Placement Papers: CMC Paper 2004

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Analytical Reasoning

  1. There are six steps that lead from the first to the second floor. No two people can be on thesame 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. 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.

    Answer: 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

    Answer: 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

    Answer: 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

    Answer: c

  5. How many swimmers seperate A and F

    1. 1

    2. 2

    3. 3

    4. 4

    5. not deteraminable from the given info.

    Answer: d

  6. The swimmer between C & E is

    1. none

    2. F

    3. D

    4. B

    5. A

    Answer: a

  7. 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

    Answer: b

Analytical Questions Part II

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

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

⅓ of girls, ½ of boys go to canteen. What factor and total number of clasmates go to canteen

Ans: Cannot be determined

Price of a product is reduced by 30%. What percentage should be increased to make it 100%

Ans: 42.857%

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

Two candles of equal lengths and of different thickness are there. The thicker one will last of six hours. Thethinner 2 hours lessthan 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.

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

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

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

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

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

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

Ans: 15%

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

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

Ans: 1/x

Arithmetic Questions

Total distance is 120 km. Going by 60kmph and coming back by 40kmph what is the average speed?

Ans: 48kmph

A school have 30% from MAHARASTRA. Out of this 20% from BOMBAY students. Find the total percentage of BOMBAY Ans: 6%

An equilateral triangle of side 3 inch is given. How many equilateral triangles of side 1 inch can be formed from it Ans: 9

A/B = ⅗ 15A =? Ans: 9B

Each side of a rectangle is increased by 100%. How much the percentage of area will be increased

Ans: 300%

Perimeter of the back whell = 9 feet, front wheel = 7 feet on a certain distance the front wheel gets 10 revolutions more than back wheel. What is the distance? Ans: 315 feet.

Perimeter of front wheel = 30, back wheel = 20. If front wheel revolves 240 times. Howm many revolutions will the back wheel take? Ans: 360 times

205 of 6 liter solution and 60% of 4 liter solution is mixed What percentage of the mixture of solution

Ans: 36%

City A population is 68000, decreasing at a rate of 80 per year City B having population 42000 increasing at rate of 120 per year. In how many years both the cities will have same population

Ans: 130 years

Two cars, 15 km apart one is turning at a speed of 50kmph other at 40kmph. How will it take to two cars meet. Ans 3/2 hours

A person wants to buy 3 paise and 5 paise stamps costing exactly one rupee. If he buys which of the following number of stamps. He wont able to buy 3 paise stamps Ans: 9

There are 12 boys and 15 girls, How many different dancing groups can be formed. Ans: 180

Which of the following fractions is less than ⅓

  1. 22/62

  2. 15/46 Ans: 15/46 Two circles, one circle is inscribed and another circle is outscribed over a square. What is the ratio of area of inner to outer circle. Ans: 1: 2

Plumber Problem (15 − 17)

  1. Miss Dean wnats to renovate her house. She hires a plumber, a carpenter, a painter an electricial and interior deorator. The work to be finished in one working (Monday-Friday). Each worker will take the full day to do his job. Miss Dean permit only one person to work each day.

    1. The painter cna work only after the plumber and the carpenter have finished their jobs

    2. The interior decorator must do his job before the electrician.

    3. The carpenter cannot work on Monday or Tuesday

    If the painter work on Thursday, which one of the following alternatives is possible?

    1. The electrician works on Tuesday.

    2. The electrician works on Friday.

    3. The interior decorator works after the painter does.

    4. The painter works on consecutive days

    5. Miss Dean cannot fit all of the workers int schedule Ans: (B).

  2. If the painter works on Friday which of the following must be false?

    1. The carpenter may works on Wednesday

    2. The carpenter and the electrician may work on consecutive days

    3. If the carpenter works on Thursday, the electrician has to work on wednesday

    4. The plumber may work before the electrician does

    5. The electrician may work on Tuesday

    Ans: (C)

  3. Which argument is possible?

    1. The electrician will works on Tuesday and the interiordecorator on Friday

    2. The painter will work on wednesday and plumber on thursday

    3. The carpenter will works on Tuesday and the painter on Friday

    4. THe painter will work on Monday and the carpenter on Thursday

    5. The carpenter will work on Wednesday and the plumber on Thursday

Ans: (E)