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Ready4

The primary purpose of this passage is to

Ready4

In a certain field, solar panels are in rows. Each row has the same number of solar panels, and the number of rows is 5 less than the number of solar panels in a row. How many solar panels are in a row?

(1) If one more solar panel is added to each row, 6 more solar panels will be added.

(2) The field can fit no more than 9 rows of solar panels.

Ready4

A farmer planted the same number of pepper plants in several rows. The number of rows is 3 less than the number of pepper plants in each row. How many pepper plants are in each row?

(1) The farmer planted fewer than 10 rows of pepper plants.

(2) The farmer planted a total of 88 pepper plants.

Ready4

A youth group will select 1 of 6 eligible members to attend a summer conference and 2 of 9 eligible members to attend a winter conference. If none of the members is eligible to attend both conferences, how many different sets of 3 members are there to attend the two conferences?

Ready4

A restaurant delivered a total of 55 pizzas to six different customers one night, and no two customers had the same number of pizzas delivered. Of the six customers, if Customer A had the second greatest number of pizzas delivered, did Customer A have fewer than 9 pizzas delivered?

(1) One of the six customers had 20 pizzas delivered.

(2) Customer A had more than 5 pizzas delivered.

Ready4

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.

Ready4

A company will select 1 of 8 eligible employees to work its second shift and 2 of 12 eligible employees to work its third shift. If none of the employees is eligible to work both shifts, how many different sets of 3 employees are there to work these shifts?

Ready4

A hotel manager will select 1 of 10 eligible families to receive a free night’s stay and 2 of 15 eligible families to receive a free dinner in the hotel’s restaurant. If none of the families is eligible to receive both free services, how many different ways are are there of selecting 3 families to receive a free service?

Ready4

Set R consists of 17 consecutive integers. If −3 is the smallest integer in set R, what is the range of positive integers in set R?

Ready4

A set of 17 different integers has a median of 44 and a range of 45. What is greatest possible integer that could be in this set?

Ready4

A set of 19 different integers has a median of 19 and a range of 20. What is greatest possible integer that could be in this set?

Ready4

A set of 13 different integers has a median of 40 and a range of 50. What is greatest possible integer that could be in this set?

Ready4

The ratio of plants Keisha has to plants Sawyer has is 1:5. After Sawyer gives Keisha 5 plants, the ratio of plants Keisha has to plants Sawyer has will be 2:7. How many more plants will Sawyer have than Keisha after the 5 plants are given?

Ready4

The ratio of tokens Bo has to tokens Huan has is 3:11. After Huan gives Bo 50 tokens, the ratio of tokens Bo has to tokens Huan has will be 5:9. How many more tokens will Huan have than Bo after the 50 tokens are given?

Ready4

The ratio of coupons Troy has to coupons Padma has is 9:4. After Troy gives Padma 6 of his coupons, the ratio of coupons Troy has to coupons Padma has will be 8:5. How many more coupons will Troy have than Padma after the 6 coupons are given?

Ready4

The applicants to a certain college are identified using a code consisting of 2 digits followed by a letter or 3 digits followed by a letter. Each digit is selected from the digits 0 through 9, inclusive and each letter is selected from the 26 letters of the alphabet. If the digits may be repeated, and if the same digits used in a different order represent a different code, how many different applicants can be identified with these codes?

Ready4

A store assigns ID numbers to each product it sells. Each ID number consists of 5 digits from 0 to 9, inclusive. Digits in the ID number can be repeated, but the first digit cannot be 0. How many different combinations for the ID numbers are there?

Ready4

A security code is to consist of 3 different letters of the alphabet from A to Z inclusive except the first letter cannot be a vowel (A, E, I, O, or U). How many different combinations for the security code are there?

Ready4

Ms. Li must choose a passcode for her bank account. The passcode is to consist of 4 different digits from 0 to 9 inclusive except the first digit must be odd. How many different combinations for the passcode are there?

Ready4

Kacper invested $200 at 6% compounded annually. Aiyana invested $500 at 2% compounded annually. How much greater will the total interest earned on Kacper’s investment be in 2 years?

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