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Question

If ROAD is written as URDG, then SWAN should be written as:

The correct answer is

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.

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Important Questions from Numerical Reasoning

  1. If ‘relftaga’ means carefree, ‘otaga’ means careful and ‘fertaga’ means careless, which of the following could mean ‘aftercare’?

  2. Consider the following statements relating to the level of poker play of four players P, Q, R and S.

    I. P always beats Q

    II. R always beats S

    III. S loses to P only sometimes

    IV. R always loses to Q

    Which of the following can be logically inferred from the above statements?

    (i) P is likely to beat all the three other players

    (ii) S is the absolute worst player in the set

  3. The head of newly formed government desires to appoint five of the six selected members P, Q, R, S, T and U to portfolios of Home, Power, Defense, Telecom and Finance. U does not want any portfolio if S gets one of the five. R wants either Home or finance or no portfolio. Q says that if S gets either power or Telecom, then she must get the other one. T insists on a portfolio if P gets one .

    Which is the valid distribution of portfolios?
  4. The given question is followed by two statements; select the most appropriate option that solves the question. Capacity of a solution tank A is 70 % of the capacity of tank B. How many gallons of solution are in tank A and tank B?

    Statements:

    I) Tank A is 80% full and tank B is 40% full.

    II) Tank A if full contains 14,000 gallons of solution.
  5. Find the odd one in the following group: ALRVX, EPVZB, ITZDF, OYEIK

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