FUTO Mathematics 2013/2014 Day 3 Past Questions

Practice each question, then open it to see the full details.

If 52_n -24_n = 25, then n is =

A.4
B.7
C.11
D.5
E.2

The value of n that satisfies $$\frac{8^{n+2} - 6(2^{n+1})^3} {2^n x 4^{n+2}}$$

A.1
B.1/2
C.1/4
D.2
E.4

Find x if (2.5)^x-3 = (0.4)^6+x

A.1.5
B.2.5
C. -1.5
D.-2.5
E.2

Solve the following equation √(x + 6) = 1 + √(x + 1)

A.3
B.4
C.5
D.2
E.1

The remainder when (x+3) divides 2x³ - 11x² + 8x - 1 is

A.-871
B.-781
C.-187
D.-178

If A is set of even numbers between 1 and 10 inclusive, find the power set of A, P(A).

A.5
B.32
C.16
D.64
E.128

If 3(2x) = 24 then x is

A.2
B.4
C.8
D.3
E.1

Simplify sec²x - tan²x)

A.2
B.4
C.-1
D.1
E.5

What is the value of n if 5 x ⁿP₃ = 24 x ⁿC₄

A.4
B.6
C.8
D.2
E.None of the above

The remainder when x + 3x- 5x + 7x - x is divided by x-1 is

A.5
B.0
C.1
D.3
E.17