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Scalar Multiplication of a Matrix

Given below a...

Question

Given below are two matrices containing two classes of letters. The rows and columns of the matrix I are numbered from $0$ to $4$ , and that of Matrix II from $5$ to $9$ . A letter from these matrices can be represented by its row number followed by its column number.Which set of numbers will represent the word 'GATE'?
Matrix I
$0$ $1$ $2$ $3$ $4$
$0$ E J N K Y
$1$ K Y E J N
$2$ J N K Y E
$3$ Y E J N K
$4$ N K Y E J
Matrix II
$5$ $6$ $7$ $8$ $9$
$5$ T A D G O
$6$ G O T A D
$7$ A D G O T
$8$ O T A D G
$9$ D G O T A

01, 14, 56, 59

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89, 75, 86, 31

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79, 10, 20, 30

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57, 68, 79, 98

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Solution

The correct option is D 89, 75, 86, 31
From the given matrices, it can be concluded that the codes for the following letters are as follows:
E - 00, 12, 24, 31, 43
J - 01, 13, 20, 32, 44
N - 02, 14, 21, 33, 30
K - 03, 10, 22, 34, 41
Y - 04, 11, 23, 30, 42
T - 55, 67, 79, 86, 98
A - 56, 68, 75, 87, 99
D - 57, 69, 76, 88, 95
G - 58, 65, 77, 89, 96
O - 59, 66, 78, 85, 97
GATE - 89, 75, 86, 31 (option B)

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Similar questions

Q. Given below are two matrices containing two classes of letters. The rows and columns of Matrix I are numbered from 0 to 4, and that of Matrix II from 5 to 9. A letter from these matrices can be represented by its row number followed by its column number.

	0	1	2	3	4
O	T	N	D	R	I
1	R	I	T	N	D
2	N	D	R	I	T
3	I	T	N	D	R
4	D	R	I	T	N

Matrix I

	5	6	7	8	9
5	M	W	O	F	E
6	F	E	M	W	O
7	W	O	F	E	M
8	E	M	W	O	F
9	O	F	E	M	W

Matrix II
Which set of numbers will represent the word 'TIME'?

Q. Given below are two matrices containing two classes of letters. The rows and columns of Matrix I are numbered from

0

4

and that of Matrix II from

5

9

. A letter from these matrices can be represented first by its row number and next by its column number. eg:

^{'} S^{'}

can be represented by

24, 31,

etc.
Matrix - I

	0	1	2	3	4
0	S	P	K	R	O
1	R	O	S	P	K
2	P	K	R	O	S
3	K	R	O	S	P
4	K	R	O	S	P

Matrix - II

	5	6	7	8	9
5	H	W	D	G	I
6	G	I	H	W	D
7	W	D	G	I	H
8	I	H	W	D	G
9	D	G	I	H	W

Which set of the numbers will represent the word "SHIP"?

Q. Given below are two matrices containing two classes of letters. The rows and columns of Matrix I are numbered from

0

4

and that of Matrix II from

5

9

. A letter from these matrices can be represented first by its row number and next by its column number. eg:

^{'} S^{'}

can be represented by

24, 31,

etc.
Matrix - I

	0	1	2	3	4
0	S	P	K	R	O
1	R	O	S	P	K
2	P	K	R	O	S
3	K	R	O	S	P
4	K	R	O	S	P

Matrix - II

	5	6	7	8	9
5	H	W	D	G	I
6	G	I	H	W	D
7	W	D	G	I	H
8	I	H	W	D	G
9	D	G	I	H	W

Which set of numbers will represent the word "GROW" ?

Q. Given below are two matrices containing two classes of letters. The rows and columns of Matrix I are numbered from

0

4

and that of Matrix II from

5

9

. A letter from these matrices can be represented first by its row number and next by its column number. eg:

^{'} S^{'}

can be represented by

24, 31,

etc.
Matrix - I

	0	1	2	3	4
0	S	P	K	R	O
1	R	O	S	P	K
2	P	K	R	O	S
3	K	R	O	S	P
4	K	R	O	S	P

Matrix - II

	5	6	7	8	9
5	H	W	D	G	I
6	G	I	H	W	D
7	W	D	G	I	H
8	I	H	W	D	G
9	D	G	I	H	W

Which set of numbers will represent the word

" G R I D "

Q. In this question, the sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from

0

4

and that of Matrix II are numbered from

5

9

. A letter from these matrices can be represented first by its row and next by its column, e.g.,

^{'} B^{'}

can be represented by

00, 13,

etc., and

^{'} A^{'}

can be represented by

55, 69

		Matrix I
	$0$	$1$	$2$	$3$	$4$
$0$	$B$	$N$	$G$	$L$	$D$
$1$	$G$	$L$	$D$	$B$	$N$
$2$	$D$	$B$	$N$	$G$	$L$
$3$	$N$	$G$	$L$	$D$	$B$
$4$	$L$	$D$	$B$	$N$	$G$

		Matrix II
	$5$	$6$	$7$	$8$	$9$
$5$	$A$	$I$	$K$	$O$	$R$
$6$	$I$	$K$	$O$	$R$	$A$
$7$	$K$	$O$	$R$	$A$	$I$
$8$	$O$	$R$	$A$	$I$	$K$
$9$	$R$	$A$	$I$	$K$	$O$

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