Arithmetic

In the two-digit integers 3 □ ◻ and 2 △ △ ,the symbols □ ◻ and △ △ represent different digits, and the product (3 □ ◻ )(2 △ △ ) is equal to 864. What digit does □ ◻ represent ? (1) The sum of □ ◻ and △ △ is 10. (2) The product of □ ◻ and △ △ is 24

k, n, 12, 6, 17 What is the value of n in the list above? (1) k < n (2) The median of the numbers in the list is 10.

If x, y, and z are three-digit positive integers and if x = y + z, is the hundreds digit of x equal to the sum of the hundreds digits of y and z ? (1) The tens digit of x is equal to the sum of the tens digits of y and z. (2) The units digit of x is equal to the sum of the units digits of y and z.

A, B, C, and D are points on a line. If C is the midpoint of line segment AB and if D is the midpoint of line segment CB, is the length of line segment DB greater than 5? (1) The length of line segment AC is greater than 8 (2) The length of line segment CD is greater than 6

Each of the letters in the table above represents one of the numbers 1, 2, or 3, and each of these numbers occurs exactly once in each row and exactly once in each column. What is the value of r? (1) v + z = 6 (2) s + t + u + x = 6

Is the positive two-digit integer N less than 40 ? (1) The units digit of N is 6 more than the tens digit. (2) N is 4 less than 4 times the units digit.

If w + z = 28, what is the value of wz (1) w and z are positive integers (2) w and z are consecutive odd integers (1) w and z are positive integers (2) w and z are consecutive odd integers

Is the product of two positive integers x and y divisible by the sum of x and of y ? (1) x=y (2) x=2

On a map, 1/2 inch represents 100 miles. According to this map, how many miles is City X from City Y ? (1) City X is 3 inches from City Y on the map. (2) Cities X and Y are each 300 miles from City Z.

Joanna bought only $0.15stampsand$0.29 stamps. How many $0.15 stamps did she buy? (1) She bought $4.40 worth of stamps. (2) She bought an equal number of $0.15stampsand$0.29 stamps.

What is the value of the two-digit number x? (1) The sum of the two digits is 4. (2) The difference between the two digits is 2.

Exactly how many bonds does Bob have? (1) Of Bob’s bonds, exactly 21 are worth at least $5,000 each (2) Of Bob’s bonds, exactly 65 percent are worth less than $5,000 each

What was the amount of money donated to a certain charity? (1) Of the amount donated, 40 percent came from corporate donations. (2) Of the amount donated, $1.5 million came from noncorporate donations.

What is the Average (mean) of x, y, and z? (1) X + Y = 5 (2) Y + Z =7