GMAT QUANTITATIVE WEEK 3

If the range of the eight numbers 17, 8, 14, 28, 9, 4, 11, and n is 25, what is the difference between the greatest possible value of n and the least possible value of n?

• 1

• 3

• 21

• 26

• 29

In a new housing development, trees are to be planted in a straight line along a 166-foot stretch of sidewalk. Each tree will be planted in a square plot with sides measuring 1 foot. If there must be 14 feet between each plot, what is the maximum number of trees that can be planted?

• 8

• 9

• 10

• 11

• 12

The sum of a sequence of consecutive integers is 1,125 and the median is 45. What is the value of the greatest integer in the sequence?

• 33

• 45

• 56

• 57

• 58

What is the sum of the multiples of 4 between 13 and 125 inclusive?

• 1890

• 1960

• 2200

• 3780

• 4400

The sum of a sequence of six consecutive positive integers is Z. The sum of terms in a different sequence of five consecutive integers is Z − 5. If the greatest term of the five-number sequence is 40, what is the difference between the median term of the five-number sequence and the least term of the six-number sequence?

• 5

• 7

• 8

• 9

• 10

Six children, Arya, Betsy, Chen, Daniel, Emily, and Franco, are to be seated in a single row of 6 chairs. If Betsy cannot sit next to Emily, how many different arrangements of the 6 children are possible?

• 240

• 480

• 540

• 720

• 840

How many organizational structures can be formed that consist of Division A; at least one of Divisions B and C; at least two of Divisions D, E, and F; and at least two of Divisions G, H, J, and K?

• 60

• 90

• 99

• 120

• 132

Of the 5 distinguishable wires that lead into an apartment, 2 are for cable television service and 3 are for telephone service. Using these wires, how many distinct combinations of 3 wires are there such that at least 1 of the wires is for cable television?

• 6

• 7

• 8

• 9

• 10

There are 6 identical chips, each of which has 1 red side and 1 blue side. How many more ways are there to arrange the chips with 3 red sides and 3 blue sides showing than there are to arrange the chips with 4 red sides and 2 blue sides showing?

• 3

• 5

• 6

• 15

• 20

The table shows a summary of the ticket sales from four performances of a certain play. What is the difference between the maximum and the minimum ticket-sale revenue from a single performance?

• $4000

• $5100

• $6200

• $7000

• $9600