If ROAD is written as URDG, then SWAN should be written as:
VZDQ
This question is a common type of logical reasoning problem known as coding-decoding. In these problems, a specific rule or pattern is used to transform one word into a coded form. Our task is to identify this pattern and then apply it to another word.
Decoding the Pattern from ROAD to URDG
Let's analyze the given relationship: ROAD is coded as URDG. We will look at each letter individually and determine the shift in its alphabetical position.
| Original Letter | Alphabetical Position | Coded Letter | Alphabetical Position (Coded) | Shift |
|---|---|---|---|---|
| R | 18 | U | 21 | $21 - 18 = +3$ |
| O | 15 | R | 18 | $18 - 15 = +3$ |
| A | 1 | D | 4 | $4 - 1 = +3$ |
| D | 4 | G | 7 | $7 - 4 = +3$ |
From the table, it is evident that each letter in the word ROAD is shifted forward by three positions in the English alphabet to obtain its corresponding letter in URDG. This is a consistent pattern of a $+3$ shift.
- R (18th letter) → R + 3 = U (21st letter)
- O (15th letter) → O + 3 = R (18th letter)
- A (1st letter) → A + 3 = D (4th letter)
- D (4th letter) → D + 3 = G (7th letter)
Applying the Pattern to SWAN
Now, we will apply the exact same $+3$ shift rule to each letter of the word SWAN to find its coded form.
| Original Letter | Alphabetical Position | Shift (+3) | New Position | Coded Letter |
|---|---|---|---|---|
| S | 19 | $19 + 3$ | 22 | V |
| W | 23 | $23 + 3$ | 26 | Z |
| A | 1 | $1 + 3$ | 4 | D |
| N | 14 | $14 + 3$ | 17 | Q |
Applying the $+3$ shift for each letter of SWAN:
- S (19th letter) shifted by $+3$ becomes V (22nd letter).
- W (23rd letter) shifted by $+3$ becomes Z (26th letter).
- A (1st letter) shifted by $+3$ becomes D (4th letter).
- N (14th letter) shifted by $+3$ becomes Q (17th letter).
Therefore, when SWAN is coded using the same rule, it becomes VZDQ.
Conclusion for SWAN's Code
Based on the consistent letter shifting pattern identified from ROAD to URDG, the word SWAN is coded as VZDQ.
Important Questions from Numerical Reasoning
A traveller to the town reaches a crossroad. Upon asking residents A, B and C for directions to a certain destination, he gets the following responses
A: turn left
B: do not turn left
C: go straight
If only one among A, B and C is truthful, the traveller
In a city, each person has at least one hair on his/her head. At least two persons in this city are guaranteed to have exactly the same number of hair on their heads if the population of the city
a, b, c are real numbers. The quadratic equation ax2 – bx + c = 0 has equal roots, which is β, then
S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the project?
If x>y>1, which of the following must be true?
(i) In x > In y
(ii) ex > ey
(iii) y2 > x2
(iv) cos x > cos y
