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Manhattan Is Hector taller than Charley?(1) Hector is 5 feet 7 inches tall.(2) When Hector stands on a 3-inch thick book, he is one inch taller than Charley.
Manhattan If Sarah was 21 years old exactly 5 years ago, how old was Larry exactly 9 years ago? (1) Larry is now twice Sarah's age. (2) Twelve years ago, Jill was 6 years older than Sarah and 20 years younger than Larry.
Manhattan If x and y are integers, is 5x + y divisible by 5?(1) x is divisible by 5.(2) y is divisible by 5.
Manhattan If x and y are positive integers, what is the ratio of x to y? (1) 5x = 2y(2) 2y = 7x – 8
Manhattan Is x a multiple of 4? (1) x + 2 is divisible by 2 (2) 6 is a factor of 3x
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In the -plane shown, the shaded region consists of all points that lie below the graph of and above the x-axis. Does the point (not shown) lie in the shaded region if ?

(1)

(2)

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A commuter has a total of 40 tokens this month to ride the bus or the subway. Each bus token cost $3. Each subway token cost $2. How many subway tokens does the commuter have?

(1) The average (arithmetic mean) cost of each token the commuter has is $2.25.

(2) The commuter paid a total of $90 for all tokens this month.

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What is the value of ?

(1)

(2)

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What is the area of rectangle ?

(1) Each diagonal of  has length .

(2) The perimeter of  is .

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A rectangular quilt is shown above. The width of the quilt is feet and the quilt's border has uniform width. What are the dimensions of the quilt?

(1) The area of the border is square feet.

(2) The perimeter of the inner rectangle is feet.

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If a and b are positive integers, what is the remainder when  is divided by 10?

(1) a is odd

(2) b=3

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Is x greater than ?

(1) The sum of x and y is strictly greater than .

(2) y is less than .

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A box contains baseball caps. Each cap is either yellow or blue and has a letter from to on it. If one cap is to be selected at random from the box, what is the probability that the cap selected will either be yellow or have the letter on it?

(1) The probability the cap will be yellow plus the probability the cap will have the letter on it is .

(2) The probability the cap will both be yellow and have the letter on it is .

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Each of the ice pops in a box is red, purple, or orange. Cherry and strawberry flavored ice pops are red, grape flavored ice pops are purple, and orange flavored ice pops are orange. If one ice pop is selected at random from the box, what is the probability that the selected ice pop will be grape flavored or orange flavored?

(1) The probability that the ice pop will be purple is .

(2) The probability that the ice pop will be red is .

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What is the value of s^2-t^2 ?

(1) (s+t)(s-t)=3

(2) s-t=<font color='#FE8080'>1</font>

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If , , and are all positive integers and , is an integer?

(1)

(2)

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Is between and on the number line?

(1) is to the left of on the number line.

(2) is negative.

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Is between and on the number line?

(1) is to the right of on the number line.

(2) is to the left of on the number line.

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Last week, Kasha drove her car a total of 225 miles. Each of these seven days she drove a whole number of miles and on no two days did she drive the same number of miles. If on Sunday Kasha drove the second greatest number of miles, did she drive more than 60 miles on Sunday?

(1) Kasha drove less than 70 miles on Sunday.

(2) Kasha drove 150 miles on Friday.

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