Logical Reasoning - Number Series - Discussion

The 2 nos as one set 14, 28 , 20, 40, 32, 64..

So it can be divided as (7x2),(7x4),(10x2),(10x4),(16x2),(16x4)..

So now 7, 10, 16 fall a line.
And

7+3 = 10
10+6 (3x2)=16
16+12(6x2)=28

(or)  

7+3 (3x1) = 10
10+6(3x2) =16
16+9(3x3) =25

So the series may be either,

7, 10, 16, 28
or
7, 10, 16, 25

If we take the first series then we will get 28x2 = 56.

If we take the next series then we will get 25x2 = 50.

Both answers are correct but as we have only 56 as option here 56 is the right answer.

14+6=20
20+(6*2)=32
32+(12*2)=56

Like this:

28+12=40
40+(12*2)=64
64+(24*2)=112

We can also do it this way

14, 28 consider this as first set where the second number is twice as first number

20, 40 consider this as second set where the second number is twice as first number

32, 64 consider this as third set where the second number is twice as first number

Take the first number of each set 14, 20, 32 as A, B, C where B is A+6, C is B+12, so D would be C+24 and E would be D+48 and so on..

So, the next set would be 56, 112 and next to that would be 104, 208 and so on

14+14=28.
28-8=20.
20+20=40.
40-8=32.
32+32=64.
64-8=56.

The series is : 14 28 20 40 32 64

14+6=20
20+12=32
32+24=56

28+12=40
40+24=64

Each time the number doubles
i.e first we add 6
Then double of 6 i.e 12
After that we double 12 i.e 24..
In this way, we can get the answer.

14*2=28

28-8=20

20*2=40

40-8=32

32*2=64

64-8=56

14, 28, 20, 40, 32, 64, ...X?

32- 20 = 12
20 - 14 = 6

Hence X - 32 = 24 i.e {6,12,24...}
Then = 32+ 24= 56

X = Answer is 56

14,28,20,40,32,64,x
*2
-8
*2
-8
*2
-8

If we see odd place of this series then we find every digit is increase by adding table of 6 like
14+6=20
20+12=32 now the ans is
32+18=50

So the right answer is 50.

Good one Question......P, rajendran is also right.

It's a series of number in which number is alternativaly changed by as usually +X and -8 and where X is jsut got number when it has a turn of +X to change series and then we use -8 and again we use +X which is the just got number by using -8.

Now we again using -8 and got a nuber and now we use +X where X is the just got number [normal like we are changing by +3 and -1.......only instead od fix 3 we have changable X that is changed in every step].