NCERT Solutions Class 12 Computer Science Arrays

Question 1. Observe the following C++ code and find out, which out of the given options (i) to (iv) are the expected correct output. Also assign the maximum and minimum value that can be assigned to the variable ‘Go’.
void main()
{ int X [4] = {100, 75, 10, 125};
int Go = random(2) + 2;
for (int i = Go; i<4; i ++)
cout<<X [i]<<"$$";
}
(i) 100$$75
(ii) 75$$10$$125$$
(iii) 75$$10$$
(iv) 10$$125$
Answer:
(iv) is correct option
Max. Value = 3
Min. Value = 2

Short Answer Type Questions-II

Question 1. Write the definition of a function grace score (int score [], int size) in C ++, which should check all the elements of the array and give an increase of 5 to those scores which are less than 40.
Example: if an array of seven integers is as follows:
45,35,85,80,33,27,90
After executing the function, the array content should be changed as follows :
45,40,85,80,38,32,90
Answer:
void grace_score(int score[].int size)
{

for(int i=0;i<size;i++)
{
if (score [i]<40)
score [i]=score[i]+5;
cout< }
}

Question 2. Find the output of the following C+ + program:
#include<iostream.h> void repch(char s[]) { for(int i=0;s[i]!=’\0′;i++) { if(((i%2)!=0)
&&(s[i]!=s[i + 1])) { S[i]=’@’; cout<<“Hello”; } else if (s[i]==s [i + 1]) { s[i+1]=” ! ” ; i++ ; } } }
void main() { char str[]=”SUCCESS”; cout<<“Original String”<<str; repch(str);
cout<<“Changed String”<<str; }
Answer:
Original String SUCCESS
Changed String S@C!ES!

Question 3. Find the output of the following:
#include<iostream.h>
void switchover (int A[],int N, int split)
{
for(int K=0; K<N; K++)
if(K<split)
A [K] + = K;
else
A[K] *=K; }
void display(int A [],int N)
{
for (in K=0; K<N; K++)
(K%2==0)? Cout<<A[K]<<"%" :
cout<<A[K]<<endl;
}
void main()
{ int H [ ] = {30, 40, 50, 20, 10, 5};
switchover(H, 6, 3);
display(H, 6);
}
Answer:
30%41
52% 60
40% 25

Question 4. An integer array A [30] [40] is stored along the column in the memory. If the element A[20][25] is stored at 50000, find out the location of A[25] [30].
Answer:
A[i] [j] = B+W x [No. of rows x (I-Lr) + (J-Lc)]
A[20] [25] = B + 2x [30x (20-0) + (25-0)]
50000 = B+2x[30x(20-0)+(25-0)]
B = 48750
A[7] [10] = 48750+ 2x[30x(7-0)+(10-0)]
= 49190

Question 5. An array P[30][20] is stored along the column in the memory with each element requiring 2 bytes of storage. If the base address of the array P is 26500, find out the location of P[20][10].
Answer:
Total number of rows = 30
Total size = 2 bytes
Base Address = 26500
LOC(P[I][J]) = Base Address+((I-LBR)+(J- LBC)*R)W
Assuming Lower Bound of Row(LBR)=0
Lower Bound of Column(LBC)=0
Total number of Rows(R)=30
Size of each element(W)=2
LOC(P[20][10]) = 26500 + ((20-0)+(10-0)*30)*2
LOC(P[20][10]) = 26500 + 640
LOC(P[20][10]) = 27140

Question 6. Write a function to sort any array of n elements using insertion sort. Array should be passed as argument to the function.
Answer:
void insertsort (int a[],int n)
{
int p,ptr;
//Assuming a[0]=int_min i.e. smallest integer
for(p = 1; p<=n;p++)
{
temp=a[p];
ptr=p-1;

while (temp<a[ptr] )
{
a [ptr+1]=a[ptr] ; //Move Element
Forward
ptr--;
}
a[ptr+1]=temp; //Insert Element in Proper Place
}

Question 7. Write a function NewMAT(int A[][],int r, int c) in C++, which accepts a 2d array of integer and its size as parameters divide all those array elements by 6 which are not in the range 60 to 600(both values inclusive) in the 2d Array.
Answer:
void NewMAT(int A[] [] , int r,int c)
{
for (int i = 0; i<r; i+ + )
for (j=0; j=60)&&(A[1] [j)<=600))
A[i][j]/=6
OR
A[i] [j] =A[i] [j] /6;
}

