CMC placement papers ------- placement paper 1

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CMC placement papers

Analytical Reasoning Section:

Directions for questions 1-5: The questions are based on
the information given below

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.

CMC analytical reasoning questions

1. If Mr. A is on the first step, Which of the following is
true?
(a) Mr. B is on the second step
(b) Mr. C is on the fourth step.
(c) A person Mr. E, could be on the third step
(d) Mr. D is on higher 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
(a) step 1
(b) step 2
(c) step 4
(d) step 5
(e) step 6

Ans: (a)

3. If Mr. B was on step 1, which step could A be on?
(a) 2&e only
(b) 3&5 only
(c) 3&4 only
(d) 4&5 only
(e) 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

(a) 2
(b) 3
(c) 4
(d) 5
(e) 6

Ans: (c)

5. Which of the following is false

i. B&D can be both on odd-numbered steps in one
configuration
ii. In a particular configuration A and C must either both
an odd numbered steps or both an even-numbered steps
iii. A person E can be on a step next to the vacant step.

(a) i only
(b) ii only
(c) iii only
(d) both i and iii

Ans: (c)

Directions for questions 6-9: The questions are based on
the information given below

Six swimmers A, B, C, D, E, F compete in a race. The
outcome is as follows.
i. B does not win.
ii. Only two swimmers separate E & D
iii. A is behind D & E
iv. B is ahead of E , with one swimmer intervening
v. F is a head of D

6. Who stood fifth in the race ?
(a) A
(b) B
(c) C
(d) D
(e) E

Ans: (e)

7. How many swimmers seperate A and F ?
(a) 1
(b) 2
(c) 3
(d) 4
(e) cannot be determined

Ans: (d)

8. The swimmer between C & E is
(a) none
(b) F
(c) D
(d) B
(e) A

Ans: (a)

9. If the end of the race, swimmer D is disqualified by the
Judges then swimmer B finishes in which place
(a) 1
(b) 2
(c) 3
(d) 4
(e) 5

Ans: (b)

Directions for questions 10-14: The questions are based on
the information given below

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 colored
chimney. The roof and chimney of each housemust be painted
as follows.
i. The roof must be painted either green,red ,or yellow.
ii. The chimney must be painted either white, black, or red.
iii. No house may have the same color chimney as the color
of roof.
iv. No house may use any of the same colors that the every
next house uses.
v. House E has a green roof.
vi. House B has a red roof and a black chimney

10. Which of the following is true ?
(a) At least two houses have black chimney.
(b) At least two houses have red roofs.
(c) At least two houses have white chimneys
(d) At least two houses have green roofs
(e) At least two houses have yellow roofs

Ans: (c)

11. Which must be false ?
(a) House A has a yellow roof
(b) House A & C have different color chimney
(c) House D has a black chimney
(d) House E has a white chimney
(e) House B&D have the same color roof.

Ans: (b)

12. If house C has a yellow roof. Which must be true.
(a) House E has a white chimney
(b) House E has a black chimney
(c) House E has a red chimney
(d) House D has a red chimney
(e) House C has a black chimney

Ans: (a)

13. Which possible combinations of roof & chimney can house
I. A red roof 7 a black chimney
II. A yellow roof & a red chimney
III. A yellow roof & a black chimney

(a) I only
(b) II only
(c) III only
(d) I & II only
(e) I&II&III

Ans: (e)

14. What is the maximum total number of green roofs for
houses
(a) 1
(b) 2
(c) 3
(d) 4
(e) 5

Note: The questions from 15-27 are multiple choice in the
paper

15. There are 5 red shoes, 4 green shoes. If one draw
randomly a shoe what is the probability of getting a red
shoe

Ans 5c1/ 9c1

16. What is the selling price of a car? If the cost of the
car is Rs.60 and a profit of 10% over selling price is
earned

Ans: Rs 66/-

17. 1/3 of girls , 1/2 of boys go to canteen .What factor
and total number of classmates go to canteen.

Ans: Cannot be determined.

18. The price of a product is reduced by 30% . By what
percentage should it 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.

Ans. 11/14

20. There are two candles of equal lengths and of different
thickness. The thicker one lasts of six hours. The thinner
2 hours less than the thicker one. Ramesh lights 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. How
long ago did Ramesh light the two candles .

Ans: 3 hours.

