FUTO Mathematics 2013/2014 Day 1 Past Questions

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

The binary operation * is defined on the set of integers such that x+y = xy + x-y

A.11
B.13
C.25
D.22
E.23

Evaluate $$∫^{\fracπ2}_0$$ sin 2x dx

A. π
B. 2π
C.1
D.10

Find x if log_x 9 + log_x² 3 = 2.5

A.2
B.3
C.4
D.2.5
E.1

Find the values of a if the equation (5a+ 1)x² - 8ax + 30

A.(-3, 0)
B.(3, 0)
C.(2, 3)
D.(-2, 3)
E.(-2, -3)

What is the value of k if (x-3) is a factor of 2x³ + kx² - 5x + 6.

A.-5
B.5
C.-45
D.6
E.-6

If the angles of hexagon are x°, (x+10)°, (x+20)°(x+30), (+40)°, and (x+50)° then x is

A.95°
B.120°
C.90°
D.65°
E.45°

Simplify (225^1/2 + 85⁰) x 256^-1/4

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

Find the turning point of the functions 2x3 +3x2-36x+10 ...

A.(2,3)
B.(-2,3)
C.(2,-3)
D.(-2,3)
E.None of the above

In how many ways can 3 boys and 2 gls sit in a row, if just the girls are to sit together?

A.120
B.24
C.48
D.36
E.None of the above

The value of lim_x-->0 1-cosx / 1-sinx is

A.1
B.0
C.-1
D.0.5
E.2