Question 8. Write the definition of a function Alter (intA[], int N) in C++, which should change all the multiples of 5 in the array to 5 and rest of the elements as 0. For example, if an array of 10 integers is as follows:

A[0]  A[l]  A[2]  A[3]  A[4]  A[5]  A[6]  A[7]  A[8]  A[9]
55      43    20      16     39     90      83     40      48     25

After executing the function, the array content should be changed as follows:

A[0]  A[l]  A[2]  A[3]  A[4]  A[5]  A[6]  A[7]  A[8] A[9]
5         0      5       0        0       5        0       5        0      5
Answer:
void Alter (int A [] , int N)
{
for (int i=0; i<N; i++)
if (A[i] %5==0)

A [i] = 5;
else
A [i] = 0;
}
OR
Any other correct equivalent function definition

Question 9. A two dimensional array P[20] [50] is stored in the memory along the row with each of its element occupying 4 bytes, find the address of the element P[10] [30], if the element P[5] [5] is stored at the memory location 15000.
Answer:
Loc (P [I] [J] along the row =BaseAddress+W [(I-LBR)*C+ (J-LBC)]
(where C is the number of columns, LBR = LBC =0)
LOC (P [5] [5]) = BaseAddress + W* [I*C + J]
15000 = BaseAddress + 4 * [5 * 50 + 5]
= BaseAddress + 4 * [250 + 5]
= BaseAddress + 4*255 = BaseAddress + 1020
BaseAddress = 15000 -1020 = 13980
LOC (P [10] [30]) = 13980 + 4* [10 * 50 + 30]
= 13980 + 4 * 530
= 13980 + 2120
= 16100
OR LOC (P [10] [30])
= Loc (P[5] [5]) + W[ (I-LBR) * C+ (J-LBC)]
= 15000 + 4 [(10 – 5) * 50 + (30 – 5)]
= 15000 + 4 [5 * 50 + 25]
= 15000 + 4 *275
= 15000 + 1100
= 16100
OR
(where C is the number of columns and LBR = LBC = 1)
LOC (P [5] [5])
15000 = BaseAddress + W [(I-1) *C + (J-1)]
= BaseAddress + 4 [4*50 + 4]
= BaseAddress + 4 [200 + 4]
= BaseAddress + 4 * 204
= BaseAddress + 816
BaseAddress = 15000 – 816 = 14184
LOC (P [10] [30])
= 14184 + 4 [(10 -1) * 50 + (30 -1)]
= 14184 + 4 [9*50 + 29]
= 14184 + 4*479
= 14184 + 1916
= 16100

Question 10. Write the definition of function Change (int P[], int N) in C+ +, which should change all the multiples of 10 in the array to 10 and rest of the element as 1. For example, if an arrary of 10 integers is as follows:

P[0]   P[l]   P[2]   P[3]   P[4]   P[5]   P[6]   P[7]   P[8]   P[9]
100    43     20       56      32      91      80       40      45      21

After executing the function, the array content should be changed as follows:

P[0]   P[l]   P[2]   P[3]   P[4]   P[5]   P[6]   P[7]   P[8]   P[9]
10       1       10       1         1        1        10       10       1        1
Answer:
void Change (int P[ ] , int N)
{

for (int i = 0; i<N; i++)
if (P [i] % 10 == 0)
P [i] = 10;
else.
P [i] = 1;
}
OR
Any other correct equivalent function definition

Question 11. Write code for a function odd Even (int s[], int N) in C+ + , to add 5 in all the odd values and 10 in all the even values of the array S.
Example : If the original content of the array S is
50   11   19   24   28
The modified content will be:
60   16   24   34   38
Answer:
void oddEven (int s [] , int N)
{
for (int i=0; i<N; i++)
{
if(s[i]%2!=0)
s[i]=s[i]+5;
else
s[i]=s [i]+10;
}
}

Question 12. Write the definition for a function void Transfer (int A[6], int B[6]) in C++, which takes integer arrays, each containing 6 elements as parameters. The function should exchange all odd places (1st, 3rd and 5th) of the two arrays, for example if the array A contains
15   10   12   21   52   76
And if the array B contains
23   41   67   83   13   53
Then the function should make the contents of the array A as
15   41   12   83   52   53
And the contents of array B as
23   10   67   21   13   76
Answer:
void Transfer (int A [6] , int B[6] )
{
int temp;
for (int i=;i<6; i+ = 2)
{
temp=A [i]
A [i] =B [i]
B [i] +temp;
}
}

