KCET 2013 Previous Year Question Paper for Maths, Physics, Chemistry & Biology

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KCET 2013 Maths Question Paper

A solved Sample of KCET 2013 Maths Paper is provided below.

Q1: What will be the remainder when 10¹⁰ . (10¹⁰+1) . (10¹⁰+2) is divided by 6?

Options: 

1. 2

2. 4

3. 6

4. 0

Objective Answer: (d)

Solution: Starting with 10¹⁰

Rem \[(\frac{10^{10}}{6}) = 4^{10}\]

\[\Rightarrow Rem  \frac{10^{10} . (10^{10} + 1) . (10^{10} + 2)}{6} = Rem (\frac{4^{10} \times (4^{10} + 1) \times (4^{10} + 2)}{6})\]

Now, looking at the cyclicity of \[\frac{4^{n}}{6}\]:

Rem \[(\frac{4^{1}}{6})\] = Rem \[(\frac{4^{2}}{6})\] =.....= Rem \[(\frac{4^{n}}{6})\] = 1

So, \[Rem (\frac{4^{10} \times (4^{10} + 1) \times (4^{10} + 2)}{6}) = Rem (\frac{1 \times (1 + 1) \times (1 + 2)}{6}) = Rem (\frac{6}{6}) = 0\]

Q2: A regular graph has 15 vertices, and the sum of their degree is 60. Find the degree of each vertex.

1. 5

2. 4

3. 2

4. 3

Objective Answer: (b)

Solution: We are given with no of vertices, V = 15, and Sum (S) = 60

Let the degree of each vertex = x

So, V *  x = S 15 * x = 60

Or, x = 4

KCET 2013 Physics Question Paper

Sample Solved KCET 2013 Physics Paper is provided below.

Q1: If radii of curvature of a converging lens are in the ratio of 1: 2, and its focal length is 6 cm, and the refractive index is 1.5, then find the radii of curvature.

1. 9 and 18 cm

2. 6 and 12 cm

3. 3 and 6 cm

4. 4.5 and 9 cm

Objective Answer: (d)

Q2: Which among the following is made by quarks? 

1. Neutron

2. Positron

3. Proton

4. n-meson

Objective Answer: (b)

KCET 2013 Chemistry Question Paper

Sample Solved KCET 2013 Chemistry Paper is provided below.

Q1: Which reagent used to distinguish between aldehyde and benzaldehyde?

1. Tollen’s reagent

2. Semicarbazide

3. Fehling’s Solution

4. 2,4-dinitrophenyl hydrazine

Objective Answer: (d): 2,4-dinitrophenyl hydrazine

Q2: What is the number of antibonding electrons present in O2- molecular ions?

1. 8

2. 5

3. 4

4. 6

Objective Answer: (b)

KCET 2013 Biology Question Paper

Sample Solved KCET 2013 Biology Paper is provided below.

Q1: What taxonomic term can be suggested for any rank in the classification?

1. Class

2. Order

3. Species

4. Taxon

Objective Answer: (d)

Q2: What is Tikka?

1. A Fungal Disease

2. A Protozoan Disease

3. A Viral Disease

4. A Bacterial Disease

Objective Answer: (a)

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