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Answer KeysENGINEERING MATHEMATICS

Topic 01- Linear Algebra

01.1- Property based problem

Level 00 01 02 03 04

D A - B

Level 01 01 02 03 04 05 06 07

B C A D A C C

Level 02 01 02 03

A D B

Level 03 01 02 03 04 05 06

D B A B - D

01.2- Determinant

Level 00 01

DLevel 01 01 02

B A

Level 02 01 02 03

B A B

01.3- Adjoint-Inverse

Level 00 01

A

Level 01 01

ALevel 02 01 02 03 04 05 06 07

D A A A A A B

01.4- Eigen Values &Eigen vectors

Level 00 01 02 03 04 05 06 07 08

A A B C B C - C

Level 01 01 02 03 04 05 06 07 08 09 10 11 12

A C D D A - B D B A D A

Level 02 01 02 03 04 05 06 07 08 09 10 11 12

C B D A B C B A C B B B13 14 15 16 17

D B A A C

Level 03 01 02 03 04 05 06 07

B A A A - A B

01.5- Rank

Level 00 01 02 03

A C C

Level 01 01 02 03 04 05

A C B C A

Level 02 01 02

D C

Level 03 01 02 03

C B A

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01.6- solution of linear equation

Level 00 01 02 03 04 05

B C B - C

Level 02 01 02 03 04 05 06 07 08 09 10 11 12

B B B D A B D B D A - D

13 14 15 16 17 18 19

- C B B B C A

Level 03 01 02 03 04 05B B B B B

01.7- Miscellaneous

Level 00 01 02

B A

Level 01 01 02 03 04 05 06 07

C C B B A C D

Level 02 01 02 03 04 05 06 07 08 09 10 11 12

- B C C A A A B A C D B

Level 03 01 02 03 04 05 06 07

A B C B B C A

01.8

Level 01 01 02

C A

Level 02 01

D

Topic 02- Calculus

2.1 Mean value theorem

Level 01 01

C

Level 03 01

B

2.2 Maxima and minima

Level 00 01

BLevel 02 01 02 03 04 05 06 07 08 09

B A C A A A C A A

Level 03 01 02 03 04 05 06

- - B C B B

2.3 Differential Calculus

Level 00 01

A

Level 01 01 02

B BLevel 02 01 02

A A

Level 03 01 02 03 04 05

C C C A C

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2.4 Integral Calculus

Level 00 01 02

C D

Level 01 01 02 03 04

- A A D

Level 02 01 02 03 04 05 06 07 08 09 10 11

A C D C C A A A A B B

Level 03 01 02 03 04 05 06

- D B A D D

2.5 Limit and continuity

Level 00 01 02 03 04 05 06 07 08 09 10 11 12

B D D A C B B A C B D D

Level 01 01 02 03 04 05 06

B A C A B C

Level 02 01 02 03 04 05 06

C D A b C B

Level 03 01 02 03 04

- A D C

2.6 Series

Level 00 01 02

B B

Level 01 01 02

B A

Level 02 01 02 03 04

B B B B

Level 03 01 02 03 04

B C A D

2.7 Vector calculus

Level 00 01 02

D A

Level 01 01 02 03 04 05 06 07 08 09 10

A A D D B D D D B A

Level 02 01 02 03 04 05 06 07 08 09 10 11 12

B D B C C C D D A B B B

13 14 15 16 17 18 19 20C D C A A A D A

Level 03 01 02 03 04 05 06 07 08 09

B - C A A B C A A

2.8 Miscellaneous

Level 03 01 02 03 04 05 06 07 08 09

D B B B A A A A D

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2.9

Level 00 01 02 03 04

C B C D

Level 01 01

D

Level 02 01 02 03

A B A

Level 03 01 02 03 04 05 06

C A C D D A

Topic 03- Differential equations

3.1 - Degree and order of DE

Level 00 01 02

C B

Level 01 01 02 03 04

A D A A

Level 02 01 02 03 04 05 06 07 08

A D B A B A C B

Level 03 01 02 03 04

B - A A

3.2 - Variable separable method

Level 02 01

A

3.3 - Homogeneous equation

No Question for Any Type Level

3.4 - Leibnitz linear equation

Level 02 01

B

Level 03 01 02 03

- B D

3.5 - Second Order DE

Level 02 01 02 03 04 05 06 07 08 09

A A B A C - C C C

Level 03 01

A

3.6 - Multi degree DE

Level 02 01

A

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3.7 Partial DE

Level 01 01 02

C C

Level 02 01 02 03

A D A

Level 03 01

B

3.8

Level 02 01

A

3.9

Level 00 01

B

Level 01 01 02 03 04 05 06 07 08

C - B A C D B D

Level 02 01 02 03 04 05 06 07 08 09 10 11 12C C A D - B C A A D C C

13 14 15 16 17 18

C D C A B A

Level 03 01 02 03 04 05 06 07 08

C - - C A C C B

Topic 04- Complex Variable

Level 00 01 02 03 04

C D D DLevel 01 01 02 03 04 05 06

B B A B D D

Level 02 01 02 03 04 05 06 07 08 09 10

B A C A C B A B A A

Level 03 01 02 03 04 05 06

B B B C B D

4.1

Level 00 01

DLevel 01 01 02 03 04

D B A A

Level 02 01 02 03 04 05 06 07 08 09

D A B B A C D C D

Level 03 01 02 03 04

A A A B

Topic 05- Probability and Statistics

5.1 Permutation

Level 00 01 02

B C

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5.2 Combination

Level 01 01

D

Level 02 01

D

Level 03 01 02 03 04 05

B C C C C

5.3 - Probability related problems

Level 00 01 02 03

D B D

Level 01 01 02 03 04 05 06 07 08 09 10 11 12

D D D C B A D A C D C D

13

A

Level 02 01 02 03 04 05 06 07

D B B B D C C

Level 03 01 02 03 04 05 06 07 08 09C A C C A D C D B

5.4 - Bays theorems

5.5 - Probability distribution

Level 00 01 02

A B

Level 01 01 02 03 04

A B A C

Level 02 01D

Level 03 01

B

5.6 - Random Variable

Level 00 01 02 03 04

B D - A

Level 01 01 02 03 04 05 06 07

C A B A A D A

Level 02 01 02 03

D D ALevel 03 01 02 03 04 05

D C B C D

5.7 Expcetion

Level 01 01

A

Level 02 01

C

Level 03 01

D

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5.8 Set theory

Level 03 01

C

Topic 06 - Numerical Methods

6.1 - Clubbed problem

Level 01 01

-

Level 02 01 02 03

B C C

Level 03 01 02 03

C A C

6.2 - Roots finding (Bi-Section method)

Level 01 01

B

6.3 - Roots finding (Sampson 1/3 rule)

Level 02 01

A

6.4 - Roots finding (Secent Method)

Level 00 01

D

Level 01 01 02 03 04 05 06 07 08B C A - - A C -

Level 02 01 02 03 04 05 06 07 08

D C C B B A - -

Level 03 01 02 03

- - B

6.5 Differential

Level 00 01

-

Level 02 01-

6.6 Integration

Level 00 01

C

Level 01 01

C

Level 03 01

-

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Topic 07- Transform Theory

Level 00 01 02 03 04 05 06 07 08 09 10

B C B B A A D A B C

Level 01 01 02 03 04 05 06 07 08

- D B D A B A C

Level 02 01 02 03 04 05 06 07 08 09 10 11 12

- D C D C - C A D B B A13 14

B A

Level 03 01 02 03 04 05 06 07 08 09 10

- D B - - C D A A A