Placement Papers: CMC Paper 2002

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Analytical Reasoning

(1 − 5) steps problem

There are six steps that lead from the first to the second floor.

No two people can be on the same step.

Mr A is two steps below Mr C

Mr B is a step next to Mr D

Only one step is vacant (No one standing on that step)

Denote the first step by step 1 and second step by step 2 etc.

  1. If Mr A is on the first step, Which of the following is true?

    1. Mr B is on the second step

    2. Mr C is on the fourth step.

    3. A person Mr E, could be on the third step

    4. Mr D is on heigher step than Mr C.

    Ans: (D)

  2. If Mr E was on the third step & Mr B was on a higher step than Mr E which step must be vacant

    1. step 1

    2. step 2

    3. step 4

    4. step 5

    5. step 6

    Ans: (A)

  3. If Mr B was on step 1, which step could A be on?

    1. 2&e only

    2. 3&5 only

    3. 3&4 only

    4. 4&5 only

    5. 2&4 only

    Ans: (C)

  4. If there were two steps between the step that A was standing and the step that B was standing on, and A was on a higher step than D, A must be on step

    1. 2

    2. 3

    3. 4

    4. 5

    5. 6 Ans is c

  5. Which of the following is false

    1. B&D can be both on odd-numbered steps in one configuration

    2. In a particular configuration A and C must either both an odd numbered steps or both an even-numbered steps

    3. A person E can be on a step next to the vacant step

    Which is correct?

    1. i only

    2. ii only

    3. iii only

    Ans is c

    Swimmers problem (6 − 9)

    Six swimmers A B C D E F compete in a race. There are no ties. The out comes are as follows.

    1. B does not win.

    2. Only two swimmers seperate E & D

    3. A is behind D & E

    4. B is ahead of E, wiht one swimmer intervening

    5. F is a head of D

  6. who is fifth

    1. i

    2. ii

    3. iii

    4. iv

    5. v

    Ans: (E)

  7. How many swimmers seperate A and F

    1. 1

    2. 2

    3. 3

    4. 4

    5. not deteraminable from the given info.

    Ans: (D)

  8. The swimmer between C & E is

    1. none

    2. F

    3. D

    4. B

    5. A

    Ans: (A)

  9. If the end of the race, swimmer D is disqualified by the Judges then swimmer B finishes in which place

    1. 1

    2. 2

    3. 3

    4. 4

    5. 5 Ans: (B).

  10. Five houses lettered A, B, C, D, & E are built in a row next to each other. The houses are lined up in the order A, B, C, D, & E. Each of the five houses has a coloured chimney. The roof and chimney of each house must be painted as follows.

    1. The roof must be painted either green, red, or yellow.

    2. The chimney must be painted either white, black, or red.

    3. No house may have the same color chimney as the color of roof.

    4. No house may use any of the same colors that the every next house uses.

    5. House E has a green roof.

    6. House B has a red roof and a black chimney

    Which of the following is true?

    1. At least two houses have black chimney.

    2. At least two houses have red roofs.

    3. At least two houses have white chimneys

    4. At least two houses have green roofs

    5. At least two houses have yellow roofs

    Ans: (C)

  11. Which must be false?

    1. House A has a yellow roof

    2. House A & C have different colour chimney

    3. House D has a black chimney

    4. House E has a white chmney

    5. House B&D have the same color roof.

    Ans: (B)

  12. If house C has a yellow roof. Which must be true.

    1. House E has a white chimney

    2. House E has a balck chimney

    3. House E has a red chimney

    4. House D has a red chimney

    5. House C has a balck chimney

    Ans: (A)

  13. Which possible combinations of roof & chimney can house

    1. A red roof 7 a black chimney

    2. A yellow roof & a red chimney

    3. A yellow roof & a black chimney

    Which is correct?

    1. I only

    2. II only

    3. III only

    4. I & II only

    5. I&II&III

    Ans: (E)

  14. What is the maximum total number of green roofs for houses Ans: (C)

  15. There are 5 red shoes, 4 green shoes. If one drasw randomly a shoe what is the probability of getting redshoe is 5c1/9c1

  16. What is the selling price of a car? cost of car is Rs. 60 & profit 10% profit over selling price Ans: Rs. 66/-

  17. ⅓ of girls, ½ of boys go to canteen. What factor and total number of clasmates go to canteen. Ans: Cannot be determined.

  18. price of a product is reduced by 30%. What percentage should be increased to make it 100% Ans: 42.857%

  19. There is a square of side 6cm. A circle is inscribed inside the square. Find the ratio of the area of circle to square. r = 3 circle/square = 11/14

  20. Two candles of equal lengths and of different thickness are there. The thicker one will last of six hours. The thinner 2 hours less than the thicker one. Ramesh light the two candles at the same time. When he went to bed he saw the thicker one is twice the length of the thinner one. For how long did Ramesh lit two candles. Ans: 3 hours.

  21. M/N = 6/5 3M + 2N =? Ans: Cannot be determined

  22. p/q = 5/4 2p + q =? cannot determined.

