Number Series Puzzles - 16

1. What number should replace the question mark to definite rule number ?
  
     147,159,174,186,?

A:- 201

      147
      147+12(1+4+7) = 159
      159+15(1+5+9) = 174
      174+12(1+7+4) = 186
      186+15(1+8+6) = 201.

2.  What comes next in this series : 1,7,8,15,23,38,61,?

A:-  99
     
       1,7 
       1+7 = 8
       8+7 = 15
       15+8 = 23
       23+15 = 38
       38+23 = 61
       61+38 = 99.

3.  What number shoul replace the question mark ?

     52,25,77,77,?,451,605

A:-  154

       52,25  (reverse order)
       52+25 = 77
       77,77  (reverse)
       77+77 = 154
       154,451  (reverse)
        154+451 = 605  .

4.  What number should replace the question mark ?

     100,99.5,98,95.5,92,87.5,?

A:-  82

        100
        100-0.5 = 99.5
        99.5-1.5 = 98
        98-2.5 = 95.5
        95.5-3.5 = 92
        92-4.5 = 87.5
        87.5-5.5 = 82.
       
       

Number Series Puzzles - 15

1. What number shoul replace the question mark ?

   1,1,8,4,15,7,22,10,?

A:-  29

      1,1
      1+7 = 8
      1+3 = 4
      8+7 = 15
      4+3 = 7
      15+7 = 22
      7+3 = 10
      22+7 = 29.

2.  What two terms complete the series A  1  D  4  H  8  M  13  ?  ?

A:-  S 19

       A        D              H             M                    S
           B,C      E,F,G      I,J,K,L      N,O,P,Q,R
             2            3             4                    5

       1         4             8                     13                           19
           2,3      5,6,7       9,10,11,12        14,15,16,17,18
             2          3                4                            5

3.  What number should replace the question mark?

      1,2,6,12,36,72,?

A:-  216

       1
       1*2 = 2
       2*3 = 6
       6*2 = 12
       12*3 = 36
       36*2 = 72
       72*3 = 216.

4.  What numbers should replace the question mark ?

     15,30,45,90,135,270,?

A:-  405

        15
        15*2 = 30
        30*1.5 = 45
        45*2 = 90
        90*1.5 = 135
        135*2 = 270
        270*1.5 = 405.

 

Number Series Puzzles -14

1.  What number should replace the question mark ?
 
      24,30,?,60,84,114

A:-  42

       24
       24+6 = 30
       30+12 = 42
       42+18 = 60
       60+24 = 84
       84+30 = 114.

2.  What number should replace the question mark ?
  
     16,23,19,19,22,15,25,?

A:-  11

        16,23
        16+3 = 19
        23-4  = 19
        19+3 = 22
        19-4 = 15
        22+3 = 25
        15-4 = 11.

3.  What number should replace the question mark ?

      10,10,9,7,7,?,4,4,3,1.

A:- 6

      10,10
      10-1 = 9
      10-3 = 7

      7,7
      7-1 = 6
      7-3 = 4

     4,4
     4-1 = 3
     4-3 = 1

     1,1.

4.  Complete the sequence

     2,3,4,9,16,81,256,?

A:-  6561

       2,3
       2*2 = 4
       3*3 = 9
 
      4*4 = 16
      9*9 = 81

     16*16 = 256
     81*81 = 6561.


 

Number Series Puzzles - 13

1.  What number should replace the question mark ?

     10,15,40,165,?

A:-  790

       10
       10+5 = 15
       15+25(5*5) = 40
       40+125(25*5) = 165
       165+625(125*5) = 790.

2. What number should replace the question mark ?

    2,6,14,30,62,?,254

A:-  126

       2
       2+4 = 6
       6+8 (4*2) = 14
       14+16(8*2) = 30
       30+32(16*2) = 62
       62+64(32*2) = 126
       126+128(64*2) = 254.

