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# Cracking the GRE Premium 2017

## Educators

### Problem 1

If a prime number, $p,$ is squared and the result is added to the next prime number greater than $p$ which of the following integers could be the resulting sum?
Indicate all such integers.
a. 3
b. 4
c. 7
d. 14
e. 58
f. 60
g. 65
h. 69

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### Problem 2

A bookstore will only order books that come in complete cases. Each case has 150 books and $\operatorname{costs} \$ 1,757$Quantity$\mathbf{A}$The number of books that can be ordered for$\$10,550$
Quantity_B
The number of books that can be ordered for $\$ 12,290$a. Quantity A is greater. b. Quantity B is greater. c. The two quantities are equal. d. The relationship cannot be determined from the information given Check back soon! ### Problem 3 If the product of two distinct integers is$91,$then which of the following values could represent the sum of the two integers? Indicate all possible values. a. -92 b. -91 c. 7 d. 13 e. 20 Check back soon! ### Problem 4 What is the value of the ones digit for the sum of all of the distinct prime integers less than$20 ?$a. 4 b. 5 c. 6 d. 7 e. 8 Check back soon! ### Problem 5 During a sale, a store decreases the prices on all of its scarves by 25 to 50 percent. If all of the scarves in the store were originally priced at$\$20,$ which of the following prices could be the sale price of a scarf?
Indicate all such prices.
a. $\$ 8$b.$\$10$
c. $\$ 12$d.$\$14$
a. -46
b. -30
c. -18
d. -6
e. -2

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