TRICKY ALGEBRA QUESTIONS FROM MY ERROR-LOG

I AM SHARING WITH YOU ALL THE ALGEBRA QUESTIONS THAT MADE IT TO MY ERROR LOG.


If the operation € is defined for all x and y by the equation x € y = 2xy, then 3 €
(4 € 5) =
(A) 80
(B) 120
(C) 160
(D) 240
(E) 360

For all numbers q and r, the operation Θ is defined by q Θ r = (q + 3)(r – 2). If 1
Θ z = –8, then z is equal to which of the following?
(A) –3
(B) –2
(C) –1
(D) 0
(E) 2
222


Let f(n) = the number of distinct factors n has. For example, f(20) = 6, because
20 has six factors (1, 2, 4, 5, 10, and 20). Which of the following products is
equal to 225?
(A) f(10) • f(100)
(B) f(100) • f(1,000)
(C) f(1,000) • f(10,000)
(D) f(100) • f(10,000)
(E) f(10) • f(1,000)


In the infinite sequence a1, a2, a3, …, an, …, an = n2. What is a1,323 – a1,322?
(A) 2,245
(B) 2,645
(C) 5,290
(D) 5,545
(E) 5,790


If g is a function defined for all x by g(x) = x4 16, then what is the value of g(2x) in terms of g(x)?
(A) g(x) 16
(B) g(x) 4
(C) 4g(x)
(D) 8g(x)
(E) 16g(x)



ANSWERS
QUES 1 D
QUES 2 D
QUES 3 D
QUES 4 B
QUES 5 E