3.  Look at this series : 14,28,20,40,32,64,.... What number should come next ?

A:-  56

       14
       14*2 = 28
       28-8 = 20
       20*2 = 40
       40-8 = 32
       32*2 = 64
       64-8 = 56.

4.  Look at this series : 1.5,2.3,3.1,3.9,.....  What number should come next ?

A:-  4.7

       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.
 

Number Series Puzzles - 12

1.  What number should replace the question mark ?

     10,14,22,38,70,?

A:-  134

       10
       10+4 = 14
       14+8 = 22
       22+16 = 38
       38+32 = 70
       70+64 = 134.

2.  Look at this series : 201,202,204,207,..... What number should come next ?

A:- 211

     201
     201+1 = 202
     202+2 = 204
     204+3 = 207
     207+4 = 211.

3.  What number should replace the question mark ?

    10,11,13,16,20,25,?

A:-  31

      10
      10+1 = 11
      11+2 = 13
      13+3 = 16
      16+4 = 20
      20+5 = 25
      25+6 = 31.

Number Series Puzzles - 11

1.  What number should replace the question mark ?

     1,8,16,25,?

A:-  35

       1
       1+7 = 8
       8+8 = 16
       16+9 = 25
       25+10 = 35.

2.  Look at this series : 544,509,474,439,.... What number should come next ?

A:-  404

       544
       544-35 = 509
       509-35 = 474
       474-35 = 439
       439-35 = 404.

3.  What number should replace the question mark ?

      5,10,17,26,37,50,?

A:-  65

       5
       5+5 = 10
       10+7 = 17
       17+9 = 26
       26+11 = 37
       37+13 = 50
       50+15 = 65.

4. Look at this series : 80,10,70,15,60,..... What number should come next ?

A:-  20

       80
       10
       80-10 = 70
       10+5 = 15
       70-10 = 60
       15+5 = 20.
     
       
    

Number Series Puzzles - 10

1.  What number should replace the question mark ?

     1,5,11,19,29,?,55

A:-  41

       1
       1+4 = 5
       5+6 = 11
       11+8 = 19
       19+10 = 29
       29+12 = 41
       41+14 = 55.

2.  What number should replace the questiion mark ?

     6,10,18,34,?
 
A:-  66

        6
        6+4 = 10
        10+8 = 18
        18+16 = 34
        34+32 = 66.

3.  Look at this series : 1000,200,40,... What number should come next ?

A:-  8

       1000
       1000/5 = 200
       200/5 = 40
       40/5 = 8.

4.  Look at this series : 5.2,4.8,4.4,4,..... What number should come next ?

A:-  3.6

       5.2
       5.2-0.4 = 4.8
       4.8-0.4 = 4.4
       4.4-0.4 = 4
       4.0-0.4 = 3.6.

5. Look at this series : 2,6,18,54,......  What number should come next ?

A:-  162

        2
        2+4 = 6
        6+12 = 18
        18+36 = 54
        54+108 = 162.
 

Number Series Puzzles - 9

1. What number should replace the question mark ?

    20,21,23,26,?,35.

A:-  30

       20
       20+1 = 21
       21+2 = 23
       23+3 = 26
       26+4 = 30
       30+5 = 35.

2.  Look at this series : 21,9,21,11,21,13,21,.....  What number should come next ?

A:-  15

       21
       21-12 = 9
       9+12  = 21
    
       21-10 = 11
       11+10 = 21
      
      21-8 = 13
      13+8 = 21

     21-6 = 15
     15+6 = 21.

3.  What number should replce the question mark ?

     10,12,16,24,40,72,136,?

A:-  264

       10
       10+2 = 12
       12+4 = 16
       16+8 = 24
       24+16 = 40
       40+32 = 72
       72+64 = 136
       136+128 =264.

4.  Look at this series : 58,52,46,40,34,..... What number should come next ?

A:-  28

      58
      58-6 = 52
      52-6 = 46
      46-6 = 40
      40-6 = 34
      34-6 = 28.




