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    CAT Exam Insider's Guide: Deep Insights into Previous Year Practice Sets for Top Scores- Day 32

    CAT 2023 Percentile Predictor

    CAT 2023 Percentile Predictor

    CAT Exam Insider's Guide: Deep Insights into Previous Year Practice Sets for Top Scores- Day 32

    Edited By Irshad Anwar | Updated on Sep 27, 2023 12:43 PM IST | #CAT

    Hello CAT 2023 candidates, The CAT exam 2023 for MBA admissions 2024–2026 will be held on November 26.. In this CAT 2023 60-day preparation guide series of Careers360, we are here with the CAT Exam Mock Test for day 32. This CAT Exam Mock Test can help you prepare well and crack the CAT entrance test in 2023. CAT Preparation 2023 in 60 days

    CAT Exam Insider's Guide: Deep Insights into Previous Year Practice Sets for Top Scores- Day 32
    CAT Exam Insider's Guide: Deep Insights into Previous Year Practice Sets for Top Scores- Day 32

    CAT Sample Papers: This article contains the subject and topic-specific CAT Sample Papers with solutions. To get the best idea of what the CAT exam requires, candidates must download and complete CAT question papers from all three subjects. This practice set with solutions is based on what we have covered in the last 31 days.

    By practicing the CAT sample papers provided below, one can prevent the negative marking in objective-type questions given in free CAT mocks. In order to complete the actual paper within the allotted time, it is also necessary to keep track of the time spent on CAT practice papers.

    This Practice Set (best test series for CAT) consists of three Sections:

    • CAT Exam Mock Test Part- A consists of 7 questions.
    • CAT Exam Mock Test Part- B consists of 8 questions.
    • CAT Exam Mock Test Part- C consists of 1 RC with 5 questions and 5 questions on Error detection.

    CAT Mock Paper Part-1: Quantitative Aptitude for CAT exam

    Q1. Neeru and Bajwa can do a piece of work in 10 days and Neeru alone can do half of it in 6 days. In how many days can Bajwa do 25% of the work alone?

    1. 60 days

    2. 30 days

    3. 15 days

    4. 45 days

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    Ans: (c)

    Neeru can complete work alone in 12 days.

    Neeru and Bajwa together can complete the work in 10 days.

    Let the total work is 60 units (LCM of 10 and 12)

    Neeru’s 1-day work = 60/12 = 5

    Neeru and Bajwa’s 1-day work = 60/10 =6

    Bajwa’s 1-day work = 6 – 5 = 1

    Bajwa can complete total work in 60/1 = 60 days

    So, Bajwa can finish 25% work in 15 days.

    Q2. A, B and C can do some work in 36 days. A and B together do twice as much work as C alone and A and C together can do thrice as much work as B alone. If A got Rs 300 for his work. How much B will get?

    1. Rs 72

    2. Rs 180

    3. Rs 90

    4. Rs 120

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    Ans: (b)

    Let the Total work is 36 units.

    If C does 1 unit of work, A and B together will do 2 units of work.

    So, work done by C = 1/3 (36) = 12 units

    If B does 1 unit of work, A and C together will do 3 units of work.

    So, work done by B = 1/4 (36) = 9 units

    Amount of work done by A = 36- 12- 9 = 15 units

    The ratio of wages of A, B and C

    A: B: C = 15: 9: 12 = 5: 3: 4

    Amount received by B = 300 x 3/5 = Rs 180

    Q3. A finishes 6/7th of the work in 3z hours, and B works thrice as fast and finishes the remaining work. For how long did B work?

    1. z/6

    2. 3z/6

    3. z/7

    4. z

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    Solution: [A]

    Since B is thrice as efficient as A. So, B will finish 6/7th work in z hrs.

    Therefore, B finishes 1/7th of work (remaining work) in z/6 hrs.

    Q4. Rosy and Harry travel the same distance at the rate of 7 km per hour and 13 km per hour respectively. If Rosy took 3 hrs longer than Harry, the distance travelled by each is

    1. 6 km

    2. 10 km

    3. 45.5 km

    4. 20 km

    Ans: (c)

    Since distance is the same

    SR/ SH = TH/ TR

    ⇒ TH/ TR = 7/13

    ⇒ TR - TH = 13x -7x = 3hrs

    ⇒ x = 0.5 hrs

    Time taken by Rosy = 13 x 0.5 = 6.5 Hrs

    Distance = 7 x 6.5 = 45.5 Kms

    Q5. Lonavala and Khandala are two stations 556 km apart. A train starts from Lonavala and moves towards Khandala at the rate of 27 km/h. After 4 hours, another train starts from Khandala at the rate of 29 km/h. How far from Khandala will they will cross each other?

