DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 104)

Problem 1 :

Two cylinders shown above have the same volume. If the radius of cylinder II is twice the radius of cylinder I and the height of cylinder I is 10, what is the height h of cylinder II?

Solution :

Problem 2 :

One of the factors of the function f(x) is x + k. Given that k is a positive integer, what is the value of k?

Solution :

Problem 3 :

g(x) = px² – 8x + q

The function g is defined above, where p and q are constants. The graph of y = g(x) is parabola that has a vertex at the point (m, n), where m and n are constants. If g(-6) = g(-1) and q > 0, which of the following must be true?

A)  I only

B)  II only

C)  I and II

D)  Neither I nor II

Solution :

Problem 4 :

(2x - 6k)(2x² + 5x - k)(3x² + 4x - 4k) = 0

In the given equation, k is a positive constant. The product of the solutions of the equation is 54/125. What is the value of r?

Solution :

Problem 5 :

If 5m – x is a factor of x³ – 45rm³, where r and m are constants and m > 0, what is the value of r?

Solution :

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Digital SAT Problems and Solutions (Part - 1)

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