 

Number Series Puzzles - 8

1.  What number should replace the question mark ?
 
      1,2,5,10,17,26,37,?

A:-  50

       1
       1+1 = 2
       2+3 = 5
       5+5 = 10
       10+7 = 17
       17+9 = 26
       26+11 = 37.

2.  Look at this series: 31,29,24,22,17,...... What number should come next ?

A:-  15

        31
        31-2 = 29
        29-5 = 24
        24-2 = 22
        22-5 = 17
        17-2 = 15.

3.  What number should replace the question mark ?

      13,17,21,25,?

A:-  29

       13
       13+4 = 17
       17+4 = 21
       21+4 = 25
       25+4 = 29.

4.  Look at this series: 3,4,7,8,11,12,..... What number should come next ?

A:-  15

       3
       3+1 = 4
       4+3 =7
       7+1 = 8
       8+3 = 11
       11+1 = 12
       12+3 = 15.
 

Number Series Puzzles - 7

1.  Which number should replace the question mark ?

     6,13,27,55,?

A:-  111

        6
        6*2 = 12+1 = 13
        13*2 = 26+1 = 27
        27*2 = 54+1 = 55
        55*2 = 110+1 = 111.

2.  Look at this series : 22,21,23,22,24,23,...... What number should come next ?

A:-  25

       22
       22-1 = 21
       21+2 = 23
       23-1 = 22
       22+2 = 24
       24-1 = 23
       23+2 = 25.

3.  What number should replace the question mark ?

     21,32,45,60,?,96,117,140.

A:-  77

       21
       21+11 = 32
       32+13 = 45
       45+15 = 60
       60+17 = 77
       77+19 = 96
       96+21 = 117
      117+23 = 140.

4.  Look at this series : 53,53,40,40,27,27,.... What number should come next ?

A:-  14

        53
        53
        53-13 = 40
                      40
        40-13 = 27
                      27
        27-13 = 14
                      14.
        

Number Series Puzzles - 6

1.  Which number completes the puzzle ?

     5,7,11,13,17,?

A:-  19

        5
        5+2 = 7
        7+4 = 11
       11+2 = 13
       13+4 = 17
       17+2 = 19.

2.  Look at this series: 2,1,1/2,1/4,.... What number should come next ?

A:- 1/8

      2
      2/2 = 1
      1/2 = 1/2
      (1/2)/2 = 1/4
      (1/4)/2 = 1/8.

3.  Look at this series: 7,10,8,11,9,12,..... what number should come next ?

A:-  10

       7
       7+3 = 10
       10-2 = 8
       8+3 = 11
       11-2 = 9
       9+3 = 12
       12-2 = 10.

4.  Look at this series: 36,34,30,28,24,..... What number should come next ?

A:- 22

     36
     36-2 = 34
     34-4 = 30
     30-2 = 28
     28-4 = 24
    24-2 = 22.

 

number Series Puzzles - 5

1.  What numbers should replace the question marks ?

       1,4,9,16,25,?,?,?

A:-  36,49,64

       1*1 = 1
       2*2 = 4
       3*3 = 9
       4*4 = 16
       5*5 = 25
       6*6 = 36
       7*7 = 49
       8*8 = 64.

2.  What number should replace the question mark ?

      1,2,6,24,120,?

A:-  720

       1! = 1
       2! = 1*2 = 2
       3! = 1*2*3 = 6
       4! = 1*2*3*4 = 24
       5! = 1*2*3*4*5 = 120
       6! = 1*2*3*4*5*6 = 720.

3.  What should replace the question mark ?

      1,1,2,3,5,8,13,?

A:-  21

       1
       1
       1+1 = 2
       1+2 = 3
       2+3 = 5
       3+5 = 8
       5+8 = 13
       8+13 = 21.
      

Number Series Puzzles - 4

1.  What number continues the following sequence ?

     759,675,335,165,?

