In a certain code language, ‘MAN’ is coded as ‘15316’ and ‘SHE’ is coded as ‘21107’. How will ‘OUT’ be coded in that language?
- (a)152222
- (b)172121
- (c)172322
- (d)152120
Answer
Why
Correct — C.
Rule: replace each letter by its alphabet position plus 2, then write the numbers end to end.
M=13, A=1, N=14 give 15, 3, 16, which is 15316
S=19, H=8, E=5 give 21, 10, 7, which is 21107
O=15 becomes 17
U=21 becomes 23
T=20 becomes 22
Joined end to end that is 172322, option (c).
Why the others are wrong
- (a)152222 — 152222 reads 15, 22, 22. It leaves O unchanged at 15 and moves U by only one place, while the rule adds two to every letter.
- (b)172121 — 172121 gets O right at 17 and then writes 21 for U, which is U's own position untouched, and 21 for T instead of 22.
- (d)152120 — 152120 is simply 15, 21, 20, the plain alphabet positions of O, U and T with no shift applied at all.
Concept
A numeric code gives two worked examples and asks you to reverse the map. Nearly all of them run through alphabet position, so write A=1 to Z=26 in the margin before anything else.
Then compare letter with digits. M is 13 and its code opens 15; S is 19 and its code opens 21. The shift is a constant +2.
The join is the second half of the rule. The numbers are concatenated, not added, so a two-digit result such as 16 contributes two characters and coded words differ in length.
Because the numbers run together, 15316 could in principle be split other ways. The three-letter word and the second example pin the split down.
Key facts
- A=1 through Z=26 is the position table a letter-to-number code is read against.
- In this code each letter's position is increased by 2 before the digits are written.
- The results are concatenated, so MAN gives 15, 3, 16 written as 15316.
Study next
Common traps
- Splitting the coded number wrongly, for instance reading 15316 as 1, 53, 16
- Adding the shift to the digits of the position instead of to the position itself
- Working from an alphabet count that is off by one, usually by starting at zero
The same position table with the identical plus-two rule is set at Reasoning Q.20 of the 25 Sep 2024, 09:00 shift, where EXCESS becomes 726572121. Reasoning Q.14 of this shift numbers the letters of the word read backwards.
Related PYQs
No directly related past PYQ was found.