Question 13. Write a user-defined function DisTen (int A[] [4], int N, int M) in C++ to find and display all the numbers, which are divisible by 10. For example if the content of array is:
12   20   13
2     10   30
The output should be
20   10   30
Answer:
void DisTen (int A[] [4] , int N, int M)
{
int i, j;
for (i=0; i<M; i++)
{
for (j = 0 ; j <N; j++)
{
if (A[i][j]%10==0)
cout << A [i] [ j] ;
}
}
}

Question 14. Write code for a function void Changeover (int P[], int N) in C++, which re-positions all the elements of the array by shifting each of them to the next position and by shifting the last element to the first position.
For example: If the content of the array is:
0     1    2    3   4
12  15  17  13  21
The Changed Content will be:
0    1    2    3    4
21  12  15  17 13
Answer:
void ChangeOver (int P[] , int N)
{
int i, j, temp;
for (i=0; i<N; i = i+1)
{
j=j+1;
temp = P[i];
P[i] = P [j ] ;
P [j] = temp;
}
}

Question 15. Write code for a function void Convert (int T[], int Num) in C++, which re-positions all the elements of the array by shifting each of them one to one position before and by shifting the first element to the last position.
For example: If the content of the array is:
0     1    2   3     4
22  25  70  32  12
The changed Content will be:
0      1    2   3   4
25  70  32  12  22
Answer:
void Convert (int T[], int Num)
{
int i, j, temp;
for (i=Num; i > 10; i-=l)
{
j = i - 1;
temp = P [ i ] ;
P [i] = P[jl ;
P[j] = temp;
}
}

Question 16. Write a user-defined function DispNTen (int L[] [4], int R, int C) in C++ to find the display all the numbers, which are not divisible by 10. For example if the content of array is :
20   17   30
12   19   10
The output should be
17  12 19
Answer:
void DispNTen (int L[] [4], int R,
int C)

{
int i, j ;
for (i = 0 ; i<C; i + +)
{for (j = 0; j<R; j+ + )
{
if (A[i] [j]%10= =0)
cout <<A[i] [j]<<" ";
}
}
}

Question 17. Write a function Transfer (int A[], int B[], int Size) in C++ to copy the elements of array A into array B in such a way that all the negative elements of A appear in the beginning of B,followed by all the positive elements, followed by all the zeroes maintaining their respective orders in array A. For example :
If the contents of array A are :
7, -23,3,0, -8, -3,4,0
The contents of array B should be
-23, -8, -3,7,3,4,0
Answer:
void Transfer (int A[], int B[], int size)
{
for (int i = 0; i<size; i++)
{
if(A[i]<0) B [i] =A [i] ; if (A [i] > 0)
B[i+1]=A[i];
else
B[i/2]=A[i];
}
}

Question 18. A two dimensional array ARR[50] [20] is stored in the memory along the row with each of its elements occupying 4 bytes. Find the address of the element ARR[30][10], if the element ARR[10] [5] is stored at the memory location 15000.
Answer:
Loc (ARR[I] [J] along the row
= BaseAddress + W [(I – LBR) *C + (J – LBC)]
(where C is the number of columns, LBR = LBC = 0 LOC (ARR [10] [5])
= BaseAddress + W [I *C + J]
15000 = BaseAddress + 4 [10 * 20 + 5]
= BaseAddress + 4 [200 + 5]
= BaseAddress + 4 x 205
= BaseAddress + 820
BaseAddress = 15000 – 820
= 14180
LOC (ARR [30] [10]) = 14180 + 4 [30 * 20 + 10]
= 14180 + 4 * 610
= 14180 + 2440
= 16620
OR
LOC (ARR [30] [10]) = LOC (ARR [10] [5] + W [(I – LBR) * C + (J – LBC)]
= 15000 + 4 [(30-10) *20 + (10 – 5)]
= 15000 + 4 [20*20 + 5]
= 15000 + 4 *405
= 15000 + 1620
= 16620
OR
Where C is the number of columns and LBR=LBC=1
LOC (ARR[10] [5])
15000 = BaseAddress + W [(I -1) * C + (J-l)]
= BaseAddress + 4 [9*20 + 4]
= BaseAddress + 4[180 + 4]
= BaseAddress + 4 * 184
= BaseAddress + 736
BaseAddress = 15000 – 736
= 14264
LOC (ARR [30] [10])
= 14264 + 4 [(30 -1) * 20 + (10 -1)]
= 14264 + 4[29 *20 + 9]
= 14264 + 4 [580 + 9]
= 14264 + 4*589
= 14264 + 2356
= 16620

