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CAT DILR Sample Questions: Ace Your Preparation with Expertly Crafted Practice Material

CAT DILR Sample Questions: Ace Your Preparation with Expertly Crafted Practice Material

Edited By Team Careers360 | Updated on May 23, 2024 12:18 PM IST | #CAT

The Data Interpretation and Logical Reasoning section is another important section of the Common Admission Test. In this article, we will go through CAT DILR sample questions. Generally, the DILR section is seen to be one of the most challenging sections of the CAT examination and hence dedicated CAT examination practice of CAT DILR questions is very important. The continuous practice of sample CAT questions and CAT DILR previous year questions is also mandatory. One very effective method for tackling the CAT LR questions is through continuous attempts at the previous year’s DILR CAT questions.

CAT DILR Sample Questions with Solutions

  • Continuous practice of CAT DILR sample questions is essential for securing a good percentile under the logical reasoning section of the CAT exam.
  • One of the main concerns of the CAT DILR section is that it is very time-consuming and due to this proper time management skills and strategic planning are necessary. These sample DILR questions for CAT can also help the candidates improve their time management skills through continuous practice.
  • Candidates are advised to practice a lot of CAT Data Interpretation questions and CAT logical reasoning questions to have an understanding of the exam pattern and the overall difficulty level of the Data Interpretation and Logical Reasoning section of the CAT examination.

CAT DILR Table-based Questions

Directions: Study the table and answer the questions that follow.

Year

Sedans

SUVs

Hatchbacks

Sports Cars

2018

750

350

400

120

2019

820

380

420

110

2020

900

420

460

130

2021

950

450

490

490

2022

1000

480

520

150


1. Question:
Which is the least manufactured car type in 2022?

  1. Sedans

  2. SUVs

  3. Hatchbacks

  4. Sports Cars

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Answer: 4

To determine the least manufactured car type, we can examine the production numbers for each type of car across all years and identify the type with the lowest total production.

Here are the total productions for each type of car:

- Sedans: 1000 (in 2022)

- SUVs: 480 (in 2022)

- Hatchbacks: 520 (in 2022)

- Sports Cars: 150 (in 2022)

The least manufactured car type is "Sports Cars" with a total production of 150 in 2022. Therefore, Sports Cars are the least manufactured car type.

2. Question:

What is the average production of all car types in 2022?

  1. 537.50

  2. 538.75

  3. 540.20

  4. 545.60

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Answer: 1

Total production in 2022 = Production of Sedans + Production of SUVs + Production of Hatchbacks + Production of Sports Cars

Total production in 2022 = 1000 (Sedans) + 480 (SUVs) + 520 (Hatchbacks) + 150 (Sports Cars) = 2150

Average production in 2022 = Total production in 2022 / Number of car types = 2150 / 4 = 537.5

So, the average production of all car types in 2022 is 537.5.

3. Question:

The production of sports cars in the year 2022 was what per cent of the production of SUVs in the year 2021?

  1. 20%

  2. 25%

  3. 33.33%

  4. 40%

Answer: 3

To find the percentage of the production of Sports Cars in 2022 compared to the production of SUVs in 2021,

Percentage = (Value 1 / Value 2) × 100

Value 1 (Sports Cars in 2022) = 150

Value 2 (SUVs in 2021) = 450

Percentage = (150 / 450) × 100

Percentage = (1/3) × 100

Percentage = 33.33%

So, the production of Sports Cars in the year 2022 was 33.33% of the production of SUVs in the year 2021.

4. Question:

Calculate the percentage increase in the manufacture of hatchbacks from 2018 to 2022

  1. 25%

  2. 30%

  3. 35%

  4. 40%

Answer: 2
Percentage Increase = [(New Value - Old Value) / |Old Value|] × 100

Old Value (2018) = 400

New Value (2022) = 520

Percentage Increase = [(520 - 400) / |400|] × 100

Percentage Increase = (120 / 400) × 100

Percentage Increase = 30%

The percentage increase in the manufacture of Hatchbacks from 2018 to 2022 is 30%.

