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All questions of Number & Alphabetical Series for SSC MTS / SSC GD Exam

Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?
  • a)
    12
  • b)
    14
  • c)
    27
  • d)
    53
Correct answer is option 'B'. Can you explain this answer?

Vikas Choudhury answered
Explanation:
In this series, each number is repeated, and then 13 is subtracted to arrive at the next number.
The pattern can be described as follows:
● The first number is 53, and it is repeated.
● Then, 13 is subtracted from the first number to get the second number, which is 40.
● The second number is then repeated.
● Again, 13 is subtracted from the second number to get the third number, which is 27.
● The third number is repeated.
● Finally, 13 is subtracted from the third number to get the next number in the series, which is 14.
Therefore, the answer is 14, as it follows the established pattern in the series.

You can study more about Number Series through the document: 
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Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next?
  • a)
    7
  • b)
    10
  • c)
    14
  • d)
    15
Correct answer is option 'D'. Can you explain this answer?

Alok Verma answered
This alternating addition series begins with 3; then 1 is added to give 4; then 3 is added to give 7; then 1 is added, and so on.

In this following questions, various terms of the letter series are given with one term missing as shown by (?). Choose the missing term out of the given alternative.
Q. 
Z, U, Q, ?, L
  • a)
    I                               
  • b)
    K                       
  • c)
    M                                                                      
  • d)
    N   
Correct answer is option 'D'. Can you explain this answer?

Amrita choudhary answered
Given series: Z, U, Q, ?, L

To find: Missing term in the series

Observations:

- The series is a combination of letters in reverse alphabetical order.
- The letters are placed at an interval of 4 positions from each other.

Method:

- We can find the missing term in the series by following the same pattern.
- Starting from L, we need to add 4 positions to it to get the next term.
- We repeat the process until we get the missing term.

Calculation:

- Starting from L, adding 4 positions, we get H.
- Adding 4 positions to H, we get D.

Therefore, the missing term in the series is D.

Hence, the correct answer is option (d) D.

Look at this series: 2, 1, (1/2), (1/4),...so on. What number should come next?
  • a)
    (1/3)
  • b)
    (1/8)
  • c)
    (2/8)
  • d)
    (1/16)
Correct answer is option 'B'. Can you explain this answer?

Varun Kapoor answered
This is a simple division series, each number is one-half of the previous number.
In other terms to say, the number is divided by 2 successively to get the next result.
► 4/2 = 2
► 2/2 = 1
► 1/2 = 1/2
► (1/2) / 2 = 1/4
► (1/4) / 2 = 1/8 and so on.

Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?
a)7
b)10
c)12
d)13
Correct answer is 'B'. Can you explain this answer?

Raghavendra Sharma answered
This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.

In this following questions, various terms of the letter series are given with one term missing as shown by (?). Choose the missing term out of the given alternative.
Q. U, O, I,  ?, A
  • a)
    E                                                              
  • b)
    C                       
  • c)
    S                                                        
  • d)
    G   
Correct answer is option 'A'. Can you explain this answer?

Pallavi khanna answered
The given letter series is U, O, I, ?, A. We need to find the missing term.

Pattern:
When we look at the given series, we can observe the following pattern:
- The series is a combination of vowels and consonants.
- The vowels are placed alternatively in descending order of their alphabetical position.
- The consonants are placed alternatively in ascending order of their alphabetical position.

Using this pattern, we can find the missing term.

Solution:
- The first vowel in the series is U, which is the 21st letter of the English alphabet.
- The next vowel should be placed two positions before U in the alphabet.
- Therefore, the next vowel should be S, which is the 19th letter of the alphabet.
- The first consonant in the series is O, which is the 15th letter of the alphabet.
- The next consonant should be placed two positions after O in the alphabet.
- Therefore, the next consonant should be Q, which is the 17th letter of the alphabet.
- The next vowel should be placed two positions before S in the alphabet.
- Therefore, the missing term should be E, which is the 5th letter of the alphabet.
- The last letter in the series is A, which is the 1st letter of the alphabet.