Question 19. Write a function SORTSCORE() in C++ to sort an array of structure IPL in descending order of score using selection sort.
Note : Assume the following definition of structure IPL:
struct IPL:
{
int Score;
char Teamname[20];
} ;
Answer:
void SORTSCORE (IPL a[] , int n)
{ int largest;
IPL temp;
for ( int K = 0; K <n-1; K++)
{ largest = K;
for ( int j = K+1; j< n; j++) { if ( a[j].score > a[largest]. score)
{ largest = j;
}
}
temp = a[K];
a[K] = a[largest];
a [largest] = temp;
}
}

Question 20. Write a function in C++ TWOTOONE() which accepts two array X[ ], Y[ ] and their size n as argument. Both the arrays X[ ] and Y[ ] have the same number of elements. Transfer the content from two arrays X[ ], Y[ ] to array Z[ ]. The even places (0,2,4…) of array Z[ ] should get the contents from the array X[ ] and odd places (1,3,5…) of array Z[ ] should get the contents from the array Y[ ].
Example : If the X[ ] array contains 30,60,90 and the Y[ ] array contains 10,20,50. Then Z[ ] should contain 30,10,60,20,90,50.
Answer:
void TWOTOONE (int x[] , int n)
{
int z[n] ;
for (int I =0;i<n;i++)
{
if(i%2 == 0)
z [i] = x [i] ;
else
z [i] = y [i] ;
}
}

Question 21. Write code for a function void EvenOdd (int T[], int C) in C+ + , to add 1 in all the odd values and 2 in all the even values of the array T.
Example : If the original content of the array T is
T[0]   T[l]   T[2]   T[3]   T[4]
35      12     16      69       26
The modified content will be:
T[0]   T[l]   T[2]   T[3]   T[4]
36      14     18      70       28
Answer:
void EvenOdd (intT [] , int(C)
{
for (int i=0; i<C; i++)
{
if (T[i] %2==0)
T [i] + = 2;
else
T[i] + = 1;
}
}

Question 22. Write a function SWAP2 CHANGE (int P[], int N) in C++ to modify the content of the array in such a way that the elements, which are multiples of 10 swap with the value present in the very next position in the array.
For example:
If the content of array P is
91,50,54,22,30,54
The content of array P should become
91,54,50,22,54,30
Answer:
void SWAP 2CHANGE (int P[], int N)
{
for (int i=0; i<N; i++)
{
if (P [i]% 10==0)
{
int temp=0;
temp=P[i];
P[i]=P [i+1] ;
P[i+1]=temp;
i++; //Go to next element
}
}
}

Question 23. Write a function SWAP2BEST (int ARR[], int Size) in C+ + to modify the content of the array in such a way that the elements, which are multiples of 10 swap with the value present in the very next position in the array.
For example:
If the content of array ARR is
90,56,45,20,34,54
The content of array ARR should become
56,90,45,34,20,54
Answer:
void SWAP2BEST (int ARR [] , int Size)
{
for (int n=0; n<size; n++)
{
if(ARR[n]%10 = =0)
{
int temp = 0;
temp = ARR [n];
ARR[n] = ARR[n+1];
ARR [n+1] = temp;
n++;
}
}
}

Question 24. Write the definition of a function AddTax(float Amt[], int N) in C + + , which should modify each element of the array Amt having N elements, as per the following rules :
Existing Value of Amt                  Amt to be changed to
If less than 50,000                        Add 25% in the existing value
If > =50,000 and <1,00,000          Add 20% in the existing value
If> =1,00,000                                Add 15% in the existing value
Answer:
void AddTax (Float Amt[] , int N)
{
for (int i=0; i<N; i++)

if(Amt[i]<50,000) Amt[i]+=0-25*Amt[i]; else if (Amt[i]>=50000&&Amt[i] <100000)
Amt[i]+=0.2*Amt[i]; else if(Amt[i]>=1,00000)
Amt[i]+=0.15*Amt[i];
}
TOPIC-2
Two-dimensional Arrays