5. Question:

Which type of car type was manufactured maximum between 2019 and 2021

  1. Sedans

  2. SUVs

  3. Hatchbacks

  4. Sports Cars

Answer: 1

To determine which type of car was manufactured the most between 2019 and 2021, the sum of the production of each type of car for those years must be calculated and the maximum is chosen.

Let's calculate the total production for each type of car between 2019 and 2021:

For Sedans:

- 2019: 820

- 2020: 900

- 2021: 950

Total Sedans manufactured from 2019 to 2021: 820 + 900 + 950 = 2670

For SUVs:

- 2019: 380

- 2020: 420

- 2021: 450

Total SUVs manufactured from 2019 to 2021: 380 + 420 + 450 = 1250

For Hatchbacks:

- 2019: 420

- 2020: 460

- 2021: 490

Total Hatchbacks manufactured from 2019 to 2021: 420 + 460 + 490 = 1370

For Sports Cars:

- 2019: 110

- 2020: 130

- 2021: 140

Total Sports Cars manufactured from 2019 to 2021: 110 + 130 + 140 = 380

So, among these types of cars, Sedans were manufactured the most between 2019 and 2021, with a total of 2670 units.

CAT DILR Bar Graph Questions

Direction: Study the bar graph below and answer the questions that follow:

1711002927695

6. Question:
In which subject does the total in both terms add up to 145?

  1. Chemistry

  2. Biology

  3. English

  4. Mathematics

Answer: 2

We can see that,

Marks obtained in Biology in term 1 = 90

Marks obtained in Biology in term 2 = 55

Total marks obtained in Biology in both the terms = 90+55

= 145

7. Question:

The difference in marks obtained in both the terms by the students is minimal in:

  1. Chemistry

  2. Biology

  3. English

  4. Mathematics

Answer: 1

Marks obtained in Chemistry in term 1 = 70

Marks obtained in Chemistry in term 2 = 65

Difference in both = 70 - 65

= 5

We can see that the difference in marks obtained in both the terms by the students is minimal in Chemistry.

8. Question:

Find the average marks obtained in Physics

  1. 62.5

  2. 72.5

  3. 82.5

  4. 92.5

Answer: 3

Marks obtained in Physics in term 1 = 90

Marks obtained in Physics in term 2 = 75

Average marks obtained in English = 90+75/2

= 165/2

= 82.5

9. Question:

Find the ratio of average marks obtained in English to average marks obtained in Maths

  1. 16:15

  2. 5:6

  3. 11:12

  4. 12:11

Answer: 2

Marks obtained in English in term 1 = 70

Marks obtained in English in term 2 = 80

Average marks obtained in English = 70+80/2

= 150/2

= 75

Marks obtained in Maths in term 1 = 100

Marks obtained in Maths in term 2 = 80

Average marks obtained in English = 100 + 80/2

= 180/2

= 90

The ratio of average marks obtained in English to average marks obtained in Maths = 75: 90

= 5: 6

CAT DILR Venn Diagram Questions

10. In a survey of 80 customers at a restaurant, 50 liked Italian cuisine, 40 preferred Mexican dishes, and 30 enjoyed Asian food. Of the customers, 20 liked both Italian and Mexican, 15 liked both Mexican and Asian, and 10 liked both Italian and Asian. How many customers do not prefer Italian Cuisine?

  1. 33 customers

  2. 35 customers

  3. 30 customers

  4. 40 customers

Answer: 3

1711002927508

To find the number of customers who do not like Italian cuisine, we have to add the values of customers who prefer Mexican and Asian food or ignore all values that come under set I.

Here, the number of customers who do not like Italian cuisine = 10 + 10 + 10

= 30

CAT DILR Pie Chart Questions

Consider the following pie chart and answer the questions that follow.

