If 0, 1, 2, ……., 7, 8, 9 are coded as O, P, Q, … V, W, X then 45 will be coded as:
ST
Understanding the Coding System
The problem presents a specific coding system where numerical digits are transformed into letters. We are given the mapping for digits from 0 to 9 to a sequence of letters starting from 'O'. To solve this, we need to first identify the exact letter assigned to each digit based on the provided information.
Let's observe the given pattern:
- The number 0 is coded as O.
- The number 1 is coded as P.
- The number 2 is coded as Q.
- The pattern continues sequentially for the remaining digits.
This implies a direct, ordered correspondence between the numbers and the letters of the English alphabet, starting from 'O'.
Decoding the Number-Letter Pattern
To fully understand the coding, we can list out the complete mapping for all the digits from 0 to 9:
| Number | Coded Letter |
|---|---|
| 0 | O |
| 1 | P |
| 2 | Q |
| 3 | R |
| 4 | S |
| 5 | T |
| 6 | U |
| 7 | V |
| 8 | W |
| 9 | X |
As per the table, each digit from 0 to 9 corresponds to a unique letter from O to X in alphabetical order.
Coding the Number 45
The question asks us to find the code for the number 45. To do this, we will apply the established coding system to each digit of the number 45 separately.
- The first digit of 45 is 4. According to our decoded pattern, the digit 4 is coded as the letter S.
- The second digit of 45 is 5. According to our decoded pattern, the digit 5 is coded as the letter T.
By combining the coded letters for each digit, the number 45 is coded as ST.
Step-by-Step Solution for Coding 45
- Understand the Given Coding Rule: The problem states that digits 0, 1, 2, ..., 9 are coded as O, P, Q, ..., X respectively. This indicates a sequential mapping.
- Map Each Digit to Its Corresponding Letter:
- 0 $\to$ O
- 1 $\to$ P
- 2 $\to$ Q
- 3 $\to$ R
- 4 $\to$ S
- 5 $\to$ T
- 6 $\to$ U
- 7 $\to$ V
- 8 $\to$ W
- 9 $\to$ X
- Identify the Digits in 45: The number 45 consists of two digits: 4 and 5.
- Find the Code for the Digit 4: From our mapping, the digit 4 is coded as 'S'.
- Find the Code for the Digit 5: From our mapping, the digit 5 is coded as 'T'.
- Combine the Coded Letters: Place the coded letter for 4 before the coded letter for 5. This results in 'ST'.
Therefore, based on the given coding system, the number 45 will be coded as ST.
Important Questions from Numerical Reasoning
If ‘relftaga’ means carefree, ‘otaga’ means careful and ‘fertaga’ means careless, which of the following could mean ‘aftercare’?
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
If ROAD is written as URDG, then SWAN should be written as:
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?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.
