CMAT Exam

Hey there! I want to be prepare for CMAT exam. Would you please provide me exam detail and modal papers???

[Quick Sam]

CMAT stands for Common Management Admission Test. CMAT is common entrance test to get admission in various college and courses. It is A National Level Common Admission Test. CMAT conducts by AICTE two times in a year.

Course Eligibility:

• Candidates must have a Bachelor’s Degree of minimum 3 Yrs duration form Recognized university.
o OR
• Candidates appearing in final year exam can also apply for CMAT Exam.

Modal Questions:

Following is the modal question of CMAT exam:

1. A person invested 1,00,000 at 8% simple interest for 5 years and reinvested the amount received at 10% simple interest for 2 years. What was the final amount received by him?

(a) 1,56,000 (b) 1,60,000 (c) 1,68,000 (d) 1,70,000

2. A 100 liters spirit water solution contains 75% spirit. Find the amount of water to be added to convert it into 60% spirit solution.

(a) 15 liters (b) 25 liters (c) 40 liters (d) 20 liters

3. Ajay started a firm with a capital of 28,000. After 5 months, Boman joined him and invested 40,000 in the firm. Chirag was also added as a new partner with an individual investment of 56,000 after 7 months of commencement. If at the end of the year, the profit of the firm is 32,000, what is the share of Boman?

(a) 12,000 (b) 8,000 (c) 14,000 (d) 10,000

4. The price of a machine increases by 20% in a year and decreases by 15% in the following year.What is net percentage increase/decrease in the price of the machine?

(a) 1% increase (b) 2% increase (c) 1% decrease (d) 2% decrease

5. The question given below is followed by two statements, I and II. Mark the answer using the following instructions:

Mark (a) if the question can be answered by using statement I alone, but not by using statement II alone.
Mark (b) if the question can be answered by using statement II alone, but not by using statement I alone.
Mark (c) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Mark (d) if the question cannot be answered even by using both the statements together.

Q. In a class, the ratio of boys to girls is 13 : 10. How many boys are there in the class?

I. The number of boys is 30% more than the number of girls.

II. The number of girls is 15 less than the number of boys.

6. A person covers 180 km, 240 km and 300 km by car, train and bus respectively. Find the average speed of the whole journey if the speed of car, train and bus is 60 km/hr, 80 km/hr and 50 km/hr respectively.

(a)63(1/3) km/hr (b) 60 km/hr (c)62(1/3) km/hr (d) 62 km/hr

7. When two students of a class with strength of 40 students were expelled, the average age of the class which was 18 years did not change. If one of the students was 14 years old, what was the age (in years) of the second student?

(a) 22 (b) 24 (c) 26 (d) 20

8. Pure spirit costs _100 per liter. If 90% spirit solution is mixed with 60% spirit solution, Shyam makes a profit of 25% by selling the mixture at _100 per liter. In what ratio does he mix the two?

(a) 2 : 1 (b) 1 : 2 (c) 1 : 3 (d) 3 : 1

9. A and B together can complete a piece of work in 12 days. A and C together can complete the work in 20 days. If three of them together can complete the work in 8 days, then in how many days can A alone complete the work?

(a) 24 (b) 13 (1/3) (c) 120 (d) 60

10, A mason used to earn 180 on Saturdays, 210 on Sundays and a fixed amount on the remaining five days of the weeks in a particular year. If the average income of the mason in the month of April, whose first day was Sunday, was 164, then what was the fixed amount (inr) he used to earn on the remaining five days of the weeks? (Assume that the mason worked on all the 30 days of the month).

(a) 140 (b) 150 (c) 165 (d) 170

11. The ratio of the present age of a mother to that of her daughter is 9 : 4. Ten years ago, the ratio of their ages was 7 : 2. What are their present ages?

(a) 54 years, 24 years (b) 45 years, 20 years (c) 54 years, 28 years (d) 36 years, 16 years

12. There are 7 objective type questions in an examination. First four questions have 4 options each and the remaining 3 questions have 5 options each. How many sequences of answers are possible?

(a) 675000 (b) 135000 (c) 32000 (d) 16000

13. The numbers P and Q when divided by a certain divisor leave remainders 32 and 19 respectively. When P + Q is divided by the same divisor, the remainder is 13. What is the divisor?

(a) 51 (b) 19 (c) 38 (d) Cannot be determined

14. Using base BC of ΔABC, another triangle BCD is constructed, such that ΔBAC = ΔBDC and AC is parallel to BD. If the area of ΔABC is 45 cm2, then what is the area of the ΔBDC?

