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整数的性质   题数:245
How many different prime numbers are factors of the positive integer n ?(1)Four different prime numbers are factors of 2n. (2)Four different prime numbers are factors of n².
For each order, a mail-order bookseller charges a fixed processing fee and an additional shipping fee for each book in the order. Rajeev placed five different orders with this bookseller--an order for 1 book in January, an order for 2 books in February, an order for 3 books in March, an order for 4 books in April, and an order for 5 books in May. What was the total of Rajeev's processing and shipping fees for these five orders?(1) Rajeev's processing and shipping fees were $1.00 more for his order in March than for his order in January.(2) The total of Rajeev's shipping fees for the five orders was $7.50.
For a certain play performance, adults' tickets were sold for $12 each and children's tickets were sold for $8 each. Howmany children's tickets were sold for the performance?(1) The total revenue from the sale of adults’ and children’s tickets for the performance was $5,040.(2) The number of adults’ tickets sold for the performance was 1/3 the total number of adults’ and children’s tickets sold for the performance.
On the number line above, is the product of w, x, y, and z negative? (1) z is positive. (2) The product of w and x is positive.
At a certain store, each notepad costs x dollars and each marker costs y dollars. If $10 is enough to buy 5 notepads and 3 markers, is $10 enough to buy 4 notepads and 4 markers instead?(1) Each notepad costs less than $1.(2) $10 is enough to buy 11 notepads
Is the product of a certain pair of integers even? (1) The sum of the integers is odd. (2) One of the integers is even and the other is odd.
The retail price of a certain refrigerator is 1.6 times its wholesale price. What is the difference between the retail price and the wholesale price of the refrigerator? (1) The wholesale price of the refrigerator is $200.(2) The retail price of the refrigerator is $320.
If x and y are positive integers, what is the value of xy ? (1) The greatest common factor of x and y is 10. (2) The least common multiple of x and y is 180.
Juan bought some paperback books that cost $8 each and some hardcover books that cost $25 each. If Juan bought more than 10 paperback books, how many hardcover books did he buy?(1) The total cost of the hardcover books that Juan bought was at least $150.(2) The total cost of all the books that Juan bought was less than $260.
If n and t are positive integers, what is the greatest prime factor of the product nt ? (1) The greatest common factor of n and t is 5. (2) The least common multiple of n and t is 105.
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