21. If M/N = 6/5,then 3M+2N = ?

22. If p/q = 5/4 , then 2p+q= ?

23. If PQRST is a parallelogram what it the ratio of
triangle PQS & parallelogram PQRST .

Ans: 1:2

24. The cost of an item is Rs 12.60. If the 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. To 15 lts of water containing 20% alcohol, we add 5 lts
of pure water. What is % alcohol.

Ans : 15%

27. A worker is paid Rs.20/- for a full days work. He works
1,1/3,2/3,1/8.3/4 days in a week. What is the total amount
paid for that worker ?

Ans : 57.50

28. If the value of x lies between 0 & 1 which of the
following is the largest?

(a) x
(b) x2
(c) -x
(d) 1/x

Ans : (d)

Data Sufficiency Section:

Directions : For questions in this section mark

(a) If condition (i) alone is sufficient
(b) If condition (ii) alone is sufficient
(c) If both conditions together are sufficient
(d) If condition (i) alone & (ii) alone are sufficient
(e) information not sufficient

1. A man 6 feet tall is standing near a light on the top of
a pole What is the length of the shadow cast by the man.
(i) The pole is 18 feet high
(ii) The man is 12 feet from the pole

Ans: (c)

2. Two pipes A and B emptied into a reservoir , 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.
(i) By itself, pipe B can fill up the reservoir in 20
minutes
(ii) Pipe B has a larger cross-sectional area than pipe A

Ans: (a)

3. K is an integer. Is K is divisible by 12
(i) K is divisible by 4
(ii) K is divisible by 3

Ans: (c)

4. What is the distance from A to B
(i) A is 15 miles from C
(2) C is 25 miles from B

Ans: (e)

5. Was Melissa Brown's novel published?
(i). If Melissa Brown's novel was published she would
receive atleast $1000 in royalities during 1978
(ii). Melissa Brown's income for 1978 was over $1000

Ans: (e)

6. Does every bird fly?
(i) Tigers do not fly.
(ii) Ostriches do not fly

Ans: (b)

7. How much does John weigh? Jim weighs 200 pounds.
(i) Toms weight plus Moes weight equal to John's weight.
(ii) John's weight plus Moe's weight equal to Twice Tom's
weight.

Ans: (c)

8. Is the figure ABCD is a rectangle if
(i) angle ABC=90(degrees)
(ii) AB=CD

9. Find x+2y
(i). x+y=10
(ii). 2x+4y=20

Ans: (b)

10. Is angle BAC is a right angle
(i) AB=2BC
(2) BC=1.5AC

Ans: (e)

11. Is x greater than y
(i) x=2k
(ii) k=2y

Ans: (e)

12. A piece of string 6 feet long is cut into three smaller
pieces. How long is the longest of the three pieces?
(i). Two pieces are the same length.
(ii) One piece is 3 feet 2 inches lone

Ans: (b)

13. How many rolls of wall paper are necessary to cover the
walls of a room whose floor and ceiling are rectangles 12
feet wide and 15 feet long
(i) A roll of paper covers 20 sq feet
(ii) There are no windows in the walls

Ans: (e)

14. x and y are integers that are both less than 10. Is x>y?
(i). x is a multiple of 3
(ii). y is a multiple of 2

Ans: (e)

15. Fifty students have signed up for atleast one of the
courses GERMAN & ENGLISH, how many of the 50 students are
taking GERMANI but not ENGLISH?
(i). 16 students are taking GERMANI & ENGLISH
(ii). The number of students taking ENGLISH but not
GERMANI is the same as the number of students taking
GERMAN

Ans: (c)

16. Is ABCD is a square ?

A

B

X

C

D

(i) AD = AB
(ii). x=90(degres)

Ans: (e)

17. How much card board will it take to make a rectangular
box with a lid whose base has length 7 inches.
(i). The width of the box 5 inches
(ii). The height of the box will be 4 inches

Ans: (c)
.