Therefore, the missing term in the series is E, which is option (a).

In this following questions, various terms of the letter series are given with one term missing as shown by (?). Choose the missing term out of the given alternative.
Q.  b,e,d,f,?,h,j,?,l
  • a)
      i,m                                          
  • b)
      m,i                    
  • c)
      I,n                                                           
  • d)
    j,m                                   
Correct answer is option 'A'. Can you explain this answer?

Dhruv Mehra answered
The series may be divided into groups as shown :
b  e  d  /  f  i  h  /  j  m  l
In each group, first letter is moved two steps forward to obtain the third letter
while the third letter is moved one step forward to obtain the second letter.

Which is the third number to the left of the number which is exactly in the middle of the following sequence of numbers?      
1 2 3 4 5 6 7 8 9 2 4 6 8 9 7 5 3 1 9 8 7 6 5 4 3 2 1     
  • a)
    3                                               
  • b)
    4             
  • c)
    5                                               
  • d)
    6     
Correct answer is option 'B'. Can you explain this answer?

Geeta jain answered
Given sequence of numbers: 1 2 3 4 5 6 7 8 9 2 4 6 8 9 7 5 3 1 9 8 7 6 5 4 3 2 1

To find the middle number, we need to calculate the total number of elements in the sequence and divide it by 2.

Total number of elements = 27

Middle number = 27/2 = 13.5

Since there is no 13.5th number in the sequence, we need to take the average of the 13th and 14th numbers.

13th number = 9, 14th number = 2

Middle number = (9 + 2)/2 = 5.5

Again, since there is no 5.5th number in the sequence, we need to take the average of the 5th and 6th numbers.

5th number = 5, 6th number = 6

Middle number = (5 + 6)/2 = 5.5

So, the middle number is 5.5 and the third number to the left of it is 4.

Therefore, the correct answer is option B) 4.

In the following number sequence, how many such even numbers are there which are exactly divisible by its immediate preceding number but not exactly divisible by its immediate following number?      
4 8 6 7 8 6 7 5 6 3 9 7  6 2 6 7 7 2 8 3 6 9 7 6 8  7     
  • a)
    One                                           
  • b)
    Two           
  • c)
    Three                                         
  • d)
    Four  
Correct answer is option 'D'. Can you explain this answer?

Pankaj Menon answered
Solution:
To find the required even numbers, we need to check the condition that the number should be exactly divisible by its immediate preceding number but not exactly divisible by its immediate following number.

Let's go through the given sequence step by step:

- 4 is not even, so we skip it.
- 8 is even and divisible by its immediate preceding number 4, but it is also divisible by its immediate following number 6. So, we skip it.
- 6 is not even, so we skip it.
- 7 is not even, so we skip it.
- 8 is even and divisible by its immediate preceding number 7, but it is also divisible by its immediate following number 6. So, we skip it.
- 6 is not even, so we skip it.
- 7 is not even, so we skip it.
- 5 is not even, so we skip it.
- 6 is even and divisible by its immediate preceding number 5, but it is not divisible by its immediate following number 3. So, we have one number that satisfies the condition.
- 3 is not even, so we skip it.
- 9 is not even, so we skip it.
- 7 is not even, so we skip it.
- 6 is even and divisible by its immediate preceding number 7, but it is not divisible by its immediate following number 2. So, we have another number that satisfies the condition.
- 2 is even and divisible by its immediate preceding number 6, but it is not divisible by its immediate following number 8. So, we have another number that satisfies the condition.
- 6 is even and divisible by its immediate preceding number 2, but it is not divisible by its immediate following number 7. So, we have another number that satisfies the condition.
- 7 is not even, so we skip it.
- 7 is not even, so we skip it.
- 2 is even and divisible by its immediate preceding number 7, but it is not divisible by its immediate following number 8. So, we have another number that satisfies the condition.
- 8 is even and divisible by its immediate preceding number 2, but it is not divisible by its immediate following number 3. So, we have another number that satisfies the condition.
- 3 is not even, so we skip it.
- 6 is even and divisible by its immediate preceding number 8, but it is not divisible by its immediate following number 9. So, we have another number that satisfies the condition.
- 9 is not even, so we skip it.
- 7 is not even, so we skip it.
- 6 is even and divisible by its immediate preceding number 9, but it is not divisible by its immediate following number 7. So, we have another number that satisfies the condition.
- 8 is even and divisible by its immediate preceding number 6, but it is also divisible by its immediate following number 7. So, we skip it.
- 7 is not even, so we skip it.

