Directions : Read the given information carefully and answer the questions…
2023
Directions : Read the given information carefully and answer the questions based on it:
There is a matrix contains 4 rows (I, II, III and IV) top to bottom and 4 columns (I, II, III and IV) left to right.
Meaningful Word will be formed only when we go left to right in row and top to bottom in column.
Condition:
• No letters are repeated more than twice.
• Alphabets are coded as A-1, B-2, C-3, D-4, E-5, F-1, G-2, H-3, I-4…………. Y-5, Z-1.
• Place value of column and row are added to get cell value of particular row or column.
• If a column/row has one letter then the entire column/row should not have that letter. For ex- if row 1
and column 1 has ‘M’ letter then that letter should not be repeated in entire row 1 and column 1.
4 letter meaningful word has to be formed in each column:
In column I: I, II, IV positions contain letter V, A, T respectively.
In column II: III, IV positions contain letter H, O respectively.
In column III: II position contain letter R.
In column IV: I, III, IV position contain letter N, T, S respectively.
What is the sum of the positional value of the letter in (I, IV) and (III, II), where the bracket represents (row, column)?
- A.
6
- B.
8
- C.
5
- D.
7
- E.
None of the above
Attempted by 8 students.
Show answer & explanation
Correct answer: D
Concept
Each letter has a fixed cyclic code that repeats every five letters: A=1, B=2, C=3, D=4, E=5, then F=1, G=2, H=3, I=4, J=5, and so on (Z=1). So a letter's code is found by taking its alphabet position, dividing by 5, and reading the remainder (a remainder of 0 counts as 5).
Application
The cells asked for are addressed as (row, column). The grid already fixes both letters directly:
(I, IV) means row I, column IV. Column IV is given as N at position I, so this cell is the letter N.
(III, II) means row III, column II. Column II is given as H at position III, so this cell is the letter H.
Now apply the cyclic code to each letter:
N is the 14th letter. 14 = 2x5 + 4, remainder 4, so the code of N is 4.
H is the 8th letter. 8 = 1x5 + 3, remainder 3, so the code of H is 3.
Add the two codes: 4 + 3 = 7.
Hence the required sum is 7.
Cross-check
Read the code straight off the repeating block A-B-C-D-E = 1-2-3-4-5: N falls in the block N-O-P-Q-R lining up with A-B-C-D-E only after the cycle, but counting in fives from K(=1), L=2, M=3, N=4 confirms N=4; and F=1, G=2, H=3 confirms H=3. 4 + 3 = 7, matching the value above.