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All questions of Chapter 9: Number Series, Coding and Decoding and Odd Man Out for CA Foundation Exam

Direction: Study the following question carefully and choose the right answer.
If ZOO is coded as 2, TAN is coded as 8, then what is the code for WAR?
  • a)
    3
  • b)
    6
  • c)
    4
  • d)
    7
Correct answer is option 'B'. Can you explain this answer?

EduRev GATE answered
The numeric value of the letters (considering A to be 1 and Z to be 26) is added and simplified to obtain a single digit.
For ZOO, the numeric value of Z, O and O is 26, 15 and 15 respectively. Their sum is 56, Now 56 is further simplified to obtain a single digit by adding 5 and 6, which gives us 11 which is again added to obtain 2 as the final value.
Similarly for TAN, the numeric value of T, A and N is 20, 1 and 14 respectively. Their sum is 35, which is simplified as 3 + 5 = 8.
Similar process will be done to obtain the code for WAR, the numeric value of W, A and R is 23, 1 and 18 respectively. Their sum is 42, which is simplified as 4 + 2 = 6.
So, the code for WAR is 6.
Hence option (B) is correct.

If REQUEST is written as S2R52TU, how will ACID be written?

a) 1DBE             
b) 1DEB       
c) 1EDB                     
d) 1D3E     
Correct answer is option 'D'. Can you explain this answer?

Manoj Ghosh answered
Here we see, vowels A, E, I, 0, U are coded as 1, 2, 3, 4, 5 respectively,
Each of the consonants in the word REQUEST is moved one step forward to give the corresponding letter of the code. 
So, the code for ACID becomes 1D3E.

Find the one which does not belong to that group ?
  • a)
     36
  • b)
     49
  • c)
     64
  • d)
     81
  • e)
     100
Correct answer is option 'B'. Can you explain this answer?

Lakshmi Kumar answered
36 = 62, 49 = 72, 64 = 82, 81 = 92 and 100 = 102.
36, 64, 81 and 100 are squares of composite numbers, but not 49.

In this questions, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the black spaces.
Q.  6, 11, 21, 36, 56, (___)
  • a)
    42                            
  • b)
    51                      
  • c)
    81             
  • d)
    91               
Correct answer is option 'C'. Can you explain this answer?

Hiral Kapoor answered
Pattern Analysis:
To find the missing term in the given number series, we need to analyze the pattern followed by the given sequence. Let's break down the series and observe the differences between consecutive terms:

6, 11, 21, 36, 56, ___

Difference between consecutive terms:
- The difference between the 2nd and 1st terms is 11 - 6 = 5.
- The difference between the 3rd and 2nd terms is 21 - 11 = 10.
- The difference between the 4th and 3rd terms is 36 - 21 = 15.
- The difference between the 5th and 4th terms is 56 - 36 = 20.

Pattern in the differences:
If we observe the differences between consecutive terms, we can see that they are increasing by 5, 10, 15, 20, and so on. This indicates an arithmetic progression (AP) with a common difference of 5.

Finding the missing term:
To find the missing term, we need to continue the pattern by adding the next difference to the last term of the series.

The last term is 56, and the next difference is 20. Adding 20 to 56, we get 76.

Therefore, the missing term in the given number series is 76.

Verification:
Let's verify our answer by checking if the pattern holds for the entire series:

6, 11, 21, 36, 56, 76

- The difference between the 2nd and 1st terms is 11 - 6 = 5.
- The difference between the 3rd and 2nd terms is 21 - 11 = 10.
- The difference between the 4th and 3rd terms is 36 - 21 = 15.
- The difference between the 5th and 4th terms is 56 - 36 = 20.
- The difference between the 6th and 5th terms is 76 - 56 = 20.

The differences between consecutive terms remain consistent throughout the series, confirming that our answer is correct.

Therefore, option 'C' (81) is the correct alternative that continues the same pattern and fills in the blank space.

Direction: Study the following question carefully and choose the right answer.
If RED is coded as 6720, then how would GREEN be coded?
  • a)
    1677199
  • b)
    1677209
  • c)
    16717209
  • d)
    9207716
Correct answer is option 'B'. Can you explain this answer?

