Number Series, Coding and DecodingMCQMTP Nov 18Question 2111 of 217
All Questions

In a certain code language 'EXAM' is coded as 39 'PAPER' is coded at 51 then PASS is coded as

Options

A39
B47
C489
D51
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option d — 51

All Options:

  • A39
  • B47
  • C489
  • D51

Ad

Detailed Solution & Explanation

Let's determine the coding rule using the alphabetical positions (A=1,B=2,…,Z=26\displaystyle A=1, B=2, \dots, Z=26):
1. For the word EXAM\displaystyle EXAM (number of letters, n=4\displaystyle n = 4):
Alphabetical values: E=5\displaystyle E = 5, X=24\displaystyle X = 24, A=1\displaystyle A = 1, M=13\displaystyle M = 13
Sum of values = 5+24+1+13=43\displaystyle 5 + 24 + 1 + 13 = 43
Subtracting the number of letters: Code=43−4=39\displaystyle \text{Code} = 43 - 4 = 39.

2. For the word PAPER\displaystyle PAPER (number of letters, n=5\displaystyle n = 5):
Alphabetical values: P=16\displaystyle P = 16, A=1\displaystyle A = 1, P=16\displaystyle P = 16, E=5\displaystyle E = 5, R=18\displaystyle R = 18
Sum of values = 16+1+16+5+18=56\displaystyle 16 + 1 + 16 + 5 + 18 = 56
Subtracting the number of letters: Code=56−5=51\displaystyle \text{Code} = 56 - 5 = 51.

From these examples, the rule is:
Code=∑(alphabetical positions)−n\text{Code} = \sum (\text{alphabetical positions}) - n where n\displaystyle n is the number of letters in the word.

Now, let's find the code for PASS\displaystyle PASS (n=4\displaystyle n = 4):
Alphabetical values: P=16\displaystyle P = 16, A=1\displaystyle A = 1, S=19\displaystyle S = 19, S=19\displaystyle S = 19
Sum of values = 16+1+19+19=55\displaystyle 16 + 1 + 19 + 19 = 55
Subtracting the number of letters: Code=55−4=51\displaystyle \text{Code} = 55 - 4 = 51.

Hence, **Option D** is the correct answer.

About This Chapter: Number Series, Coding and Decoding

Paper

Paper 3: Quantitative Aptitude

Weightage

5 Marks

Key Topics

Number series, Coding & Decoding, Odd man out

This chapter covers Number series, Coding & Decoding, Odd man out and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 5 Marks weightage. Focus on understanding core concepts rather than memorizing.

Related Comparison Tables

Cardinal vs Ordinal Utility: Measuring SatisfactionPromissory Note vs Bill of Exchange: Negotiable Instruments

More Questions from Number Series, Coding and Decoding

The number in place of question mark in: 7,26,63,124,215,?,511\displaystyle 7, 26, 63, 124, 215, ?, 511 is

Find missing term 7,26,63,124,215,342,?\displaystyle 7, 26, 63, 124, 215, 342, ?

Which number should come next 7,26,63,124,215,342,?\displaystyle 7, 26, 63, 124, 215, 342, ?

If CLOCK is coded as 34235 and TIME as 8679, then MOTEL is coded as:

If MOUSE, is coded as 34651 and KEY is coded as 217, then how will YES be coded?

In a certain code language PREMONITION is written as 68530492904\displaystyle 68530492904, how will the word MONITOR be written in that code language?

Ready to Master Number Series, Coding and Decoding?

Practice all 217 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free