(a) 36 cm2 (b) 45 cm2 (c) 48 cm2 (d) 60 cm2

15. A jar contains 36 liters solution of milk and water in the ratio of 5 : 7 respectively. Out of this, 24 liters solution is taken out and replaced with water. What is the quantity of water (in liters) present in the final solution?

(a) 27 (b) 31 (c) 29 (d) 30

16. The difference between the third and the first term of a geometric progression is 3. If the first term and the common ratio are positive integers, then find the sum of the first three terms of the progression?

(a) 6 (b) 7 (c) 9 (d) 10

17. The first term and the common difference of an arithmetic progression are the same. If the tenth term of the arithmetic progression is 250, then find the sum of its first 10 terms.

(a) 1250 (b) 2750 (c) 1375 (d) 625

18. Ratio of the 15th term to the 4th term of an arithmetic progression is 13 : 6. Find the respective ratio of its first term to the common difference.

(a) 7 : 39 (b) 39 : 7 (c) 7 : 45 (d) 45 : 7

19. In an isosceles triangle ABC, AB = AC. The exterior angle made at vertex A is 140°. Find the angle opposite to the unequal side of the triangle.

(a) 100° (b) 70° (c) 40° (d) Cannot be determined

20. A circle is inscribed in a right-angled triangle with the length of the hypotenuse as 17 cm and the length of one of its side as 8 cm. Find the radius of the circle.

(a) 3 cm (b) 2 cm (c) 5 cm (d) 4 cm

Modal Papers:
Modal Papers of CMAT Exam

Question 1
Find the sum of 14th and 17th terms of an arithmetic progression containing 30 terms, if the sum of its first and last terms is 61.
A

51
B

73
C

82
D

61
Question 2
Three times of a number is 122 less than the five times of an another number. If the sum of both the numbers be 74, find the two numbers.
A

31, 43
B

71, 133
C

19, 55
D

28, 46
Question 3
A car travels first 45 km of a journey at a speed of 15 km/h. It covers the next 50 km at a speed of 25 km/h and the rest25 km at a speed of 15 km/h. What is the average speed (in km/h) of the car during the journey?
A

18
B

20
C

22
D

26
Question 4
In a class, there are 40 boys and their average age is 16 yr. On one boy aged 17 yr, leaving the class and another joining, the average age becomes 15.875 yr. The age of the new boy is
A

12 yr
B

14.5 yr
C

15 yr
D

17 yr
Question 5
Three years ago, the average age of a family of 5 members was 17 yr. A baby having been born, the average of the family is the same today. What is the age of the baby?
A

1 yr
B

2 yr
C

6 months
D

9 months
Question 6
₹ 180 contained in a box consists of ₹ 1, 50 paise and 25 paise coins in the ratio 2 : 3 : 4 What is the number of 50 paise coins?
A

60
B

120
C

150
D

1180
Question 7
Two vessels contain mixture of milk and water in the ratio 5: 1 and 9 :1. They are mixed together in the ratio 1 : 5. Find the ratio of milk and water in the final mixture.
A

2 : 5
B

7 : 2
C

1 : 4
D

8 : 1
Question 8
A shopkeeper purchases an article at a discount of 20% to the marked price and sells it 20% higher than marked price. How much profit does he earn?
A

36%
B

44%
C

50%
D

20%
Question 9
The difference between simple and compound interest on a sum of money at 5% per annum for two years in ₹ 25. What is the sum?
A

₹ 5000
B

₹ 10000
C

₹ 8000
D

₹ 16000
Question 10
After a conditioning camp of Indian cricket team, the final team of 11 players out of a total of 15 players is to be decided such that two players Sourav and Sachin is
A

1755
B

715
C

5005
D

960
Question 11
There are five numbers. HCF of each possible pair is 4 and LCM of all the five numbers is 27720. What will be the product of all the five numbers?
A

6930
B

110880
C

7096320
D

483220
Question 12
If the number 34 x 68 is divisible by 9, find the value of x.
A

3
B

4
C

5
D

6
Question 13
A solid metallic cone of height 10 cm and radius of base 20 cm is melted to make spherical balls each of 4 cm diameter. How many such balls can be made?
A

25
B

50
C

125
D

75
Question 14
Rohan bought certain number of paper sheets for ₹ 3600. He spent ₹ 100 on transportation of the same and ₹ 300 on the labour to make 330 boxes out of them. The boxes were sold at ₹ 14 each. What is the profit per cent?
A

16%
B

16.5%
C

15.5%
D

15%
Question 15
In a race of 600 m, Ajay beats Vijay by 60 m and in a race of 500 m, Vijay beats Anjay by 25 m. By how many metres will Ajay beat Anjay in a race of 400 m?
A