A:-  80

       75*9 = 675
       67*5 = 335
       33*5 = 165
       16*5 = 80

2.  What number should replace the qustion mark ?

     0,1,2,4,6,9,12,16,?

A:- 20

     0+1 = 1
     1+1 = 2
     2+2 = 4
     4+2 = 6
     6+3 = 9
     9+3 = 12
     12+4 = 16
     16+4 = 20

3. What numbers shoul replace the question marks ?

    0,1,3,6,7,9,12,13,15,18,?,?,?

A:-  19,21,24

       0+1 = 1
       1+2 = 3
       3+3 = 6

       6+1 = 7
       7+2 = 9
       9+3 = 12

      12+1 = 13
      13+2 = 15
      15+3 = 18

      18+1 = 19
      19+2 = 21
      21+3 = 24

 

Number Series Puzzles - 3

1. What number should replace the question mark ?

    1,3,4,7,11,18,29,?

A:- 47

      1
      3
      1+3 = 4
      4+3 = 7
      7+4 = 11
      11+7 = 18
      18+11 = 29
      29+18 = 47


2.  What number should replace the qustion mark ?

      123,124,126,132,133,136,142,143,147,?

A:- 154

      123
      123+1 = 124
      124+2 = 126
      126+6 = 132
      132+1 = 133
      133+3 = 136
      136+6 = 142
      142+1 = 143
      143+4 = 147
      147+7 = 154

3.  What number comes next in this sequence ?

      1,3,11,4,7,?

A:-  239

      1
      1*2 = 2+1 = 3
      3*3 = 9+2 = 11
      11*4 = 44+3 = 47
      47*5 = 237+2 = 239


   
 

Number Series Puzzles - 2

1.  Which number is missing ?

      1,8,27,64,?

A:-  125

        1*1*1 = 1
        2*2*2 = 8
        3*3*3 = 27
        4*4*4 = 64
        5*5*5 = 125.

2.  Which number completes this sequence ?

      123,117,108,99,?

A:-  81

        123
        1+2+3 = 6    123-6 = 117
        1+1+7 = 9    117-9 = 108
        1+0+8 = 9    108-9 = 99
        9+9 = 18      99-18 = 81.

3.  What comes next in this series ?

      1,2,6,24,120,720,?

A:-  5040

       1
       1*2 = 2
       2*3 = 6
       6*4 = 24
       24*5 = 120
      120*6 = 720
      720*7 = 5040.     

Number Series Puzzles - 1

1.  What is the next number in the sequence given below ?

      1,4,9,16,25,36,?

A:-  49

         1
         1+3 = 4
         4+5 = 9
         9+7 = 16
         16+9 = 25
         25+11 = 36
         36+13 = 49.
          

2.  What number should replace the qustion mark ?             

     147,159,174,186,?
    
A:-   201

        147
        147+12 = 159
        159+15 = 174
        174+12 = 186
        186+15 = 201. 

3.  What number continues this sequence ?

     18,20,24,32,?

A:-  48

        18
        18+2 = 20
        20+4(2*2) = 24
        24+8(4*2) = 32
        32+16(8*2) = 48.

     
    

Number Series Puzzles

1. Which number replaces the question mark ?

    6,9,15,27,?

A:-  51
    
        6
        6+3= 9
        9+6(3*2)=15
        15+12(6*2)=27
        27+24(12*2)=51 .

Another solution:-

        6
        6+6 = 12-3 = 9
        9+9 = 18-3 = 15
        15+15 = 30-3 = 27
        27+27 = 54-3 = 51.

2. Which number replaces the qustion mark ?

     26,28,31,35,?

A:- 40


       26
       26+2=28
       28+3=31
       31+4=35
       35+5=40.


3. Which letter replaces the question mark?

     O,T,T,F,F,S,S,E,?

A:- N


      One
      Two
      Three
      Four
      Five
      Six
      Seven
      Eight
      Nine.