Logical Reasoning - Number Series - Discussion

Discussion Forum : Number Series - Type 1 (Q.No. 12)
Directions to Solve
In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much

12.
Look at this series: 14, 28, 20, 40, 32, 64, ... What number should come next?
52
56
96
128
Answer: Option
Explanation:
This is an alternating multiplication and subtracting series: First, multiply by 2 and then subtract 8.
Discussion:
85 comments Page 9 of 9.

Pawan sharma said:   1 decade ago
14*2 = 28,28-8 = 20;
20*2 = 40,40-8 = 32;
32*2 = 64,64-8 = 56;

Answer is 56.

Sonam said:   1 decade ago
14*2 = 28.
28-8 = 20.
20*2 = 40.
40-8 = 32.
32*2 = 64.
64-8 = 56 easy method.

Anu said:   1 decade ago
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.

Sayantika said:   1 decade ago
14+6=20
20+(6*2)=32
32+(12*2)=56

Like this:

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

S.Balaji said:   1 decade ago
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


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