# New Pattern based Input Output Asked in SBI PO Mains 2017 | SBI PO Mains 2017 Input Output Questions based on new pattern

Folks! In yesterday’s SBI PO Mains 2017 exam an absolutely new kind of Input Output questions were asked and many of you even dreaded to attempt the questions. However, when pondered on, we found that this Machine Learning Input Output set of Reasoning Aptitude was a cakewalk and you could have easily secured those crucial 6 marks.

Let’s first get to know what was given as information.

**Directions: A number arrangement machine arranges two digit numbers given to it in a typical manner. The first step is illustrated in the example below which uses the concept of multiplication to associate number and give output of the input in the first step. No other step uses multiplication as the tool to process number in subsequent steps. The second step uses at least one of the digits from each of the three numbers obtained to get the next step. Each step taken gives output taking input from the previous step. Using illustration answer the question that follows.**

Input: 23 81 29 26 43 71 31

Step 1: 98 87 69

Step 2: 23 24

Step 3: 1.5 2

Step 4: 0.5

In this Machine Learning question it is clearly stated in the direction part that we need to take every step as an input for the next step. For instance, if we are solving Step 4, Step 3 will work as an Input for Step 4. And if we observe the Step 4 keeping only Step 3 in mind, we can immediately deduce that the number we get at Step 4 is the difference of the numbers given in Step 3.

Let’s decipher now what’s happening in each of the steps.

**Step 1.**

The direction clearly states that in first step multiplication between numbers is happening at the input level. On close observation, we can find that

The ten’s place digit of the first number (2 in 23) and the fifth number (4 in 43) in input are being multiplied to give the unit digit of the first number in Step 1.

= 2 x 4 = 8 (will be the unit digit of the first number in Step 1.)

Similarly, the unit digit of the first number (3 in 23) and the fifth number (3 in 43) in input are being multiplied to give the ten’s place digit in Step 1.

= 3 x 3 = 9 (will be the ten’s place digit of the first number in Step 1.)

Now, the ten’s place digit of the second number (8 in 81) is getting multiplied by the unit digit of the 6th number (1 in 71) to give the ten’s place digit of the 2nd number in Step 1.

= 8 x 1 = 8 (will be the ten’s place digit of the second number in Step 1.)

Similarly, the unit digit of the second number (1 in 81) is getting multiplied by the ten’s place digit of the 6th number (7 in 71) to give the unit digit of the 2nd number in Step 1.

= 1 x 7 = 7 (will be the unit digit of the second number in Step 1.)

Similarly, we can decipher the pattern for the third number; 69.

So the complete step 1 will be:

Step 1: 98 87 69

**Step 2.**

In step 2, the first number 23 will be obtained by adding the ten’s place digits of all the numbers we have got at Step 1.

9 + 8 + 6 = 23 (The first number at Step 2)

and the second number 24 will be obtained by adding the unit digits of all the numbers we have got at Step 1.

8 + 7 + 9 = 24 (The second number at Step 2)

So, the step 2 will be

Step 2: 23 24

**Step 3.**

If we observe closely, we can find that at this step the unit digit number is divided by the ten’s place digit to give the respective numbers at Step 3.

So, 3/2 = 1.5 and 4/2 = 2 will be the numbers we have got at Step 3.

Step 3: 1.5 2

**Step 4.**

And finally at Step 4 we have got the difference of the two numbers at Step 4

2 – 1.5 = 0.5

And thus we are done.