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All questions of Number Series for Super TET 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?

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: 

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.

Look at this series: 201, 202, 204, 207, ... What number should come next?
  • a)
    205
  • b)
    208
  • c)
    210
  • d)
    211
Correct answer is option 'D'. Can you explain this answer?

Nandini Iyer answered
In this addition series, 1 is added to the first number; 2 is added to the second number; 3 is added to the third number; 4 is added to the fourth number; and go on.

Find the missing number.
17, 19, 23, 29, 31, 37, _____
  • a)
    47 
  • b)
    43 
  • c)
    40 
  • d)
    41
Correct answer is option 'D'. Can you explain this answer?

Shruti Dey answered
The given numbers are consecutive prime numbers in increasing order starting with 17.
Hence, the next number in the series is 41.

0, 4, 18, 48, ___, 180
  • a)
    58
  • b)
    144
  • c)
    84
  • d)
    100
Correct answer is option 'D'. Can you explain this answer?

Lavanya Menon answered
1st term = 5
2nd term = 5 × 2 + 3 = 13
3rd term = 13 × 3 + 2 = 41
4th term = 41 × 2 + 3 = 85 
5th term = 85 × 3 + 2 =257...
⇒ For every term at even position, the previous term is multiplied by 2 and 3 is added.
⇒ For every term at odd position, the previous term is multiplied by 3 and 2 is added.
So the missing term is: 257 × 2 + 3 = 517

Look at this series: 2, 6, 18, 54, ... What number should come next?
  • a)
    108
  • b)
    148
  • c)
    162
  • d)
    216
Correct answer is option 'C'. Can you explain this answer?

Aisha Gupta answered
CORRECT OPTION IS (C)
This is a simple multiplication series. Each number is 3 times more than the previous number.

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?

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

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.

17, __, 65, 113, 129, 161, 209.
  • a)
    34
  • b)
    33
  • c)
    40 
  • d)
    44
Correct answer is option 'B'. Can you explain this answer?

Shalini Patel answered
1st term = 8
2nd term = 8 x 2 = 16
3rd term = 16 x 3 = 48
4th term = 48 x 2 = 96
5th term = 96 x 3 = 288
6th term = 288 x 2 = 576...
⇒ For every term at even position, the previous term is multiplied by 2.
⇒ For every term at odd position, the previous term is multiplied by 3.
So the missing term is: 576 × 3 = 1728

Look at this series: 14, 28, 20, 40, 32, 64, ... What number should come next?
  • a)
    52
  • b)
    56
  • c)
    92
  • d)
    128
Correct answer is option 'B'. Can you explain this answer?

Anjali Gupta answered
The series is 14, 28, 20, 40, 32, 64
Take three terms at a time. The notation be as follows:-
Let, First term = a = 14
It is evident that Second term= 2*a = 2 * 14 = 28 and,
The Third term = Second term - 8 OR ( 2*a - 8 ) = 28 - 8 = 20
Now consider the third, fourth and the fifth term.
Let, Third term = a = 20
It is evident that Fourth term= 2*a = 2 * 20 = 40 and,
The Fifth term = Second term - 8 OR ( 2*a - 8 ) = 40 - 8 = 32
Similarly consider fifth, sixth and the seventh(term to be found).
Let, Fifth term = a = 32
It is evident that Sixth term = 2*a = 2 * 32 = 64 and,
The Seventh term ( term to calculated) = Second term - 8 OR ( 2*a - 8 ) = 64 - 8 = 56
 

12000, 2395, 474, 89.8, ___.
  • a)
    17.96
  • b)
    12.96
  • c)
    22.96 
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?

Vikas Kapoor answered
The given numbers are squares of consecutive natural numbers in decreasing order starting with 15,
i.e., the numbers 225, 196, 169, ____, 100, 81 can be written as 152, 142, 132 , ____, 112 , 102 , 92.
Hence, the missing number is 122 = 144.

Look at this series: 2, 4, 6, 8, 10, ... What number should come next?
  • a)
    11
  • b)
    12
  • c)
    13
  • d)
    14
Correct answer is option 'B'. Can you explain this answer?

Kiran Reddy answered
Each number increases by 2.
Like -
First number is 2
Second number = 2 + 2 =4
Third number = 4 + 2 = 6
Fourth number = 6 + 2 = 8
Fifth number = 8 + 2 = 10  and
Sixth number = 10 + 2 = 12
Hence, The answer is (b) 12.

