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    Circles Important Questions For CAT Exam | Day 43

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    Circles Important Questions For CAT Exam | Day 43

    Edited By Irshad Anwar | Updated on Oct 31, 2022 10:31 AM IST | #CAT

    Hello CAT 2022 candidates,
    CAT Preparation 2022 in 60 days: On November 27, the CAT exam 2022 for MBA admissions 2023–2025 will take place. In this CAT 2022 60 days preparation guide series of Careers360, we will discuss the strategies on CAT Questions on Circles for day 43 that can help you prepare well and crack the CAT entrance test 2022. Students can download the geometry: Circles questions and answers pdf.

    Circles Important Questions For CAT Exam | Day 43
    Circles Important Questions For CAT Exam | Day 43

    CAT Preparation 2022 in 60 days

    Part-1: Quantitative Aptitude for CAT exam

    CAT Exam Important Topic: Strategy to Prepare “Geometry (Circles questions and answers)” for CAT-2022

    CAT entrance exam: Pre-requisite to circle reasoning questions

    Circle questions and answers

    1. Lines and Angles, triangles, polygons
    2. Basics of trigonometry

    CAT study material: References to Study (Theory) Geometry: Circles

    1. NCERT Mathematics Class 9 and 10
    2. Rodha (YouTube, Link: https://www.youtube.com/watch?v=EAz4sd6svzo

    https://www.youtube.com/watch?v=nZR9cijpmkQ

    https://www.youtube.com/watch?v=BAlO-DvSWic)

    References to Practice circle questions for CAT exam

    Circle questions and answers

    1. How to prepare quantitative Aptitude for CAT by Arun Sharma.
    2. Crack U (https://www.youtube.com/watch?v=IqfBailsqTk)
    3. Practice Sample Papers

    Important Concept/Formula Used in circle questions for CAT exam

    Circle questions and answers are based on

    1. Sector and Segment
    2. Areas related to Sector and Segment
    • Area of sector = (Angle of sector/360) x Area of Circle
    • Area of Segment = Area of Circle – Area of corresponding Sector

    3. Tangent, Secant and Chord

    4. Congruency of Circles

    5. Cyclic Quadrilateral

    Tricks and Tips for CAT Geometry: circle questions and answers


    Tips to solve circle questions:

    1. Learn Important Properties of Circle

    • Area = πr2, r is the radius of circle
    • Circumference = 2πr
    • Length of Arc = θ/360× 2πr; θ is the angle made by arc at the centre.
    • Two circles are congruent if they have equal radii.

    2. Learn Properties related to Chord

    • The perpendicular from the centre of a circle to a chord bisects the chord. The converse is also true.
    • There can be one and only one circle passing through three or more non-collinear points.
    • If two circles intersect in two points then the line through the centres is the perpendicular bisector of the common chord.
    • Equal chords of a circle or congruent circles are equidistant from the centre.
    • The degree measure of an arc of a circle is twice the angle subtended by it at any point on the alternate segment of the circle.

    3. Properties related to Cyclic Quadrilateral

    • Sum of opposite angles is 180 degrees.

    4. Properties related to Tangents and Secants

    • If a circle touches all four sides of a quadrilateral, then the sum of the two opposite sides is equal to the sum of the other two
    • Tangents to a circle form an external point are equal.
    • Radius is perpendicular to the tangent at the point of contact.
    • Tangent-Secant Theorem

    1667187593691

    5. Practice CAT previous years questions to know the pattern of the questions and concepts involved.

    6. Practice Similar questions.

    CAT Previous Year Questions On Circle (Geometry):

    Q1. CAT Questions on Circles:

    AB is a diameter of a circle of radius 5 cm. Let P and Q be two points on the circle so that the length of PB is 6 cm, and the length of AP is twice that of AQ. Then the length, in cm, of QB is nearest to

    1. 9.1
    2. 7.8
    3. 9.3
    4. 8.5 [CAT 2019]

    CAT circle questions with solutions are given below:

    Ans: [1]

    APB and AQB are semicircular Arc

    1667187593445

    Angle APB = angle AQB = 900

    Using Pythagoras

    AP2 = 102 - 62

    ⇒ AP = 8cm

    ⇒ AQ = AP/2 = 4cm

    Again, Using Pythagoras

    QB2 = 102 – 42

    ⇒ QB = 9.1 cm (Approx)

    Q2. CAT Questions on Circles are given below:

    ABCD is a quadrilateral inscribed in a circle with centre O. If ∠COD = 120 degrees and ∠BAC = 30 degrees, then the value of ∠BCD (in degrees) is [TITA, CAT 2017]