In a survey conducted among 2000 tourists asking them about their favourite tourist destinations, all of them answered and the response is displayed on the below pie chart.
1711002927982

11. How many people only travel to European countries?

  1. 500

  2. 700

  3. 1200

  4. 1400

Answer: 4

Percentage of people who only travel to European countries = (Percentage of France + Percentage of Netherlands + Percentage of Finland + Percentage of Iceland)

Percentage of people who only travel to European countries = (10% + 20% + 15% + 25%) = 70%

Number of people who only travel to European countries = (70% of 2,000)

Number of people who only travel to European countries = 0.70 × 2,000 = 1,400 people

12. How many people do not want to go to the Netherlands?

  1. 200

  2. 400

  3. 1600

  4. 800

Answer: 3

Given:

Netherlands:

20

%

20% of 2,000 tourists

Number of tourists who do not want to go to the Netherlands = Total number of tourists - Number of tourists who chose the Netherlands

Number of tourists who do not want to go to the Netherlands = 2,000 - (20% of 2,000)

Number of tourists who do not want to go to the Netherlands = 2,000 - (0.20 × 2,000)

Number of tourists who do not want to go to the Netherlands = 2,000 - 400

Number of tourists who do not want to go to the Netherlands = 1,600

13. Which is the least preferred country?

  1. India

  2. Netherlands

  3. Finland

  4. France

Answer: 4

Given the percentage of tourists and their favourite destinations:

India: 30%

France: 10%

Netherlands: 20%

Finland: 15%

Iceland: 25%

The least preferred country is France with 10% of tourists choosing it as their favourite destination, and the most preferred country is India.

14. How many of them preferred to go to India?

  1. 240

  2. 420

  3. 600

  4. 360

Answer: 3

Number of tourists who preferred to go to India = 30% of 2,000 = 0.30 × 2,000 = 600.

So, 600 tourists preferred to go to India among the 2,000 tourists.

CAT DILR Circular Arrangement Questions

Direction:

In a circular table arrangement with 6 persons facing towards the centre, the following information is known:

Tom sits second to the right of Peter.

Quill and Umair sit opposite each other.

Shawn does not sit adjacent to Umair or Peter.

Reena is also sitting with Peter.

15. Question:

Who are your immediate neighbours of Shawn?

  1. Umair and Peter

  2. Quill and Reena

  3. Tom and Quill

  4. Umair and Reena

Answer: 3

Consider the only possible circular arrangement of persons
1711002927375

From the above arrangement, it can be seen that Shawn sits in between Quill and Tom and hence the immediate neighbours of Shawn are Quill and Tom.

CAT DILR Cube Questions

Direction: A cubical block of wood is coloured on all the faces using two colours red and yellow, so that each face is coloured with only one colour, and a minimum of three faces are of the same colour. Then the cube is diced with coplanar and non-concurrent cuts of a knife the minimum number of times to create 729 identical small cubes.

16. Question:

If the whole cube were to be covered with a single layer of green-coloured small cubes, identical in size to the 729 small cubes obtained by dicing, how many green-coloured small cubes were required?

  1. 81

  2. 294

  3. 486

  4. 602

Answer: 4

The original cube was (9 × 9 × 9) dimensioned cube, taking into consideration the 729 identical small cubes it was diced into.
If the whole cube were to be covered with a single green-coloured small cube, identical in size to the 729 small cubes obtained by dicing, the dimension would become (11 × 11 × 11).
Thus, the number of gree-coloured small cubes required = (11)3 – (9)3 = 1331 – 729 = 602

Hence, the fourth option is correct.

Directions: The following questions are based on the information given below:

1. A cuboid-shaped wooden block has 10 cm length, 8 cm breadth, and 1 cm height.

2. Two faces measuring 10 cm × 1 cm are coloured in blue.

3. Two faces measuring 8 cm × 1 cm are not coloured.

4. Two faces measuring 10 cm × 8 cm are coloured in Pink.

5. The block is divided into small cubes of 1 cm × 1 cm × 1 cm.

17. Question:

How many cubes will have pink colour on two sides and the rest of the four sides having no colour?

