多选题If x and y are both positive even integers, which of the following expressions must be even? (Select all such expressions.)AxyB(x+1)yCx(y+1)

题目

多选题

If x and y are both positive even integers, which of the following expressions must be even? (Select all such expressions.)

x^y

(x+1)^y

x^(y+1)

相似考题

1.若有定义 :char *x="abcdefghi"; ，以下选项中正确运用了 strcpy 函数的是A)char y[10]; strcpy(y,x[4]);B)char y[10]; strcpy(++y,&x[1]);C)char y[10],*s; strcpy(s=y+5,x);D)char y[10],*s; strcpy(s=y+1,x+1);

2.已知x2=x+1，y2=y+1，且x≠y，则x3+y3=______。

3.A.(x+1)(y+1)=2，z=3 B.(x+1)(y-1)=2，z=3 C.(x+1)(y-1)=-2，z=3 D.(x+1)(y+1)=-2，z=3

4.Rule 14 describes the action to be taken by vessels meeting head-on. Which of the following conditions must exist in order for this rule to apply?______.A.Both vessels must be power-driven.B.They must be meeting on reciprocal or nearly reciprocal courses.C.The situation must involve risk of collision.D.All of the above

更多“多选题If x and y are both positive even integers, which of the following expressions must be even? (Select all such expressions.)AxyB(x+1)yCx(y+1)”相关问题

第1题：

过点A(1,-1)，B(-1,1)且圆心在直线x+y-2=0上的圆的方程是（）。

A.(x-3)2+(y+1)2=4
B.(x+3)2+(y-1)2=4
C.(x-1)2+(y-1)2=4
D.(x+1)2+(y+1)2=4

答案：C
解析：
第2题：

设以下变量都是int类型，则值不等于7的表达式是（）。
- A、x=y=6，x+y，x+1
- B、x=y=6，x+y，y+1
- C、x=6，x+1，y=6，x+y
- D、y=6，y+1，x=y，x+1
正确答案:C
第3题：

Which of the following must occur when installing SCSI devices into the server？（）
- A、 Terminate the back end of the chain.
- B、 Set the jumper to device ID 0.
- C、 Terminate both ends of the chain.
- D、 Set the jumper to cable select.
正确答案:C
第4题：

单选题
If a and b are integers and the sum of ab and b is even, which of the following could be true?Ⅰ. a and b are both odd.Ⅱ. a is even and b is odd.Ⅲ. a is odd and b is even.
A
Ⅰ only
B
Ⅱonly
C
Ⅲ only
D
Ⅰ and Ⅱ
E
Ⅰand Ⅲ

正确答案： C
解析：
Plug-in. StatementⅠ：if a and b are both odd, says a=1 and b=3, then ab+b=6. Since the sum is even, statementⅠ is true. StatementⅡ：1et a=2 and b=3, then ab+b=9. Since the sum is odd, this statement is false. Statement Ⅲ：let a=3 and b=2, then ab+b=8, which is even. So both statement Ⅰand statementⅢ are true.
第5题：

单选题
How many positive integers less than 70 are equal to the product of a positive multiple of 5 and an even number?
A
4
B
6
C
9
D
10
E
11

正确答案： E
解析：
All even multiples of 5 must be multiples of 10. So the multiples of 10 between 0 and 70 are 10, 20, 30, 40, 50 and 60. That’s 6 altogether.
第6题：

单选题
Set X = even integers and Set Y = odd integers. Therefore X ∩ Y = ______.
A
prime numbers
B
integers
C
empty set
D
composite numbers
E
whole numbers

正确答案： A
解析：
When two sets have nothing in common, we refer to their intersection as the empty set. There are two appropriate ways to denote the empty set: X∩Y={ } or X∩Y=φ.
第7题：

多选题
If x=6y, then which of the following expressions is a multiple of x? (Select all such expressions.)
A
3y
B
12y
C
30y

正确答案： C,B
解析：
根据题目中已知的数量关系可知，x必须是6的倍数，选项B和C均符合要求。
第8题：

多选题
If 4 more than twice n is a negative number and 6 more than n is a positive number, which of the following numbers could be the value of n? (Select all such numbers.)
A
-5
B
4
C
-3

正确答案： B,A
解析：
根据题目中的已知条件可得，4+2n<0，6+n>0，把各个选项分别代入两个不等式中检验，同时符合两个不等式可得到n可以等于-5，-4，-3，故正确答案为AC。
第9题：

单选题
If m and n are positive integers and 3m+n-1=2m+2n, which of the following must be true?I. m and n are consecutive integers.II. m is even.III. n is odd.
A
None
B
I only
C
II only
D
III only
E
I, II, and III

正确答案： D
解析：
Since m=n+1, where m and n are given as positive integers, Roman numeral choice I is true. Since, m=n+1, m can be either odd or even, hence choice II is false. Roman numeral choice III is also false since n can be either even or odd.
第10题：

单选题
For all real values of x and y, let x◆y be defined by the equation x◆y = 2 -xy. If -1 < a < 0 and 0 < b < 1, then which of the following must be true?
A
-2<a+b<-1
B
-l<a+b<0
C
0<a+b<l
D
l<a+b<2
E
2<a+b<3

正确答案： B
解析：
根据题干，发现a= -1/2, b =1/2满足已知条件，a◆b=2-ab，将a= -1/2, b =1/2代入进去，则(-1/2) ◆(1/2) = 2 - (-1/2)(1/2) = 2 + 1/4 = 2.25，故选E。
第11题：

