RSUT Mathematics 2015/2016 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 = 7x⁴ cos x-5 with respect to x.

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

Find the value of n if 30 x (ⁿC₅)= ⁿP₄

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

A.(-2, -1)
B.(2, 1)
C.(-2, 1)
D.(1/9, 1/3)
E.(0, 1)

What is the quotient and remainder when x + 2 divides 2x² - 3x + 2 ?

A.(X + 2, 16)
B.(x+2, 2x - 7)
C.(2x - 7,16)
D.(2x + 7,16)

What is the point of intersection between the lines y = 3x + 2 and 2x + 3y = 17?

A.P(1, 5)
B.P(5, 1)
C.P(2, 3)
D.P(2, 17)
E.P(-1,-5)

Evaluate (2⁰ + 4^-1/2)²

A.2
B.4
C.9/4
D.5
E.1

If cos 8 = sin 8, then is

A.30°
B.45°
C.60°
D.90°
E.0°

What is the first derivative of 3 + 2x - x²

A.⅓(1- x)
B.⅓(1 + x)
C.⅓(x - 1)
D.⅓(x - 2)
E.⅓(1 +x)

What is the probability of obtaining a total of 5 or 11 when a die is cast twice?

A.1/6
B.1/9
C.1/18
D.1/12
E.None of the above