18. Did ABC company made profit in 1980?
(i) ABC company made a profit in 1979.
(ii) ABC company made a profit in 1981.

Ans: (e)

19. How much is Janes salary?
(i). Janes salary is 70% of John's salary
(ii). Johns salary is 50% of Mary's salary

Ans: (e)

20. Is x>1
(i) x+y=2
(ii) y<0

Ans: (c)

21. How many of the numbers, x and y are positive? Both x
and y are less than 20.
(i) x is less than 5
(ii) x+y =24

Ans: (b)

22. Is the angle ACB is right angle

(1) AC=CB
(2). (AC)2+CB2=AB2

Ans: (b)

23. How far it from town A to town B? Town C is 12 miles
east of town A
(i). Town C is south of town B
(ii). It is 9 miles from town B to town C

Ans: (c)

24. A rectangular field is 40 yards long. Find the area of
the field.
(i). A fence around the boundary of the field is 140 yards
long
(ii). The field is more than 20 yards width

Ans: (a)

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
(i). In 1962 the number of bottles produced was 3 times the
number of produced in 1980
(ii). In 1963 the number of bottles produced was one half
the total produced in the years 1960,1961,1962.

Ans: (e)

26. Is xy > 1 ? If x & y are both positive
(i) x is less than 1
(ii) y is greater than 1

Ans: (e)

27. Is it a Rhombus
(i) All four sides are equal
(ii) Total internal angle is 360

Ans: (e)

28. How many books are in the book shelf
(i) The book shelf is 12 feet long
(ii). The average weight of each book is 1.2 pound

Ans: (e)

29. What is the area of the circle?
(i) Radius r is given
(ii) Perimeter is 3 times the area

Ans: (a)

Arithmetic Section:

CMC Arithmetic questions

1. If the total distance of a journey is 120 km .If one
goes by 60 kmph and comes back at 40kmph what is the
average speed during the journey?

Ans: 48kmph

2. A school has 30% students from Maharashtra .Out of these
20% are Bombey students. Find the total percentage of
Bombay?

Ans: 6%

3. An equilateral triangle of sides 3 inch each is given.
How many equilateral triangles of side 1 inch can be formed
from it?

Ans: 9

4. If A/B = 3/5,then 15A = ?

Ans : 9B

5. Each side of a rectangle is increased by 100% .By what
percentage does the area increase?

Ans : 300%

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

Ans : 315 feet.

7. Perimeter of front wheel =30, back wheel = 20. If front
wheel revolves 240 times. How many revolutions will the
back wheel take?

Ans: 360 times

8. 20% of a 6 litre solution and 60% of 4 litre solution
are mixed. What percentage of the mixture of solution

Ans: 36%

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

Ans: 130 years

10. Two cars are 15 kms apart. One is turning at a speed of
50kmph and the other at 40kmph . How much time will it take
for the two cars to meet?

Ans: 3/2 hours

11. 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 won't able to buy 3 paise
stamps.

Ans: 9

12. There are 12 boys and 15 girls, How many different
dancing groups can be formed with 2 boys and 3 girls.

13. Which of the following fractions is less than 1/3

(a) 22/62
(b) 15/46
(c) 2/3
(d) 1

Ans: (b)

14. There are two circles, one circle is inscribed and
another circle is circumscribed over a square. What is the
ratio of area of inner to outer circle?

Ans: 1 : 2

Directions for questions 15-17: The questions are based on
the information given below :

Miss Dean wants to rennovate her house. She hires a
plumber, a carpenter, a painter, an electrician and an
interior decorator. The work to be finished in one working
(Monday - Friday ).
Each worker will take the full day to do his job. Miss Dean
permits only one person to work each day.
I. The painter can work only after the plumber and the
carpenter have finished their jobs
II. The interior decorator must do his job before the
electrician.
III. The carpenter cannot work on Monday or Tuesday

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

(a) The electrician works on Tuesday.
(b). The electrician works on Friday.
(c) The interior decorator works after the painter does.
(d). The painter works on consecutive days.
(e). Miss Dean cannot fit all of the workers int schedule

Ans: (b)

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

(a) . The carpenter may works on Wednesday
(b). The carpenter and the electrician may work on
consecutive days
(c). If the carpenter works on Thursday, the electrician
has to work on Wednesday
(d). The plumber may work before the electrician does
(e). The electrician may work on Tuesday

Ans: (c)

17. Which argument is possible?

(a). The electrician will works on Tuesday and the interior
decorator on Friday
(b). The painter will work on wednesday and plumber on
thursday
(c). The carpenter will works on Tuesday and the painter on
Friday
(d). THe painter will work on Monday and the carpenter on
Thursday
(e). The carpenter will work on Wednesday and the plumber
on Thursday

Ans: (e)

CMC placement papers