Logical Reasoning previous years questions (CAT) - Set 0006


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    Previous years`s CAT questions: Logical Reasoning

    Post your solutions as reply to respective questions below.


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    Question 1

    Answer these questions based on the information given below.

    A country has the following types of traffic signals.

    3 red lights = stop;

    2 red lights = turn left;

    1 red light = turn right;

    3 green lights = go at 100 kmph speed;

    2 green lights = go at 40 kmph speed;

    1 green light = go at 20 kmph speed.

    A motorist starts at a point on a road and follows all traffic signals literally. His car is heading towards the north. He encounters the following signals (the time mentioned in each case below is applicable after crossing the previous signal)

    Starting Point – 1 green light;

    After half an hour, 1st signal –2 red & 2 green lights;

    After 15 minutes, 2nd signal –1 red light;

    After half an hour, 3rd signal –1 red & 3 green lights;

    After 24 minutes, 4th signal –2 red & 2 green 1ight

    After 15 minutes, 5th signal –3 red lights;     

    1) The total distance traveled by the motorist from the starting point till the last signal is:

    a. 90km.

    b. 100km.

    c. 120km.

    d. none of these     

    2) What is the position (radial distance) of the motorist when he reaches the last signal:

    a. 45km directly north of Starting Point.

    b. 30 km directly to the east of the Starting Point.

    c. 50 km. away to the northeast of the Starting Point.

    d. 45 km away to the northwest of the Starting Point.

    3) After the starting point if the 1st signal were 1 red and 2 green lights, what would be the final position of the motorist:

    a. 30 km to the west and 20 km to the south.

    b. 30 km to the west and 40 km to the north.

    c. 50 km to the east and 40 km to the north.

    d. Directly 30 km to the east.

    4)  If at the starting point, the car was heading towards south, what would be the final position motorist?

    a. 30 km to the east and 40 km to the south.

    b. 50 km to the east and 40 km to the south.

    c. 30 km to the west and 40 km to the south.

    d. 50 km to the west and 20 km to the north.               (CAT 2002)

     


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    Question 2

    Four families decided to attend the marriage ceremony of one of their colleagues. One family has no kids, while the others have at least one kid each. Each family with kids has at least one kid attending the marriage. Given below is some information about the families, and who reached when to attend the marriage.

    The family with 2 kids came just before the family with no kids.

    Shanthi who does not have any kids reached just before Sridevi's family.

    Sunil and his wife reached last with their only kid.

    Anil is not the husband of Joya.

    Anil and Raj are fathers.

    Sridevi's and Anita's daughters go to the same school.

    Joya came before Shanthi and met Anita when she reached the venue.

    Raman stays the farthest from the venue.

    Raj said his son could not come because of his exams      

    1) Which women arrived third?

    a. Shanthi   b. Sridevi    c. Anita   d. Joya           

    2) Name the correct pair of husband and wife?

    a. Raj and Shanthi
    b. Sunil and Sridevi

    c. Anil and Sridevi
    d. Raj and Anita     

    3) Of the following pairs, whose daughters go to the same school?

    a. Anil and Raman
    b. Sunil and Raman

    c. Sunil and Anil
    d. Raj and Anil               

    4) Whose family is known to have more than one kid for certain?

    a. Raman's
    b. Raj's

    c. Anil's
    d. Sunil's    (CAT 2003)


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    Question 3

    The plan above shows an office block for six officers, A, B, C, D, E, and F. Both Band C occupies officers to the right of the corridor (as one enters the officer block) and A occupies an officer to the left of the corridor. E and F occupy offices on opposite sides of the corridor but their offices do not face each other. The offices of C and D face each other. E does not have a corner office. F’s office is further down the corridor than A’s but on the same side.  

    1) If E sits in his office and faces the corridor, whose office is to his left?

    a. A    b. B    c. C    d. D         

    2) Whose office faces A’s office?

    a. B    b. C    c. D    d. E         

    3) Who is/ are F’s neighbors (s)?

    a. A only    b. A and D    c. C only    d. B and C               

    4) D was heard telling someone to go further down the corridor to the last office on the right. To whose room was he trying to direct that person?

    a. A    b. B    c. C    d. F          (CAT 2003)


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    Question 4

    Seven faculty members at a management institute frequent a lounge for strong coffee and stimulating conversation. On being asked about their visit to the lounge last Friday we got the following responses.

    JC: I came in first, and the next two persons to enter were SS and SM. When I left the lounge, JP and VR were present in the lounge. DG left with me.

    JP: When I entered the lounge with VR, JC was sitting there. There was someone else, but I cannot remember who it was.

    SM: I went to the lounge for a short while, and met JC, SS, and DG in the lounge that day.

    SS: I left immediately after SM left.

    DG: I met JC, SS, SM, JP, and VR during my first visit to the lounge. I went back to my office with JC. When I went to the lounge the second time, JP and VR were there.

    PK: I had some urgent work, so I did not sit in the lounge that day, but just collected my coffee and left, JP and DG were the only people in the lounge while I was there.

    VR: No comments.      

    1) Based on the responses, which of the two, JP or DG, entered the lounge first?

    a. JP    b. DG    c. Both entered together.    d. Cannot be deduced.           

    2) Who was sitting with JC when JP entered the lounge?

    a. SS    b. SM    c. DG    d. PK               

    3) How many of the seven members did VR meet on Friday in the lounge?

    a. 2       b. 3     c. 4       d. 5        

    4) Who were the last two faculty members to leave the lounge?

    a. JC and DG

    b. PK and DG

    c. JP and PK

    d. JP and DG           

     


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    Question 5

    Recently, the answers of a test held nationwide were leaked to a group of unscrupulous people. The investigative agency has arrested the mastermind and nine other people A, B, C, D, E, F, G, H, and I in this matter. Interrogating them, the following facts have been obtained regarding their operation. Initially the mastermind obtains the correct answer-key. All the others create their answer-keys in the following manner. They obtain the answer key from one or two people who already possess the same. These people are called his/her "sources". If the person has two sources, then he/she compares the answer keys obtained from both sources. If the key to a question from both sources is identical, it is copied, otherwise it is left blank. If the person has only one source, he/she copies the source's answers into his/her copy. Finally, each person compulsorily replaces one of the answers (not a blank one) with a wrong answer in his/her answer key. The paper contained 200 questions; so the investigative agency has ruled out the possibility of two or more of them introducing wrong answers to the same question. The investigative agency has a copy of the correct answer key and has tabulated the following data. These data represent question numbers.      

     

    Name

    Wrong Answers

    Blank Answers

    A

    46

    -

    B

    96

    46,90,25

    C

    27,56

    17,46,90

    D

    17

    -

    E

    46,90

    -

    F

    14,46

    92,90

    G

    25

    -

    H

    46,92

    -

    I

    27

    17,46,90

     

    1) Which one among the following must have two sources?

    a. A    b. B    c. C    d. D         

    2) How many people (excluding the mastermind) needed to make answer-keys before C could make his answer-key?

    a. 2    b. 3     c. 4    d. 5         

    3) Both G and H were sources to

    a. F     b. B     c. 1    d. None of the nine        

    4) Which of the following statements is true?

    a. C introduced the wrong answer to question 27.
    b. E introduced the wrong answer to question 46.
    c. F introduced the wrong answer to question 14.
    d. H introduced the wrong answer to question 46.              

    5) Which of the following two groups of people had identical sources?

    (1) A, D and G

    (2) E and H

    a. Only (1)
    b. Only (2)
    c. Neither (1) nor (2)
    d. Both (1) and (2)              (CAT 2003)


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