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Problem 80

The sum of 5 consecutive even integers is 4 less than the sum of the first 8 consecutive odd counting numbers. What is the smallest of the even integers?

(A) 6 (B) 8 (C) 10 (D) 12 (E) 14

ANSWER: B

Problem 79

AI gets the disease algebritis and must take one green pill and one pink pill each day for two weeks. A green pill costs $1 more than a pink pill, and AI’s pills cost a total of $546 for the two weeks. How much does one green pill cost ?

(A) $7 (B) $14 (C) $19 (D) $20 (E) $39

ANSWER:D

Problem 78

Let n be a 5-digit number, and let q and r be the quotient and the remainder,respectively, when n is divided by 100. For how many values of n is q+r divisible by 11?

(A) 8180 (B) 8181 (C) 8182 (D) 9000 (E) 9090

Problem 77

Sally has five red cards numbered 1 through 5 and four blue cards numbered 3 through 6. She stacks the cards so that the colors alternate and so that the number on each red card divides evenly into the number on each neighboring blue card. What is the sum of the numbers on the middle three cards?

(A) 8 (B) 9 (C) 10 (D) 11 (E) 12

ANSWER:D

Problem 76

Pat is to select six cookies from a tray containing only chocolate chip, oatmeal, and peanut butter cookies. There are at least six of each of these three kinds of cookies on the tray. How many different assortments of six cookies can be selected?

(A) 22 (B) 25 (C) 27 (D) 28 (E) 729

ANSWER:B

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Problem 75

A base-10 three digit number n is selected at random. Which of the following is closest to the probability that the base-9 representation and the base-11 representation of n are both three-digit numerals?

(A) 0.3 (B) 0.4 (C) 0.5 (D) 0.6 (E) 0.7

ANSWER: B

Problem 73

Let n be the largest integer that is the product of exactly 3 distinct prime number d,e, and 10d+e, where d and e are single digits. What is the sum of the digits of n?

(A) 12 (B) 15 (C) 18 (D) 21 (E) 24

ANSWER: A