 

Short Answer Type Questions-I

Question 1. Write a function Alternate (int A[] [3], int N, int M) in C + + to display all alternate elements from two-dimensional array A(starting from A[0][0]).
For example:
If the array is containing :
23 54 76
37 19 28
62 13 19
The output will be
23 76 19 62 19
Answer:
void Alternative (int A[] [3], intN, int M)
{
int T=0 ; I<N; I++)
for (int J=0 ; J {
if (T%2 = 0)
COUt << A[I] [J]<<" " ;
T++ ;
}
}
OR
void Alternative (int A[] [3] , intN, int M)
{
int *P=&A [0] [0] ;
for (int I = 0; I<N*M ; I+=2)
{
Cout<<*p<<" " ;
{ I+=2 ;
}
}

OR
Any other equivalent correct answer acceptable

Question 2. Write a function in C++ to print the sum of all the non-negative elements present on both the diagonal of a two dimensional array passed as the argument to the function.
Answer:
void Diagonal (int A[] [20] , int N)
{
int K, Sdiag=0;
for(int K=0;K<N;K++) if ( A[K] [K] > 0)
Sdiag+=A [K] [K] ;
for(int K= 0;K<N;K++) if ( A[N-K-1][K] > 0 )
Sdiag+=A[N-K-1] [K] ;
cout<<"Sum of all the non-negative elements on both the diagonals= "<<Sdiag;
}

Question 3. Write a user-defined function swap_row(int ARR[][3],int R,int C) in C++ to swap the first row values with the last row values : For example:
10   20   30
40   50   60
70   80   90
Then after function call, the content of the array should be:
70   80   90
40   50   60
10   20   30
Answer:
voidswap_row (intARR [] [3] , int R,int() )
{
for(int i=0 J=0: J<C;J++)
{
int temp=ARR[i][j];
ARR[i][j]=ARR[R-1][j];
ARR[R-1][j]=temp;
}
}

Question 4. Write a user-defined function SumLast 3 (int A [] [4], int N, int M) in C + + to find and display the sum of all the values, which are ending with 3 (i.e., units place is 3). Fdr example if the content of array is :
33   13   92
99   3   12
The output should be 49
Answer:
void SumLast 3 (int A[] [4], int N, int M)
{
int Sum=0;
for(int i=0; i<N; i++)
for(int j = 0; j <M; j ++)
{
If (((A[i] [j]-3)% 10==0))
Sum=Sum+A[i][j];
}
cout<<sum;
}

Question 5. Write a user-defined function AddEnd2(int A[] [4], int N, int M) in C+ + to find and display the sum of all the values, which are ending with 2 (i.e., units place is 2).
For example, if the content of array is:
22   16  12
19   5     2
The output should be 36
Answer:
void AddEnd2(int A[] [4], int N, int M)
{
int Sum=0;
for(int i=0; i<N; i++)
for(int j = 0; j<m;j++)
if(((A[i] [j]-2)%10 = = 0))

Sum=Sum + A[i] [j] ;
}
cout<<sum;
}

Question 6. Write a function in C++ which accepts a 2D array of integers and its size arguments and displays the elements which lie on minor diagonal. [Top right to bottom left diagonal] [Assuming the 2D array to be square matrix with odd dimension i.e. 3.3 , 5.5 , 7.7, etc …]
For example:
If the 2D array is
6 7 8
1 3 6
7 9 3
The following should be displayed :
8
3
7
Answer:
void diag (int x[] [] , int m, int n)
{
for (int i=m; i>0 ; i— —)
{
for(int j =0; j<n ; j++
{
if(i==j)
cout<<" "<<n[i] [j] ;
}
}
}

Question 7. Write a user-defined function int Sum Single(int A[4][4])in C++, which finds and returns the sum of all numbers present in the first row of the array, for example, if the array contains
1    13   10    9
29  17    2    21
14  3     12   31
15  16   25   52
Then the function should return 33.
Answer:
int SumSingle (int A[4] [4])
{
int Sum=0;
for(int i=0 ; i for (int j=0 ; j Sum=Sum+ A[i] [j]
return Sum;
}

