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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 Apr 22, 2024 04:57 PM IST | #CAT

The Data Interpretation and Logical Reasoning section is another important section of the Common Admission Test. In this article, we deeply assess various quantitative techniques and data interpretation for CMAT examination. 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. The continuous practice of sample CAT questions are also very mandatory because one very effective method for tackling the challenges set by the candidate is through continuous attempts of the previous year’s CAT DILR questions, CAT logical reasoning questions and other data interpretation questions. Continuous practice of CAT logical reasoning questions is essential for securing a good percentile under the logical reasoning section of the CAT exam. These sample CAT questions can also help the candidates to improve their time management skills through continuous practice. 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. 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 Common Admission Test examination.

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

CAT DILR SAMPLE QUESTIONS

1. 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

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

  1. Sedans

  2. SUVs

  3. Hatchbacks

  4. Sports Cars

Answer:

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?

Answer:

  1. 537.50

  2. 538.75

  3. 540.20

  4. 545.60

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:

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:
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:

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.

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

1711002927695

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

  1. Chemistry

  2. Biology

  3. English

  4. Mathematics

Answer:

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:

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:

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:

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

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:

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

11. 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

How many people only travel to European countries?

  1. 500

  2. 700

  3. 1200

  4. 1400

Answer:

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:

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:

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:

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.

15. 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.

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:

Consider the only possible circular arrangement of persons
1711002927375

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

16. Direction:

Bhola, an avid nature lover, wanted to be an entrepreneur. He dreamt of establishing a chain of huts in the Chatpur region to cater to tourists, who were attracted by the beauty and splendour of the Himalayas.

However, he was appalled by the current degradation of the Himalayan environment. He remembered the early times when everything was so green, clean and peaceful. Now, greenery was replaced by buildings, peace was shattered by the honking of vehicles and flocking of tourists, and cleanliness was replaced by heaps of plastics.

Bhola had a strong sense of right and wrong. On speaking to a few locals about the issue, he realised that the locals were aware of these issues. However, they pointed out the benefits of development: pucca houses for locals, higher disposable income and with that, the ability to send their children to better schools and colleges, better road connectivity, and access to the latest technology in agriculture. Most locals wanted the development to continue.

Saddened by the lack of support from the locals, Bhola took up the issue with the government. He met the chief minister of the state to find out if the government could regulate developmental activities to prevent environmental degradation. However, the chief minister told Bhola that such an action would slow down the economic progress. That also meant the loss of substantial tax revenues for the government.

Bhola needed to resolve the dilemma. Bhola always wanted to be an entrepreneur, who could contribute to society and earn money as well. However, his business would also be responsible for destroying the environment. If he did not set up his business, he would not be able to earn money and contribute to the society.

After mulling over the issues, he went to his mentor, ‘‘Guruji’’. Guruji realised that it was a difficult puzzle: if one saves the environment, there seems to be no development and if the people and the government sought development, the environment and hence future of this planet and human beings were at stake. After careful thought, he felt that the dilemma could be resolved. He fixed up a meeting with Bhola to answer Bhola’s queries.

Question:

Visualising he was heading the state government, Bhola thought of a likely problematic situation. Five years have passed. In these five years, Bhola has initiated a lot of pro-environment steps, including making people aware of the fact that it was this pristine environment which brought in tourists in the first place. Now he faced state elections. The opposition accused him of stopping development and causing unemployment under the guise of environmental protection.If Bhola were to consider this accusation as a short-term battle, which option would Guruji suggest to Bhola to score a quick win?

  1. Accuse the opposition of having vested interests as the opposition leaders were denied licences for opening new hotels.

  2. Point out the improvement in the environment since the implementation of pro-environment policies.

  3. Compare the unemployment levels since the implementation of the pro-environment policies and if they are less, accuse the opposition of making baseless charges.

  4. Point out that this government had initiated a regular cleaning-up drive and the opposition did not consider the data regarding the people who were employed in that drive.

Answer:

Option D suggests highlighting the government's initiatives like regular cleaning-up drives and emphasizing the employment generated through these efforts. This shows the government's proactive measures to improve the environment while also providing jobs. It's a data-driven response that counters the opposition's accusations by showcasing the positive outcomes of the pro-environment policies.

