Direction : A word and number arrangement machine when given an input line of…
2017
Direction : 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 input and rearrangement.
Input- njes glfu 53 18 31 44 wird dect
Step I: yktf 106 njes glfu 18 31 44 dect
Step II: plgu 88 yktf 106 glfu 18 31 dect
Step III: inhw 62 plgu 88 yktf 106 18 dect
Step IV: fgev 36 inhw 62 plgu 88 yktf 106
Answer the following questions based on the following input: -
Input- olpu htqs 21 73 48 9 xcek bdgv
What will be the resultant if fifth number from the left end of step I is added to fifth number from right end of step III?
- A.
153
- B.
106
- C.
117
- D.
98
- E.
None of these
Attempted by 3 students.
Show answer & explanation
Correct answer: C
Concept
In an input-output (machine-arrangement) puzzle the machine applies the SAME fixed rule in every step. You decode that rule once from the given illustration, then replay it on the new input. Here the rule has two threads running together - a WORD thread and a NUMBER thread. For a position question, rebuild each step's full line and then count positions from the stated end.
Rule decoded from the illustration:
Words are arranged in REVERSE alphabetical (descending) order - largest word first; the illustration's pick order is wird, njes, glfu, dect.
Numbers are arranged in DESCENDING order of value and each chosen number is DOUBLED - 53, 44, 31, 18 become 106, 88, 62, 36.
Each step places the next transformed word at the extreme left and the next doubled number just after it; this new word-number pair is pushed in FRONT of whatever was arranged in earlier steps, while the still-untouched items keep their original order.
Application to the given input
Input: olpu htqs 21 73 48 9 xcek bdgv. Word descending order: xcek, olpu, htqs, bdgv. Number descending order: 73, 48, 21, 9, which double to 146, 96, 42, 18.
Step I (xcek-transformed + 73x2=146 to front): W 146 olpu htqs 21 48 9 bdgv (W = the transformed word).
Step II (add olpu-transformed + 48x2=96): W 96 W 146 htqs 21 9 bdgv.
Step III (add htqs-transformed + 21x2=42): W 42 W 96 W 146 9 bdgv.
Step IV (add bdgv-transformed + 9x2=18): W 18 W 42 W 96 W 146.
Reading off the required positions
Count every element (word or number) as one position, starting from the stated end. Each asked position lands on a number.
Required position | How to read the line | Value |
|---|---|---|
5th from the LEFT in Step I | W(1), 146(2), olpu(3), htqs(4), 21(5) | 21 |
5th from the RIGHT in Step III | bdgv(1), 9(2), 146(3), W(4), 96(5) | 96 |
Result
Add the two read-off values: 21 + 96 = 117.
Cross-check
Confirm the rule first reproduces the illustration: the same descending-and-double number thread on 53 18 31 44 gives Step I numbers 106, 18, 31, 44 and Step III numbers 62, 88, 106, 18 - exactly as printed. The decoded rule is therefore correct, so the required sum is 117.