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question -
1, 2, 3, 6, 9, 18, ?, 54
  • a)
    18
  • b)
    27
  • c)
    36
  • d)
    81
Correct answer is option 'B'. Can you explain this answer?

Sravya Sen answered
The pattern is x 2, x 3/2, x 2, x 3/2, x 2,.....
So, missing term = 18 x 3/2 = 27.

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question -
Which of the following will not be a number of the series 1, 8, 27, 64, 125,.....?
  • a)
    256
  • b)
    512
  • c)
    729
  • d)
    1000
Correct answer is option 'A'. Can you explain this answer?

Avinash Sharma answered
  • The given series consists of cubes of natural numbers only.
  • 256 is not the cube of any natural number.

59, 61, 67, 79, 99,  ___        
  • a)
    141 
  • b)
    129 
  • c)
    155
  • d)
    135
Correct answer is option 'B'. Can you explain this answer?

**Solution**

To find the resultant of the second row, we need to follow the given rules and apply the operations to the numbers in the second row.

The second row is: 10 x 152

We will go through each number and apply the rules accordingly:

**Step 1:**

Starting with the first number, 10.

**Step 2:**

The next number is x. Since there is no information given about x, we cannot perform any operation with it at this point.

**Step 3:**

The next number is 152.

Since 10 is even and 152 is even, we need to subtract 10 from 152.

152 - 10 = 142

Therefore, the resultant of the second row is 142.

Answer: (b) 63

Look at this series: 80, 10, 70, 15, 60, ... What number should come next?
  • a)
    20
  • b)
    25
  • c)
    30
  • d)
    50
Correct answer is 'A'. Can you explain this answer?

Varun Kapoor answered
This is an alternating addition and subtraction series. In the first pattern, 10 is subtracted from each number to arrive at the next. In the second, 5 is added to each number to arrive at the next.

4     2     2      3     6    15    45
36   a    b      ?     d     e      f
  • a)
    27 
  • b)
    54 
  • c)
    135
  • d)
    18 
  • e)
    none of these
Correct answer is option 'A'. Can you explain this answer?

Alok Verma answered
The series can be represented as follows.
7 + 3 × 2, 20 + 2 × 3, 66 + 3 × 2, 138 + 2 x 3, 420 + 3 × 2,846
∴ The wrong term is 21.
∴ The new series will be
21 + 3 × 2, 48 + 2 × 3, 150 + 3 × 2, 306 + 2 × 3, 924
∴ 924 will be the fifth term in the new series.

100, 70, 46, 28, __, 10
  • a)
    17
  • b)
    15
  • c)
    20
  • d)
    16
Correct answer is option 'D'. Can you explain this answer?

Vivek Patel answered
1st term = 75
2nd term = 75 + 216 = 75 + 63 = 291
3rd term = 291 + 125 = 291 + 53 = 416
4th term = 416 + 64 = 416 + 43 = 480
5th term = 480 + 27 = 480 + 33 = 507...
The differences are cubes of consecutive natural numbers in decreasing order from 6.
So, the missing term = 507 + 8 = 507 + 23 = 515

1, 8, 28, 99, 412, 2075, ____.
  • a)
    12450 
  • b)
    12462
  • c)
    10387
  • d)
    10375
Correct answer is option 'B'. Can you explain this answer?

Lavanya Menon answered
The 1st to 5th terms are 0, 5, 22, 57, 116.
These terms are 1 – 1, 8 – 3, 27 – 5, 64 – 7, 125 – 9.
i.e. 13 – 1, 23 – 3, 33 – 5, 43 – 7, 53 – 9
So, the nth term of the series: n3 – (2n – 1).
So, the 6th term of the series is 63 – (2 × 6 –1) = 216 – 11 = 205.

Directions to Solve
In this type of questions, one term in the number series is wrong. Find out the wrong term.
Question -
2, 5, 10, 17, 26, 37, 50, 64
  • a)
    17
  • b)
    26
  • c)
    37
  • d)
    64
Correct answer is option 'D'. Can you explain this answer?

Bhavya Chopra answered
Explanation:

The given number series is: 2, 5, 10, 17, 26, 37, 50, 64

To identify the wrong term, we need to find the pattern or rule followed in the series.

Pattern:

If we observe the given series carefully, we can notice that each term is obtained by adding consecutive odd numbers starting from 1.

Let's break down the series and find the differences between consecutive terms:

2, 5, 10, 17, 26, 37, 50, 64
3, 5, 7, 9, 11, 13, 14

Analysis of Differences:

From the differences, we can see that the pattern is increasing by 2 each time.

