(a) Given that m = i - i, n = 2i + 3j and 2m + n - r = 0, find |r|

(b) The distance, S metres of a moving particle at any time tseconds is given by

S = 3t - \(\frac{t^3}{3}\) + 9

Find the;

(i) time

(ii) distance travelled

When the particle is momentarily at rest

An example of arboreal animal is?

• A. squirrels
• B. duck
• C. pig
• D. rat

Which of the following compounds is NOT an isomers of 2,2 dimethylbutane?

• A. 2-methylbutane
• B. 3-methylpentane
• C. 2,3-dimethylbutane
• D. 2-methylpentane

According to the first Epistle of John, to have the Son is to have

• A. the Holy Spirit
• B. life
• C. salvation
• D. the father

The general term of an infinite sequence 9, 4, -1, -6,... is \(u_{r} = ar + b\). Find the values of a and b.

• A. a = 5, b = 14
• B. a = -5, b = 14
• C. a = 5, b = -14
• D. a = -5, b = -14

The major different between a state and a nation is that the latter presupposes a

• A. heterogenous population
• B. homogenous population
• C. well defined territory
• D. more organized system

Consider the following equation; Cr₂O₇(aq)^2- + 14H⁺(aq) + 6e^- → 2Cr³⁺(aq) + 7H₂O(I). The oxidation number of chromium changes from

• A. -2 to + 3
• B. - 2 to + 6
• C. + 6 to + 3
• D. + 7 to + 6

Which of the following is/arenot true about the heat capacity of a substance?

(i) It is an intensive property

(ii) Its S.I unit is \(jK-1\)

(iii) It is an extensive property

(iv) Its S.I unit is \(jkg-1\)

• A. (i) and (iii) only
• B. (i), (ii) and (iv) only
• C. (i) and (iv) only
• D. (ii) and (iii) only

SO3 is not directly dissolved in water in the industrial preparation of HM2SO4 by the contact process because...

• A) SO3 is an acidic gas
• B) Acid is usually added to water and not water to acid
• C) The reaction between SO3 and water is violently exothermic
• D) SO3 does not dissolve readily in water does not dissolve readily in water

The brown fumes given off when trioxonitrate (V) acid is heated consist of ?

• A. NO₂ and O₂
• B. H₂O and NO₂
• C. NO₂' O₂ and H₂O
• D. NO, NO₂ and H₂O