  1. 24

  2. 48

  3. 8

  4. 32

Answer: 2

Except for boundary cubes, all other cubes on the face 10 cm × 8 cm will satisfy this condition.

The total cubes will be 80 and the boundary cubes will be 32.

So, the remaining cubes = 80 – 32 = 48


Hence, the second option is correct.

CAT DILR Binary Logic Questions

Directions: In an institute, there are three top rankers in a batch, Karthik, Waheeda, and Ritesh, not necessarily in the same order, who made the following statements about their ranks.

Karthik:

(A) I am not the top ranker.

(B) Waheeda is not the second ranker.

(C) Ritesh is the third ranker.

Waheeda:

(A) Karthik’s first statement is false.

(B) I am the third ranker.

(C) I made two false statements.

Ritesh:

(A) Karthik is the first ranker.

(B) Waheeda is not the second ranker.

(C) I am the second ranker.

It is known that each of Karthik and Ritesh made only one false statement. Waheeda made only one true statement.

18. Question:

Which statement of Karthik and Ritesh is True?

  1. 1

  2. 2

  3. 3

  4. None

Answer: 2

It is given that Waheeda made only one true statement. It implies that she made two false statements.

⇒ Waheeda’s third statement is true and the other two are false.

⇒ Karthik’s first statement is true. (From Waheeda’s first statement) i.e. Karthik is not the top ranker.

⇒ Ritesh’s first statement is false and the other two are true.

⇒ Ritesh is the second ranker and Waheeda is not the second ranker. As Karthik is not the first ranker, Waheeda is the first ranker and Karthik is the third ranker.

⇒ Karthik’s second statement is true and the third one is false.

Therefore, statement 2 is true of Karthik and Ritesh. Hence, the second option is correct.


19. Question:

If Waheeda’s statements are not considered, which of the following represents the correct order of truth and false statements made by Ritesh so that the rank of all three will not alter?

  1. True, False, True

  2. True, True, False

  3. False, True, True

  4. Cannot be determined

Answer: 3

It is given that Waheeda made only one true statement. It implies that She made two false statements.

⇒ Waheeda’s third statement is true and the other two are false.

⇒ Karthik’s first statement is true. (From Waheeda’s first statement) i.e. Karthik is not the top ranker.

⇒ Ritesh’s first statement is false and the other two are true.

⇒ Ritesh is the second ranker and Waheeda is not the second ranker. As Karthik is not the first ranker, Waheeda is the first ranker and Karthik is the third ranker.

⇒ Karthik’s second statement is true and the third one is false.

Therefore, the arrangement is as follows:

Waheeda > Ritesh > Karthik

If Waheeda’s statements are not considered, then the correct order of truth and false statements made by Ritesh are False, true, and true. Hence, the third option is correct.

CAT DILR Games and Tournaments Questions

Direction: In a school quiz competition, there are 10 teams, and each team competes against each of the other teams exactly once. In this scoring system, each win is worth 3 points, a draw is worth 1 point, and a loss is worth (–1) points. The final standings are as follows:

Team Phoenix – 27 points

Team Tiger – 18 points

Team Falcon – 14 points

Team Lion – 10 points

Team Dolphin – 8 points

Team Wolf – (–9) points

Team Eagle – 5 points

Team Bear – 4 points

Team Panda – 2 points

Team Giraffe – 0 points


20. Question:

Find the team that had scored approximately the average of all the points scored by the teams.

  1. Team Phoenix

  2. Team Lion

  3. Team Dolphin

  4. Team Eagle

Answer: 3

The total points scored by all teams is:

27 (Phoenix) + 18 (Tiger) + 14 (Falcon) + 10 (Lion) + 8 (Dolphin) – 9 (Wolf) + 5 (Eagle) + 4 (Bear) + 2 (Panda) + 0 (Giraffe) = 79


The average points would be the total points divided by the number of teams (10):

Average points = 79 ÷ 10 = 7.9

So, the average points scored by all teams is 7.9.

