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