Question 8. Write a function SKIPEACH(int H[] [3], int C, int R) in C+ + to display all alternate elements from two-dimensional array H (starting from H [0] [0]).
For example:
If the array is containing:
12 45 67
33 90 76
21 43 59
The output will be
12 67 90 21 59
Answer:
void SKIPEACH (int H[ ] [3], int C, int R)
{
for (int i = 0; i C; i + + )
{ for (int j = 0, j < R; j++)
{
if ( (i + j)%2 = =0)
cout<<H[i] [j]<< " " ;
}
}

Short Answer Type Questions-II

Question 1. An array P[15][10] is stored along the column in the memory with each element requiring 4 bytes of storage. If the base address of array P is 1400, find out the location of P[8][5].
Answer:
Loc (P[8][5]) = B+W((I-Lr)+(J-Lc)M)
= 1400+4((8-0)+(5-0)15)
= 1732.

Question 2. Given an array A[10][12] whose base address is 10000. Calculate the memory location of A[2][5] if each element occupies 4 bytes and array is stored column wise.
Answer:
w=4
b=10000
m=10
n[i][i] = [b+ w(i-l1) + m(j-l2)
n[2][5] = [10000+ 4(2-0) + 10(5-0)]
n[2][5] = [10000 +8 +50 ]
n[2][5] = 10058

Question 3. An array T[-1..35][-2..15] is stored in the memory along the row with each element occupying 4 bytes. Find out the base address and address of element T[20][5], if an element T[2][2] is stored at the memory location 3000. Find the total number of elements stored in T and number of bytes allocated to T.
Answer:
Take T[2][2] as the base address [BA],
sr=starting row, sc=starting column;
Along the row
A[i][j] = BA + size[nc*(i-sr) + (j-sc)]
T[20][5] = 3000 + 4 [ 18 * (20-2) + (5-2)]
= 3000 + 4[(18 * 18) + (3)]
= 3000 + 4[324 + 3]
= 3000 + 4(327)
= 3000 + 1308
= 4308
nc = no. of columns sr=2 sc=2
Total number of elements stored in T=37*18=666
Total number of bytes allocated to T=666*4=2664

Question 4. An array A[20] [30] is stored along the row in the memory with each element requiring 4 bytes of storage. If the base address of array A is 32000, find out the location of A[15][10].Also, find the total number of elements present in this array.
Answer:
Array A[20] [30]
Base Address = 32000
Size of element(W)=4 bytes
A[I][J]=A[15][10] hence I=15 and J=10
Total Row (R)=20
Total Column (C)=30
A [I] IJ]=B + W[C(I-0)+(J-0)]
A[15][10]=32000 +4[30(15-0)+(10-0)]
= 32000+4[30(15)+10]

= 32000+4[450+10]
= 32000+4[460]
= 32000+1840
= 33840

Question 5. An array T[25][20] is stored along the row in the memory with each element requiring 2 bytes of storage. If the base address of array T is 42000, find out the location of T[10][15].Also, find the total number of elements present in this array.
Answer:
Array A[25] [20]
Base Address = 42000
Size of element(W)= 2 bytes
A[I][J]=A[10][15] hence I=10 and J=15
Total Row (R) = 25
Total Column (C)= 20
A [I] [J] =B+ W[C(I-0)+(J-0)]
A[10] [15] =42000 +2[20(10-0)+(15-0)]
= 42000+2(20(10+15)]
= 42000+2[200+15]
= 42000+2(215]
= 42000+430]
= 42430

Question 6. An array S[10][15] is stored in the memory with each elements requiring 2 bytes of storage.If the base address of array S is 25000, determine the location of S[5] [10] if the array is S stored along the column.
Answer:
S[10][15] //Base address; 25000
W=2 bytes
S[5][10] =?
m(row)=0 i=5
n(column)=15 j=10
Array is stored in the memory along the column:
P[i][j] = Base address + u[i+mxj]
s[5][10] = 25000+2[5+10×10]
= 25000+2(5+100] [1]
= 25000+2[105]
= 25000+210
= 25210

Question 7. An array T[15][10] is stored along the row in the memory with each element requiring 8 bytes of storage. If the base address of array T is 14000, find out the location of T[10][7].
Answer:
Base Address = 14000 = B
T [I][J] = B + W [C[I-Ir] + (J-Jc)]
= 14000 + 8 [10(10-0)+(7-0)]
= 14000 + 8 x 107
= 14000 + 856
= 14856

