DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 146)

Problem 1 :

The figure above shows three squares with areas of 16, 64 and k respectively. If line ℓ passes through the vertex of each square, what is the value of k?

A)  81

B)  144

C)  196

D)  256  

Solution :

Problem 2 :

In the figure above, two circles have a common center O, and two rays from the center intercept the circles at points P, Q, R and S. The measure of the angle POQ is 2π/5 and the area of the shaded region of sector OPQ is 20π. If OP : PR = 2 : 3, what is the lenth of the minor arc RS? 

Solution :

Problem 3 :

If the average of a and 2b is 26, the average of b and 2c is 41, and the average of c and 2a is 23, what is the average of a, b and c?

A)  12

B)  16

C)  20

D)  24

Solution :

Problem 4 :

g(x) = 2f(-3x + 5) – 1

In the equation above, if g(x) = 6x + 3, what is f(x) equal to? 

A)  x + 7

B)  –x + 7

C)  –x – 7

D)  x – 5

Solution :

Problem 5 :

For all values of  a and b, let a ∇ b defined by

a∇b = ab – a + 1

If k∇(k – 2) = 2∇3, what is the positive value of k?

Solution :

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Digital SAT Problems and Solutions (Part - 1)

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