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KCET Practice Set 3

Original KCET-style full-length set with 180 unique questions: 60 mathematics, 60 physics, and 60 chemistry.

180 Questions~180 minintermediateKCET

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Answered: 0/180

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Question 1

Solve for x: 5x + 6 = 21.

algebraeasy

Question 2

One root of x² − 12x + 35 = 0 is 5. The other root is:

quadratic equationsmedium

Question 3

The 8th term of an AP with first term 2 and common difference 5 is:

progressionsmedium

Question 4

Slope of the line through (5, 5) and (8, 17) is:

coordinate geometrymedium

Question 5

Value of sin 60° is:

trigonometryeasy

Question 6

A bag contains 5 red and 6 blue balls. Probability of drawing a red ball is:

probabilityeasy

Question 7

Determinant of matrix [[5, 1], [4, 5]] is:

matricesmedium

Question 8

Evaluate: log₂ₐₑₒₓ5(5^5) [log base 5].

logarithmseasy

Question 9

Find 8P3.

permutationsmedium

Question 10

Find 8C2.

combinationsmedium

Question 11

Simple interest on Rs 2500 at 5% p.a. for 4 years is:

simple interesteasy

Question 12

Area of a triangle with base 6 cm and height 5 cm is:

geometryeasy

Question 13

Solve for x: 6x + 7 = 31.

algebraeasy

Question 14

One root of x² − 15x + 54 = 0 is 6. The other root is:

quadratic equationsmedium

Question 15

The 9th term of an AP with first term 3 and common difference 6 is:

progressionsmedium

Question 16

Slope of the line through (6, 6) and (9, 21) is:

coordinate geometrymedium

Question 17

Value of tan 30° is:

trigonometryeasy

Question 18

A bag contains 6 red and 7 blue balls. Probability of drawing a red ball is:

probabilityeasy

Question 19

Determinant of matrix [[6, 2], [5, 6]] is:

matricesmedium

Question 20

Evaluate: log₂ₐₑₒₓ10(10^6) [log base 10].