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CMC Sample Test |
This is only a sample paper. We are not providing you with all the questions - just some questions to give you a general idea of the test pattern.
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.
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 | ||
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|||
|
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
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)