Lemon - Squeezy
Which fruit is yellow and curved?
Bananna
How many days are in a week?
7
Solve:
x+5=12
x=12−5=7
What is the time complexity of binary search, and why?
O(log n)
Because each step halves the search space, so the number of steps grows logarithmically with the size of the input.
Why can no object with mass reach the speed of light according to special relativity?
The relativistic energy of an object is
E=
1−v
2
/c
2
mc
2
As v→c, the denominator approaches zero, so energy approaches infinity. Since infinite energy is physically unattainable, a massive object cannot reach the speed of light.
How many fingers do most people have on one hand?
5
What is the opposite of “hot”?
Cold
What is the capital of France?
Paris
What is the area of a triangle with base 10 and height 7?
Area=21×10×7=35
Explain the “Ship of Theseus” paradox and provide one possible resolution.
The paradox asks: if every part of a ship is replaced over time, is it still the same ship? And if the original parts are reassembled elsewhere, which is the “real” ship? One resolution is psychological or functional continuity: the ship that maintains continuous history and function is considered the original. Identity is tied to continuity, not material composition.
Which animal barks? (As a pet)
Dog
Which country is known for the Great Wall?
China
What force pulls objects toward the Earth?
Gravity
Why do cells use ATP instead of directly using energy from glucose?
ATP acts as a quick, usable energy carrier. Energy from glucose is released in controlled steps and stored in ATP, which can be used immediately for cellular processes. Directly using glucose would be inefficient and harder to regulate.
Why is the Halting Problem undecidable?
Assume there exists a program H(P,I) that determines whether program P halts on input I. Construct a new program D(P):
What color does the sky appear to look like on a clear day?
Blue
What do plants need to make food using Photosynthesis?
Sunlight, water, and carbon dioxide
Which sentence is correct?
A) Their going to the store.
B) They’re going to the store.
B) They’re going to the store.
“They’re” means “they are,” which fits the sentence.
A farmer has 17 sheep. All but 9 run away. How many are left?
“All but 9” means 9 remain.
Answer: 9 sheep
Let G be a finite group of order p2(squared), where p is a prime. Prove that G is abelian.
By Lagrange’s theorem, the possible subgroup orders are 1,p,p
2
. A group of order p
2
has a nontrivial center Z(G) (class equation).
If ∣Z(G)∣=p 2, then Z(G)=G, so G is abelian. If ∣Z(G)∣=p, then G/Z(G) has order p, hence cyclic. A group whose quotient by its center is cyclic is abelian. Therefore, in all cases, G is abelian.
What is 1+1?
2
What is 5+3?
8
What is 34?
34=3×3×3×3=81
Solve for x:
2x+1+2x=48
Factor out 2
x
:
2
x
(2+1)=48
3⋅2
x
=48
2
x
=16
x=4
When did Jesus take his last breath? (List Month, Day, and Year)
April 3, 33AD