Algebra!
Algebra!!!
Miscellaneous
100
Q.How many different ways can 3 cubes be painted if each cube is painted one color and only the 3 colors red, blue, and green are available? (Order is not considered, for example, green, green, blue is considered the same as green, blue, green.) a) 2 b)3 c)9 d)10
What is d) 10
100
(√12.5 + √12.5 )^2 − ( √25 )^2 = a) 0 b) 5 c) 12.5 d) 25
What is d) 25
100
How many positive five-digit numbers can be formed with the digits 0, 3, and 5? a) 14 b) 15 c) 108 d) 162 e) 243
What is d) 162
200
Q. If 42.42 = k(14 + m/50), where k and m are positive integers and m < 50, then what is the value of k + m ? a) 7 b) 8 c) 9 d)10
What is d) 10
200
Q. If x ≠ 3 and x ≠ 6, then (2x^2−72)/(x−6)−(2x^2−18)/(x−3)= a) 3 b) 6 c) 9 d) 12 e) 15
What is b) 6
200
The percentage of integers from 1 through 100 whose squares end with the digit 1 is x%, and the percentage of integers from 1 through 200 whose squares end with the digit 1 is y%. Which one of the following is true? a) x=y b) x=2y c) x=4y d) y=2x e) y=4x
What is a) x=y
300
Q. If x + z > y + z, then which of the following must be true? (I) x – z > y – z (II) xz > yz (III) x/z > y/z a) I Only b) II Only c) I and II d) All of the Above
What is a) I only
300
Q. If |x| ≠ 12, then (4x^2−1)/(2x+1)−(4x^2−1)/(2x−1)= a) -2 b) -1 c) 0 d) 2 e) 4
What is a) -2
300
Q. The perimeter of rectangle ABCD is 5/2 times the length of side AB. What is the value of AB/BC ? a) 1/4 b) 1/2 c) 1 d) 2 e) 4
What is e) 4
400
Q. If the function f(x) is defined for all real numbers x as the maximum value of 2x + 4 and 12 + 3x, then for which one of the following values of x will f(x) actually equal 2x + 4 ? a) -4 b) -5 c) -6 d) -7 e) -9
What is e) -9
400
Q. (2x−11)(2x+11)/4−(x−11)(x+11)= a) 0 b) 4 c) 16 d) 45.5 e) 90.75
What is e) 90.75
400
The remainder when m + n is divided by 12 is 8, and the remainder when m – n is divided by 12 is 6. If m > n, then what is the remainder when mn is divided by 6? a) 1 b) 2 c) 3 d) 4 e) 5
What is a) 1
500
Q.Which one of the following does the expression 2^x+2^(x−1)/(2^(x+1)−2^x) equal? a) 1 b) 3/2 c) 2 d) 5/2
What is b) 3/2
500
Q. 4(√6+√2)/(√6−√2)−(2+√3)/(2−√ 3)= a) 1 b) √6 – √2 c) √6 + √2 d) 8 e) 12
What is a) 1
500
If l/(m+n)=m/(n+l)=n/(l+m)=k, where k is a real number, then which one of the following does k equal? a) 1/3 b) 1/2 c) 1 d) 2
What is c) 1/2
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