Team Dolphin with 8 points is the closest to the average of 7.9.

Therefore, Team Dolphin scored approximately the average of all the points scored by the teams.

Hence, the third option is correct.


21. Question:

Find the number of games drawn by Team Eagle if they had won 3 games and lost 5 games.

  1. 2

  2. 3

  3. 4

  4. 1

Answer: 4

If Team Eagle won 3 games and lost 5 games, we can find the number of games drawn by subtracting these wins and losses from the total number of matches they played.

In the round-robin format, each team plays against every other team exactly once. Since there are 10 teams, each team plays 9 matches.

So, Team Eagle played a total of 9 matches, and they won 3 games and lost 5 games. To find the number of games drawn:

Number of games drawn = Total matches – Wins + Losses

Number of games drawn = 9 – (3 + 5)

Number of games drawn = 9 – 8

Number of games drawn = 1


Team Eagle drew 1 game.


Hence, the fourth option is correct.

CAT DILR Radar Graph Questions

Direction:

Study the given radar graph and answer the following questions.

1717729283687


22. Question:

Find the mode of the exports.

  1. $150 million

  2. $180 million

  3. $200 million

  4. None of the Above

Answer: 4

The mode of exports is the export value that appears most frequently in the dataset. To find the mode, we can analyze the provided export values:

Export of Gemstones in India: $150 million

Export of Gemstones in USA: $175 million

Export of Gemstones in Ghana: $180 million

Export of Gemstones in Russia: $200 million

Export of Gemstones in France: $210 million

In this dataset, there is no single export value that appears more frequently than others. Each export value occurs only once. Therefore, in this dataset, there is no mode for the exports, as there are no repeated values.


23. Question:

Which countries have an export less than the average?

  1. France, Russia

  2. Russia, France

  3. India, USA, Ghana

  4. USA, Russia

Answer: 3

The average export can be calculated as follows:

Average Export = (Total Exports) / (Number of Countries)

From the previous dataset, we have the export values for India, USA, Ghana, Russia, and France:

Export of Gemstones in India: $150 million

Export of Gemstones in USA: $175 million

Export of Gemstones in Ghana: $180 million

Export of Gemstones in Russia: $200 million

Export of Gemstones in France: $210 million

Let's calculate the average export:

Average Export = ($150 million + $175 million + $180 million + $200 million + $210 million) / 5 countries

Average Export = $915 million / 5 countries

Average Export = $183 million

Now, let's identify the countries with exports less than the average ($183 million):

India: $150 million (less than the average)

USA: $175 million (less than the average)

Ghana: $180 million (less than the average)

So, the countries with exports less than the average are India, USA, and Ghana.

CAT DILR Line Graph Questions

Directions: The following Line Graph depicts the Mark-up percentage and the Discount percentage of six types of hand-woven Murshidabad-silk sarees A to F at a Tantuja Store in Kolkata, the West Bengal government handloom and silk saree shop.

1717729283584


24. Question:

What is the ratio of the cost price and the selling price of Murshidabad-silk saree type D ?

  1. 20:21

  2. 19:21

  3. 21:22

  4. 19:22

Answer: 1

From the graph,

For Murshidabad-silk saree type D, marked price is 40% over cost price, and discount is 25% on marked price

We know that If profit percentage is p, mark up percentage is m and discount percentage is d, then

p = m – d – (m*d)/100

Hence profit percentage on saree type D = 40 – 25 + 40(–25)/100 = 5%.

So if the cost price is 100, the selling price should be 105.

Hence, the ratio of the cost price and the selling price of Murshidabad-silk saree type D

= 100 : 105

= 20 : 21.


25. Question:

The ratio of the selling price of Murshidabad-silk saree types C and D is 3 : 4.

Quantity A : The percentage by which the cost price of saree type D is more than the cost price of saree type C.

