Goldbach Number ISC 2018

Question: A Goldbach number is a positive even integer that can be expressed as the sum of two odd primes.
Note: All even integer numbers greater than 4 are Goldbach numbers.
Example:
6 = 3 + 3
10 = 3 + 7
10 = 5 + 5
Hence, 6 has one odd prime pair 3 and 3. Similarly, 10 has two odd prime pairs, i.e. 3, 7 and 5, 5.
Write a program to accept an even integer ‘N’ where N > 9 and N < 50. Find all the odd prime pairs whose sum is equal to the number ‘N’.
Test your program with the following data and some random data:
Example 1:
INPUT:
N = 14
OUTPUT:
Prime pairs are:
3, 11
7, 7
Example 2:
INPUT:
N = 30
OUTPUT:
Prime numbers are:
7, 23
11, 19
13, 17
Example 3:
INPUT:
N = 17
OUTPUT:
Invalid input. Number is odd.
Example 4:
INPUT:
N = 126
OUTPUT:
Invalid input. Number is out of range.

Quiz ISC17

Question:
The result of a quiz competition is to be prepared as follows:
The quiz has five questions with four multiple choices (A, B, C, D), with each question carrying 1 mark for the correct answer. Design a program to accept the number of participants N such that N must be greater than 3 and less than 11. Create a double dimensional array of size (Nx5) to store the answers of each participant row-wise.
Calculate the marks for each participant by matching the correct answer stored in a single dimensional array of size 5. Display the scores for each participant and also the participant(s) having the highest score.
Example: If the value of N = 4, then the array would be:
Note: Array entries are line fed (i.e. one entry per line)
Test your program with the sample data and some random data:

Example 1
INPUT : N = 5
Participant 1 D A B C C
Participant 2 A A D C B
Participant 3 B A C D B
Participant 4 D A D C B
Participant 5 B C A D D
Key: B C D A A
OUTPUT : Scores :
Participant 1 D A B C C
Participant 1 = 0
Participant 2 = 1
Participant 3 = 1
Participant 4 = 1
Participant 5 = 2
Highest score: Participant 5
Example 2
INPUT : N = 4
Participant 1 A C C B D
Participant 2 B C A A C
Participant 3 B C B A A
Participant 4 C C D D B
Key: A C D B B
OUTPUT : Scores :
Participant 1 = 3
Participant 2 = 1
Participant 3 = 1
Participant 4 = 3
Highest score:
Participant 1
Participant 4
Example 3
INPUT : N = 12
OUTPUT : INPUT SIZE OUT OF RANGE.

Box Packing ISC17

Question : A company manufactures packing cartons in four sizes, i.e. cartons to accommodate 6 boxes, 12 boxes, 24 boxes and 48 boxes. Design a program to accept the number of boxes to be packed (N) by the user (maximum up to 1000 boxes) and display the break-up of the cartons used in descending order of capacity (i.e. preference should be given to the highest capacity available, and if boxes left are less than 6, an extra carton of capacity 6 should be used.)
Test your program with the sample data and some random data:
Example 1
INPUT : N = 726
OUTPUT :
48 x 15 = 720
6 x 1 = 6
Remaining boxes = 0
Total number of boxes = 726
Total number of cartons = 16
Example 2
INPUT : N = 140
OUTPUT :
48 X 2 = 96
24 x 1 = 24
12 x 1 = 12
6 x 1 = 6
Remaining boxes 2 x 1 = 2
Total number of boxes = 140
Total number of cartons = 6
Example 3
INPUT : N = 4296
OUTPUT : INVALID LENGTH