DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 136)

Problem 1 :

The total resistance R, measured in ohms, of a parallel circuit with two resistors is given by

Where R₁ and R₂ are the resistances, in ohms, of the first and second resistors, respectively. In a parallel circuit with two resistors, the first resistor has twice the resistance of the second. The total resistance of the circuit is what fraction of the resistance of the second resistor?    

Solution :

Problem 2 :

In the figure above E and F are the mid points of two sides of a rectangle. If the area of ΔCEF is 10, what is the area of the shaded region?

A)  15

B)  20

C)  25

D)  30

Solution :

Problem 3 :

The graphs of a linear function f and a quadratic function g are shown in the xy-plane above. If f[g(k)] = 3, what is the value of|k|?

Solution :

Problem 4 :

Twenty grams of solution P is 10% alcohol and 30 grams of solution Q is 20% alcohol by mass. If these two solutions are mixed together, what is the percent of alcohol in the mixture ?

Solution :

Problem 5 :

In the figure above, a circle is inscribed in ΔPQR. If PQ = 3 and PR = 4, what is the radius of the circle?

Solution :

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