17. Question:

Bhola wished he was heading the government. He had listed down five concrete measures he would take if he were to head the government and choose the best alternative.

  1. Charge environmental cess from all businesses operating out of the Himalayas.

  2. Charge cess from anyone who pollutes the environment, it be citizens or industries and reward those who have contributed to afforestation the most.

  3. All profit-making organisations have to take responsibility for afforestation proportionate to their profitability.

  4. Think about maximising the revenues and forget about the environment.

Answer:

From Bhola's list of specific actions to perform, the following would be the best substitute:

B. Charge cess from anyone who pollutes the environment, it is citizens or industries and rewards those who have contributed to afforestation the most.

This choice encourages sustainability and environmental responsibility by punishing pollution and honouring afforestation initiatives. It supports the objective of preserving the environment while promoting useful afforestation efforts.

18. Question:

Bhola wanted to advise the government about the new tourism policy. Bhola has developed a few alternatives as given below. Choose the best alternative.

  1. Stop environmental degradation by stopping developmental activities.

  2. Forget about the environment; think about the people as they are the vote banks for politicians to come back to power.

  3. Suggest that the government should try to promote eco-tourism, which would be controlled and regulated by the government, for the welfare of the majority of stakeholders.

  4. Suggest that the government should promote eco-tourism through public-private partnerships with the involvement of NGOs so that there are checks and balances for inefficiencies and promotion of synergetic efforts between the government and private entrepreneurs.

Answer:

The best alternative for Bhola to advise the government about the new tourism policy would be:
D. Suggest that the government should promote eco-tourism through public-private partnerships with the involvement of NGOs so that there are checks and balances for inefficiencies and promotion of synergetic efforts between the government and private entrepreneurs.

This option promotes sustainable eco-tourism while involving various stakeholders, including the government, private sector, and NGOs, to ensure that there are checks and balances in place to mitigate environmental impact and maximize the welfare of all stakeholders.

19. Question:

Should Bhola still think of doing business?

  1. Yes, where there is a will, there is a way.

  2. No, saving the Earth for our children is more important than earning money.

  3. Yes, Bhola should do business while ensuring no environmental damage is done.

  4. Yes, but only if the government puts strict environmental regulations in place.

Answer:

Bhola can pursue his entrepreneurial goals and preserve the environment at the same time. There are ways to conduct business that put sustainability first and reduce damage to the environment. With this strategy, he can conserve the environment while contributing to society.

20. Direction: Read the statements and clues given below carefully and answer the questions that follow.

Six friends, George, Hannah, Isaac, Juliet, Kevin, and Laura, are participating in a talent show, each showcasing a different talent. They will perform on consecutive days of the week from Monday to Saturday. Using the given clues, can you determine the order of their performances and their respective talents?

Isaac's performance is scheduled for Monday.

Hannah is performing the day after Kevin but before Laura.

George is a magician, and he is performing on Friday.

Juliet's performance is not on Monday

Kevin's performance is on Tuesday.

Laura's performance is not on Wednesday.

Juliet is performing on the last day of the week.

The day before Kevin’s performance is a dance show

An acting show is scheduled for Wednesday.

A guitarist is performing on Tuesday followed by a stand-up comedian the day after.

Question:

Among the six friends, George the Magician performs between

  1. Isaac - George (Magician) - Juliet

  2. Juliet - George (Magician) - Isaac

  3. Kevin - George (Magician) - Laura

  4. Laura - George (Magician) - Juliet

Answer:

Let us consider the table again

Name

Day

Talent

Issac

Monday

Dancer

Kevin

Tuesday

Guitarist

Hannah

Wednesday

Actor

Laura

Thursday

Standup Comedian

George

Friday

Magician

Juliet

Saturday

-

We can see that the magician, George performs on a Friday that is between Laura (Thursday) and Juliet (Saturday).

21. When does the standup comedian perform?

  1. Friday

  2. Thursday

  3. Wednesday

  4. Saturday

Answer:

From the inference table,

Name

Day

Talent

Issac

Monday

Dancer

Kevin

Tuesday

Guitarist

Hannah

Wednesday

Actor

Laura

Thursday

Standup Comedian

George

Friday

Magician

Juliet

Saturday

-

We can see that the standup comedian, Laura performs on Thursday.

