Best of exercices

Question 1

In an increasing sequence of 10 consecutive integers, the sum of the first 5 integers is 560. What is the sum of the last 5 integers in the sequence?

Answer 1

585

Question 2

When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y ?

Answer 2

75

Question 3

Club X has more than 10 but fewer than 40 members. Sometimes the members sit at tables with 3 members at one table and 4 members at each of the other tables, and sometimes they sit at tables with 3 members at one table and 5 members at each of the other tables. If they sit at tables with 6 members at each table except one and fewer than 6 members at that one table, how many members will be at the table that has fewer than 6 members?

Answer 3

N-3 is both a multiple of 4 and of 5. what are these multiples? 20, 40, 60… so N can be equal to 23, 43 …

Question 4

How many of the integers that satisfy the inequality (x+2)(x+3)/(x-2) >= 0 are less than 5 ?

Answer 4

Faire tableau des signes.

Question 5

Answer 5

pour (2) penser au cas q>0

Question 6

Answer 6

together sufficient

Question 7

Answer 7

Faire (2) en visualisant la ligne.

Question 8

Beginning in January of last year, Carl made deposits of $120 into his account on the 15th of each month for several consecutive months and then made withdrawals of $50 from the account on the 15th of each of the remaining months of last year. There were no other transactions in the account last year. If the closing balance of Carl’s account for May of last year was $2,600, what was the range of the monthly closing balances of Carl’s account last year?

(1) Last year the closing balance of Carl’s account for April was less than $2,625.
(2) Last year the closing balance of Carl’s account for June was less than $2,675.

Answer 8

C: together sufficient