    1. 250 km

    2. 300 km

    3. 279.166 km

    4. 232 km

    Ans: [d]

    According to the question:

    After 4 hours distance between the two trains = 556 – 27x 4= 448 Kms

    Relative speed = 27 + 29 = 56 Km/ Hr

    Time taken to cross each other after the train from Khandala left the station = 448/56 = 8 hrs.

    Distance from Khandala at the time of crossing = 8 x 29 = 232 Kms

    Q6. Amit travels from A to B 1/3 of the distance by a car with a velocity of 10 km/h, the next 1/3 with a velocity of 25 km/h and the last 1/3 with a velocity of 40 km/h. In return journey, Amit travels with a velocity of 18 Km/Hr throughout. Which of the following is true?

    1. Time taken in travelling distance from both sides is equal

    2. Average Speed during A to B is less than Average speed from B to A.

    3. Average Speed during A to B is 1% more than Average speed from B to A.

    4. Average speed during B to A is 1% less than Average speed from A to B.

    Ans: (c)

    Let the total distance is 300 Km

    Case 1: (A to B)

    1/3rd of the distance (100) travelled with the speed of 10 km/hr; time taken = 100/10 = 10 hrs

    1/3rd of the distance (100) travelled with the speed of 25 km/hr; time taken = 100/25 = 4 hrs

    1/3rd of the distance (100) travelled with the speed of 40 km/hr; time taken = 100/40 = 2.5 hrs

    Average Speed = 300/ (10+ 4+ 2.5) = 18.18 km/ hr

    Case 2: In the return journey, average speed = 18 km/hr

    Q7. After receiving two successive raises, Harish’s salary became equal to 21/7 times his initial salary. By how much percent was the salary raised the first time if the second raise was twice as high (in percent) as the first?

    1. 15%

    2. 20%

    3. 25%

    4. 50%

    Ans: (d)

    Let the first raise in salary be x%

    Then the second raise be 2x%

    Net percentage change = [x + 2x + x(2x)/100] % (Using the formula of net percentage change in successive change)

    Harish’s salary became equal to 21/7 times his initial salary i.e. 3 times of initial salary which means there is a net increase of 200% in the salary.

    Therefore,

    x + 2x + x(2x)/100 = 200

    ⇒ 300x + 2x2 = 20000

    ⇒ x2 + 150x – 10000 =0

    On solving, x = 50%

    CAT Mock Paper Part-2: CAT 2023 Preparation Tips: CAT DILR tips (Logical Reasoning and Data Interpretation) Best test series for CAT

    CAT Mock Paper Directions (Q1-Q4):

    Comprehension:

    A tour operator operates one tour package each in four different circuits. Each tour starts at 7 am from the office on a bus on the first day of the tour package and ends by dropping the tourists back at the office at 7 pm on the last day of the tour package. The four tour packages are

    (i) Circuit A – Seven days duration which starts every Wednesday and Thursday

    (ii) Circuit B – Three days duration which starts every Thursday and Friday

    (iii) Circuit C – Four days duration which starts every Wednesday and Saturday, and

    (iv) Circuit D – A daily tour of 12-hour duration.

    Q1. If a person has started his tour with Circuit A, then what is the minimum number of days required for him to completely tour all the circuits?

    1. 18 days

    2. 17 days

    3. 16 days

    4. 15 days

    Ans: B

    The given information can be tabulated as below:

    [Note: The subscript under the circuit name (A, B and C) is to differentiate the two tours in the same circuit that start on different days of the week.]

    1695797543726

    The subscript under the circuit name differentiates the two tours in the same circuit that start on different days.

    1695797543992

    Alternate solution: Starting with circuit A, it is clear that after taking two tours, one has to definitely wait (The waiting period is from Sunday to Tuesday). This wait can be minimized if the daily trip is planned for one of these three days. Further, the tour after the wait has to be A or C which starts on a Wednesday. Since we are starting with A, the last tour has to be C (for the minimum wait). Because A ends on Tuesday or Wednesday, D shall not be immediately after A, thus in the order A, B, D and C, with A starting on Thursday, the tour can be completed in 17 days. Choice (B)

    Q2. To completely tour all four circuits in the shortest possible time, with which tour does a person shall start his touring?

    1. Circuit C on Saturday

    2. Circuit B on Friday

    3. Circuit C on Wednesday

    4. Circuit B on Thursday

    Ans: A

    If we observe the given information, out of all the tours that end and start on two consecutive days, all the tours are available between Tuesday and Thursday. C ends on Tuesday, A starts on Wednesday, which ends on Tuesday, D ends on Wednesday and B starts on Thursday. Hence, the tour shall start with C which starts on a Saturday.

