91Ó°ÊÓ

The 71 st term of \(30,27,24,21, \cdots,\) is (A) 5325 (B) 240 (C) 180 (D) \(-180\) (E) \(-183\)

If \(4.05^{p}=5.25^{q},\) what is the value of \(\frac{p}{q} ?\) (A) \(-0.11\) (B) 0.11 (C) 1.19 (D) 1.30 (E) 1.67

A cylinder has a base radius of 2 and a height of 9. To the nearest whole number, by how much does the lateral area exceed the sum of the areas of the two bases? (A) 101 (B) 96 (C) 88 (D) 81 (E) 75

The lengths of the sides of a triangle are 23, 32, and 37. To the nearest degree, what is the value of the largest angle? (A) \(71^{\circ}\) (B) \(83^{\circ}\) (C) \(122^{\circ}\) (D) \(128^{\circ}\) (E) \(142^{\circ}\)

Two cards are drawn from a regular deck of 52 cards. What is the probability that both will be 7s? (A) 0.149 (B) 0.04 (C) 0.012 (D) 0.009 (E) 0.005

A right circular cone whose base radius is 4 is inscribed in a sphere of radius 5 . What is the ratio of the volume of the cone to the volume of the sphere? (A) \(0.222 : 1\) (B) \(0.256 : 1\) (C) \(0.288 : 1\) (D) \(0.333 : 1\) (E) \(0.864 : 1\)

A magazine has 1,200,000 subscribers, of whom 400,000 are women and 800,000 are men. Twenty percent of the women and 60 percent of the men read the advertisements in the magazine. What is the probability that a randomly selected subscriber reads the advertisements? (A) 0.30 (B) 0.36 (C) 0.40 (D) 0.47 (E) 0.52

Which of the following statements is logically equivalent to: "If he studies, he will pass the course." (A) He passed the course; therefore, he studied. (B) He did not study; therefore, he will not pass the course. (C) He did not pass the course; therefore he did not study. (D) He will pass the course only if he studies. (E) None of the above.

In the equation \(x^{2}+k x+54=0,\) one root is twice the other root. The value(s) of \(k\) is (are) (A) \(-5.2\) (B) 15.6 (C) 22.0 (D) \(\pm 5.2\) (E) \(\pm 15.6\)

A point has rectangular coordinates \((3,4) .\) The polar coordinates are \((5, \theta) .\) What is the value of \(\theta ?\) (A) \(30^{\circ}\) (B) \(37^{\circ}\) (C) \(51^{\circ}\) (D) \(53^{\circ}\) (E) \(60^{\circ}\)