Example 1: Find the missing term of the series 2, 7, 16, ______ , 46, 67, 92
Explanation: The pattern in the series involves increasing the numbers by progressively larger amounts:
+5, +9, +13, +17, +21, +25, ...
So,
2 + 5 = 7
7 + 9 = 16
Therefore, the missing term is: 16 + 13 = 29
Example 2: Find the wrong term in the series 9, 29, 65, 126, 217, 344
Explanation: The correct pattern in the series is:
23 + 1; 33 + 1; 43 + 1; 53 + 1; 63 + 1; 73 + 1
Here, 29 is the incorrect term in the series.
Example 3: Find the missing term of the series 1, 9, 25, 49, 81, 121, .............
Solution: The given terms in the series are the squares of consecutive odd numbers:
12, 32, 52, 72, ...
So, the missing value is: 132 = 169
Example 4: In the given series, BKS, DJT, FIU, HHV, each term follows a pattern where:
First Blank: The first blank should be filled with 'b' to maintain the pattern of two 'a's followed by two 'b's.
Second Blank: The second blank should be filled with 'a' to ensure there are three 'a's followed by three 'b's.
Third Blank: The last blank must be filled with 'a'.
Possible Answers: This leads to two possible answers: 'baa' and 'bba'.
Correct Option: However, only 'baa' is present in the alternatives.
Therefore, the correct answer is (a) 'baa'.
Case1: To form the code for another word
Example 6: If in a certain language MYSTIFY is coded as NZTUJGZ, how is MENESIS coded in that language?
Explanation: Clearly, each letter in the word MYSTIFY is moved one step forward to obtain the corresponding letter of the code.
So, in MENESIS, N will be coded as O, E as F, M as N and so on. Thus, the code becomes NFOFTJT.
Example 7: If TAP is coded as SZO, then how is FRIEND coded?
Explanation: Clearly each letter in the word TAP is moved one step backward to obtain the corresponding letter of the code.
Thus, in FRIEND, F will be coded as E, R as Q , I as H, E as D, N as M and D as C. So, the code becomes EQHDMC.
Example 8: In a certain code, MENTION is written as LNEITNO. How is PRESENT written in that code?
Explanation: Clearly, to obtain the code, the first letter of the word MENTION is moved one step backward and the remaining letters are Reversed in order, taking two at a time. So, in PRESENT, P will be coded as O, and the sequence of the remaining letter in the code would be ERESTN. Thus the code becomes OERESTN. Hence, The answer is OERESTN.
Case 2: To find the word by analysing the given code (DECODING)
Example 9: If in a certain language CARROM is coded as BZQQNL, which word will be coded as HORSE?
Explanation: Each letter of the word is one step ahead of the corresponding letter of the code
So, H is coded as I, O as P, R as S, S as T and E as F. HORSE is coded a IPSTF.
Explanation: As given the letters are coded asSo in AICCI, A is coded as 1, I as 9,and C as 3. Thus, AICCI is coded as 19339.
Example 11: If PAINT is coded as 74128 and EXCEL is coded as 93596, then how would you encode ANCIENT ?
Explanation: Clearly, in the given code, the alphabets are coded as follows:So, in ANCIENT, A is coded as 4, N is coded as 2, C as 5, I is coded as 1, E as 9, and T as 8. Hence, the correct code is 4251928.
Case 2: Number to letter coding.
Example 12: In a certain code, 2 is coded as P, 3 as N, 9 as Q, 5 as R, 4 as A and 6 as B. How is 423599 coded in that code?
Explanation: Clearly as given, 4 as A, 2 as P, 3 as N and 5 is coded as R, 9 as Q. So, 423599 is coded as APNRQQ.
Explanation: All the months above are 31 days , whereas , November 30 days
Example 14: 14: 10, 14, 16, 18, 23, 24 and 26
(a) 26
(b) 17
(c) 23
(d) 9
Ans: (c)
Explanation: Each of the above series are even number, except 23.
Example 15: 6, 9, 15, 21, 24, 26, 30
(a) 9
(b) 26
(c) 24
(d) 30
Ans: (b)
Explanation: All are multiples of 3, except 26, answer (b)
Example 16: 1, 5, 14, 30, 51, 55, 91
(a) 5
(b) 55
(c) 51
(d) 91
Ans: (c)
Explanation: Each pattern is 12, 12 + 22, 12 + 22 + 32, 12 + 22 + 32 + 42, 12 + 22 + 32 + 42+ 52, 12 + 22 + 32 + 42 + 52 + 62
But 51, is not of the form.
Example 17: 16, 25, 36, 62, 144, 196, 225
(a) 36
(b) 62
(c) 196
(d) 144
Ans: (b)
Explanation: Each of the number except 62, is a perfect square.
114 videos|164 docs|98 tests
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1. What is letter coding and how is it used in competitive exams? |
2. What is number coding and what types of questions can be expected in exams? |
3. How can I identify the odd man out in a series of numbers? |
4. What strategies can be employed to solve coding and decoding questions effectively? |
5. Are there any specific tips for preparing for the coding and decoding section in competitive exams? |
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