then what is the possible list of items that C could have had at the canteen?

(A) P, S

(B) P, Q

(C) P, R

(D) Either (1) or (3)

(E) Either (2) or (3)

Solution:

The total amount spent by C is more than D (20) but less than B (23) . Which means that the total amount spent by C can be either 21 i.e.. P and R or 22 i.e.. S and P.

Hence, option (d) is the correct choice.

33. How many students out of the four mentioned students had ‘S’ at the canteen?

(A) 1

(B) 2

(C) 3

(D) 4

(E) Cannot be determined

Explanation:

From the table in the solution, it is confirmed that 2 people B and D definitely had S. Also A did not have S but we cannot say anything about C and therefore, either 2 friends or 3 friends would have had S. Hence, option (e) i.e.. cannot be determined is the correct choice.

34. If A spent a total of ₹ 21, then which of the following items A could have had at the canten?

Choices:

(A) R, S

(B) R, P

(C) P, S

(D) Q, S

(E) Q, P

Solution:

A could have had R and P as 2R + 2P = 21

Read the following passage and solve the questions based on it

35. Which one of the following cannot be true?

Choices:

(A) Package 1 is packed in a tin

(B) Package 2 contains Cham cham

(C) Package 3 is packed in a tin

(D) Package 4 contains Kaju Barfi