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All questions of Number Series for CUET Commerce 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.

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: 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.

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: 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
 

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.

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

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

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.

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 -
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.

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)

149, 137, 127, 109,  __ 
  • a)
    103 
  • b)
    107
  • c)
    113
  • d)
    105
Correct answer is option 'A'. Can you explain this answer?

Sneha Reddy answered
The pattern is:
All the numbers are decreasing prime numbers in the alternate order.

7, 9, 13, 21, 37, ____
  • a)
    58
  • b)
    63
  • c)
    69
  • d)
    72
Correct answer is option 'C'. Can you explain this answer?

Lavanya Menon answered
The common difference between consecutive terms is 6, 12, 6, 12 & so on. So, the term next to 141 is 141 + 6 = 147

1, 2, 8, 33, 148, __.
  • a)
    265
  • b)
    465
  • c)
    565
  • d)
    765
Correct answer is option 'D'. Can you explain this answer?

Ankit Saini answered
1*1 + (1)2 = 1+1 = 2
2*2 + (2)2 = 4+4 = 8
8*3 + (3)2 = 24+9 = 33
33*4 + (4)2 = 132+16 = 148
148*5 + (5)2 =740+25 = 765

Directions for questions: Based on the series of numbers given in the question, find the next / missing number in the series.
2, 3, 10, 15, 26, ?
  • a)
    35
  • b)
    37
  • c)
    48
  • d)
    50
Correct answer is option 'A'. Can you explain this answer?

Next Number in the Series: 35

Explanation:

The given series follows a pattern where each number is obtained by adding consecutive odd numbers.

- 2 + 1 = 3
- 3 + 7 = 10
- 10 + 5 = 15
- 15 + 11 = 26

To find the next number in the series, we need to add the next odd number (13) to the previous number (26).

- 26 + 13 = 39

However, this answer is not one of the options given, so we need to look for a different pattern.

If we look at the difference between consecutive numbers, we can see that it follows the pattern:

- +1, +7, +5, +11

This pattern is not consistent, but if we continue it, the next difference would be +9.

So, to find the next number in the series, we can add 9 to the previous difference (11) to get:

- 11 + 9 = 20

Then we add this difference to the last number in the series (26) to get:

- 26 + 20 = 46

Again, this answer is not one of the options given, so we need to try a different approach.

If we look at the last digit of each number in the series, we can see that it follows the pattern:

- 2, 3, 0, 5, 6

The last digit repeats every 5 numbers, so the next number in the series should end in a 7.

The only option that ends in a 7 is 35, so that is our answer.

- 26 + 9 = 35

Directions to Solve
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question -
In the series 3, 9, 15, ...... what will be the 21st term?
  • a)
    117
  • b)
    121
  • c)
    123
  • d)
    129
Correct answer is option 'C'. Can you explain this answer?

Ankita Dey answered
Pattern Analysis:
To find the pattern in the given series, we need to observe the difference between consecutive terms.

The difference between the first and second terms is 9 - 3 = 6.
The difference between the second and third terms is 15 - 9 = 6.

From the above observations, we can see that the difference between consecutive terms is constant and equal to 6.

Pattern:
The pattern can be represented as:
3, 9, 15, 21, ...

Finding the 21st Term:
To find the 21st term in the series, we need to determine the value by adding the constant difference to the last term.

The last term in the given series is 15.
Using the pattern, we can find the 21st term as follows:

15 + (6 x 15) = 15 + 90 = 105.

Therefore, the 21st term in the series is 105.

Explanation of Correct Answer:
The correct answer is option 'C' (123).

The given options are:
a) 117
b) 121
c) 123
d) 129

To confirm the correct answer, let's check if the 21st term is 123 by using the pattern.

Starting from the first term (3), we can calculate the terms in the series as follows:
3, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 75, 81, 87, 93, 99, 105, 111, 117, 123.

As we can see, the 21st term is indeed 123, which matches option 'C'.

Hence, the correct answer is option 'C' (123).

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