**A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of an input and rearrangement.**

**Input: 54 Sea 88 doctor 41 remind 63 aunt united 15 92 Even**

Step I: 17 54 Sea 88 doctor 41 remind 63 united 92 Even aunt

Step II: doctor 17 54 Sea 88 remind 63 united 92 Even aunt 43

Step III: 52 doctor 17 Sea 88 remind 63 united 92 aunt 43 Even

Step IV: remind 52 doctor 17 Sea 88 united 92 aunt 43 Even 65

Step V: 86 remind 52 doctor 17 united 92 aunt 43 Even 65 Sea

Step VI: united 86 remind 52 doctor 17 aunt 43 Even 65 Sea 90

And Step VI is the last step of the rearrangement of the above input.

As per the rules followed in the above steps, find out in each of the following questions the appropriate step for the given input.

**Input: 48 Stream 82 Damage 35 read 57 apple unit 9 86 end**

**Q1. In which step the elements ‘11 unit 86’ found in the same order?**

(a) Step I

(b) Step II

(c) Step III

(d) Step V

(e)Step VI

**Q2. In step IV, which of the following word/number would be at 2nd position to the left of 7th from the right end?**

(a) 11

(b) Stream

(c) 82

(d) unit

(e) 86

**Q3. How many steps remind completing the above arrangement?**

(a) Three

(b) Four

(c) Six

(d) Seven

(e) Five

**Q4. Which of the following would be the step III after arrangement?**

(a) 16 Damage 11 Stream 82 read 57 unit 86 apple 37 end

(b) 6 Damage 11 Stream 80 read 57 unit 86 apple 37 end

(c) 6 Damage 15 Stream 82 read 57 unit 86 apple 37 end

(d) 46 Damage 11 Stream 82 read 57 unit 86 apple 37 end

(e) None of these

**Q5. In step VI, ‘80’ is related to ‘unit’ and ‘11’ is related to ‘Damage’. In the same way ‘59’ is related to?**

(a) end

(b) unit

(c) read

(d) Stream

(e) None of these

## Solution NMAT input Output set 1

**Solutions**

**S1. Ans. (d)**

**Sol.** Students let us understand the Logic behind this Question and let’s understand how to solve it. When we see each step, then we can find that there is both number and words are arranged in each step.

1) For words arrangement- Words are arranged according to alphabetical order given in English dictionary. In first step the words which comes first according to English dictionary arranged first to extreme right. And in second step next word are arranged to extreme left.

And this process is continued in further step.

2) For number arrangement- Number are arranged according to ascending order. In first step lowest number arranged in extreme left. And in second step next number is arranged in extreme right. And this process is continued in further step (Each odd number is added by two (+2) while they are arranged and two is subtracted by each even number (-2) while they are arranged).

**Input: 48 Stream 82 Damage 35 read 57 apple unit 9 86 end**

Step I: 11 48 Stream 82 Damage 35 read 57 unit 86 end apple

Step II: Damage 11 48 Stream 82 read 57 unit 86 end apple 37

Step III: 46 Damage 11 Stream 82 read 57 unit 86 apple 37 end

Step IV: read 46 Damage 11 Stream 82 unit 86 apple 37 end 59

Step V: 80 read 46 Damage 11 unit 86 apple 37 end 59 Stream

Step VI: unit 80 read 46 Damage 11 apple 37 end 59 Stream 84

**S2. Ans. (a)**

**Sol.** Students let us understand the Logic behind this Question and let’s understand how to solve it. When we see each step, then we can find that there is both number and words are arranged in each step.

1) For words arrangement- Words are arranged according to alphabetical order given in English dictionary. In first step the words which comes first according to English dictionary arranged first to extreme right. And in second step next word are arranged to extreme left.

And this process is continued in further step.

2) For number arrangement- Number are arranged according to ascending order. In first step lowest number arranged in extreme left. And in second step next number is arranged in extreme right. And this process is continued in further step (Each odd number is added by two (+2) while they are arranged and two is subtracted by each even number (-2) while they are arranged).

**Input: 48 Stream 82 Damage 35 read 57 apple unit 9 86 end**

Step I: 11 48 Stream 82 Damage 35 read 57 unit 86 end apple

Step II: Damage 11 48 Stream 82 read 57 unit 86 end apple 37

Step III: 46 Damage 11 Stream 82 read 57 unit 86 apple 37 end

Step IV: read 46 Damage 11 Stream 82 unit 86 apple 37 end 59

Step V: 80 read 46 Damage 11 unit 86 apple 37 end 59 Stream

Step VI: unit 80 read 46 Damage 11 apple 37 end 59 Stream 84

**S3. Ans. (c)**

**Sol.** Students let us understand the Logic behind this Question and let’s understand how to solve it. When we see each step, then we can find that there is both number and words are arranged in each step.

1) For words arrangement- Words are arranged according to alphabetical order given in English dictionary. In first step the words which comes first according to English dictionary arranged first to extreme right. And in second step next word are arranged to extreme left.

And this process is continued in further step.

2) For number arrangement- Number are arranged according to ascending order. In first step lowest number arranged in extreme left. And in second step next number is arranged in extreme right. And this process is continued in further step (Each odd number is added by two (+2) while they are arranged and two is subtracted by each even number (-2) while they are arranged).