    Choice (A)

    Q3. On which day of the week, will there be the least activity at the tour operator’s office?

    1. Sunday

    2. Friday

    3. Monday

    4. Saturday

    Ans: C

    Only on a Monday, tourists of only one tour come to the office (either start or end the tour).

    Choice (C)

    Q4. If a person wants to complete all the circuits in the shortest possible time but with one day rest between any two tour packages, what is the best day for a person to start touring?

    1. Friday

    2. Monday

    3. Sunday

    4. Wednesday

    Ans: (D)

    A (Wednesday – Tuesday) + B (Thursday – Saturday) + D (Monday) + C (Wednesday – Saturday). The tour shall start on a Wednesday.

    Choice (D)

    CAT Mock Paper Comprehension:

    Cash Surplus is the excess of cash revenue over cash expenditure (deficit if this is negative). Rather than the absolute value of this surplus/deficit, it as a percentage of GDP is a more important measure. The following graph gives the cash surplus/deficit as a percentage of GDP for 6 countries for each year from 2003 to 2008. Deficits are shown above the X-axis and Surplus is below the X-axis.

    1695797543832

    The following graph gives the growth rate of the GDPs of the same countries for the same time interval.

    1695797543624

    Each of the questions below pertains to only the 6 countries for which data has been given in the above graphs.

    Q5. Which country had the highest cash deficit in the year 2004?

    1. Spain

    2. Egypt

    3. Poland

    4. Cannot be determined

    Ans: (d)

    Since we do not know the actual GDP values for any of the countries, we cannot have any idea of the value of the cash deficit.

    Q6. Which country’s cash deficit increased by the greatest rate from the year 2004 to 2005?

    1. India

    2. Czech Republic

    3. Egypt

    4. Cannot be determined

    Ans: (c)

    The growth rate of the cash deficit is the net effect of the growth rate in ‘deficit as a percentage of GDP’ and the growth rate of the GDP [because Cash deficit = (Deficit as a % of GDP) × (GDP)]

    Looking at the options …

    India: Growth rate of GDP in 2005 is 9.4% and the growth rate in ‘deficit as a percentage of GDP’ is almost negligible (from 3.25 to 3.3 i.e. a percentage increase of 0.05/3.25 i.e. 5/325 i.e. 1/65 i.e. approx 1.5%). Thus, the growth rate in the deficit will be a little more than 9.4%

    Czech Republic: The growth rate of GDP in 2005 is 6.2% and the growth rate in ‘deficit as a percentage of GDP’ (from 3.25 to 3.5) is 0.25/3.25 i.e. 1/13 i.e. 7.7%. Thus, the growth rate in deficit will be 6.2 + 7.7 + (6.2 × 7.7)/100 = 13.9 + 0.4 = 14.3%

    Egypt: Growth rate of GDP in 2005 is 4.6% and the growth rate in ‘deficit as a percentage of GDP’ (from 5.5 to 6.5) is 1/5.5 i.e. approximately 18%. Thus, the growth rate in the deficit will be 4.6 + 18 + 0.8 = 23.4%

    Thus, the largest growth rate in the deficit will be for Egypt.

    Q7. Find the ratio of the cash surplus of Spain in the year 2005 to its cash surplus in the year 2007.

    1. 1: 2

    2. 1: 2.15

    3. 1: 2.3

    4. 1: 2.5

    Ans: (b)

    If the GDP of Spain in 2005 is x, then the required ratio is

    let’s use a + b + ab/100 to find the net effect of a 4% increase and 3.8% increase. It will be 4 + 3.8 + 0.152 = 7.95%, say approx 8%.

    Thus, the required ratio will be i.e. 1: 2.16. The closest option choice is (b)

    Q8. Find the ratio of the cash deficit of Poland and the Czech Republic in the year 2005.

    1. 3: 4

    2. 2: 3

    3. 1: 2

    4. Cannot be determined

    Ans: (d)

    Since the ratio of GDP’s of Poland and Czech are not known for any of the years, the ratio cannot be determined

    CAT Mock Paper Part-3: CAT Exam Preparation 2023: CAT exam tips for VARC (Verbal Ability & Reading Comprehension)

    Best test series for CAT

    CAT 2023 Sample Paper: Reading comprehension

    The hotline conversation between the Director Generals of Military Operations (DGMO) of India and Pakistan and their agreement –

    “To undertake sincere measures to improve the existing situation ensuring peace and avoidance of hardships to the citizens”

    “To fully implement the ceasefire understanding of 2003 in letter and spirit forthwith” is a long-awaited development.

