UNICAL Mathematics 2017/2018 Past Questions

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

Find the identity element of the set S under the binary operation * defined by a*b = 2ab

A.¹/₂
B.1
C.0
D.-¹/₂
E.-1

Differentiate y = 7x⁴cos x - 5 with respect to x.

A.28x⁴ + sin x
B.28x⁴ - cos x
C.28x³ - sin x
D.28x⁵ - sin x

Find the value of n if $$30 \times (^nC_5) = ^nP_4$$

A.5
B.2
C.3
D.6
E.8

What value of x satisfies the equation: $$3^{2x+3} - 3^{x+2} - 3^{x+1} + 1 = 0$$

A.(-2, -1)
B.(2, 1)
C.(-2, 1)
D.(¹/₉, ¹/₃)

What is the quotient and remainder when x + 2 divides $$2x^2 - 3x + 2$$?

A.(x +2, 16)
B.(x + 2, 2x – 7)
C.(2x – 7, 16)
D.(2x + 7, 16)
E.(2x + 7, 16)