单选题
If x and y are positive numbers greater than 1, and wx/y+w =1 then w= ______.
A
(x-1)/(y-1)
B
y/(x-1)
C
(x+1)/y
D
(x-y)/(x+y)
E
y/(x+1)

正确答案： A
解析：
因为wx/(y+w) =1，所以wx = y + w，则wx-w = y，w (x-1) = y，w = y/(x-1)，故选B。
第12题：

单选题
In the expression an, n is an even power. Which of the following expressions does not have even power?
A
aⁿ^+l
B
a²ⁿ
C
aⁿ⁺²
D
a³ⁿ
E
aⁿ⁺⁴

正确答案： D
解析：
Because n is an even power, n + 1 is an odd power. That means aⁿ⁺¹ has an odd power. The powers in the other choices are even.
第13题：

设以下变量均为int类型,则值不等于7的表达式是( )

A.(x=y=6,x+y,x+1)
B.(x=y=6,x+y,y+1)
C.(x=6,x+1,y=6,x+y)
D.(y=6,y+1,x=y,x+1)

答案：C
解析：
第14题：

设以下变量均为int类型，则值不等于7的表达式是（）。
- A、（x=y=6，x+y，x+1）
- B、（x=y=6，x+y，y+1）
- C、（x=6，x+1，y=6，x+y）
- D、（y=6，y+1，x=y，x+1）
正确答案:C
第15题：

Which statement is true regarding the COALESCE function?（）
- A、It can have a maximum of five expressions in a list
- B、It returns the highest NOT NULL value in the list for all rows
- C、It requires that all expressions in the list must be of the same data type
- D、It requires that at least one of the expressions in the list must have a NOT NULL value
正确答案:C
第16题：

单选题
Let Ω p be defined as p2/3-p for all positive integers, p. If Ωn = s, and s is a positive integer, which of the following is a possible value for s?
A
1
B
3
C
5
D
6
E
8

正确答案： A
解析：
根据题干Ωn =n²/3-n=s. n为正整数，且s为正整数；根据函数可知只有当n是3的倍数时，s才能为整数，否则如果n²/3不是整数，s也不是整数。现在可以从符合条件的n的最小值3代入到函数中。当n=3时，n²/3-n =3²/3-3 = 3-3 = 0 = s；当n=6时，n²/3-n = 6²/3-6 = 12-6 = 6 = s。所以故选D。
第17题：

单选题
a and b are positive, a is even and b is odd. Which of the following must also be odd?
A
ab
B
a/b
C
a + 2b
D
b^a
E
(ab)^a

正确答案： D
解析：
An odd number raised to an even power equals an odd number. Take 3²= 9, for example, b^a is the correct answer.
第18题：

单选题
If the sum of 4 consecutive positive integers is w, in terms of w, which of the following represents the sum of the next 4 consecutive positive integers?
A
w²+16
B
w+16
C
4w+16
D
4w+4
E
w+4

正确答案： C
解析：
Let x, x+1, x+2, x+3, represent the 4 consecutive integers. Then, x+x+1+x+2+x+3=w or 4x+6=w. The next 4 consecutive positive integers will be：x+4, x+5, x+6, x+7. Their sum will be：4x+22=4x+6+16=w+16.
第19题：

多选题
If x and y are both positive even integers, which of the following expressions must be even? (Select all such expressions.)
A
x^y
B
(x+1)^y
C
x^(y+1)

正确答案： B,A
解析：
由于题目中x和y是变量，可以根据题干给出的条件给x, y设定符合条件的数值，代入各选项，看结果是否符合题干要求，即可得出答案。
第20题：

多选题
If p and q are primes greater than 2, which of the following statements must be true? (Indicate all such statements.)
A
p + q is even
B
pq is odd
C
p²-q² is even

正确答案： A,B
解析：
由于所有大于2的质数都是奇数，因此p和q均是奇数，两奇数相加为偶数，所以A项正确；两奇数的乘积还是奇数，所以B项正确；两奇数的平方还各自是奇数，而两奇数的平方之差是偶数，因此C项也正确；所以选择A、B、C三项。
第21题：

单选题
Which statement is true regarding the COALESCE function?（）
A
It can have a maximum of five expressions in a list
B
It returns the highest NOT NULL value in the list for all rows
C
It requires that all expressions in the list must be of the same data type
D
It requires that at least one of the expressions in the list must have a NOT NULL value

正确答案： D
解析：暂无解析
第22题：

多选题
Select all the values of x which make the following true: 2x4 = 7x3 + 4x2.
A
0
B
-1/2
C
-1
D
2
E
4

正确答案： B,D
解析：
因为2x⁴ = 7x³ + 4x²，所以x²(2x²-7x-4)=0，所以x=0或-1/2或4，所以本题应选ABE三项。
第23题：

单选题
设以下变量都是int类型，则值不等于7的表达式是（）。
A
x=y=6，x+y，x+1
B
x=y=6，x+y，y+1
C
x=6，x+1，y=6，x+y
D
y=6，y+1，x=y，x+1

正确答案： B
解析：暂无解析
第24题：

单选题
x, y, and z are positive integers. Which of the following lists all the possible ways for x + y + z to be an odd number?I. One of the numbers is odd.II. Two of the numbers are odd.III. Three of the numbers are odd.
A
I
B
I and II
C
I and III
D
II and III

正确答案： C
解析：
I. One of the numbers is odd. Let x be odd. Let y and z be even. y + z is even. An even plus an odd is odd, so x + y + z is odd.

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多选题If x and y are both positive even integers, which of the following expressions must be even? (Select all such expressions.)AxyB(x+1)yCx(y+1)

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