Quantity B : 30%

  1. A = B

  2. A > B

  3. A < B

  4. Cannot be determined

Answer: 2

Profit percentage on saree type C

= 20 – 10 + 20(–10)/100

= 8%.

Profit percentage on saree type D = 5% (found in previous question).

If the cost price of saree type C is 100x, then selling price of saree type C is 108x.

If the cost price of saree type D is 100y, then selling price of saree type D is 105y.

Thus,

108x/105y = 3/4

or, x/y = 35/48

or, the ratio of cost price of saree type C and D = 35/48

Hence, the percentage by which the cost price of saree type D is more than the cost price of saree type C

= {(48–35)/35}*100

= 37%

Hence A > B


For more practice and in-depth explanation of various CAT DILR questions, click here: Download Now

CAT Syllabus for DILR

Topics

Tables

Bar Graphs and Line Graphs

Pie Charts/Doughnut Charts

Radar Chart

Gantt chart

Data Arrangements

Word Puzzle

Games and Tournaments

Math Puzzles

Venn Diagrams

Binary Logic

Scatter Plot

Cubes

CAT DILR: Tips to Solve Questions

  • Make sure you are familiar with the different types of questions asked, such as bar graphs, pie charts, etc. This will help you determine the right approach to solve a question.

  • It is very important to get your basics clear. You should be well-versed in the concepts of percentages, ratio and proportion, etc. as well as calculation shortcuts to save time.

  • Read the directions carefully. Large questions may seem complex at first glance, but if you break them down into smaller parts, then you’ll be able to identify the method you need to solve the question.

  • Improve your speed and accuracy by practicing questions from sample papers and previous years’ papers. The DILR section can be time-consuming, so make sure you practice extensively.

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Frequently Asked Question (FAQs)

1. What is CAT DILR?

DILR full form is Data Interpretation and Logical Reasoning. This section of the CAT exam tests a candidate’s analytical thinking and data comprehension skills.

2. What are the topics from which CAT DILR questions are asked frequently?

Clocks and Calendars, Blood Relations, Statements, Venn Diagrams, Series, Data Arrangement, Propositions, Data Structure, Family Trees, Tables, Direction Sense, Pie Charts, Coding-Decoding, Binary Logic, Seating Arrangements, Assumptions, Data Sufficiency, Bars & Line Graphs, Puzzles and Sets & Caselets.

3. What are the two most important skills required for solving the CAT DILR section?

Critical and decision-making skills are the two most important skills required for solving the CAT DILR section.

4. What are the different types of questions asked in the CAT DILR section?

MCQs and TITA (non-MCQs) are the two different types of questions asked in the CAT DILR section.

5. How are the CAT DILR questions asked in the exam?

The Data Interpretation questions are asked in the form of sets. For example in the CAT 2023 examination, the DILR section had 4 sets with 5 questions. Each set would generally be of variable difficulty. 

6. Is the CAT DILR section difficult?

The question paper of the CAT DILR section is set to be of moderate to high difficulty. This section is also voted to be the most challenging section of the CAT exam at times as well. Hence proper CAT DILR practice and frequent mock test attempts are necessary for scoring well in this section.

7. How do I score 99 percentile in CAT DILR?

To be in the top percentile in the DILR section, you’ll have to prepare rigorously and give adequate time to each topic of the section. Practice questions from CAT sample papers, previous years’ papers, CAT books, question banks, etc. Take mock tests on a regular basis and analyze them to identify where you’re lacking. Consistent preparation is the key to a good percentile.

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A bachelor's degree from an accredited university with a CGPA of at least 50% (or an aggregate of 45% for the SC, ST, and PwD/DA categories) is required in order to appear in the CAT exam in 2024. Duration and manner of degree: The course needs to last three years. The mode might be online, distant, or regular.

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Hope this information helps you.

