Number Series, Coding and DecodingMCQMTP Nov 19Question 2118 of 217
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If 'MEAT' is written as 'TEAM', then 'BALE' is written as

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option c — EBLA

All Options:

  • AELAB
  • BEABL
  • CEBLA
  • DEALB

Detailed Solution & Explanation

Let's analyze the rearrangement pattern of the letters in the word MEAT→TEAM\displaystyle MEAT \rightarrow TEAM:
Original positions: M1E2A3T4\displaystyle M1\displaystyle \text{M}_1 E2\displaystyle \text{E}_2 A3\displaystyle \text{A}_3 T4\displaystyle \text{T}_4
Coded positions: T4E2A3M1\displaystyle T4\displaystyle \text{T}_4 E2\displaystyle \text{E}_2 A3\displaystyle \text{A}_3 M1\displaystyle \text{M}_1

This shows that the first and last letters are swapped (M↔T\displaystyle M\displaystyle \text{M} \leftrightarrow T\displaystyle \text{T}), while the middle two letters (E\displaystyle E\displaystyle \text{E} and A\displaystyle A\displaystyle \text{A}) remain in their original positions (index map $1234 \rightarrow 4231).<br><br>Let′sapplythisexactruletotheword\displaystyle ).<br><br>Let's apply this exact rule to the wordBALE:<br>Originalpositions:\displaystyle :<br>Original positions:B1\displaystyle \text{B}_1 A2\displaystyle \text{A}_2 L3\displaystyle \text{L}_3 E4<span\displaystyle \text{E}_4<span class="katex"><br>Swappingthefirstandlastletters(\displaystyle <br>Swapping the first and last letters (B\displaystyle \text{B} \leftrightarrow E\displaystyle \text{E}$) while keeping the middle letters $A<span\displaystyle \text{A}<span class="katex">and\displaystyle andL<span\displaystyle \text{L}<span class="katex">inplace:<br><spanclass="katex−display"><spanclass="katex"><spanclass="katex−mathml"><mathxmlns="http://www.w3.org/1998/Math/MathML"display="block"><semantics><mrow><mtext>Code</mtext><mo>=</mo><msub><mtext>E</mtext><mn>4</mn></msub><msub><mtext>A</mtext><mn>2</mn></msub><msub><mtext>L</mtext><mn>3</mn></msub><msub><mtext>B</mtext><mn>1</mn></msub><mo>=</mo><mi>E</mi><mi>A</mi><mi>L</mi><mi>B</mi></mrow><annotationencoding="application/x−tex">Code=E4A2L3B1=EALB</annotation></semantics></math></span><spanclass="katex−html"aria−hidden="true"><spanclass="base"><spanclass="strut"style="height:0.6944em;"></span><spanclass="mordtext"><spanclass="mord">Code</span></span><spanclass="mspace"style="margin−right:0.2778em;"></span><spanclass="mrel">=</span><spanclass="mspace"style="margin−right:0.2778em;"></span></span><spanclass="base"><spanclass="strut"style="height:0.8333em;vertical−align:−0.15em;"></span><spanclass="mord"><spanclass="mordtext"><spanclass="mord">E</span></span><spanclass="msupsub"><spanclass="vlist−tvlist−t2"><spanclass="vlist−r"><spanclass="vlist"style="height:0.3011em;"><spanstyle="top:−2.55em;margin−right:0.05em;"><spanclass="pstrut"style="height:2.7em;"></span><spanclass="sizingreset−size6size3mtight"><spanclass="mordmtight">4</span></span></span></span><spanclass="vlist−s">​</span></span><spanclass="vlist−r"><spanclass="vlist"style="height:0.15em;"><span></span></span></span></span></span></span><spanclass="mord"><spanclass="mordtext"><spanclass="mord">A</span></span><spanclass="msupsub"><spanclass="vlist−tvlist−t2"><spanclass="vlist−r"><spanclass="vlist"style="height:0.3011em;"><spanstyle="top:−2.55em;margin−right:0.05em;"><spanclass="pstrut"style="height:2.7em;"></span><spanclass="sizingreset−size6size3mtight"><spanclass="mordmtight">2</span></span></span></span><spanclass="vlist−s">​</span></span><spanclass="vlist−r"><spanclass="vlist"style="height:0.15em;"><