48 m
B

52 m
C

56 m
D

58 m
Question 16
A motorboat whose speed in still water is 15 km/h goes 30 km downstream and comes back in a total 4 h 30 min. Find the speed of the stream.
A

5 km/h
B

2.5 km/h
C

7.5 km/h
D

10 km/h
Question 17
Mina has a son whose wife name is Neha, who is the sister-in-law of Sonu. Ravi is the father of Sanjay, who is the only brother of Sonu. If Neha is the daughter-in-law of Ravi, then how is Sonu related to Mina?
A

Wife
B

Father
C

Daughter
D

Son
Question 18
Find the missing term in the given series2, 15, 41, …, 132, 197, 275
A

90
B

70
C

80
D

85
Question 19
Complete the given series1, 4, 10, 22, 46, …?...
A

84
B

94
C

75
D

64
Question 20
Mohan and Sohan started from the two points A and B, respectively. Mohan walked for 1 km South from point A turned left and walked 1 km from here, he turned right and walked for 2 km and finally turned right and after covering 2 km reached to the point C. Sohan walked 3 km West, turned left and after covering 3 km reached to the point C. Then, how far is the point A from the point B and in which direction?
A

2 km, South
B

2 km, West
C

3 km, North
D

5 km, East
Question 21
Pointing to a photograph of a boy Suresh said, “He is the son of the only son of my mother.” How is Suresh related to that boy?
A

Father
B

Mother
C

Son
D

Daughter
Question 22
Complete the given seriesBOR, E1U, G2Y, J3D, …?..
A

E3P
B

H9N
C

L30J
D

L4J
Question 23
Fill the correct alternative in the following seriesaa_ba_bba_bbaa_b_abb
A

aabaa
B

baaba
C

bbaaa
D

bbaab
Question 24
Rohit walks 30 m towards South, then turns to the right and walks for another 30 m. Then, he turns to his left and walks for another 30 m. He finally turns left and walks for 30 m. How far is he from his initial point?
A

30 m
B

50 m
C

90 m
D

60 m
Question 25
P, Q, R, S, T and U are six friends are sitting in a circle facing the centre. ‘T’ is to the left of ‘S’. ‘R’ is between ‘P’ and ‘Q’. ‘U’ is between ‘T’ and ‘P’. Who is sitting immediate left of ‘Q’?
A

P
B

Q
C

S
D

R
Question 26
In a certain code, ‘FOUND’ is written as ‘FPWQH’. How is ‘PAPER’ is coded in that language?
A

CRTGR
B

TGRRC
C

TGRCR
D

TGCRR
Question 27
Find out the wrong number in the given series.6, 15, 35, 63, 143, 221
A

63
B

143
C

35
D

15
Question 28
Study the following statements and answer the questions given beloe

8, 5, 9 means : ‘you better go’
8, 6, 7 means : ‘better come here’
5, 6, 7 means : ‘you come here’
8, 5, 6 means : ‘better you here’
3, 7, 9 means : ‘come and go’

Which of the following groups of statements are necessary to find the code number of ‘better’?
A

1 and 4
B

1 and 2
C

2 and 4
D

Data inadequate
Question 29
Six friends are sitting in a circle and are facing the center of the circle. Deepa is between Prakash and Pankaj. Priti is between Mukesh and Lalit. Prakash and Mukesh are opposite to each other. Who is sitting opposite to Prakash?
A

Mukesh
B

Deepa
C

Pankaj
D

Lalit
Question 30
A, B, C, D, E, F and G are sitting in a raw facing North. F is to the immediate right of E. E is 4th to the right of G. C is the neighbor of B and D and person who is third to the left of D is at one of ends. Then, who are to the left of C?
A

Only B
B

G, B and D
C

G and B
D

D, E, F and A
Question 31
Statements Some ants are parrots. All the parrots are apples.Conclusions

All the apples are parrots.
Some ants are apples.


A

Only 1 conclusion follows
B

Only 2 conclusion follows
C

Either 1 or 2 follows
D

Neither 1 nor 2 follows
Question 32
Statements Some mangoes are yellow. Some tixo are mangoes.Conclusions

Some mangoes are green
Tixo is yellow.


A

Only 1 conclusion follows
B

Only 2 conclusion follows
C

Either 1 or 2 follows
D

Neither 1 nor 2 follows
Question 33
Vinash has a girlfriend who has expensive tastes. Vinash needs a hike in pay. He will get a raise only, if he pleased his boss. His boss is a miser. Vinash will be depressed, if he doesn’t get a raise. Vinash will go to the temple unless he is depressed.If Vinash is not depressed, then
A

his boss is not a miser
B

his girlfriend is happy
C

his boss is pleased
D

All of the above
Question 34
Statement Severe drought is reported to have set in several parts of the country.Courses of Action

Government should immediately make arrangement for providing financial assistance to those affected.
Food, water and fodder should immediately be sent to all these areas to save the people and cattle.