Therefore, there are a total of four even numbers in the given sequence that are exactly divisible by their immediate preceding number but not exactly divisible by their immediate following number. Hence, the correct answer is option D.

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.

this question refer to the symbol-letter number sequence given below:
8 5 X $ 3 K P @ 9 M R g 7 ê J ? Z Y b © ₤ V D 6 Q 1 Y A L O  © U 
Q. 
What is the total number of ‘the numbers immediately followed by a letter’ and ‘the symbols immediately preceded by a letter’ in the given sequence?
  • a)
    6                                                          
  • b)
    7                 
  • c)
    9                                                          
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Shanaya Sharma answered
The numbers immediately followed by a letter
5X , 3K , 9M , 6Q , 1Y
the symbols immediately preceded by a letter
X$ , P@ , J? , bc , Oc ( here c is substitute of the symbol , I didn't got it ).

Total number = 5+5 = 10.

If the fourth, the fifth, the fourteenth, the fifteenth and the twenty-sixth letters of the English alphabet are so rearranged as to form one meaningful English word taking each letter only once, what will be the middle letter of that word? If more than one such word are formed, your answer should be K and if no such word can be formed your answer would be Y.
  • a)
    N                                
  • b)
    Z
  • c)
    O                                
  • d)
    K
  • e)
    Y
Correct answer is option 'B'. Can you explain this answer?

Rhea malhotra answered
Given information: The fourth, the fifth, the fourteenth, the fifteenth and the twenty-sixth letters of the English alphabet are to be rearranged to form one meaningful English word taking each letter only once.

To find: The middle letter of the word formed.

Approach:

- Identify the letters that need to be rearranged.
- Find all possible combinations of those letters.
- Check if any of those combinations form a meaningful English word.
- If more than one word is formed, the middle letter of each word should be checked.
- If no word is formed, the answer is Y.

Solution:

The letters that need to be rearranged are D, E, N, O, and Y.

All possible combinations of these letters are:

- DENOY
- DENOY
- DEONY
- DEOYN
- DEONY
- DEOYN
- DNYOE
- DNYOE
- DNOYE
- DNOEY
- DNEYO
- DNEOY
- DYNEO
- DYNOE
- DYEON
- DYENO
- DYONE
- DYOEN
- DYOEN
- DOYNE
- DOYEN
- DONYE
- DONEY
- DOENY
- DOEYN
- ODEYN
- ODENY
- ODYEN
- ODYNE
- ONEYD
- ONEDY
- ONYED
- ONYDE
- OYDEN
- OYDNE
- OYEDN
- OYEND
- OYNDE
- OYNED
- YDON
- YDNO
- YEDON
- YEDNO
- YENDO
- YEODN
- YONDE
- YONED
- YONDE
- YOEND
- YODEN
- YODNE
- YOEDN
- YOEND
- YONDE
- YONED

Out of these combinations, only one meaningful English word is formed - "HONEYED".

Therefore, the middle letter of the word "HONEYED" is "Z".

Answer: (b) Z.

In this following questions, various terms of the letter series are given with one term missing as shown by (?). Choose the missing term out of the given alternative.
Q. R, T, ?, B , G ,?
  • a)
    C,B                                          
  • b)
    J,H                    
  • c)
    B,H                                         
  • d)
    W,M                            
Correct answer is option 'D'. Can you explain this answer?