Question 8. Each element of the array A[8][6] is stored using 4 bytes of memory. If the element A[2][4] is stored at location 936, find the address of A[5][1]. Assume that the array is stored in Row Major.
Answer:
nr=8 nc=6 size = 4 bytes
A[2][4] = 936 A[5][1] = ?
Formula for row-major
A[i][j] = BA + size * ((i – sr) * nc + (j – sc))
A[5][1] = A[2][4] + 4 * ((5 – 2) * 6 + (1 – 4))
= 936 + 4* ((3) *6-3)
= 936 + 4 * 15
= 936 + 60
A[5][l] = 996

Question 9. Write a function REVCOL (in P[] [5], int N, int int M) in C++ to display the content of a two dimensional array, with each column content in reverse order.
Note: Array may contain any number of rows. For example, if the content of array is as
follows:
15   12   56   45   51
13   91   92   87   63
11   23   61   46   81
The function should display output as:
11 23 61 46 81
13 91 92 87 63
15 12 56 45 51
Answer:
void REVCOL (int P[ ] [5], int N, int M)
{
for (int I = N - 1; I>=0; I- -)
{
for (int J = 0; J<M; J++)
Cout<<P[l] [J];
cout<<end1;
}
}
OR
void REVCOL (int P [] [5], int N, int M)
{
for (int I = 0; I<N/2; I++)
{
for (int J = 0; J<M; J++)
{
int T = P [I] [J] ;
P [1] [J] = P [N - I - 1] [J] ;
P[N-I-1] [J] = T;
}
}
for (I = 0; I<N; I++)
{
for (int J=0; J<M; J++)
cout<<P [I] [J] ;
cout<<end1;
}
}

Question 10. Write a function REVROW (int N, int M) in C + + to display the content of a two dimensional array, with each row content in reverse order.
For example, if the content of array is as follows:
15   12   56   45   51
13   91   92   87   63
11   23   61   46   81
The function should display output as follows:
51 45 56 12 15
63 87 92 91 13
81 46 61 23 81
Answer:
void REVROW (int P[] [5] , int N, int M)
{
for (int I =0;I<N;I++) {for (int J=M-1; J>=0; J- -)
cout<<P[I] [J];
cout<<end1;
}
}
OR
void REVROW (int P [] [5] , int N, int M)
{
for (int I=0; I<N; I++)
for (int J=0; J<M/2; J++)
{
int T = P [I] [J] ;
P [I] [j] = P[I] [M - J - 1] ;
P [I] [M - J - 1] = T;
}
}
for (I = 0; I<N; I++)
{
for (int J = 0; J<M; J++)
Cout<<P[I] [J] ;
cout<<end1;
}
}

Question 11. S[50][20] is a two dimensional array, which is stored in the memory along the row with each of its element occupying 4 bytes, find the address of the element S[5][15], if the element S[8][10] is stored at the memory location 62,000.
Answer:
LOC (S [I] [J] )
= Reference Address+W [ (I-Lr) *C+ (J-Lc) ]
LOC (S [5] [15] )
= LOC(5 [8] [10]+4[(15-10)*50+(5-8)]
= 62000 + 4 [5*50-3]
= 62000 + 988
= 62988

Question 12. Write definition for a function SHOWMID (int P[][5], int R, int C) in C++ to display the elements of first, third and fifth column from a two dimensional array P having R number of rows and C number of columns.
For example, if the content of array is as follows:
515   102   113   801   145
303   141   129   202   121
285   189   100   760   112

The function should display the following as output:
515 303 285
113 129 100
145 121 112
Answer:
void SHOWMID (intP[] [5],intR,int C)
{
for(int J=0; J<C; J++)
Cout<<P[R/2][J]<<" ";
cout<<end1;
for (int I=0;I<R;I++)
cout<<P[I] [C/2]<<" " ;
}

Long Answer Type Questions 

Question 1. T[20][50] is a two dimensional array, which is stored in the memory along the row with each of its element occupying 4 bytes, find the address of the element T[15][5], if the element T[10][8] is stored at the memory location 52000.
Answer:
T [20] [50]
Along the row
A [i] [j] = BA + size [((i – sr)*nc + j- sc)]
T [10] [8] = 52000
T [15] [5] =52000 + 4* ((15 – 10)*50 + (5-8))
= 52000 + 4* (250 + -3)
= 52000 + 4 * 247
= 52000 + 988
= 52988
Address = 52988