    The wording of the near-identical statements issued by India and Pakistan is the most promising heard from the bilateral front in the last two years, especially the recommitment to the 2003 ceasefire. It was the ceasefire that paved the way for the Vajpayee-Musharraf statement of 2004 and the dialogue that lasted until the Mumbai attacks.

    What Tuesday’s agreement may lead to is still uncertain. It is sufficient that the two sides have unequivocally said they will respect the ceasefire. Scores of civilians living along the LOC have perished in these incidents, which spiked after the 2016 attack on the URI garrison and the subsequent strike by India inside POK.

    In the same period, India lost more soldiers in ceasefire violations than in any other period of peacetime. On the same day as the DGMOs spoke, the Kashmiri separatist leadership, responding to Union Minister Rajnath Singh’s offer of talks, indicated it was open to dialogue with the Centre, without any mention of its usual preconditions.

    If all this does not square with the Pakistan Army-created commotion over a book-length conversation between two long-retired spy bosses of India and Pakistan in which neither says anything that is not already in the public realm, it is because in India-Pakistan relations, trying to reconcile everything is near impossible. The Pakistan Army’s decision to pull in its former DG ISI and put him on the “exit control list” for shooting the breeze with his friend, a former head of RAW, on Kargil among other things, should be seen as a piece with the power struggle in Pakistan.

    A general election is due to be held in Pakistan in a couple of months, and a former chief justice has been appointed to head the caretaker government. The disqualified-for-life Nawaz Sharif has been addressing rallies and public meetings, alleging the Army was behind his removal, and indeed, behind all Pakistan’s problems. His remarks that “non-state actors” had been allowed to cross Pakistan’s borders and kill “common people” in Mumbai have not gone down well with the army. The Former DG ISI, not particularly known as a friend of Pakistan’s civilian governments, broadly vindicates Sharif’s position in the book co-authored with his Indian friend. His former institution had to act quickly before the carefully built-up narrative against the “anti-national” Sharif started disintegrating. For the Pakistan Army, though, the real message is that narratives cannot be controlled beyond a point. That the entire drama unfolded at a time when India and Pakistan have taken steps to reduce hostilities only makes the self-serving nature of nationalist narratives more obvious.

    Q1- As per the passage, Nawaz Sharif was disqualified from his duties. Whom did he allege for his disqualification?

    1. The DG, ISI

    2. The Government

    3. The Army

    4. Civilians

    5. None of these

    Ans: (3)

    Explanation: Refer to 3rd paragraph 2nd line.

    Q2. Which of the following statements is/are correct in context to the passage?

    1. Ceasefire paved the way for the Vajpayee-Musharraf statement of 2004.

    1. The former DG ISI justifies Sharif’s position in a book co-authored with his Indian friend.

    1. A general election is due to be held in Pakistan in a couple of months, and a former chief justice has been appointed to head the caretaker government.


    1. Only 1

    2. Only 2

    3. Both 2 and 3

    4. All are correct

    5. None of the above

    Ans: (4)

    Explanation: Refer to 1st para 6th line, refer to 3rd para 6th line, Refer to 3rd para 1st line

    Q3. As per the passage, what were the postulates of the agreement that awaited development between India and Pakistan?

    1. Improving the existing situation and ensuring peace to citizens.

    2. Full implementation of the ceasefire understanding of 2003 in letter and spirit forthwith.

    3. To successfully conduct general elections to be held in Pakistan.

    4. Both (a) and (b)

    5. All the correct

    Ans: (4)

    Explanation: Refer to 1st para 1st four lines.

    Q4- What is meant by the idiom “shooting the breeze” used in the passage?

    1. Enjoying a pleasant weather.

    2. Spend time thinking about good times.

    3. To spend time talking about things that are not important.

    4. To do something different and amazing.

    5. None of these

    Ans: (3)

    Explanation: Shooting the breeze- to spend time talking about things that are not important.

    Q5- Which of the following statements cannot be inferred from the following passage?

    1. Scores of deaths of civilians along the LOC spiked after the 2016 attack on the URI garrison

    1. India lost less soldiers in ceasefire violations than at any other period of peace time.

    1. Restoring friendly relations between India and Pakistan is near to impossible.


    1. Only 1

    2. Only 2

    3. Only 1 & 2

    4. Only 3

    5. All three

    Ans: (2)

    Explanation: Statement 2 is incorrect. Refer 1st para's last 4 lines.

    Q6: Choose the word which is Most similar to the word PERISH given in the passage.

