the boredlela team: for the muggers and muggers at heart

at boredlela, the visitor's welfare is one of our top priorities. our aim is not to get anyone too indulged in our blog that he/she forgets about studying, resulting in poor grades. hence, we've decided to post a series of mugger questions for your doing pleasure.

note: answers will not be on the km. they would instead be posted in the "comments" below :D



Qn 1:
Topic: Permutations and Combinations

if that caused you to nearly have an asthmatic attack, not to worry. coz the question below would probably give you newfound interest in p&c. somehow. i don'ch know. here it is:

Girls love to do weird handsigns such as the peace symbol and the one-finger-point. that's covered by Polaris' post. But here's the thing: how many symbols can you make altogether out of your five fingers, if
a) you're only allowed to point your finger up or fold it completely
b) you have the additional option to fold your fingers halfway.
c) you're an emo kid and you slit your wrists.
d) with some l33t skill you can cut your fingers, and magically attach it back to where other fingers grow.

hint: usually fingers are distinct objects.
additional note: vulgar symbols are not allowed.



Qn 2:
Topic: Physics

another very much hated subject i guess. but again, not to fear. this one is, too, on familiar grounds.

The SIPG (stereotypical IP girl) has an uncanny ability to run and perform certain actions within an incredibly short time. for example, a dash to the girls' toilet takes only 1~5 seconds (this is depending on the class. 01 nearest to the toilet, so it takes 1 second. 05 furthest, it takes take 5 seconds. let's just assume everyone is using the TC block toilet), and tucking in a blouse takes a mere 3 seconds.

So one day, Ernest Eu entered 05ip02 and shouted out loud, "MS SELVA IS GOING TO DO A SPOTCHECK!"

Unnerved, SIPG #46 Yu Fang dashed to the toilet, tucked in her blouse, and then dashed back into 05ip02. all these in 7 seconds. assume that Yu Fang's weight is a whopping 75kg (wow. heavier than john song), g=9.81ms^-2, and the distance from Yu Fang's seat in 02 to the toilet is 5.3m.

i) calculate her displacement.
ii) find the total work done by Yu Fang, assuming that tucking in the blouse takes 76J per metre of blouse to tuck in, and Yu Fang has a circular waist of radius 0.35m.
iii) calculate the overall power Yu Fang needs to muster every time in order to avoid doing CWO on saturday.
iv) assuming the actual work she does to tuck her blouse in is 34 J, calculate her efficiency.

[optional]
after the brief episode, Yu Fang thought she was lucky and went to the Häagen-Dazs to eat her favourite ice cream, "The Ultimate Duck Oil, Chicken Fat, Whale Blubber, Lipid Supreme" (which has a density of 131.4352kg/m^3) as a celebration (to commemorate the special day). she gained a total of 1564356.247911 kcal of energy.
i) what was the total volume of ice-cream she consumed, assuming that 12.3249% (by mass) of the food she eats gets converted into useful energy??
hint: use E=mc^2 to change the energy into mass first
ii) using that energy alone, how many NJC steps can she climb, if each NJC step has a height of 14.8 cm?

after climbing 50 steps, Yu Fang could not climb anymore. she lost her balance, and fell from the height she is at to the ground, right onto some poor ulu jc guy. would he be killed instantly? explain clearly, including all assumptions in your answer.


Qn 3: Differentiation - Rates of Change

another frustrating subject, i guess.

Feeling depressed about what had just happened, Yu Fang decided to puke her "The Ultimate Duck Oil, Chicken Fat, Whale Blubber, Lipid Supreme" ice cream out onto the floor. assuming that her viscous puke forms a circular patch that increases in area at a constant rate of 5.3 m^2/s, find the rate at which the radius r is increasing at the instant when r = 1.3m. (in this question, take π = 3.14159)

Qn 4:
Topic: Econs!
A new wave of panic spread over singapore secondary school students as the OEPC (Organisation of Exam-paper Publishing Communities) decided reduce the amount of chinese test papers they will publish. In an interview, the head of the OEPC said, "既然华文要cool, 我们认为我们这些出版华文试卷的人，也应该出一份力. 因此, 我们决定推出新的 limited edition 华文试卷, 一共只出版 1337 卷，希望能为新加坡的华文学生带来一种另类的华文学习经验."

What's more, due to the imminent o levels, students are more anxious than ever to get their hands on chinese test papers.

Using a suitable econs mechanism, predict and explain the effects of this on the singapore secondary school student economy.

more coming up soon. (we've been quite busy lately you see, and this is what we've managed so far.)