    CAT circle questions with solutions are given below:

    Solution:

    See the diagram above (As per question)

    1667207447943

    angle (BDC) = angle (BAC) = 300 (angles made by same arc on same side of the arc are equal)

    Also, OD = OC (Radius of circle)

    So, angle (ODC) = angle (OCD) = 300

    Now, angle (BOC) = 1800 - angle (DOC) = 1800 – 1200 = 600 (Linear pair angles)

    angle (BCO) = angle (OBC) (since OB= OC; radii)

    angle (BCO) = (1800 – 600)/2 = 600

    Also,

    angle (BCD) = angle (OCD) + angle (OCB) = 300 + 600 = 900

    Answer: 90 degrees


    Part-2: CAT 2022 Preparation Tips: CAT DILR tips (Logical Reasoning and Data Interpretation)

    CAT 2022 Syllabus Topic: Strategy to prepare “Games and Tournaments (Part-2)” for CAT

    CAT entrance exam: Prerequisite

    1. Puzzles
    2. Basic Knowledge of Sports
    3. Basics of Games and Tournaments

    CAT References to Study (Theory)

    1. LRDI by Nishit K. Sinha
    2. Crack U (YouTube link: https://www.youtube.com/watch?v=fZIx-bnpNO0)

    CAT References to Study (Practice)

    1. Verbal and Non-Verbal Reasoning by R S Agrawal.
    2. MBA Entrance Previous years Papers and Sample Papers.
    3. Rodha (YouTube: https://www.youtube.com/watch?v=Oy9ERJEboWY)
    4. https://www.youtube.com/watch?v=1t4e0EpU12A

    Tips and Tricks for CAT Games and Tournaments through Previous Years Questions from CAT/ MBA Entrance Exam:

    Passage: In an 8 X 8 chessboard a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column or in any diagonal position in any possible 4 directions, provided there is no other piece in between in the path from the queen to that piece.

    The columns are labelled a to h (left to right) and the rows are numbered 1 to 8 (bottom to top). The position of a piece is given by the combination of column and row labels. For example, position c5 means that the piece is in cth column and 5th row. [CAT 2017]

    Question: If the queen is at c5, and the other pieces are at positions c2, g1, g3, g5 and a3, how many are under attack by the queen? There are no other pieces on the board.

    1. 2
    2. 3
    3. 4
    4. 5

    Ans: [c]

    CAT Tip 1: Draw an 8x 8 matrix and Arrange Queen first.

    CAT Tip 2: Arrange the other pieces and try to join them diagonally, vertically or horizontally.

    1667187592774

    Clearly, four pieces are under attack.

    Passage: Ten players, as listed in the table below, participated in a rifle shooting competition comprising 10 rounds. Each round had 6 participants. Players numbered 1 through 6 participated in Round 1, players 2 through 7 in Round 2,…, players 5 through 10 in Round 5, players 6 through 10 and 1 in Round 6, players 7 through 10, 1 and 2 in Round 7 and so on. The top three performances in each round were awarded 7, 3 and 1 points respectively. There were no ties in any of the 10 rounds. The table below gives the total number of points obtained by the 10 players after Round 6 and Round 10

    1667187593281

    The following information is known about Rounds 1 through 6:

    1. Gordon did not score consecutively in any two rounds.
    2. Eric and Fatima both scored in a round.

    The following information is known about Rounds 7 through 10:

    1. Only two players scored in three consecutive rounds. One of them was Chen. No other player scored in any two consecutive rounds
    2. Joshin scored in Round 7, while Amita scored in Round 10.
    3. No player scored in all four rounds. [CAT 2019]

    Q.1 What were the scores of Chen, David, and Eric respectively after Round 3?

    1. 3, 3, 0
    2. 3, 3, 3
    3. 3, 6, 3
    4. 3, 0, 3

    Answer: 2

    Q.2 Which three players were in the last three positions after Round 4?

    1. Hansa, Ikea, Joshin
    2. Bala, Chen, Gordon
    3. Bala, Ikea, Joshin
    4. Bala, Hansa, Ikea

    Answer: 1

    Q.3 Which player scored points in a maximum number of rounds?

    1. Ikea
    2. Chen
    3. Amita
    4. Joshin

    Answer: 1

    Q.4 Which players scored points in the last round?

