CAT 2018 DILR Slot 1 Question Paper(Available) :Download Solutions with Answer Key

Question 1:

Which of the following statements MUST be true?

1. Jatin's composite score was more than that of Danish.

2. Indu scored less than Chetna in DI.

3. Jatin scored more than Indu in GA.

• (A) Only 2
• (B) Both 2 and 3
• (C) Only 1
• (D) Both 1 and 2

Which of the following statements MUST be FALSE?

• (A) Bala scored same as Jatin in DI.
• (B) Bala's composite score was less than that of Ester.
• (C) Chetna scored more than Bala in DI.
• (D) Harini's composite score was less than that of Falak.

If all the candidates except Ajay and Danish had different marks in DI, and Bala's composite score was less than Chetna's composite score, then what is the maximum marks that Bala could have scored in DI? (TITA)

If all the candidates scored different marks in WE then what is the maximum marks that Harini could have scored in WE? (TITA)

What best can be said about the number of satellites serving C?

• (A) Must be between 400 and 800
• (B) Cannot be more than 800
• (C) Must be at least 100
• (D) Must be between 450 and 725

What is the minimum possible number of satellites serving B exclusively?

• (A) 100
• (B) 200
• (C) 250
• (D) 500

If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S?

• (A) At least 475
• (B) No conclusion is possible based on the given information
• (C) Exactly 475
• (D) At most 475

If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?

• (A) All 1600 satellites serve B or C or S
• (B) The number of satellites serving C cannot be uniquely determined
• (C) The number of satellites serving B exclusively is exactly 250
• (D) The number of satellites serving B is more than 1000

What is the minimum number of different numerals needed to fill a \(3 \times 3\) square matrix? (TITA)

What is the minimum number of different numerals needed to fill a \(5 \times 5\) square matrix? (TITA)

Suppose you are allowed to make one mistake, that is, one pair of adjacent cells can have the same numeral. What is the minimum number of different numerals required to fill a \(5 \times 5\) matrix?

• (A) 4
• (B) 16
• (C) 9
• (D) 25

What is the percentage increase in sales in December 2017 as compared to the sales in December 2016?

• (A) 22.22%
• (B) 28.57%
• (C) 50.00%
• (D) 38.46%

In which quarter of 2017 was the percentage increase in sales from the same quarter of 2016 the highest?

• (A) Q2
• (B) Q4
• (C) Q1
• (D) Q3

During which quarter was the percentage decrease in sales from the previous quarter’s sales the highest?

• (A) Q4 of 2017
• (B) Q1 of 2017
• (C) Q2 of 2017
• (D) Q2 of 2016

During which month was the percentage increase in sales from the previous month’s sales the highest?

• (A) March of 2016
• (B) October of 2016
• (C) October of 2017
• (D) March of 2017

In how many different ways can the ATM serve a customer who gives 500 rupee notes as her preference? (TITA)

If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences? (TITA)

What is the maximum number of customers that the ATM can serve with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, if all the customers are to be served with at most 20 notes per withdrawal?

• (A) 13
• (B) 10
• (C) 12
• (D) 16

What is the number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible?

• (A) 750
• (B) 800
• (C) 1400
• (D) 900

Which of the following MUST be true?

• (A) The contamination level at P12 was recorded as high.
• (B) The contamination level at P20 was recorded as medium.
• (C) The contamination level at P10 was recorded as high.
• (D) The contamination level at P13 was recorded as low.

What best can be said about the number of pumps at which the contamination levels were recorded as medium?

• (A) Exactly 8
• (B) At most 9
• (C) At least 8
• (D) More than 4

If the contamination level at P11 was recorded as low, then which of the following MUST be true?

• (A) The contamination level at P18 was recorded as low.
• (B) The contamination level at P15 was recorded as medium.
• (C) The contamination level at P14 was recorded as medium.
• (D) The contamination level at P12 was recorded as high.

If contamination level at P15 was recorded as medium, then which of the following MUST be FALSE?

• (A) Contamination levels at P11 and P16 were recorded as the same.
• (B) Contamination levels at P10 and P14 were recorded as the same.
• (C) Contamination level at P14 was recorded to be higher than that at P15.
• (D) Contamination levels at P13 and P17 were recorded as the same.

Who are the students from the institute Z?

• (A) Chitra and Daisy
• (B) Adriana and Daisy
• (C) Bandita and Chitra
• (D) Adriana and Bandita

Which subject does Deb minor in?

• (A) Operations
• (B) Marketing
• (C) Finance
• (D) Cannot be determined uniquely from the given information

Which subject does Amit major in?

• (A) Operations
• (B) Marketing
• (C) Finance
• (D) Cannot be determined uniquely from the given information

If Chitra majors in Finance, which subject does Bandita major in?

• (A) Finance
• (B) Operations
• (C) Cannot be determined uniquely from the given information
• (D) Marketing

Based on the given information, which of the following statements MUST be FALSE?

• (A) In the administration committee the number of bureaucrats is equal to the number of educationalists
• (B) The size of the research committee is less than the size of the teaching committee
• (C) The size of the research committee is less than the size of the administration committee
• (D) In the teaching committee the number of educationalists is equal to the number of politicians

What is the number of bureaucrats in the administration committee? (TITA)

What is the number of educationalists in the research committee? (TITA)

Which of the following CANNOT be determined uniquely based on the given information?

• (A) The total number of educationalists in the three committees
• (B) The total number of bureaucrats in the three committees
• (C) The size of the teaching committee
• (D) The size of the research committee