Hello student

As a self-employed individual with your own cafe, you'll need to provide documents that establish your business and work experience. Here are some documents you can prepare for your CAT application:


1. *Business Registration Documents*:

- Partnership Deed (already have)

- Business PAN Card (already have)

- FSSAI License (already have, though it's in your partner's name)

2. *Proof of Business Ownership*:

- Affidavit or declaration stating your ownership and role in the cafe

- Business registration certificate (if you have one)

3. *Proof of Work Experience*:

- A letter or certificate from your partner or co-owner confirming your work experience and role in the cafe

- A detailed resume highlighting your entrepreneurial journey and responsibilities

4. *Financial Documents*:

- Income Tax Returns (ITRs) for the last 2-3 years (if applicable)

- Balance Sheets and Profit & Loss statements for your cafe (if audited)

5. *Rental Agreement*:

- Already have, but ensure it's updated and signed


Additional tips:


- Ensure all documents are scanned and uploaded in the required format (usually PDF or JPEG)

- Keep your documents organized and easily accessible for the application process

- Be prepared to provide additional information or clarification if requested by the admission authorities


Remember to check the specific requirements for each B-school you're applying to, as they may vary. Good luck with your CAT application!

Hello aspirant,
The CAT exam syllabus is not officially prescribed, but it generally includes topics from the following sections:

1. Verbal Ability and Reading Comprehension (VARC)
2. Data interpretation and logical reasoning
3. Quantitative ability

  • Arithmetic

  • Algebra

  • Geometry and Mensuration

  • Number System

  • Modern Math

It seems unlikely that you would be able to get admission in the BTech CS branch at BIT Sindri or Mesra with a CML rank of 2058 and category rank of 433.

Key points:

1. The search results indicate that a CML (Common Merit List) rank of 2058 is quite low for admission to premier engineering colleges like BIT Sindri or NIT Mesra.

2. The cutoff ranks for BTech CS branch at these institutes are usually much higher, often in the range of 1000-2000 for the general category.

3. With a category rank of 433, you may have a better chance of getting admission in the reserved category quota, but the competition is still quite high.

4. The search results do not provide specific cutoff details for BIT Sindri or NIT Mesra, but the general trend suggests your current ranks may not be sufficient for the CS branch in these institutes.

My advice would be to:

1. Check the latest cutoff ranks and admission criteria on the official websites of BIT Sindri and NIT Mesra.

2. Explore other options like state-level engineering colleges or NITs where your current ranks may have a better chance of securing admission.

3. Consider improving your performance in the next attempt of the entrance exam to increase your chances of getting into your desired BTech program.



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1-radian measures 600. (True/False)

Option: 1

True


Option: 2

False


$111111^2$ = 

Option: 1

123456654321


Option: 2

123454321


Option: 3

123454321


Option: 4

12345654321


1111112 =___________ 

Option: 1

 123456654321


Option: 2

1234554321


Option: 3

123454321


Option: 4

12345654321


159702 is divisible by

Option: 1

7


Option: 2

9


Option: 3

11


Option: 4

6


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

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

Option: 1

Must be between 450 and 725 

 


Option: 2

Cannot be more than 800 
 


Option: 3

Must be between 400 and 800 

 


Option: 4

Must be at least 100 


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

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

Option: 1

100


Option: 2

200


Option: 3

500


Option: 4

250


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

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

Option: 1

At most 475 

 


Option: 2

Exactly 475 
 


Option: 3

At least 475 

 


Option: 4

No conclusion is possible based on the given information 


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

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

Option: 1

The number of satellites serving C cannot be uniquely determined 

 


Option: 2

The number of satellites serving B is more than 1000 
 


Option: 3

All 1600 satellites serve B or C or S 

 


Option: 4

The number of satellites serving B exclusively is exactly 250 


2839155 is divisible by

Option: 1

2


Option: 2

7


Option: 3

55


Option: 4

None of the above


'a' for which x^{2}-ax+9= 0 can be written as square of a linear factor is

Option: 1

6


Option: 2

-6,6


Option: 3

\left ( 6,\infty \right )


Option: 4

\left ( -\infty,-6 \right )


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