A

Only 1 follows
B

Only 2 follows
C

Either 1 or 2 follows
D

Neither 1 nor 2 follows
Question 35
The following question contains a passage followed by a question. Read the passage carefully and answer the question.The press should not be afraid of upholding and supporting a just and righteous cause. It should not be afraid of criticizing the Government in a healthy manner. The press has to be eternally vigilant to protect the rights of the workers, backward and suppressed sections of the society. It should also give a balanced view of the things so that people can be helped in the formation of a healthy public opinion.Which of the following statements is best supported by the passage?
A

Press has a great role to play in a democracy
B

The press in the only means to project to the masses the policies of the government
C

The freedom of press is essential for the proper functioning of democracy
D

The press can be used by the Governments as an effective media for the upliftment of the backward section
Question 36
The following question contains a passage followed by a question. Read the passage carefully and answer the question.The only true education comes through the stimulation of the child’s powers by the demands of the social situations in which he finds himself. Through these demands he is stimulated to act as a member of a unity, to emerge from his original narrowness of action and feeling and to conceive himself from the stand point of the welfare of the group to which he belongs.Which of the following statements can be inferred from the passage?
A

Real education will take place, if the children imbibe action and feeling
B

Real education will take place, if the children are physically strong
C

Real education is not provided in our schools today
D

Real education comes through the interaction with social situations
Question 37
The following question contains a passage followed by a question. Read the passage carefully and answer the question.The prevention of accidents makes it necessary not only that safety devices be used to guard exposed machinery but also that mechanics be instructed in safety rules which they must follow for their own protection and that lighting in the plant be adequate.Which of the following statements is best supported by the passage?
A

Industrial accidents are always avoidable
B

Industrial accidents may be due to ignorance
C

Industrial accidents cannot be entirely overcome
D

Industrial accidents can be eliminated with the help of safety rules
Question 38
The following question contains a passage followed by a question. Read the passage carefully and answer the question.Amar Steels, an existing profit-making company enters the capital market with a public issue of 80 lakh shares of ₹ 100 each on 31st December. The company is engaged in ship breaking at ports in Vishakhapatnam and chinnai. It operates a steel-rolling mill in Vishakhapatnam which utilizes the scrap from ships. The company is expanding its ship breaking capacity. Its entitlement to break foreign ships has just been extended to cover Indian flagships.Which of the following statements A, B and C can be inferred from the passage?

Amar Steels had so far not entered the capital market because of its profit-making status.
Amar Steels had so far not entered the capital market because it had no expansion plans.
Amar Steels expects to get Indian ships also for ship breaking.


A

1 and 2
B

2 and 3
C

1 and 3
D

1, 2 and 3
Question 39
The following question contains a passage followed by a question. Read the passage carefully and answer the question.There is a shift in our economy from a manufacturing to a service orientation. The increase in service-sector will require the managers to work more with people rather than with objects and things from the assembly line.Which of the following conclusions may be inferred from the above passage?
A

Managers should have a balanced mind
B

Assembly line will exist in serve organizations
C

Interpersonal skills will become more important in the future work place
D

Manufacturing organisations ignore importance of people
Question 40
The following question contains a passage followed by a question. Read the passage carefully and answer the question.Developed countries have made adequate provisions for social security of senior citizens. State insurers (as well as private ones) offer Medicare and pension benefits to people who can no longer earn. In India, with the collapse of the joint family system, the traditional shelter of the elderly has disappeared and a state faced with a financial crunch is not in a position to provide social security. So, it is advisable that the working population give serious thought to building a financial base for itself.Which one of the following weakens the conclusion drawn in the above passage?
A

India is on a path of development that will take it to a developed country’s status with all its positive and negative implications
B

The insurance sector is undeveloped and trends indicate that it will be extensively privatized in the future
C

The investable income of the working population as a proportion of its total income will grow in the future
D

If the working population builds a stronger financial base, there will be a revival of the joint family system
Question 41
The following question contains a passage followed by a question. Read the passage carefully and answer the question.It is upto our Government and planners to devise ways and means for the mobilization of about ten crore workers whose families total up about forty crore man, women and children. Our agriculture is over-manned. A lesser number of agriculturists would mean more purchasing or spending power to every agriculturist. This will result in the shortage of manpower for many commodities to be produced for which there will be a new demand from a prosperous agrarian class. This shortage will be removed by surplus manpower released from agriculture as suggested above.Which of the following statements is best supported by the passage?
A