    1. Amita, Chen, Eric
    2. Amita, Bala, Chen
    3. Amita, Eric, Joshin
    4. Amita, Chen, David

    Answer: 1

    Solution:

    CAT Tip 1: Tabulate given information


    R1

    R2

    R3

    R4

    R5

    R6

    Total after R6

    R7

    R8

    R9

    R10

    Total after R10

    A

    7

    NP

    NP

    NP

    NP

    1

    8

    7

    0

    0

    3

    18

    B

    1

    1

    NP

    NP

    NP

    NP

    2

    0

    0

    3

    0

    5

    C

    0/3

    3/0

    0

    NP

    NP

    NP

    3

    NP

    1

    1

    1

    6

    D

    3/0

    0/3

    0

    3

    NP

    NP

    6

    NP

    NP

    0

    0

    6

    E

    0

    0

    3

    0

    0

    NP

    3

    NP

    NP

    NP

    7

    10

    F

    0

    0

    7

    0

    3

    0

    10

    NP

    NP

    NP

    NP

    10

    G

    NP

    7

    0

    7

    0

    3

    17

    0

    NP

    NP

    NP

    17

    H

    NP

    NP

    1

    0

    0

    0

    1

    0

    3

    NP

    NP

    4

    I

    NP

    NP

    NP

    1

    1

    0

    2

    1

    7

    7

    NP

    17

    J

    NP

    NP

    NP

    NP

    7

    7

    14

    3

    0

    0

    0

    17

    CAT Tip 2: Analyze the total after round 6 and round 10 (Easy Finings)

    B must be scored 1and 1 in R1 and R2 respectively

    G must have scored 0 in R7

    D must score 0 in R9 and R10

    E must score 7 in R10

    J must score 7 and 7 in R5 and R6 both

    CAT Tip 3: Use Additional Information and fill the table simultaneously(shown in red colour)

    Top 3 performaces awarded 7, 3 and 1 in each round.

    In R1; only A can get 7. So, in R6 A will get 1.

    I will get 1 in each of the round R4 and R5 (Since in R6, A get 1)

    H will get 1 in R3

    G must score 7 in R2 and R4. Also scored 3 in R6. ( Since G can not score in consecutive rounds)

    F scored 7 in R3. E scored 3 in the same round.

    F scored a 3 in R5 and D scored a 3 in R4 (Solving puzzle)

    A scored 3 in R10 since 7 is scored by E

    C must score 1 in each of rounds R8, R9 and R10

    I should have scored 1, 7 and 7 in R7, R8 and R9 respectively. So, A will score 7 in R7.

    J score 3 in R7; H scored 3 in R8; B scored 3 in R9.

    The final Table will look as shown above.


    Part-3: CAT Exam Preparation 2022: CAT exam tips for VARC (Verbal Ability & Reading Comprehension)

    CAT Exam Important Topic: Strategy to Prepare “Antonyms (Part-2)” for CAT-2022

    CAT 2022: Pre-requisite

    1. Vocabulary
    2. Parts of Speech

    CAT Exam: References to Study (Theory) Antonyms

    1. Made Word Power Easy
    2. BodhBridge

    (https://www.youtube.com/watch?v=idFKTCWQihI&t=35s)

    CAT Exam: References to Practice Antonyms questions

    1. Newspaper readings (The Hindu/ Times of India)
    2. CAT Previous years Papers and other MBA Entrance Exams.
    3. Knowation (YouTube; Link: https://www.youtube.com/watch?v=zIsFke7zJqs

    Sample Problems on Antonyms from CAT/MBA Entrance Exams:

    Q1: In the following question, out of the four alternatives, select the word opposite in meaning to the given word.

    Intriguing

    1. Banal
    2. Riveting
    3. Comforting
    4. Absorbing

    Answer: A

    Explanation:

    ‘Intriguing’ meaning is “arousing one's curiosity or interest, fascinating”

    Tip for CAT Antonyms: The word is an adjective so the answer should be an adjective.

    Comforting (adj.): serving to alleviate a person's feelings of grief or distress

    Riveting (adj.): completely engrossing

    Absorbing (adj.): intensely interesting

    Banal (adj.): so, lacking in originality as to be obvious and boring.

    So, the correct answer is option A.

    Q2: In the following question, out of the four alternatives, select the word opposite in meaning to the given word.

    Revive

    1. Defibrillate
    2. Torpefy
    3. Recuperate
    4. Dead

    Answer: B

    Explanation:

    Revive (v.): to restore consciousness.

    Torpefy (v.): to make (someone or something) lifeless.

    Recuperate (v.): recover from illness.

    Defibrillate (v.): to restore the heart to a normal rhythm.