**Input: 48 Stream 82 Damage 35 read 57 apple unit 9 86 end**

Step I: 11 48 Stream 82 Damage 35 read 57 unit 86 end apple

Step II: Damage 11 48 Stream 82 read 57 unit 86 end apple 37

Step III: 46 Damage 11 Stream 82 read 57 unit 86 apple 37 end

Step IV: read 46 Damage 11 Stream 82 unit 86 apple 37 end 59

Step V: 80 read 46 Damage 11 unit 86 apple 37 end 59 Stream

Step VI: unit 80 read 46 Damage 11 apple 37 end 59 Stream 84

**S4. Ans. (d)**

**Sol.** Students let us understand the Logic behind this Question and let’s understand how to solve it. When we see each step, then we can find that there is both number and words are arranged in each step.

And this process is continued in further step.

**Input: 48 Stream 82 Damage 35 read 57 apple unit 9 86 end**

Step I: 11 48 Stream 82 Damage 35 read 57 unit 86 end apple

Step II: Damage 11 48 Stream 82 read 57 unit 86 end apple 37

Step III: 46 Damage 11 Stream 82 read 57 unit 86 apple 37 end

Step IV: read 46 Damage 11 Stream 82 unit 86 apple 37 end 59

Step V: 80 read 46 Damage 11 unit 86 apple 37 end 59 Stream

Step VI: unit 80 read 46 Damage 11 apple 37 end 59 Stream 84

**S5. Ans. (a)**

**Sol.** Students let us understand the Logic behind this Question and let’s understand how to solve it. When we see each step, then we can find that there is both number and words are arranged in each step.

And this process is continued in further step.

**Input: 48 Stream 82 Damage 35 read 57 apple unit 9 86 end**

Step I: 11 48 Stream 82 Damage 35 read 57 unit 86 end apple

Step II: Damage 11 48 Stream 82 read 57 unit 86 end apple 37

Step III: 46 Damage 11 Stream 82 read 57 unit 86 apple 37 end

Step IV: read 46 Damage 11 Stream 82 unit 86 apple 37 end 59

Step V: 80 read 46 Damage 11 unit 86 apple 37 end 59 Stream

Step VI: unit 80 read 46 Damage 11 apple 37 end 59 Stream 84

**When a number arrangement machine is given an input line of numbers, it arranges them following a particular rule. The following is an illustration of input and rearrangement.**

**Input: 64533 75894 35467 85434 61346**

Step I: 54633 85794 45367 45834 31646

Step II: 85794 45367 45834 54633 31646

Step III: 32579 28536 16583 15463 18164

Step IV: 1079 1536 1283 1063 1064

Step V: 1063 1064 1079 1283 1536

Step VI: 6310 6410 9710 8321 6531

And step VI is the last step of the rearrangement. As per the rules followed in the above step, find out the appropriate steps for the given input.

**Input: 23954 77874 15976 89336 75567**

**Q6. Which of the following is Step III of the given input after the rearrangement?**

(a) 32777 35576 18983 54517 36325

(b) 35576 18983 54517 36325 32777

(c) 32777 18983 35576 54517 36325

(d) 32777 35576 54517 18983 36325

(e) None of these

**Q7. What is the sum of the highest and the lowest number in step VI of the given input after the rearrangement?**

(a) 14052

(b) 14042

(c) 13131

(d) 12942

(e) None of these

**Q8. Which of the following combination of numbers, represents the 3rd number from the left end in step V and 2nd number from the right end in step II, respectively of the given input after the rearrangement?**

(a) 1277, 87774

(b) 1076, 55767

(c) 1376, 95176

(d) 1225, 93254

(e) None of these

**Q9. What is the difference between highest and lowest number in step V of the given input after the rearrangement?**

(a) 652

(b) 658

(c) 731

(d) 655

(e) None of these

**Q10. Which number is third from the left end in step II?**

(a) 39836

(b) 55767

(c) 95176

(d) 87774

(e) None of these

## Solution Set 2

**Sol.** In Step 1: The first three digits in all the numbers from the left end, are written in reverse order with in the number. No change is made to the remaining digits.

Ex-(64533) will be arranged as (54633).

In Step II: The numbers are arranged in descending order from extreme left end (according to the sum of the digits). (Number with the highest sum of digits will be arranged at extreme left end and the number with the 2nd highest sum of digits will be arranged after the 1st number and so on).

In Step III: The product of 1st and last digit from the left end of the number is written (from the left end) at the starting of each number, followed by the remaining digits in the same sequence to form a five-digit number. Ex- (85794) will be arranged as (32579).

(8 × 4) = 32, and (579) will be written in same sequence, so (32579).

In Step IV: The sum of first three digits from the left end is written at the left end of each number within the number, followed by remaining digits in the same sequence to form a four-digit number. Ex- (32579) will be arranged as (1079).

(3+2+5) = 10, and (79) will be written in same sequence, so (1079).

In Step V: All the numbers are arranged in ascending order from the extreme left end.

In Step VI: All the digits of each number are arranged in descending order within the number.

**Input: 23954 77874 15976 89336 75567**

Step I: 93254 87774 95176 39836 55767

Step II: 87774 55767 39836 95176 93254

Step III: 32777 35576 18983 54517 36325

Step IV: 1277 1376 1883 1417 1225

Step V: 1225 1277 1376 1417 1883

Step VI: 5221 7721 7631 7411 8831

**S6. Ans. (a)****S7. Ans. (a)****S8. Ans. (c)****S9. Ans. (b)****S10. Ans. (a)**

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