    1. Revive

    2. Flourish

    3. Succumb

    4. Thrive

    5. Subsist

    Ans: (3)

    Explanation: Perish: to cause to die

    Succumb: fail to resist pressure, temptation, or some other negative force/ die from the effect of a disease or injury

    Error Detection

    Q7: Her mother told her often (a)/ that she spent too much money (b)/ but she never listened. (c)/ No error (d)

    Ans (a) her mother often told her in place of her mother told her often

    Explanation: adverb of frequency always comes before the verb.

    Q 8: If we had been one more good batsman in our team, we would have won the match.

    1. Had had

    2. Would have been

    3. Would have

    4. Would have had

    5. No correction required

    Ans (a) had had in place of had been

    Explanation: this is also an example of an unfulfilled condition but in this sentence, we see the use of been is a conditional clause which is incorrect according to the grammar been is the form of be but here the meaning of the sentence is to have so we use had as the perfect form of have with the active verb had.

    Question 9: He was so much (a)/ disappointed that he (b)/ hid himself in the room(c)./ No error(d)

    Ans-(c) Remove ‘himself’

    Explanation: we do not use reflexive with the verb hide.

    Q10: Last month I went to mount Abu and enjoyed very much.

    1. Enjoyed too much

    2. Enjoyed myself very much

    3. Enjoyed me very much

    4. No improvement

    Ans: (b)

    Explanation: if there is no object given with Enjoy verb then we have to use reflexive.

    With these free cat mocks, an aspirant can strengthen his/her preparation. Also, we have provided CAT 2023 Sample Paper in the last of this series, which will be very helpful for all the aspirants.

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    Questions related to CAT

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    Hello aspirant,

    Candidates who have completed a Bachelor's degree or its equivalent from an accredited university with 50% marks (45% for SC/ST/PwD) or higher may apply for the CAT exam in 2023, according to the CAT eligibility criteria and pass mark. Prior to beginning their CAT exam 2023 preparation, candidates must first meet the eligibility requirements.

    To know complete eligibility criteria, please visit the following link:

    https://bschool.careers360.com/articles/cat-eligibility-criteria

    Thank you

    Hope it helps you.

    Let me tell the this thing that if you want to take admission in MBA than the eligibility for that is pass with 55% aggregate marks in Bachelor’s degree (any discipline) or equivalent, subject to qualifying LPUNEST or CAT or MAT or XAT or NMAT or CMAT and Interview Or Completed Company Secretary (CS) from Institute of Company Secretaries of India (ICSI), subject to qualifying Interview Or Completed Chartered Accountancy (CA) from Institute of Chartered Accountants of India (ICAI), subject to qualifying Interview Or Completed Cost & Management Accountancy (CMA) from Institute of Cost Accountants of India (ICAI)., subject to qualifying Interview, you need to fulfil this eligibility criteria for taking admission in LPU.

    Hello aspirant,

    After 11:00 AM on September 21, 2023, CAT registration will no longer be open. On October 25, candidates who have enrolled for the test will be able to download the CAT admit card 2023 from the official website, iimcat.ac.in. The date of the CAT exam is set for November 26.


    For detailed information, please visit the following link:

    https://news.careers360.com/cat-2023-records-33-lakh-registrations-highest-ever-says-report-application-trends-of-decade#:~:text=CAT%20registration%202023%20was%20closed,be%20held%20on%20November%2026.Thank you

    Hope it helps you.

    Hello aspirant,

    September 21, at 11:00 AM, marked the end of CAT registration for 2023. Candidates who registered for the exam will have the opportunity to download the CAT admit card 2023 from the official website, iimcat.ac.in, on October 25. The CAT exam is scheduled to take place on November 26.

    For more information, please visit the following link:

    https://news.careers360.com/cat-2023-records-33-lakh-registrations-highest-ever-says-report-application-trends-of-decade#:~:text=CAT%20registration%202023%20was%20closed,be%20held%20on%20November%2026.

    Thank you

    Hope it helps you.

    Hii There,

    Commencing your CAT preparation involves building a solid foundation in fundamental concepts. This emphasis is particularly essential for quant, while it's relatively less crucial for VARC, DI, and LR, where consistent practice from the outset is more beneficial.

    To kickstart your preparation, your first step should be to attempt a CAT mock test. Take this mock test right at the beginning of your preparation journey. It will provide an initial assessment of your current proficiency level and help gauge the amount of effort required to reach your target percentile.

    Following this, set a goal to dedicate 10 days to thoroughly cover the fundamentals of Quantitative Aptitude. You can achieve this by studying from a reputable Quantitative Aptitude book or by utilizing study materials provided by a well-known coaching institute. Covering the basics entails working through the solved examples in the chosen resource.


    I hope this answer your question.

    Thanks

    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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