    Dead (Noun): unconsciousness or apparent death.

    Tip for CAT Antonyms: The word is a verb. So, the answer should be option B (Dead is not a verb)

    So, the correct answer is option B.

    Practice, stay focused, and we'll be back tomorrow with Day 44.

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    Questions related to CAT

    Have a question related to CAT ?

    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

    Hello aspirant,

    It doesn't matter how high marks you have got in your diploma, of your CAT form asks you to fill 12 th standard marks then you can not fill your diploma marks there. Also in IIMs you need to share your 12 marks. So I suggest you to fill your 12 th grade marks if require, no matter ho many marks you have got.

    Thank you

    Hope this information helps you.

    Hello Praneeth,

    I am also appearing for the cat examination this year. As far as your query is concerned I would suggest you to right your  father's name(which is starting with S) in the middle if it is also mentioned in your aadhar card and pan card .

    And if by any chance it is mentioned only the initials S in your pan/aadhar card then I would suggest you should fill only S in the cat application form.

    Note :-

    Keep in mind that your name in the application form should match with what is mentioned in your aadhar card /pan card .

    Hey,
    That's a too far rank...may be you could achieve seat in a private college...
    To know rank college predictor, check out the link provided
    https://medicine.careers360.com/neet-pg-college-predictor?utm_source=qna&utm_medium=neet_pg_cp
    And also stay updated through careers360.
    Hope it helps .

    Greetings!

    Being a VIT student, I would strongly recommend you against it! Now I not at all mean it is a bad college, no it isn't it indeed is a very good college, and it has provided me with ample of opportunities. It does have a respectable reputation, excellent infrastructure, and well qualified faculty.

    However at the same time, you have an 5.5K rank in mains, with that type of rank you have a very good shot at getting CSE in top NITs and IIITs, and honestly VIT pales in comparison to them, even if it is CAT 1 Vellore campus CSE core.

    VIT is good but it can be termed better than IIIT Bangalore or MNIT Jaipur( both of which are well within your reach)? Well my answer to that would be a definite NO!

    I would go as far as recommending my juniors to get into DAIICT over VIT, the point I am trying to make is simple, and that is if you have under 10K JEE rank, you don't need to consider VIT as an option, in any category or course whatsoever...

    To get a better idea on which colleges you can get at that rank you can use following predictor

    https://law.careers360.com/clat-college-predictor?utm_source=qna&utm_medium=clat_cp


    View All

    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 


    A company administers a written test comprising of three sections of 20 marks each – Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recruitment. A composite score for a candidate (out of 80) is calculated by doubling her marks in DI and adding it to the sum of her marks in the other two sections. Candidates who score less than 70% marks in two or more sections are disqualified. From among the rest, the four with the highest composite scores are recruited. If four or less candidates qualify, all who qualify are recruited. 

    Ten candidates appeared for the written test. Their marks in the test are given in the table below. Some marks in the table are missing, but the following facts are known: 

    1. No two candidates had the same composite score. 

    2. Ajay was the unique highest scorer in WE. 

    3. Among the four recruited, Geeta had the lowest composite score. 

    4. Indu was recruited. 

    5. Danish, Harini, and Indu had scored the same marks the in GA. 

    6. Indu and Jatin both scored 100% in exactly one section and Jatin’s composite score was 10 more than Indu’s.

    Candidate Mark Out of 20
    Ajay 8   16
    Bala   9 11
    Chetan 19 4 12
    Danish 8 15  
    Ester 12 18 16
    Falak 15 7 10
    Geeta 14   6
    Harini 5    
    Indu   8  
    Jatin   16 14

    Question:

    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. 

     

     

    Option: 1

    Only 2 

     

     


    Option: 2

    Only 1 
     


    Option: 3

    Both 1 and 2 

     


    Option: 4

    Both 2 and 3 


    A company administers a written test comprising of three sections of 20 marks each – Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recruitment. A composite score for a candidate (out of 80) is calculated by doubling her marks in DI and adding it to the sum of her marks in the other two sections. Candidates who score less than 70% marks in two or more sections are disqualified. From among the rest, the four with the highest composite scores are recruited. If four or less candidates qualify, all who qualify are recruited. 

