COS2611
2
, COS2611/101
EXAM PACK
LATEST QUESTIONS AND CORRECT
ANSWERS PROVIDED
MCQ
1.Which of the following functions is ordered by growth rate from largest to
smallest? ORDERS OF MAGNITUDE (small to large): 1, N, log , Nlog , N , N , 2 , N! a.
Nlog , 2 , N , 2
b. 2 , Nlog , N , 2
c. 2 , N , Nlog , 2
d. 2 , 2 , N , Nlog
e. 2 , N , 2 , Nlog
2. What is the running time of the following code fragment?
for (int i = 0; i < 5n; i++) 1; 5N + 1; 5N = 10N + 2
sum++; O(N)
a. O(1)
b. O(N)
c. O(log )
d. O(Nlog )
e. O(N )
Questions 3, 4 and 5 refer to the following code fragment:
1. for (int j = 1; j <= 10000; j *= 2) 1; 10001; 10000/2 = O (1)
2. for (int k = 1; k <= n; k++) 1; N + 1; N = 2N + 2
3. sum++; (2N + 2) ∗ 1
4. for (int p = n; p > 1; p /= 2) 1; N + 1; log= N + 2 + log
5. for (int q = 0; q < 500; q++) 1; 501; 500 = O (1)
6. sum--; (log + N + 2) ∗ 1
2. How many times is statement 3 executed?
3
2
, COS2611/101
EXAM PACK
LATEST QUESTIONS AND CORRECT
ANSWERS PROVIDED
MCQ
1.Which of the following functions is ordered by growth rate from largest to
smallest? ORDERS OF MAGNITUDE (small to large): 1, N, log , Nlog , N , N , 2 , N! a.
Nlog , 2 , N , 2
b. 2 , Nlog , N , 2
c. 2 , N , Nlog , 2
d. 2 , 2 , N , Nlog
e. 2 , N , 2 , Nlog
2. What is the running time of the following code fragment?
for (int i = 0; i < 5n; i++) 1; 5N + 1; 5N = 10N + 2
sum++; O(N)
a. O(1)
b. O(N)
c. O(log )
d. O(Nlog )
e. O(N )
Questions 3, 4 and 5 refer to the following code fragment:
1. for (int j = 1; j <= 10000; j *= 2) 1; 10001; 10000/2 = O (1)
2. for (int k = 1; k <= n; k++) 1; N + 1; N = 2N + 2
3. sum++; (2N + 2) ∗ 1
4. for (int p = n; p > 1; p /= 2) 1; N + 1; log= N + 2 + log
5. for (int q = 0; q < 500; q++) 1; 501; 500 = O (1)
6. sum--; (log + N + 2) ∗ 1
2. How many times is statement 3 executed?
3