22. Question:

Who performs on Wednesday and what is their talent?

  1. Hannah - Acting

  2. Isaac - Dance

  3. Laura - Magician

  4. Kevin - Guitarist

Answer:

Name

Day

Talent

Issac

Monday

Dancer

Kevin

Tuesday

Guitarist

Hannah

Wednesday

Actor

Laura

Thursday

Standup Comedian

George

Friday

Magician

Juliet

Saturday

-

From the table, it can be inferred that on Wednesday, Hannah will perform. She is an actor.

23. Question:

What is the talent of Juliet?

  1. Dancer

  2. Actor

  3. Magician

  4. None of the above

Answer:

From the below table

Name

Day

Talent

Issac

Monday

Dancer

Kevin

Tuesday

Guitarist

Hannah

Wednesday

Actor

Laura

Thursday

Standup Comedian

George

Friday

Magician

Juliet

Saturday

-

We can see that there is no talent mentioned for Juliet.

24. Question: Who is the guitarist?

  1. Hannah

  2. Kevin

  3. Laura

  4. Juliet

Answer:

From the given options, let us create a table

Name

Day

Talent

Issac

Monday

Dancer

Kevin

Tuesday

Guitarist

Hannah

Wednesday

Actor

Laura

Thursday

Standup Comedian

George

Friday

Magician

Juliet

Saturday

-

Based on the given clues and deductions, Kevin is the guitarist. Kevin's performance is on Tuesday, and the clue "A guitarist is performing on Tuesday" confirms that he is the guitarist.

25. A delivery company operates in a city with several warehouses and delivery routes. There are four warehouses: P, Q, R, and S. The delivery routes connect these warehouses and are used to transport goods efficiently. The distances between the warehouses are as follows:

P to Q: 5 kilometres
P to R : 8 kilometres
P to S: 10 kilometre
Q to R: 6 kilometres
Q to S : 9 kilometres
R to S : 7 kilometres


In how many ways can a worker move from P to S ?

  1. 8

  2. 4

  3. 16

  4. 64

Answer:

ll the possible ways in which a worker can move from P to S are:

Given the network:

Warehouse P

Warehouse Q

Warehouse R

Warehouse S

Direct Route: P → S

Route via Q: P → Q → S

Route via R: P → R → S

Longer Route via Q and R: P → Q → R → S

So, there are 4 different ways a worker can move from Warehouse P to Warehouse S in this network.

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

CAT DATA INTERPRETATION AND LOGICAL REASONING (DILR) MCQs

TITLESTUDY LINKS
ANALYTICAL PUZZLES SET 1STUDY NOW
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BAR GRAPHS SET 1STUDY NOW
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GAMES AND TOURNAMENTS SET 1STUDY NOW
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INNOVATIVE GRAPHS SET 1STUDY NOW
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LINE GRAPHS SET 1STUDY NOW
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LINEAR AND CIRCULAR ARRANGEMENT SET 1STUDY NOW
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LOGICAL DEDUCTIONS AND CONNECTIONS SET 1STUDY NOW
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ORDERING AND SEQUENCING SET 1STUDY NOW
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PIE CHARTS SET 1STUDY NOW
PIE CHARTS SET 2STUDY NOW
RADAR GRAPHS SET 1STUDY NOW
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REASONING BASED DI SET 1STUDY NOW
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ROUTES AND NETWORKS SET 1STUDY NOW
ROUTES AND NETWORKS SET 2STUDY NOW
SCATTER GRAPHS SET 1STUDY NOW
SCATTER GRAPHS SET 2STUDY NOW
SELECTIONS AND DISTRIBUTIONS SET 1STUDY NOW
SELECTIONS AND DISTRIBUTIONS SET 2STUDY NOW
SYLLOGISM SET 1STUDY NOW
SYLLOGISM SET 2STUDY NOW
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Frequently Asked Question (FAQs)

1. 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.

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. 

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Generally admissions are given based on your rank. So based on your overall percentile in JEE your rank could be between 56470 - 63480 approximately.

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View All

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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