Employment in production is more fruitful than the employment in agriculture
B

Indian economy is in a poor shape basically due to improper mobilization of manpower
C

A shift of labour from agricultural sector to the industrial sector would uplift the living standard
D

The industrial sector is labour-deficient while the agricultural sector is over-manned in our country
Question 42
The following question contains a passage followed by a question. Read the passage carefully and answer the question.The newly introduced non-stop city buses are a good new service, though they are really useful only during the morning and evening rush hours. During most of the day, these buses carry few passengers. I request the State Transport Corporation to run these buses as limited-stop services during the non-rush periods of the day.Which of the following statements can be inferred from the passage?

The non-stop buses are small ones that carry only a limited number of passengers.
Non-stop buses are now available at all times.
The competent authority to govern these buses is the State Transport Corporation.


A

Only 1
B

2 and 3
C

Only 3
D

1 and 2
Question 43
The following question contains a passage followed by a question. Read the passage carefully and answer the question.Emerson said that the poet was landlord, sealord and airlord. The flight of imagination made the poet master of land, sea and air. But a poet’s dream of yesterday becomes today an actual achievement and a reality for all men. Even those who invented, improved and perfected the aeroplane could hardly have dreamt of the possibility of flight into outer spaceWhich of the following statements is best supported by the passage?
A

Seemingly impossible imaginations make one a good poet
B

All imaginations become a reality some day
C

What man imagined has never been impossible; he has always turned it a reality through his conception of ideas and sheer hard labour
D

Man has reached the climax of technological development with his exploration into outer space
Question 44
There are two blanks in the following sentence. From the pairs of words given, choose the one that fills the blank most appropriately. The first word in the pair should fill the first blankLet us ……… with due ……….. that ancient India was more civilized than modern India with its satellites in space.
A

admit, humility
B

adopt, certainty
C

suppose, timidness
D

presume, meekness
Question 45
There are two blanks in the following sentence. From the pairs of words given, choose the one that fills the blank most appropriately. The first word in the pair should fill the first blankWe cannot …………. Such a/an ………… act of violence.
A

tolerate, insipid
B

consider, important
C

commit, magnificent
D

pardon, egregious
Question 46
There are two blanks in the following sentence. From the pairs of words given, choose the one that fills the blank most appropriately. The first word in the pair should fill the first blankI would like to ………your attention to the second paragraph of my letter …….. to the terms of sale of the machinery.
A

invite, according
B

withdraw, regarding
C

react, mainly
D

draw, pertaining
Question 47
There are two blanks in the following sentence. From the pairs of words given, choose the one that fills the blank most appropriately. The first word in the pair should fill the first blankShe found ………... with me, that I was wanting in ………..
A

crime, wisdom
B

fault, intelligence
C

sin, ration
D

vice, knowledge
Question 48
There are two blanks in the following sentence. From the pairs of words given, choose the one that fills the blank most appropriately. The first word in the pair should fill the first blankThe ………. Words of the mother comforted the ………. child.
A

harsh, naughty
B

sweet, happy
C

soft, energetic
D

soothing, disappointed
Question 49

1. In the given question, the sentences when properly sequenced, from a coherent paragraph. The first and the last sentences are 1 and 6 and the four in between are labeled A, B, C and D. Choose the most logical order of sentences from the four given choices to construct a coherent paragraph.

1. It was early 1943 and the war in the East was going disastrously. A. How this unlikely bunch of middle aged civilians accomplished their missions makes fascinating reading. B. To stop the sinkings a spy ring had to be broken, a German ship assaulted and a secret radio transmitter silenced. C. U-boats were torpedoing Allied ships in the Indian Ocean faster than they could be replaced D. And the only people who could do the job were a handful of British businessmen in Calcutta-all men not called out for active service. 6. Boarding Party, James Leasor’s latest best – seller is a record of this tale of heroics tinged with irony and Humour.
A

ACDB
B

BDCA
C

CBDA
D

DBAC
Question 50
In the given question, the sentences when properly sequenced, from a coherent paragraph. The first and the last sentences are 1 and 6 and the four in between are labeled A, B, C and D. Choose the most logical order of sentences from the four given choices to construct a coherent paragraph. 1. We and all other animals breathe in and breathe out air the time. A. If we stop breathing, we die. B. It is because of this fact that are able to live. C. It is called the atmosphere. D. All parts of the earth surrounded by air. 6. It is a part of the earth.
A

ABCD
B

ACBD
C

BADC
D

DCBA