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COMEDK Practice Set 6

Original COMEDK-style Set 6 (paper-pattern aligned) with 180 questions: 60 Mathematics, 60 Physics, and 60 Chemistry at balanced moderate level.

180 Questions~180 minintermediateCOMEDK

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Question 1

If roots of x² − 5x + 6 = 0 are α and β, value of α·β is:

algebramedium

Question 2

Sum of first 12 terms of AP with a=5, d=2 is:

progressionsmedium

Question 3

Value of 6C3 is:

combinatoricsmedium

Question 4

If y = x^3, then dy/dx at x=2 equals:

differential calculusmedium

Question 5

Integral from 0 to 3 of 3x dx is:

integral calculusmedium

Question 6

Area of circle of radius 5 is:

coordinate geometryeasy

Question 7

If slopes are m1=4 and m2=-1, then m1*m2 is:

straight lineseasy

Question 8

Determinant of matrix [[2, 1], [1, 6]] is:

matricesmedium

Question 9

Value of 8P3 is:

permutationsmedium

Question 10

Two balls are drawn without replacement from a bag having 4 red and 7 blue balls. Probability that both are red is:

probabilityhard

Question 11

Modulus of complex number 6 + 4i is:

complex numbersmedium

Question 12

Dot product of vectors (1, 2) and (3, 3) is:

vectorsmedium

Question 13

Value of sin²θ + cos²θ is:

trigonometryeasy

Question 14

If log10(x) = 4, then x equals:

logarithmseasy

Question 15

Limit of (x^2 - 16)/(x - 4) as x tends to 4 is:

limitshard

Question 16

If roots of x² − 8x + 15 = 0 are α and β, value of α·β is:

algebramedium

Question 17

Sum of first 12 terms of AP with a=4, d=3 is:

progressionsmedium

Question 18

Value of 7C2 is:

combinatoricsmedium

Question 19

If y = x^4, then dy/dx at x=2 equals:

differential calculusmedium

Question 20

Integral from 0 to 3 of 2x dx is: