# DILR Sets (with Video solutions) - Shashank Prabhu, CAT 100 Percentiler - Part 4

• Set 10

The first table tells us the percentage share of five of the top cement companies in India. The second table tells us the percentage shares of cement sold in the 11 states as a percentage of total sales.

Table 1

Table 2

The market share of a company in a state is the total quantity of cement sold by that company in that state as a percentage of the total quantity of cement sold in that state.

1. In any state if no company had more than 50% market share, in at least how many states did ACC sell its cement?

2. If in all the states that Binani was present, it had at least 25% market share, in at most how many states did Binani sell cement?

3. What is the least number of companies who had sales in at least 3 states?

Video Solution:

Set 11

The regular mathematics faculty could not teach because of being sick. As a stop gap arrangement, different visiting faculty taught different topics on 4 different days in a week. The scheduled time for class was 7:00 am with maximum permissible delay of 20 minutes. The monsoon made the city bus schedules erratic and therefore the classes started on different times on different days.

Mr. Singh didn’t teach on Thursday. Calculus was taught in the class that started at 7:20 am. Mr. Chatterjee took the class on Wednesday, but he didn’t teach probability. The class on Monday started at 7:00 am, but Mr. Singh didn’t teach it. Mr. Dutta didn’t teach ratio and proportion. Mr. Banerjee, who didn’t teach set theory, taught a class that started five minutes later than the class featuring the teacher who taught probability. The teacher in Friday’s class taught set theory. Wednesday’s class didn’t start at 7:10 am. No two classes started at the same time.

1. The class on Wednesday started at:
(a) 7:05 am and topic was ratio and proportion.
(b) 7:20 am and topic was calculus.
(c) 7:00 am and topic was calculus.
(d) 7:20 am and topic was probability.
(e) 7:05 am and topic was probability.

2. The option which gives the correct teacher- subject combination is:
(a) Mr. Chatterjee – ratio and proportion
(b) Mr. Banerjee – calculus
(c) Mr. Chatterjee – set theory
(d) Mr. Singh – calculus
(e) Mr. Singh – set theory

3. Probability was taught by:
(a) Mr. Dutta on Monday
(b) Mr. Dutta on Thursday
(c) Mr. Singh on Wednesday
(d) Mr. Singh on Monday
(e) None of these

4. The option which gives a possible correct class time – week day combination is:
(a) Wednesday – 7:10 am, Thursday – 7:20 am, Friday – 7:05 am
(b) Wednesday – 7:20 am, Thursday – 7:15 am, Friday – 7:20 am
(c) Wednesday – 7:05 am, Thursday – 7:20 am, Friday – 7:10 am
(d) Wednesday – 7:10 am, Thursday – 7:15 am, Friday – 7:05 am
(e) Wednesday – 7:20 am, Thursday – 7:05 am, Friday – 7:10 am

Video Solution:

Set 12

Exactly six dogs—P, Q, R, S, T, and U—are entered in a dog show. The judge of the show awards exactly four ribbons, one for each of first, second, third, and fourth places, to four of the dogs. The information that follows is all that is available about the six dogs:

a. Each dog is either a greyhound or a labrador, but not both.
b. Two of the six dogs are female and four are male.
c. The judge awards ribbons to both female dogs, exactly one of which is a labrador.
d. Exactly one labrador wins a ribbon.
e. Dogs P and R place ahead of dog S, and dog S places ahead of dogs Q and T.
f. Dogs P and R are greyhounds.
g. Dogs S and U are labradors.

1. Which one of the following is a complete and accurate list of the dogs that can be greyhounds?
(A) P, Q
(B) P, R
(C) P, Q, R
(D) P, R, T
(E) P, Q, R, T

2. Which one of the following statements CANNOT be true?
(A) A female greyhound wins the second place ribbon.
(B) A female labrador wins the second place ribbon.
(C) A female labrador wins the third place ribbon.
(D) A male greyhound wins the fourth place ribbon.
(E) A female greyhound wins the fourth place ribbon.

3. Which one of the following dogs must be male?
(A) dog P
(B) dog R
(C) dog S
(D) dog T
(E) dog U

4. Which one of the following statements can be false?
(A) Dog P places ahead of dog R.
(B) Dog P places ahead of dog T.
(C) Dog R places ahead of dog U.
(D) Dog R places ahead of dog T.
(E) Dog S places ahead of dog U.

5. If dog Q is female, which one of the following statements can be false?
(A) Dog P is male.
(B) Dog R is male.
(C) Dog Q wins the fourth place ribbon.
(D) Dog Q is a greyhound.
(E) Dog T is a greyhound.

6. If dog T wins the fourth place ribbon, then which one of the following statements must be true?
(A) Dog P is male.
(B) Dog Q is male.
(C) Dog T is male.
(D) Dog Q is a labrador.
(E) Dog T is a labrador.

7. Which one of the following statements could be true?
(A) Dog P does not win a ribbon.
(B) Dog R does not win a ribbon.
(C) Dog S does not win a ribbon.
(D) Dog T wins a ribbon.
(E) Dog U wins a ribbon.

Video Solution

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