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Among the N books in Estelle's library, 40 are fiction and the rest are nonfiction. Fifty of the N books are hardcovers and the rest are paperbacks. If 30 of the N books are hardcover fiction books, what is the least possible value of N?
A. 50
B. 60
C. 70
D. 80
E. 90

How many times will the digit 7 be written when listing the integers from 1 to 1000?
(A) 110
(B) 111
(C) 271
(D) 300
(E) 304

A certain clock marks every hour by striking a number of times equal to the hour, and the time required for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stroke and the end of the last stroke is 22 seconds. At 12:00, how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
(A) 72
(B) 50
(C) 48
(D) 46
(E) 44

Last year 26 members of a certain club traveled to England, 26 members traveled to France, and 32 members traveled to Italy. Last year no members of the club traveled to both England and France, 6 members traveled to both England and Italy, and 11 members traveled to both France and Italy. How many members of the club traveled to at least one of these three countries last year?
A) 52
B) 67
C) 71
D) 73
E) 79

What is the smallest integer n for which 25^n > 5^12 ?
(A) 6
(B) 7
(C) 8
(D) 9
(E) 10

What number is 108 more than two-thirds of itself?
A. 72
B. 144
C. 162
D. 216
E. 324

No nation can long survive unless its people are united by a common tongue. For proof, we need only consider Canada, which is being torn asunder by conflicts between French-speaking Quebec and the other provinces, which are dominated by English speakers.

Which of the following, if true, most effectively challenges the author’s conclusion?

(A) Conflicts over language have led to violent clashes between the Basque-speaking minority in Spain and the Spanish-speaking majority.

(B) Proposals to declare English the official language of the United States have met with resistance from members of Hispanic and other minority groups.

(C) Economic and political differences, along with linguistic ones, have contributed to the provincial conflicts in Canada.

(D) The public of India, in existence sine 1948, has a population that speaks hundreds of different, though related, languages.

(E) Switzerland has survived for nearly a thousand years as a home for speakers of three different languages.

In a graduating class of 232 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology?
A. 144
B. 119
C. 113
D. 88
E. 31

How many integers are there between 1 and 1000, inclusive, that are not divisible by either 11 or 35?
A. 884
B. 890
C. 892
D. 910

How many positive three-digit integers are multiples of 7?
A. 105
B. 106
C. 127
D. 128
E. 142