    Ten candidates appeared for the written test. Their marks in the test are given in the table below. Some marks in the table are missing, but the following facts are known: 

    1. No two candidates had the same composite score. 

    2. Ajay was the unique highest scorer in WE. 

    3. Among the four recruited, Geeta had the lowest composite score. 

    4. Indu was recruited. 

    5. Danish, Harini, and Indu had scored the same marks the in GA. 

    6. Indu and Jatin both scored 100% in exactly one section and Jatin’s composite score was 10 more than Indu’s.

    Candidate Mark Out of 20
    Ajay 8   16
    Bala   9 11
    Chetan 19 4 12
    Danish 8 15  
    Ester 12 18 16
    Falak 15 7 10
    Geeta 14   6
    Harini 5    
    Indu   8  
    Jatin   16 14

    Question:

    Which of the following statements MUST be FALSE? 

     

     

     

     

     

    Option: 1

    Chetna scored more than Bala in DI 

     

     


    Option: 2

    Harini’s composite score was less than that of Falak 
     


    Option: 3

    Bala’s composite score was less than that of Ester 

     


    Option: 4

    Bala scored same as Jatin in DI 


    A company administers a written test comprising of three sections of 20 marks each – Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recruitment. A composite score for a candidate (out of 80) is calculated by doubling her marks in DI and adding it to the sum of her marks in the other two sections. Candidates who score less than 70% marks in two or more sections are disqualified. From among the rest, the four with the highest composite scores are recruited. If four or less candidates qualify, all who qualify are recruited. 

    Ten candidates appeared for the written test. Their marks in the test are given in the table below. Some marks in the table are missing, but the following facts are known: 

    1. No two candidates had the same composite score. 

    2. Ajay was the unique highest scorer in WE. 

    3. Among the four recruited, Geeta had the lowest composite score. 

    4. Indu was recruited. 

    5. Danish, Harini, and Indu had scored the same marks the in GA. 

    6. Indu and Jatin both scored 100% in exactly one section and Jatin’s composite score was 10 more than Indu’s.

    Candidate Mark Out of 20
    Ajay 8   16
    Bala   9 11
    Chetan 19 4 12
    Danish 8 15  
    Ester 12 18 16
    Falak 15 7 10
    Geeta 14   6
    Harini 5    
    Indu   8  
    Jatin   16 14

    Question:

    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? 

     

     

     

     

     

     

    Option: 1

    13

     

     


    Option: 2

    -
     


    Option: 3

    -

     


    Option: 4

    -


    A company administers a written test comprising of three sections of 20 marks each – Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recruitment. A composite score for a candidate (out of 80) is calculated by doubling her marks in DI and adding it to the sum of her marks in the other two sections. Candidates who score less than 70% marks in two or more sections are disqualified. From among the rest, the four with the highest composite scores are recruited. If four or less candidates qualify, all who qualify are recruited. 

    Ten candidates appeared for the written test. Their marks in the test are given in the table below. Some marks in the table are missing, but the following facts are known: 

    1. No two candidates had the same composite score. 

    2. Ajay was the unique highest scorer in WE. 

    3. Among the four recruited, Geeta had the lowest composite score. 

    4. Indu was recruited. 

    5. Danish, Harini, and Indu had scored the same marks the in GA. 

    6. Indu and Jatin both scored 100% in exactly one section and Jatin’s composite score was 10 more than Indu’s.

    Candidate Mark Out of 20
    Ajay 8   16
    Bala   9 11
    Chetan 19 4 12
    Danish 8 15  
    Ester 12 18 16
    Falak 15 7 10
    Geeta 14   6
    Harini 5    
    Indu   8  
    Jatin   16 14

    Question:

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

    Option: 1

    14


    Option: 2

    -


    Option: 3

    -


    Option: 4

    -


    A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands. When an employee first joins the lab, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequence.
    The lab authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence

    Question : The lab has decided to allow a variation in the sequence of scans of the five fingers so that at most two scans (Out of five) are Out of place. For example, if the original sequence is Thumb Cr), index finger (I), middle finger (M), ring finger CR) and little finger (L) then TLMRI is also allowed, but TMRU is not.
    How many different sequences of scans are allowed for any given persons original scan? 

    Option: 1

    11


    Option: 2

    -


    Option: 3

    -


    Option: 4

    -


    A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands. When an employee first joins the lab, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequence.
    The lab authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence

    Question :  The lab has decided to allow variations of the original sequence so that input of the scanned sequence of five fingers is allowed to vary from the original sequence by one place for any of the fingers. Thus, for example, if TIMRL is the original sequence, then ITRML is also allowed, but LIMRT is not.How many different sequences are allowed for any given Person's original scan?

    Option: 1

    7


    Option: 2

    5


    Option: 3

    8


    Option: 4

    13


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    Resource Links for Online MBA 

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