Explanation:

- The difference between the first and second terms is 3.
- The first term is 2, and the second term is 5 (2 + 3).
- The difference between the second and third terms is 5.
- The second term is 5, and the third term is 10 (5 + 5).
- The difference between the third and fourth terms is 7.
- The third term is 10, and the fourth term is 17 (10 + 7).
- The difference between the fourth and fifth terms is 9.
- The fourth term is 17, and the fifth term is 26 (17 + 9).
- The difference between the fifth and sixth terms is 11.
- The fifth term is 26, and the sixth term is 37 (26 + 11).
- The difference between the sixth and seventh terms is 13.
- The sixth term is 37, and the seventh term is 50 (37 + 13).
- The difference between the seventh and eighth terms is 14.
- The seventh term is 50, and the eighth term is 64 (50 + 14).

Identifying the Wrong Term:

Now, we can clearly see that the difference between the seventh and eighth terms should be 13, but it is given as 14. Hence, the wrong term in the series is 64 (option D).

Conclusion:

The correct answer is option D. The wrong term in the given number series is 64.

Look at this series: 1.5, 2.3, 3.1, 3.9, ... What number should come next?
  • a)
    4.2
  • b)
    4.4
  • c)
    4.7
  • d)
    5.1
Correct answer is option 'C'. Can you explain this answer?

Alok Mehta answered
In this simple addition series, each number increases by 0.8.
Rule = (1st no.) (1st no. + 0.8 = 2nd no.) (2nd no. + 0.8 = 3rd number)...
Now (1.5) (1.5 + 0.8 = 2.3) (2.3 + 0.8 = 3.1) (3.1 + 0.8 = 3.9) (3.9 + 0.8 = 4.7)...
So the anwser is c = 4.7

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.

Directions to Solve
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question -
1, 5, 13,25,41,?
  • a)
    51
  • b)
    57
  • c)
    61
  • d)
    63
Correct answer is option 'C'. Can you explain this answer?

Yes the option c is correct.
as you can see that the difference between two successive terms is in multiples of 4. following the series in the last term we had 16as difference so in the upcoming term 20 will be more than the previous one. hence 41+20=61.

Directions to Solve
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question -
1, 3, 4, 8, 15, 27, ?
  • a)
    37
  • b)
    44
  • c)
    50
  • d)
    55
Correct answer is option 'C'. Can you explain this answer?

The sum of any three consecutive terms of the series gives the next term.
Thus, 1 + 3 + 4 = 8 ;
3 + 4 + 8 = 15 ;
4 + 8 + 15 = 27  and so on.
.'. Missing number = 8 + 15 + 27 = 50.

Directions to Solve
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question -
2, 15, 4, 12, 6, 7, ?, ?
  • a)
    8, 8
  • b)
    8, 0
  • c)
    3, 8
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Alok Verma answered
Let the missing terms of the series be x1 and x2.
Thus, the sequence 2, 15, 4, 12, 6, 7, x1 x2 is a combination of two series :
I. 2, 4, 6, x1 and II. 15, 12, 7, x2
I consists of consecutive even numbers.
So, missing term, x1 = 8.
The pattern in II is - 3, - 5,......So, missing term, x2 = 7 - 7 = 0.

Directions to Solve
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question -
3, 4, 7, 7, 13, 13, 21, 22, 31, 34, ?
  • a)
    42
  • b)
    43
  • c)
    51
  • d)
    52
Correct answer is option 'B'. Can you explain this answer?

Jyoti Dasgupta answered
The given sequence is a combination of two series :
I. 3, 7, 13, 21, 31, ? and II. 4, 7, 13, 22, 34
The pattern in I is + 4, + 6, + 8, + 10,.....
The pattern in II is + 3, + 6, + 9, + 12,.....
So, missing term = 31 + 12 = 43.

243   81   54   54   72   120
81    a      b      c      ?      e
  • a)
    18
  • b)
    40
  • c)
    27
  • d)
    24 
  • e)
    none of these
Correct answer is option 'D'. Can you explain this answer?

Lavanya Menon answered
The series can be represented as follows.
5 + 1, 6 × 2, 12 + 3, 15 × 4, 60 + 5, 65
∴ The wrong term is 7.
New series will be 7 + 1, 8 × 2, 16 + 3, 19
∴ 19 is the fourth term in the new series. Choice (d)

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