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1.  

Directions (Q 28–31): A number machine works as shown.
Input: 56 21 83 47 69
Step I: 83 56 21 47 69
Step II: 69 83 56 21 47
Step III: 56 69 83 21 47
Step IV: 47 56 69 83 21
Step V: 21 47 56 69 83
Using the same rule, answer the questions for the input: 38 91 15 72 26 64 49.

What is Step III?

Correct Answer: A [64 72 91 38 15 26 49]

Explanation:

Rule: the largest remaining number goes to the extreme left (stack).

2.  
(Use the directions above – Input–Output, Q 28–31)
Which step is the last step?

Correct Answer: B [Step VII]

Explanation:

Steps: 91 38 15 72 26 64 49 → 72 91 38 15 26 64 49 → 64 72 91 38 15 26 49 → 49 64 72 91 38 15 26 → 38 49 64 72 91 15 26 → 26 38 49 64 72 91 15 → 15 26 38 49 64 72 91.

3.  
(Use the directions above – Input–Output, Q 28–31)
Which number is exactly in the middle of Step IV?

Correct Answer: C [91]

Explanation:

Step IV = 49 64 72 91 38 15 26; 7 numbers → the 4th is in the middle: 91.

4.  
(Use the directions above – Input–Output, Q 28–31)
What is the sum of the first and the last numbers of Step V?

Correct Answer: E [64]

Explanation:

Step V = 38 49 64 72 91 15 26 → 38 + 26 = 64.

5.  
A machine places, in each step, the smallest remaining number at the next place from the left; the others keep their order. Step II of an input is "12 27 58 43 76 39". Which of the following could be the input?

Correct Answer: D [58 43 12 76 27 39]

Explanation:

Step II = 12 27 + the other four in input order, so the input must have 58, 43, 76, 39 in that order.

6.  
A machine places, in each step, one word at the next place from the left in dictionary order; the others keep their order. Step II of an input is "arch bolt fern kite dune". Which could be the input?

Correct Answer: D [fern kite bolt arch dune]

Explanation:

The unmoved words must stand in the order fern, kite, dune.

7.  
Step I: each letter is replaced by its opposite letter (A↔Z, B↔Y, …). Step II: each word is written in reverse. Input: gate rope mild. What is Step II?

Correct Answer: C [vgzt vkli worn]

Explanation:

Opposite letters (sum of positions 27): tzgv ilkv nrow; reversed: vgzt vkli worn.

8.  
Step I: the first and last letters of each word are interchanged. Step II: each letter is replaced by the next letter. Input: stone plank brick. What is the second word of Step II?

Correct Answer: B [lmboq]

Explanation:

plank → klanp → lmboq.

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