If x is even integer, which of the following must be an odd integer?

Guillemots are birds of Arctic regions. They feed on fish that gather beneath thin sheets of floating ice, and they nest on nearby land. Guillemots need 80 consecutive snow-free days in a year to raise their chicks, so until average temperatures in the Arctic began to rise recently, the guillemots’ range was limited to the southernmost Arctic coast. Therefore, if the warming continues, the guillemots’ range will probably be enlarged by being extended northward along the coast.

Which of the following, if true, most seriously weakens the argument?

A portion of an automobile test track is divided into Segment A, Segment B, and Segment C, in that order. In a performance test on a car, the car traveled Segment A at a constant speed of 140 kilometers per hour (km/h). Immediately after this, the car rapidly slowed on Segment B and then traveled on Segment C at a constant speed of 70 km/h. The length of Segment C is 3 times the length of Segment A, and it took a total of 42 minutes for the car to travel both segments A and C. In the table, select the length of Segment A, in kilometers, and select the length of Segment C, in kilometers. Make only two selections, one in each column.­

A drawer contained red socks and black socks. When two socks are drawn at random, the probability that both are red is . What is the minimum number of socks that could be in the drawer ?

Trout populations are rising in United States rivers, which suggests it is time to shift conservation efforts from keeping raw numbers high to having the right kind of trout in the right area. For years, nonnative trout species were used to stock rivers for fishing, and these new arrivals crowded out indigenous species. Conservation should thus focus on restoring habitats, since habitat restoration will enable indigenous trout populations to rebound, and since _________.

Which of the following, if true, would most logically complete the argument?

Consider two circles A and B for which the following is true: the diameter of circle A is 8 times the radius of circle B in centimeters.

In the table below, select the values for the areas of circle A and circle B that are consistent with the information above. Make only two selections, one in each column.

If 3 < x < 100, for how many values of x is the square of a prime number?

Which of the following is equivalent to (10²)ⁿ⁺¹?

The integers 6, 9, 10, and 25 are each factors of the positive integer k. Which of the following integers must also be a factor of k?

I. 54

II. 60

III. 90