What is the remainder when 3^35 is divided by 5?
A. 0B. 1C. 2D. 3E. 4
The ratio of two quantities is 2 : 3. If each of the quantities is increased by 6, what is the ratio of the new quantities?
A. 2 : 3B. 6 : 7C. 8 : 9D. 8 : 3E. It cannot be determined from the information given.
If f(x)=x^2 and g(x)=2^x , for all x. Then what is the value of f(f(g(x))+g(f(x))) at x=1 ?
A. 16B. 18C. 36D. 40
If (m+n)/(4+5)= m/4+n/5 , which of the following statements must be true?
A. m = nB. 5m = 4nC. 5m = –4nD. 25m = 16nE. 25m = –16n
If 3x/2=y, and 2−3y=y+2 , then x =
A. -3B. -2C. 0D. 2E. 3
If x + y + z = 2, and x + 2y + 3z = 6 and y ≠ 0, then what is the value of x/y?
(A) −1/2(B) −1/3(C) −1/6(D) 1/3(E) 1/2
What is the least integral value of k for which the equation x^2−2(k+2)x+12+k^2=0 has two different real roots ?
In a farm, the ratio of pigs to chickens is 13 to 28. When 15 pigs were added to the farm, the ratio of pigs to chickens became 4 to 7. What was the original total number of pigs and chickens in the farm?
(A) 200(B) 205(C) 210(D) 215(E) 220
What is the remainder when 4^96 is divided by 6?
For a certain integer x, the units digit of (x+2)^2 is 9. Which of the following could be the units digit of |x+1|?
A. 0B. 3C. 4D. 5E. 7
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