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Cochin University of Science and Technology offers many of course in various fields some of them are LLM, MCA, LLB, M.Sc., B.Tech, PH.D, B.Com, M.A. and many other courses. Candidates, who want to study here in this university, have to give Common Admission Test (CAT) for admission in management courses. Candidates who are going to attempt this entrance exam they must know about syllabus, exam pattern and questions regarding the same.

**CUSAT Important Dates :**

Online application form starts from | January, 2016 |

Last date for filling application form | February, 2016 |

Download of CUSAT CAT admit card starts | April, 2016 |

CUSAT exam date | May, 2016 |

**Authorized website :- www.cusat.ac.in**

**CUSAT Exam Pattern : **

CUSAT CAT Exam consists of two following papers :

Paper 1 | Mathematics |

Paper 2 | Chemistry and Physics |

**CUSAT 2016 CAT online Application Syllabus Sample Model Previous Papers**

### CUSAT CAT 2016 Syllabus :

- Mathematics Syllabus :

Mathematics paper covers the following topics :

S.No. | Topic Name |

1 | Sets, Relations and Functions |

2 | Complex Numbers and Quadratic Equations |

3 | Matrices and Determinants |

4 | Permutations and Combinations |

5 | Mathematical Induction |

6 | Sequences and Series |

7 | Limit, Continuity and Differentiability |

8 | Differential Equations |

9 | Three Dimensional Geometry |

10 | Vector Algebra |

11 | Statistics and Probability |

12 | Trigonometry |

13 | Mathematical Reasoning |

- Physics Syllabus

Physics paper covers the following topics :

S.No. | Topic Name |

1 | Physics and Measurement |

2 | Kinematics |

3 | Laws of Motion |

4 | Work, Energy and Power |

5 | Gravitation |

6 | Properties of Solids and Liquids |

7 | Oscillations and Waves |

8 | Electrostatics |

9 | Magnetic Effects of Current and Magnetism |

10 | Electromagnetic Induction and Alternating Currents |

11 | Dual Nature of Matter and Radiation |

12 | Atoms and Nuclei |

13 | Electronic Devices |

14 | Communication Systems |

- Chemistry Syllabus

Chemistry paper covers the following topics :

S.No. | Topic Name |

1 | Some Basic concepts in Chemistry |

2 | States of Matter |

3 | Atomic Structure |

4 | Chemical Bonding and Molecular Structure |

5 | Chemical Thermodynamics |

6 | Solutions |

7 | Chemical Kinetics |

8 | Hydrogen |

9 | Block Elements (Alkali and Alkaline Earth Metals) |

10 | Co-Ordination Compounds |

11 | Environmental Chemistry |

12 | Some Basic Principles of Organic Chemistry |

13 | Hydrocarbons |

14 | Polymers |

15 | Bio Molecules |

16 | Chemistry in everyday life |

17 | General Topics: |

18 | Gaseous and Liquid States |

19 | Extractive Metallurgy |

20 | Energetic |

21 | Electrochemistry |

22 | Chemical Kinetics |

23 | Chemical Equilibrium |

24 | Carbohydrates |

25 | Atomic Structure and Chemical Bonding |

26 | Amino acids and Peptides |

**CUSAT CAT 2016 sample papers for Mathematics, Physics & Chemistry **

**Mathematics :**

Ques-1) The total number of digits used in numbering the pages of a book having 366 pages is

- 732
- 990
- 1098
- 1305

Ans-) 2

Ques-2) In a family, each daughter has the same number of brothers as she has sisters and each son has twice as many sisters as he has brothers. How many sons are there in the family ?

- 2
- 3
- 4
- 5

Ans-) 2

Ques-3)At a dinner party every two guests used a bowl of rice between them, every three guests used a bowl of dal between them and every four used a bowl of meat between them. There were altogether 65 dishes. How many guests were present at the party ?

- 60
- 65
- 90
- None of these

Ans-) 1

Ques-4)Ayush was born two years after his father’s marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ?

- 23 years
- 25 years
- 33 years
- 35 years

Ans-) 1

Ques-5)Three friends had dinner at a restaurant. When the bill was received, Amita paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Tanya paid. What faction of the bill did Veena pay ?

- 1/3
- 3/11
- 12/13
- 5/8

Ans-) 2

Ques-6)In a class, 20% of the members own only two cars each, 40% of the remaining own three cars each and the remaining members own only one car each. Which of the following statements is definitely true from the given statements ?

- Only 20% of the total members own three cars each.
- 48% of the total members own only one car each.
- 60% of the total members own at least two cars each.
- 80% of the total members own at least one car.
- None of these

Ans-) 2

Ques-7)When Rahul was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Rahul’s brother is 6 years older than him and his mother is 3 years younger than his father, how old was Rahul’s sister when he was born ?

- 7 years
- 10 years
- 14 years
- 19 years

Ans-) 2

Ques-8)A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses’ back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 70, how many horses are there ?

- 10
- 12
- 14
- 16

Ans-) 3

Ques-9) Ravi’s brother is 3 years senior to him. His father was 28 years of age when his sister was born while his mother was 26 years of age when he was born. If his sister was 4 years of age when his brother was born, what were the ages of Ravi’s father and mother respectively when his brother was born ?

- 32 years, 23 years
- 32 years, 29 years
- 35 years, 29 years
- 35 years, 33 years

Ans-) 1

Ques-10)In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ?

- 6
- 12
- 18
- 24

Ans-) 2

**Physics :**

Ques-11) Supersonic plane fly with the speed

- less than the speed of sound
- of sound
- greater than the speed of sound
- of light

Ans-) 3

Ques-12) Mach number is used in connection with the speed of

- sound
- aircraft
- spacecraft
- ships

Ans-) 2

Ques-13) On a stationary sail boat, air is blown from a fan attached to the boat. The boat

- moves in opposite direction in which the air is blown
- does not move
- moves in the same direction in which air blows
- spins around

Ans-) 2

Ques-14) Rainbow is due to

- absorption of sunlight in minute water droplets
- diffusion of sunlight through water droplets
- ionisation of water deposits
- refraction and reflection of sunlight by water droplets

Ans-) 4

Ques-15) Stars which appear single to the naked eye but are double when seen through a telescope are

- novas and supernovas
- binaries
- asteroids
- quasars

Ans-) 2

Ques-16) ML2T-2 is the dimensional formula for

- moment of inertia
- pressure
- elasticity
- couple acting on a body

Ans-) 4

**Chemistry :**

Ques-17) The metal does not give H2 on treatment with dilute HCL is

- Zn
- Fe
- Ag
- Ca

Ans-) 3

Ques-18) The number of g-molecule of oxygen in 6.02 x 1024CO molecules is

- 1 gram of molecule
- 0.5 gram of molecule
- 5 gram of molecule
- 10 gram of molecule

Ans-) 3

Ques-19) The most extensive, commercially useful source of thorium as monazite sand occurs in India at

- Orissa coast
- Travancore coast
- West Bengal coast
- Gujarat coast

Ans-) 2

Ques-20) The main active constituent of tea and coffee is

- nicotine
- chlorophyll
- caffeine
- aspirin

Ans-) 3

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