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Prep2007E1-DS-69

1479808502_583415f6ec435.png

In triangle ABC above, what is the length of side BC ?

(1) Line segment AD has length 6.
(2) x = 36


Prep2007E1-DS-68

What is the tens digit of the positive integer r ?

(1) The tens digit of ~$\frac{r}{10}$~ is 3.
(2) The hundreds digit of 10r is 6.


Prep2007E1-DS-62

In isosceles ~$\Delta $~RST what is the measure of ~$\angle $~R ?

(1) The measure of ~$\angle $~T is 100°.
(2) The measure of ~$\angle $~S is 40°.


Prep2007E1-DS-61 有讲解

Of the 60 animals on a certain farm, ~$\frac{2}{3}$~ are either pigs or cows. How many of the animals are cows?

(1) The farm has more than twice as many cows as it has pigs.
(2) The farm has more than 12 pigs.


Prep2007E1-DS-55

Malik's recipe for 4 servings of a certain dish requires ~$1\frac{1}{2}$~ cups of pasta. According to this recipe, what is the number of cups of pasta that Malik will use the next time he prepares this dish?

(1) The next time he prepares this dish, Malik will make half as many servings as he did the last time he prepared the dish.
(2) Malik used 6 cups of pasta the last time he prepared this dish.


Prep2007E1-DS-51

What is the total value of Company H's stock?

(1) Investor P owns ~$\frac{1}{4}$~ of the shares of Company H's total stock.
(2) The total value of Investor Q's shares of Company H's stock is $16,000.


Prep2007E1-DS-48

Last Friday each of the pets at a certain veterinary clinic was given either 1 treat or 2 treats. What was the total number of treats given to pets at the clinic last Friday?

(1) The total number of pets at the clinic last Friday was 90.
(2) ~$\frac{2}{3}$~ of the pets at the clinic last Friday were given 2 treats each.


Prep2007E1-DS-38

If r and s are positive integers, is ~$\frac{r}{s}$~ an integer?

(1) Every factor of s is also a factor of r.
(2) Every prime factor of s is also a prime factor of r.


Prep2007E1-DS-6

1479807749_583413055e823.png

On the number line above, is the product of w, x, y, and z negative?

(1) z is positive.
(2) The product of w and x is positive.


Prep2007E2-DS-218

The retail price of a certain refrigerator is 1.6 times its wholesale price. What is the difference between the retail price and the wholesale price of the refrigerator?

(1) The wholesale price of the refrigerator is $200.
(2) The retail price of the refrigerator is $320.


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