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  THINK HARD Quiz
Question Number 1
The sum of 2 numbers, 6 and the square root of 32, is written. Jude finds the square root of this. One of these could be the right answer, assuming he solved it correctly.
A. the sum of two and the square root of 5
B. the sum of 5 and the square root of 2
C. the sum of two and the square root of 2
D. the sum of 5 and the square root of 5
E. the sum of 1 and the square root of 10
F. none of the above
Question Number 2
A square of diagonal length 4 root 6 has a sidenength x. x is also the area of an equilateral triangle. The perimeter of the triangle is...
A. 15
B. 12
C. 9
D. 21
E. 18
F. none of the above
Question Number 3
How many sequences exist, with 1 as a first term, so that the sequence is both an arithmetic and geometric progression.
A. 1
B. 2
C. 3
D. 4
E. 5
F. 6
Question Number 4
All integers less than 49 are multiplied. The end result will have how many zeros?
A. 23
B. 18
C. 48
D. 0
E. 1
F. 10
Question Number 5
How many integers, r, exist so that when p is divided by 2r for some prime p, the remainder is r.
A. 0
B. 1
C. 2
D. 3
E. 4
F. Infintely many
Question Number 6
15 nonnegative odd integers, and the result is taken to the power of 900. When the final result is divided by 8, the remainder is
A. 1
B. 2
C. 3
D. 4
E. 5
F. 7
Question Number 7
Mary wishes to find out if 78691is prime. She begins to check starting from 2. What is the highest number she should use to divide this number as she goes to ensure that it is prime or not.
A. 281
B. 280
C. 279
D. 278
E. 277
F. 276





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