Correct Answer: B. \(3\sqrt{13}\)

Explanation

Given \(a = i - 3j; b = -2i + 5j; c = 3i - j\)

\(a- b + c = (1 - (-2) + 3)i + (-3 - 5 + (-1))j = 6i - 9j\)

\(|a - b + c| = \sqrt{6^{2} + (-9)^{2}} = \sqrt{36 + 81} = \sqrt{117}\)

\(= \sqrt{9 \times 13} = 3\sqrt{13}\)

Correct Answer: D) C₄H₈

Explanation

Mass of hydride = 0.07g; Mass of hydrogen = 14.29% \(\times\) 0.07 = 0.01g

Mass of carbon = 0.07g - 0.01g = 0.06g

Mole ratio of H = \(\cfrac{0.01}{1} = 0.01\)

Mole ratio of C = \(\cfrac{0.06}{12} = 0.005\)

Ratio of mixture C = \(\cfrac{0.005}{0.005} = 1\), H = \(\cfrac{0.01}{0.005} = 2\)

Empirical formula = CH\(_2\)

RMM = (12 + 1\(\times\) 2)n = 56

14n = 56 \(\Rightarrow\) n = \(\cfrac{56}{14} = 4\)

Molecular formula = (CH\(_2\))\(_4\) = C\(_4\)H\(_8\)

Correct Answer: C. devolution

Correct Answer: D. dupe me

Explanation

The idiom pull the wool over someone's eyes means to deceive or trick someone.

Let's look at the options:

• A. force me to buy his goods: This implies coercion, not necessarily deception.

• B. offer me cotton wool: This is a literal interpretation of wool and misses the idiomatic meaning.

• C. make me by his wool: This also tries to interpret wool literally and has a grammatical error (by instead of buy).

• D. dupe me: To dupe someone means to deceive or trick them. This perfectly matches the meaning of the idiom.

Therefore, the option nearest in meaning is D.

Correct Answer: D. fruitless

Explanation

The word futile means incapable of producing any useful result; pointless.

Let's look at the options:

• A. successful: This is the opposite of futile.

• B. wicked: This means evil or morally wrong. It's unrelated to the effectiveness of the efforts.

• C. reasonable: This means sensible or fair. It doesn't describe the outcome of the efforts.

• D. fruitless: This means failing to achieve the desired results; useless. This is a very close synonym for futile.

Therefore, the option nearest in meaning to futile is D. fruitless.

Correct Answer: A. branch stock account and credit goods sent to branch account

Correct Answer: D. 3.2sec

Correct Answer: A. undertake projects that require huge sums of money

Explanation

Federal Science Model College,

P.M.B 5050, Ikot, Calabar.

30th April. 2009. The Principal Federal Science Model College, Ikot, Calabar.

Dear Sir, ACTS OF BULLYING IN MY SCHOOL

The purpose of writing this letter is to bring to your notice the recent acts of bullying by senior students in my school. I am sure that some cases of bullying junior students by their seniors must have been reported to you. It has become. so rampant that something drastic has to be done urgently to arrest the situation. Most of the junior students are terrified because they are being forced, against their will. to do some wrong things as well as being forced to part with some things that belong to them.

There are several incidences of bullying in the school but I will tell you two of them. You will remember. Sir, a forth night ago, the case of a senior student who injured a junior student seriously in the head with a broken bottle. The incident was reported to your office but what is important is that it would have been averted if the junior student had not stood up against the senior student. What happened was that the junior student had a beautiful and expensive phone on him which he claimed his parents bought for him. The senior student wanted to collect the phone from him and when the junior student refused to give him. a fight ensued and the boy was seriously wounded. The conspiracy of the other senior students at the scene of the incidence further worsened the matter. They wanted to forcefully collect the phone, claiming that the junior student was not supposed to be in possession of a phone while in school. This type of incident often occurred in the school when junior students are mostly beaten up by senior students in order to dispossess them of their belongings.

The second incident was even ridiculous. A friend of mine who is in the junior secondary class was sent on an errand to buy biscuits by a senior student and was ordered to use his own money. I remember watching my friend crying because he had no money on him. Since he did not have the money, he went back to the senior student and told him that he could not buy him biscuit because he had no money on him. The senior student did not want to listen to him. He gave my friend some slaps and went under his bunk, packed some clothes for him to wash.

Sir. you have to do something about bullying in this school as it has caused a lot of disaffection among students. I would want to suggest some measures that can be taken to curb this act of bullying. Firstly. any senior student caught bullying a junior student, or even his own mate should be made to face the disciplinary committee of the school and he should be punished severely. I suggest that any bully caught should be suspended from school for a term and his parents should be invited to school to tell them the student's offence and the punishment meted out to him.

Secondly. bullying should attract a public punishment. Instead of dealing with the offence in your office or in staff-rooms, any student found engaging in bullying should be flogged openly on the assembly on your instruction. If this is done it will serve as a deterrent to others who may want to bully their fellow students.

I appreciate the good work you are doing to position the school on a high pedestal Thank you.

Yours faithfully.

Signature

Latilo Taiwo

Correct Answer: A. an eloquent