Logical Reasoning - Number Series - Discussion

Let's assume the two unknown numbers be x and y respectively.
16 26 56 36 46 68 56 x y.

Let (in sequence)
[ 16 26 56 ] be series (a)
[36 46 68 ] be series (b) and
[56 x y ] be series (c).

Now substrate (b-a)
36 46 68 ------> (b)
16 26 56 -------> (a)
i.e = 20 20 12 ------> (i)
{These are the difference between a and b series}

Now, add the difference (i) with (b)
36 46 68 ------> (b)
20 20 12-------> (i)
=56 66 80 (answer)

x = 66,
y = 80.

1st & 2nd numbers = 16, 26.

Then
4th & 5th numbes = 36, 46.
Then as per the series repeated,
7th & 8th = 56,[ 66].

Now,
After the first 2 numbers = 56.
Again after 2 numbers = 56 + 12 = 68.
As per series = 68 + 12 = [80].

According to logic answer is,
[66,80].

Hope this is helpful.

26 - 16 = 10
68 - 56 = 12(after two nos.)
46 - 36 = 10
80 - 68 = 12
66 - 56 = 10.
Hope you understand.

16+10 = 26,
36+10 = 46,
56+10 = 66,
56+12 = 68,
68+12 = 80,

Ans: 66 80.

I cannot understand the logic. Please anyone help me to get it.

In the given series,

First second---- fourth fifth---- seventh eighth....... are one series which is +10 for next reach like 26, 36, 46, 56, (66),76 ...
Similarly, third---- sixth---- ninth... are the second series which is +12 for next reach like 56, 68, (80), 92...

So the answer is 66, 80.

Its is simple.

16,26,56,36,46,68,56
Ans: to observe 1st three numbers 16,26,56.
to observe 2nd three numbers 36,46,68.
16+20=36.
26+20=46.
56+12=68.
36+20=56.
46+20=66.
68+12=80.
so ans is 66,80.

I can't understand it. As above, some members said in 2nd series 12 is added after 56. Then why from 68 12 is decreased and next num is 56. Can anybody explain it plzz?

Observe 1st three numbers,

Add 10 to starting two numbers...
16+10=26
26+10=36
36+10=46
46+10=56
56+10=66

The third number 56 is;
56+12=68,
68+12=80,

16 26 56 36 46 68 56 66 80,

In this number series, note
16 26 56, 36 46 68, 56...

Let's break it from every 3rd number as :
Series 1:- 16 26 36 46 56 and so on
Series 2:- 56 68...

Now, if we note that
Series 1:- 16+10= 26,
26+10= 36,
36+10= 46,
46+10= 56 and so on.
So next one will be:- 56+10= 66.
Now series 2:- 56+12= 68,
So next one will be:- 68+12= 80.

Hence our series is like this:-
16, 26, 56, 36, 46, 68, 56, 68, 80.