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KCET Practice Set 4

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

180 Questions~180 minadvancedKCET

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Question 1

Solve for x: 3x + 11 = 35.

algebraeasy

Question 2

One root of x² − 22x + 120 = 0 is 10. The other root is:

quadratic equationsmedium

Question 3

The 8th term of an AP with first term 7 and common difference 3 is:

progressionsmedium

Question 4

Slope of the line through (4, 3) and (7, 30) is:

coordinate geometrymedium

Question 5

Value of sin 150° is:

trigonometryeasy

Question 6

A bag contains 10 red and 11 blue balls. Probability of drawing a red ball is:

probabilityeasy

Question 7

Determinant of matrix [[3, 1], [5, 10]] is:

matricesmedium

Question 8

Evaluate: log₂ₐₑₒₓ10(10^3) [log base 10].

logarithmseasy

Question 9

Find 13P2.

permutationsmedium

Question 10

Find 13C2.

combinationsmedium

Question 11

Simple interest on Rs 3500 at 10% p.a. for 5 years is:

simple interesteasy

Question 12

Area of a triangle with base 11 cm and height 10 cm is:

geometryeasy

Question 13

Solve for x: 4x + 12 = 48.

algebraeasy

Question 14

One root of x² − 9x + 18 = 0 is 3. The other root is:

quadratic equationsmedium

Question 15

The 9th term of an AP with first term 8 and common difference 4 is:

progressionsmedium

Question 16

Slope of the line through (5, 4) and (8, 10) is:

coordinate geometrymedium

Question 17

Value of cos 150° is:

trigonometryeasy

Question 18

A bag contains 3 red and 12 blue balls. Probability of drawing a red ball is:

probabilityeasy

Question 19

Determinant of matrix [[4, 2], [2, 3]] is:

matricesmedium

Question 20

Evaluate: log₂ₐₑₒₓ2(2^4) [log base 2].