MATH 1MP3 * TEST 1

1. Multiple choice questions: circle ONE answer. No justification is needed.

(a) [2] Consider the string s="February"

Determine which of the following are true when Python executes the command.

(I) print(s[:3]) prints the string Feb

(II) print(s[-1]) prints the string r

(III) print('a' in s) prints True

(A) none

(B) I only

(C) II only

(D) III only

(E) I and II

(F) I and III

(G) II and III

(H) all three

(b) [2] What is the outcome of the following Python code?

x = 3
def add_x(x):
    print(x + 3)
    return x + 2
print(add_x(2))
print(x)

2. (a) [3] Write a code that computes the sum of all numbers between 1 and 100 that are divisible by 8.

sum_of_numbers = 0

for i in range(1, 101):
    if i % 8 == 0:
        sum_of_numbers += i

print(sum_of_numbers)

(b) [3] Write a function partial sum(max) that computes the partial sum of the harmonic series $\sum_{i=1}^{\infty} \frac{1}{i}$, but stops if the sum ever exceeds some maximum number max .

def partial_sum(max_value):
    total = 0
    i = 1
    while True:
        total += 1/i
        if total > max_value:
            break
        i += 1
    return total

# 示例使用:
result = partial_sum(3)
print(result)

3. (a) [2] Using list comprehension, create a list L1 of all numbers between 1 and 100 that are divisible by both 3 and 5.

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