Question 2. Write definition for a function SHOWMID (int P[][5]), int R, int C) in C++ to display the elements of middle row and middle column from a two dimensional array P having R number of rows and C number of columns.
For example, If the content of array is as follows:
115 112 116 101 125
103 101 121 102 101
185 109 109 160 172
The function should display the following as output:
103 101 121 102 101
116 121 109
Answer:
void SHOWMID (int P[] [5] , int R, int C)
{
for(int J=0;J<C;J++)
cout<<P[R/2] [J] <<" " ;
cout<<end1;
for(int I=0;I<R;I++)
cout<<P[I][C/2]<<" ";
}

Question 3. R[20][50] is a two dimensional array, which is stored in the memory along the row with each of its element occupying 8 bytes, find the address of the element R[5][15], if the element R[8][10] is stored at the memory location 45,000.
Answer:
R[20] [50]
Along the row
A[i][j] = BA + size [(i – Sr)nc + (j-Sc)]
R[8][10] = 45000
R[5][15] = 45000+8* ((5 – 8)* 50 + (15 -10))
= 45000 + 8* (- 3*50 + 5)
= 45000 + 8* (-145)
= 45000-1160
R[5][15] = 43840

Array and their usage, sorting algorithm – selection sort and bubble sort, search in sorted array. The class objects compatible with all the class.

Question. What do you understand by Arrays? How you declare an Array?
Answer: An Array is a collection of variables of the same data type that are referenced by a common name. Array can be declared by the following statements: int n[]=new int[10];

Question. What are the different types of arrays?
Answer: (i) Single Dimensional Arrays: A list of items can be given one variable name using only one subscript and such a variable is called a single subscripted variable or a one or single dimensional array.
(ii) Multi Dimensional Arrays: This type of arrays are actually arrays of arrays.

Question. Why we use Arrays? or What are the Advantages of using Arrays.
Answer: The Advantages or Arrays are:
(i) Easy to Specify.
(ii) Free from run-time overload.
(iii) Random access of elements.
(iv) Fast Sequential Access.

Question. How can arrays be initialized?
Answer: Array can be initialized at the time of declaration by providing the value list at the same time.

Question. What do you understand by out-of-bound subscripts?
Answer: The subscripts other than 0 to n-1 for an array having n elements are called out-of-bounds subscripts.

Question. What do you mean by Binary Search?
Answer: This search technique searches the given ITEM in minimum possible compression. The Binary search requires the array must be sorted in any order. The search ITEM is compared with middle element of the array. If the ITEM is more then the middle element later part of the arrays becomes the new array segment. The same process is repeated until either the ITEM is found or the array segment is reduce to single element.

Question. Differentiate between linear search and binary search techniques?
Answer: In linear search each elements of the array is compared with the given item to be searched for one by one while binary search searches for the given item in a sorted array. The search segment reduces to half at every successive stage.

Question. State the conditions under which Binary Search is applicable?
Answer:Answer: For Binary Search The List must be sorted, lower bound upper bound and the sort order of the list must be known.

Question. Comment on the efficiency of linear search and Binary Search in relation to the number of element in the list being searched?
Answer: The Linear search compares the search item with each element of the array, one by one. If the search item happens to be in the beginning of the array, the compressions are low, however if the element to be searched for is one of the last elements of the array, this search technique proves the worst as so many comparisons take place. The Binary search on the other hand, tries to locate the search item in minimum possible comparisons, provided the array is sorted. This technique proves efficient in nearly all the cases.

Question. What do you mean by sorting?
Answer: Sorting of an array means arranging the array elements in a specified order.

Question. What is Selection sort?
Answer: In selection sort the smallest ( or largest depending upon the desired order) key from the remaining unsorted array is searched for and put in the sorted array. The process repeats until the entire array is sorted.

Question. What is Bubble sort?
Answer: In bubble sort the adjoining values are compared and exchanged if they are not in proper order. This process is repeated until the entire array is sorted.

Question. Which element is num[9] of the array num?
Answer: 10th element. Because the first index number/subscript value of an array is 0. So 9th element is treated as the 10th element in an array.