Daily Puzzle 5: Dec 6

Congratulations to making to the last day of daily puzzles! And enjoy your sports day! If you ever desire some intellectual challenges alone side the physical ones, feel free to solve these puzzles. As always, just like any of the sports events, you will get 10 house points for solving any of the problems.

Question A – Fun math

What is the next arrangement, expressed in a number?

Hint – it’s not an IQ test, so don’t think too hard.

Submit your answer


Questoin B – Logic

Assume you know the following relationships:

  1. If it is cloudy today, Ken feels sad.
  2. If Ken feels sad, he will play computer games for a whole day.
  3. If Ken plays computer games for a whole day, he will eat a lot at dinner.

You know that Ken plays computer games for a whole day today, which of the following statements can be TRUE?

  1. Today is cloudy.
  2. Ken feels sad today.
  3. Ken eats a lot at dinner.
  4. All of the above

Submit your answer

Daily Puzzle 4: Dec 5

Question A – Physics

Two balls, stacked together as illustrated below, are released from a certain height. The ball on the bottom has a mass of 1000kg and the ball on the top has a mass of 1kg. Upon impact, the balls both have a speed of 10m/s. Assuming all collisions are elastic, what is the speed of the small ball after impact, rounded to the nearest whole number?

Hints:

  • All frames of reference are equal. 
  • The mass of the small ball is negligible compared to the mass of the big ball, or, alternatively, the mass of the large ball can be seen as infinite. 

Submit your answer

Question 2 – Logic/CS

Given that there is only one correct answer for this question, which one is the correct answer? 

  1. Neither 2 nor 3 is the correct answer.
  2. Neither 3 nor 4 is the correct answer. 
  3. Trust me, this is the correct answer. 
  4. Neither 1 nor 2 is the correct answer. 

Submit your answer

Daily Puzzle 3: Dec 4

Question A – Chemistry

A man was going to bleach his socks because they had gotten muddy the day before. As he was pouring the bleach into the washing machine, he spilled some on the floor. He got some cleaning fluid and mopped it up with a rag. Minutes later he was dead.

What killed him?

Submit your answer


Question B – CS

Suppose that the following statements are true:
1. If it rains outside or Charlie fails his exam, he feels sad.
2. If Charlie feels sad and it rains outside, he practices
programming at home.
3. If Charlie feels sad and it does not rain outside, he rides a bike.
4. Charlie practices programming at home.

Which of the following statements must then be true?

i. Charlie rides a bike
ii. It does not rain outside
iii. Charlie does not feel sad

A. i only
B. ii only
C. iii only
D. None of them

Submit your answer

Daily Puzzle 2: Dec 3

Question A – Logic

In the town Gridly, the roads make a lovely square grid and one person lives at the intersection of two roads. The peaceful town was disturbed by a returned traveller who was infected with a strange disease. The disease is very infectious, but the germ only travels by road. Anyone who was infected with the disease will pass it onto the four people around it after a day. Unfortunately, only one person in this town was vaccinated (it is certainly not a smart town) and escaped the plague. After three days, almost everyone was infected, as illustrated in the graph above (the red dots are people infected).

Who got infected first?

Below is an example of how the disease might spread.

undefined

Day 0: Initial infection
undefined

Day 1: How infection spreads

Answer: B3


Question B – CS

Alice, Bob and Charlie are invited to a party. However, they still haven’t decided whether they will go to the party or not. If Alice goes then Bob will also go; if Alice and Bob both go, then Charlie will not go. Which of the following is/are possible situations? 

i. Only Alice and Bob go
ii. Only Alice and Charlie go
iii. Only Bob and Charlie go

A. i only
B. ii only
C. i and iii only
D. ii and iii only

Answer: C


Daily Puzzles 1: Dec 2

Question 1 – Chemistry

Drug TypeAmino Acids (change in mass after 1mg drug dosage)
SerineValine
A+8+2
B-8-5

In a patient, the current level of enzymes in the bloodstream has created a dangerous imbalance:

There is 

  • an overproduction of Valine by 12 mg and
  • an underproduction of Serine by 24 mg

In order to balance the amino acid, how much of each drug in mg should the patient receive?

Hint- simultaneous equations

Answer: 4mg of Serine and 4mg of Valine


Question 2 – CS

Percy needs to design exam paper with 40 questions. He wants to hire question writers to do the job.

Below is a list of prices for five question writers he can hire. 

WriterNumber of questionsCharge (in dollars)
Alice251000
Bob13450
Charlie16590
Daisy20770
Emily9330

Note that Percy cannot hire the same writer more than once.

What is the minimum amount (in dollars) that Percy needs to pay in total, so that he will have at least 40 exam questions? 

Answer: 1550.