  23. If PQRST is a parallelogram what it the ratio of triangle PQS & parallelogram PQRST Ans: 1: 2

  24. cost of an item is Rs. 12.60 7 profit is 10% over selling price what is the selling price Ans: Rs. 13.86/-

  25. There are 6 red shoes & 4 green shoes. If two of red shoes are drawn what is the probability of getting red shoes Ans: 6c2/10c2

  26. 15 lts of water containing 20% alcohol, then added 5 lts of water. What is % alcohol. Ans: 15%

  27. A worker pay 20/-day, he works 1, ⅓ ⅔ ⅛ ¾ in a week. What is the total amount paid for that worker Ans: 57.50

  28. The value of x is between 0 & 1 which is the larger?

    1. x

    2. x2

    3. -x

    4. 1/x

    Ans: (D)

Data Sufficiency Questions

  1. A man of 6 feet tall is standing near a light on the top of a pole. What is the length of the shadow cost by the man.

    1. The pole is 18 feet high

    2. The man is 12 feet high

  2. Two pipes A and B empty into a resrvoir, pipe A can fill the reservoir in 30 minutes by itself. How long it will take for pipe A and pipe B together to fill up the reservoir.

    1. By itself, pipe B can fill up the reservoir in 20 minutes

    2. pipe B has a larger cross-sectional area than pipe A

  3. K is an integer. Is K is divisible by 12

    1. K is divisible by 4

    2. K is divisible by 3

  4. How far it from A to B

    1. It is 15 miles from A to C

    2. it is 25 miles from C to B

  5. Was Melissa Brown, s novel published?

    1. If Melissa Brown, s novel was published she would receive atleast $1000 in royalities during 1978

    2. Melissa Brown, s income for 1978 was over $1000

  6. Does every bird fly?

    1. Tigers do not fly.

    2. Ostriches do not fly

  7. How much does John weigh? Jim weigh 200 pounds.

    1. Toms weight plus Moes weight equal to John, s weight.

    2. John, s weight plus Moe, s weight equal to Twice Tom, s weight.

  8. Is the figure ABCD is a rectangle A____B || D-------------------C

    1. x = 90 (degrees)

    2. AB = CD

  9. Find x + 2y

    1. x + y = 10

    2. 2x + 4y = 20

  10. Is angle BAC is a right angle | \ | y\ | \ | x z\____

    1. x = 2y

    2. y = 1.5z

  11. Is x greater than y

    1. x = 2k

    2. k = 2y

  12. A piece of string 6 feet long is cut into three smaller pieces. How long is the longer of ther three pieces?

    1. Two pieces are the same length.

    2. One piece is 3 feet 2 inches lone

  13. How many rolls of wall paper necessary to cover the walls of a room whose floor and ceiling are rectangles 12 feet wide and 15 feet long

    1. A roll of paper covers 20 sq feet

    2. There are no windows in the walls

  14. x and y are integers that are both less than 10. Is x>y?

    1. x is a multiple of 3

    2. y is a multiple of 2

  15. Fifty students have signed up for atleast one of the courses GERMANI 1 & ENGLISH 1, how many of the 50 students are taking GERMANI 1 but not ENGLISH 1.

    1. 16 students are taking GERMANI 1 & ENGLISH 1

    2. The number of students taking ENGLISH 1 but not GERMANI 1 is

    the same as the number of students taking GERMANI 1.

  16. Is ABCD is a square? A____B

    1. AD = AB | x |

    2. x = 90 (degres) || D____C

  17. How much card board will it take to make a rectangular bos with a lid whose base has length 7 inches.

    1. The width of the box 5 inches

    2. The height of the box will be 4 inches

  18. Did ABC company made profit in 1980?

    1. ABC company made a profit in 1979.

    2. ABC company made a profit in 1981.

  19. How much is Janes salary?

    1. Janes salary is 70% of John, s salary

    2. Johns salary is 50% of Mary, s salary

  20. Is x>1

    1. x + y = 2

    2. y<0

  21. How many of the numbers x and y are positive? Both x and y are less than 20

    1. x is less than 5

    2. x + y = 24

  22. Is the angle ACB is right angle A

    1. y = z | \

    2. (AC) ^2 + CB2 = AB2 | z\ | \ | \ | \ | x y\

  23. How far it from town A to town B? Town C is 12 miles east of town A

    1. Town C is south of town B

    2. It is 9 miles from town B to town C

  24. A rectangular field is 40 yards long. Find the area of the field.

    1. A fence around the boundary of the field is 140 yards long

    2. The field is more than 20 yards width

  25. An industrial plant produces bottles. In 1961 the number of bottles produced by the plant was twice the number of produced in 1960. How many bottles were produced altogether in the year 1960, 61, &62

    1. In 1962 the number of bottles produced was 3 times the number of produced in 1980

    2. In 1963 the number of bottles produced was one half the

    total produced in the years 1960, 1961, 1962.

  26. Is xy > 1? x & y are both positive

    1. x is less than 1

    2. y is greater than 1

  27. Is it a Rambus____

    1. All four sides are equal//

    2. Total internal angle is//



  28. How many books are in the book shelf

    1. The book shelf is 12 feet long

    2. The average weight of each book is 1.2 pound

  29. What is the area of circle?

    1. Radius r is given

    2. Perimeter is 3 times the area