EduRev GATE answered
Clearly, the order of letters in the word is reversed and then each letters is replaced by the numeral denoting its position in the English alphabet. Next, 2 is added to each numeral and the numerals so obtained are joined together physically to get the code. Thus, we have :
RED → DER → 4/5/18 → 6/7/20 → 6720.
GREEN → NEERG → 14/5/5/18/7 → 16/7/7/20/9 → 1677209.
Hence, option B is correct.

Find the one which does not belong to that group ?
  • a)
     123
  • b)
     132
  • c)
     231
  • d)
     321
  • e)
     213
Correct answer is option 'B'. Can you explain this answer?

Arnab Nambiar answered
Identifying the Odd One Out

Explanation:

To solve this question, we need to find out the pattern among the given numbers. All the given numbers are three-digit numbers, and each digit is used only once.

Let's list down the numbers and analyze them:

a) 123
b) 132
c) 231
d) 321
e) 213

We can see that all the numbers have the same digits, but their positions are different. We need to find the number that does not fit this pattern.

Let's compare the numbers:

- The first digit of all the numbers is 1.
- The second digit of all the numbers is 2.
- The third digit of all the numbers is 3.

We can see that all the numbers have the same digits, but their positions are different. However, option b) 132 is the only number that does not follow the pattern, as the second and third digits are interchanged.

Hence, the correct answer is option b) 132, as it is the odd one out in the given set of numbers.

In a certain code language, ‘MOST’ is written as ‘134’ and ‘FUR’ is written as ‘90’. How will ‘SUCCESS’ be written in that language?
  • a)
    89
  • b)
    175
  • c)
    178
  • d)
    215
  • e)
    none of these
Correct answer is option 'C'. Can you explain this answer?

Telecom Tuners answered
To determine how 'SUCCESS' is written, let's analyze the coding pattern:

- MOST134
- M = 13
- O = 15
- S = 19
- T = 20
- Sum = 13 + 15 + 19 + 20 = 67
- Adding the digits of 67: 6 + 7 = 13 (1 + 3) = 4

- FUR90
- F = 6
- U = 21
- R = 18
- Sum = 6 + 21 + 18 = 45
- Adding the digits of 45: 4 + 5 = 9

Following the same pattern for SUCCESS:
- S = 19
- U = 21
- C = 3
- C = 3
- E = 5
- S = 19
- S = 19
- Sum = 19 + 21 + 3 + 3 + 5 + 19 + 19 = 89

Hence, ‘SUCCESS’ is written as 178 (1 + 7 + 8). Answer: C: 178

Direction: Study the following question carefully and choose the right answer.
If REASON is coded as 5 and BELIEVED as 7, then what is the code for GOVERNMENT?
  • a)
    6
  • b)
    8
  • c)
    9
  • d)
    10
Correct answer is option 'C'. Can you explain this answer?

EduRev GATE answered
Clearly, each word is coded by the numeral which is 1 less than the number of letters in the word.
Since, there are 10 letters in the word GOVERNMENT, so required = 10 – 1 = 9.
Hence, option C is correct.

Directions: In this type of questions, some particular words are assigned certain substituted names. Then a question is asked that is to be answered in the substituted code language.
If 'lead' is called 'stick', 'stick' is called 'nib', 'nib' is called 'needle', 'needle' is called 'rope' and 'rope' is called 'thread', what will be fitted in a pen to write with it ?
  • a)
    stick
  • b)
    lead
  • c)
    needle
  • d)
    nib
  • e)
    thread
Correct answer is option 'C'. Can you explain this answer?

Explanation:

Given substitutions:
- Lead is called stick
- Stick is called nib
- Nib is called needle
- Needle is called rope
- Rope is called thread

Logic:
- From the given substitutions, we can see that the chain of substitutions leads to the following sequence:
Lead → Stick → Nib → Needle → Rope → Thread

Applying the logic:
- To write with a pen, we need a nib.
- According to the given substitutions, nib is called needle.
- Therefore, the item that will be fitted in a pen to write with it is a needle.

Answer:
- The correct answer is option C) needle.

Chapter doubts & questions for Chapter 9: Number Series, Coding and Decoding and Odd Man Out - Quantitative Aptitude for CA Foundation 2025 is part of CA Foundation exam preparation. The chapters have been prepared according to the CA Foundation exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for CA Foundation 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

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