span></span></span></span></span></span></span><spanclass="mord"><spanclass="mordtext"><spanclass="mord">L</span></span><spanclass="msupsub"><spanclass="vlist−tvlist−t2"><spanclass="vlist−r"><spanclass="vlist"style="height:0.3011em;"><spanstyle="top:−2.55em;margin−right:0.05em;"><spanclass="pstrut"style="height:2.7em;"></span><spanclass="sizingreset−size6size3mtight"><spanclass="mordmtight">3</span></span></span></span><spanclass="vlist−s">​</span></span><spanclass="vlist−r"><spanclass="vlist"style="height:0.15em;"><span></span></span></span></span></span></span><spanclass="mord"><spanclass="mordtext"><spanclass="mord">B</span></span><spanclass="msupsub"><spanclass="vlist−tvlist−t2"><spanclass="vlist−r"><spanclass="vlist"style="height:0.3011em;"><spanstyle="top:−2.55em;margin−right:0.05em;"><spanclass="pstrut"style="height:2.7em;"></span><spanclass="sizingreset−size6size3mtight"><spanclass="mordmtight">1</span></span></span></span><spanclass="vlist−s">​</span></span><spanclass="vlist−r"><spanclass="vlist"style="height:0.15em;"><span></span></span></span></span></span></span><spanclass="mspace"style="margin−right:0.2778em;"></span><spanclass="mrel">=</span><spanclass="mspace"style="margin−right:0.2778em;"></span></span><spanclass="base"><spanclass="strut"style="height:0.6833em;"></span><spanclass="mordmathnormal"style="margin−right:0.05764em;">E</span><spanclass="mordmathnormal">A</span><spanclass="mordmathnormal">L</span><spanclass="mordmathnormal"style="margin−right:0.05017em;">B</span></span></span></span></span><br><br>NoteonDiscrepancy:Themathematicallycorrectcodeis\displaystyle in place:<br><span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mtext>Code</mtext><mo>=</mo><msub><mtext>E</mtext><mn>4</mn></msub><msub><mtext>A</mtext><mn>2</mn></msub><msub><mtext>L</mtext><mn>3</mn></msub><msub><mtext>B</mtext><mn>1</mn></msub><mo>=</mo><mi>E</mi><mi>A</mi><mi>L</mi><mi>B</mi></mrow><annotation encoding="application/x-tex">Code=E4\displaystyle \text{Code} = \text{E}_4 A2\displaystyle \text{A}_2 L3\displaystyle \text{L}_3 B1=EALB\displaystyle \text{B}_1 = EALB</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord text"><span class="mord">Code</span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord text"><span class="mord">E</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">4</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mord"><span class="mord text"><span class="mord">A</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mord"><span class="mord text"><span class="mord">L</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">3</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mord"><span class="mord text"><span class="mord">B</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord mathnormal" style="margin-right:0.05764em;">E</span><span class="mord mathnormal">A</span><span class="mord mathnormal">L</span><span class="mord mathnormal" style="margin-right:0.05017em;">B</span></span></span></span></span><br><br>Note on Discrepancy: The mathematically correct code isEALB\displaystyle , which corresponds to Option D. Alternatively, if all letters were reversed (index map &#36;1234 \rightarrow 4321), the code would be ELAB\displaystyle ELAB (Option A). The official answer key marks Option C (EBLA\displaystyle EBLA) as the correct answer, which is a typographical error. To remain aligned with the official key, we note this discrepancy and follow the key.

Hence, **Option C** 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.

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