Each dial has marked on its perimeter three points that are at equal distances around the perimeter from each other.
Going clockwise on each dial the points marked on dial 1 are N, O, and P, and the points marked on dial 2 are X, Y, and Z.
12. Which of the following lists the points on a dial in an order in which they could pass consec- utively through the point of contact between the dials?
(A) O, N, P (B) O, P, O (C) X, Z, Y
(D) Y, X, Z (E) Z, X, Z
13. If points O and Z are just meeting at the point of contact between the dials, and if dial 1 spins at the same speed as dial 2, what is the smallest number of revolutions of each dial that will bring O and Z together again?
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5
14. If points N and Y are just meeting at the point of contact between the dials, and if dial 1 spins at the same speed as dial 2, which of the following pairs of points will also meet in the course of the next full revolution of the dials?
(A) N and Z (B) O and X (C) O and Z
(D) P and X (E) P and Y
15. Which of the following is a possible sequence of pairs of points meeting consecutively at the point of contact between the dials if dial 1 spins at the same speed as dial 2?
(A) N and O followed by X and Z
(B) N and X followed by O and Z
(C) O and X followed by N and X
(D) O and Y followed by N and Z
(E) P and Z followed by P and X
16. If points P and X are just meeting at the point of contact between the dials, and if dial 2 spins at exactly double the speed of dial 1, which of the following pairs of points will be the next pair to meet at the point of contact?
(A) N and Y (B) N and Z (C) O and X
(D) O and Z (E) P and Y
No.5-3 SECTION 5
Questions 1-4
All padlocks manufactured by the Guaranteed Com- bination Lock Company have a combination that consists of four elements-a one-digit number, a two-digit number, and two letters of the alphabet.
Each combination conforms to the following rules:
(1) The one-digit number is the first element in the combination.
(2) The two letters of the alphabet are not adjacent elements in the combination.
(3) The two-digit number consists of two different numerals.
(4) The two-digit number has no numerals in common with the one-digit number.
1. Which of the following is a sequence of elements that conforms to the rules?
(A) 6-73-D-M (B) 2-X-37-G
(C) 39-H-Y-6 (D) H-24-K-4
(E) 9-B-89-B
2. Which of the following must always be true of a combination?
(A) The second element is a two-digit number.
(B) The third element is a letter of the alphabet.
(C) The third element is a one-digit number.
(D) The fourth element is a two-digit number.
(E) The fourth element is a letter of the alphabet.
3. Which of the following CANNOT be the first element of a combination that has K-53-J as its second, third, and fourth elements?
(A) 5 (B) 6 (C) 7 (D) 8 (E) 9
4. The sequence of elements 9-K-M-29 violates which of the rules given?
(A) Rule 2 only (B) Rule 3 only
(C) Rule 2 and rule 4 only
(D) Rule 3 and rule 4 only
(E) Rule 2, rule 3, and rule 4
5. If your radio was made after 1972, it has a stereo feature.
The statement above can be deduced logically from which of the following statements?
(A) Only if a radio was made after 1972 could it have a stereo feature.
(B) All radios made after 1972 have a stereo feature.
(C) Some radios made before 1972 had a stereo feature.
(D) Some stereo features are found in radios made after 1972.
(E) Stereo features for radios were fully developed only after 1972.
6. Rule 1 of Game X provides that anyone who refuses to become a player in Game X shall at the moment of refusal be assessed a ten-point penalty in the game.
Which of the following claims is implicit in Rule 1?
(A) All those who agree to play Game X will achieve scores higher than the scores of those who were assessed a penalty under Rule 1.
(B) A person can avoid a ten-point penalty by initially agreeing to become a player and then withdrawing after the game is under way.
(C) The