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发布时间:2023-10-22 08:22:21

[单项选择]The product of three consecutive integers must be
Ⅰ. Divisible by 3
Ⅱ. Divisible by 5
Ⅲ. Divisible by 6 ?()
A. Ⅰ only
B. Ⅱ only
C. Ⅰ and Ⅱ only
D. Ⅰ and Ⅲ only
E. Ⅰ,Ⅱ,and Ⅲ

更多"The product of three consecutive in"的相关试题:

[单项选择]If x,Y and z are consecutive integers and x<y<z,which of the following must be true
Ⅰxyz is even.
Ⅱx+y+z is even.
Ⅲ (x+y)(y+z)is odd.
A. None
B. Ⅰonly
C. Ⅱ only
D. Ⅰ and Ⅲ only
E. Ⅰ,Ⅱ,and Ⅲ
[单项选择]The sum of four consecutive odd positive integers is always ?()
A. an odd number
B. divisible by 4
C. a prime number
D. a multiple of 3
E. greater than 24
[单项选择]

How many positive integers k are there such that 100k is a factor of (22)(3)(53) ?()


A. None
B. One
C. TWO
D. Three
E. Four
[单项选择]Jerome wrote each of the integers 1 through 20, inclusive, on a separate index card. He placed the cards in a box, then drew cards one at a time randomly from the box, without returning the cards he had already drawn to the box. In order to ensure that the sum of all the cards he drew was even, how many cards did Jerome have to draw
A. 19
B. 12
C. 11
D. 10
E. (E) 3
[填空题]If r and s are positive integers,each greater than 1,and if 11(s-1)=13(r-1),what is the least possible value of r+s ?()
[单项选择]How many integers between 324,700 and 458,600 have tens digit 1 and units digit 3 ?()
A. 10,300
B. 10,030
C. 1,353
D. 1,352
E. 1,339
[单项选择]If S is the sum of the first n positive integers, what is the value of n ?()
(1)S<20
(2)S2>220

A. 条件(1)充分,但条件(2)不充分.
B. 条件(2)充分,但条件(1)不充分.
C. 条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.
D. 条件(1)充分,条件(2)也充分.
E. 条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不充分.
[单项选择]

Expansion at Everall

After four consecutive years of record-breaking growth, Everall Technologies has announced plans to (41) its office facilities on Warner Road. The company has added over 200 employees in the last ten years alone, and is desperately in need of more space.According to an Everall spokesperson, the construction firm chosen to undertake the project is Build Lite Inc., and the work is estimated to take a little over a year to complete. (42) in the plans are a four-storey sales center, an auditorium with seating for 500, and a parking lot able to accommodate up to 1,200 vehicles. Both Everall and Build Lite have declined to (43) the cost of the project at this time. However, independent analysts predict it could reach over $10 million.

41()。
A. submit
B. expand
C. release
D. organize
[单项选择]Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10 ?()
A. Three
B. Four
C. Five
D. Six
E. Seven
[单项选择]For how many integers n is 2n=n2 ?()
A. None
B. One
C. Two
D. Three
E. More than three
[单项选择]

If P is a set of integers and 3 is in P, is every positive multiple of 3 in P ?()
(1)If x is in P,then x+3 is in P.
(2)If x is in p, then x-3 is in p.


A. 条件(1)充分,但条件(2)不充分.
B. 条件(2)充分,但条件(1)不充分.
C. 条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.
D. 条件(1)充分,条件(2)也充分.
E. 条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不充分.
[单项选择]If r and s are integers and rs+r is odd, which of the following must be even ?()
A. r
B. s
C. r+s
D. rs-r
E. r2+s
[单项选择]If X and Y are sets of integers, X△Y denotes the set of integers that belong to set X or set Y, but not both. If X consists of 10 integers, Y consists of 18 integers,and 6 of the integers are in both X and Y, then X△Y consists of how many integers ?()
A. 6
B. 16
C. 22
D. 30
E. 174
[单项选择]One set of numbers consists of consecutive integers and the least number is 3.How many numbers are there in the set
(1)The average of all the numbers in the set is 6;
(2)The number of integers is one more than the range of the set.
A. 条件(1)充分,但条件(2)不充分.
B. 条件(2)充分,但条件(1)不充分.
C. 条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.
D. 条件(1)充分,条件(2)也充分.
E. (E) 条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不充分.
[单项选择]

Passage Three

Rising Prices Cause House "Apartheid"
涨价导致房屋的“种族隔离”
The Government has admitted that soaring house prices have left people on average incomes, such as teachers and nurses, locked out of buying their first homes across large parts of southern England, including London and most of the South East.
A spokeswoman for the Deputy Prime Minister, John Prescott, admitted last night that there was now an effective "housing apartheid", with people in their own homes pulling further and further away from those yet to get on the property ladder.
With house prices rising at betwe
A. About 20%.
B. More than 98%.
C. About 80%.
D. More than 45%.

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