# The Last Ride Together Essay Sample

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- Word count:
**608** - Category: mathematics

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Question 1:

Write a program to input a start limit S (S>0) and the last limit L (L>0). Print all the prime triplets between S and L (both inclusive), if S<=L otherwise your program should ask to re-enter the values of S and L again with a suitable error message.

Algorithm:

* Start

* To input the lower limit

* To input the upper limit

* To run the outer loop

* To run inner loop

* To calculate total number of prime numbers between lower and upper limits

* To declare array with it’s number of elements as ‘s’

* To run the outer loop

* To run the inner loop

* To store the prime numbers in array a[]

* To run a loop for every position of array a[]

* If condition matches for the number for prime triplets

* Continue till all Prime Triplets are printed

Question 2:

A unique digit integer is a positive integer (without leading zeros) with no duplicate digits. For example 7, 135, 214 are all unique digit integers whereas 33, 3121, 300 are not. Given two positive integers m and n, where m<n, write a program to determine how many unique digit integers are there in the range between m and n (both inclusive) and output them.

Algorithm:

* Start

* To input the starting limit

* To input the last limit

* To run the outer loop

* To store the value of ‘i’ as a string

* To run the inner loop

* To run a nested loop of the inner loop

* To check for repetition of any digit in the number

* To store all the unique digit integers in a string

* To store the frequency of unique digit integers

* To print the unique digit integers and their frequency

Question 3:

Write a program which inputs Natural numbers N and M followed by integer arrays A[ ] and B[ ], each consisting of N and M numbers of elements respectively. Sort the arrays A[ ] and B[ ] in Ascending order of magnitude. Use the sorted arrays A[ ] and B[ ] to generate a merged array C[ ] such that the elements of A[ ] and B[ ] appears in C[ ] in Ascending order without any duplicate elements. Sorting of array C[ ] is not allowed.

Algorithm:

* Start

* To enter the limit of first array (<21)

* To enter the limit of the second array (<21)

* To run a loop

* To enter the two arrays

* To sort the two arrays using bubble sort technique

* To copy the two arrays into a single array

* To sort the merged array using bubble sort technique

* To run a loop

* To print the elements of the i-th position

* To go to the next index of the next number

Question 4:

Write a program to input and store n integers (n > 0) in a single subscripted variable and print each number with their frequencies of existence. The output should contain number, asterisk symbol and its frequency and be displayed in separate lines.

Algorithm:

* Start

* To enter capacity

* To enter the numbers in an array

* To run outer loop

* To run inner loop

* To sort the numbers in the array

* To run outer loop

* To run inner loop

* To transfer the values of the array in another array

* To check frequency and print

Question 5:

Write a program to input an arithmetic expression in String form which contains only one operator between two numeric operands. Print the output in the form of number. ( If more than one operators are present, an error output message “ INVALID EXPRESSION” should appear).