Ayushi patil answered
Given series: Q R M ? F D ?

To find: Missing terms in the series

Solution:
The given series consists of alphabets.

Observations:
- The letters are in descending order of their positions in the English alphabet.
- The difference between consecutive letters is not constant.

The missing letters can be found by analyzing the difference between their positions in the alphabet.

Calculation:
- Position of Q in the alphabet = 17
- Position of R in the alphabet = 18
- Difference = 1
- Position of M in the alphabet = 13
- Position of F in the alphabet = 6
- Difference = 7
- The missing letter between M and F should have a position in the alphabet = 13 - 7 = 6
- The letter with a position of 6 in the alphabet is C
- Position of D in the alphabet = 4
- The missing letter between F and D should have a position in the alphabet = 4 + 7 = 11
- The letter with a position of 11 in the alphabet is K

Therefore, the missing terms in the series are C and K.

Verification:
The series becomes: Q R M C F D K
- The difference between Q and R is 1
- The difference between R and M is 5
- The difference between M and C is 7
- The difference between C and F is 3
- The difference between F and D is 7
- The difference between D and K is 6

Conclusion:
The missing terms in the series are C and K, which are present in option D. Hence, the answer is option D.

How many such pairs of letters are there in the word FRIENDSHIP, each of which has as many letters between them in the word as in the English alphabet?
  • a)
    Nil                              
  • b)
    One
  • c)
    Two                            
  • d)
    Three
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Divisha rane answered
Solution:
To solve this problem, we need to identify pairs of letters in the word FRIENDSHIP that have the same number of letters between them in the word as in the English alphabet. Let's start by listing the English alphabet and the letters in the word FRIENDSHIP:

English Alphabet: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
FRIENDSHIP: F R I E N D S H I P

Now, we need to identify pairs of letters that have the same number of letters between them in the word as in the English alphabet. For example, the pair "F" and "I" have two letters between them in the word FRIENDSHIP (R and E), and two letters between them in the English alphabet (G and H). Therefore, this pair satisfies the condition.

Using this method, we can identify the following pairs:

• F and I (2 letters between them)
• R and U (2 letters between them)
• E and H (4 letters between them)

Therefore, there are three pairs of letters in the word FRIENDSHIP that satisfy the given condition. The correct answer is option D.

Look at this series: 8, 22, 8, 28, 8, ... What number should come next?
  • a)
    9
  • b)
    29
  • c)
    32
  • d)
    34
Correct answer is option 'D'. Can you explain this answer?

Bijoy Pillai answered
This is a simple addition series with a random number, 8, interpolated as every other number. In the series, 6 is added to each number except 8, to arrive at the next number.

In this following questions, various terms of the letter series are given with one term missing as shown by (?). Choose the missing term out of the given alternative.
Q. dfe,jih,mln, ___,vut
  • a)
    oqp                                          
  • b)
    psr                     
  • c)
    prq                                           
  • d)
    rsp                                    
Correct answer is option 'C'. Can you explain this answer?

Smita rane answered
The given letter series is formed by alternating between the letters in the English alphabet. The first term 'd' is followed by the fourth letter 'e', then the sixth letter 'f', and so on. Similarly, the second term 'j' is followed by the ninth letter 'i', then the eleventh letter 'h', and so on.

To find the missing term, we need to continue the same pattern of alternating between the letters in the English alphabet. The next letter after 'm' is 'n', so the missing term should be the thirteenth letter after 'n', which is 'r'.

Therefore, the missing term in the given letter series is 'prq', which is option (c).

Chapter doubts & questions for Number & Alphabetical Series - General Intelligence and Reasoning for Competitive Exams 2024 is part of SSC MTS / SSC GD exam preparation. The chapters have been prepared according to the SSC MTS / SSC GD exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for SSC MTS / SSC GD 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

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