In this question, a group of numbers/symbols is coded using letter codes as per the codes given below and the conditions which follow. The correct combination of codes following the conditions is your answer. If none of the conditions follow, then codes for the respective Number/Symbol are to be followed directly as given in the table.

Number/symbol 

Code

2

@

5

8

$

9

&

%

#

6

+

7

3

1

P

T

F

J

W

A

E

R

D

Q

S

B

U

L

Conditions:

If the first element is a number and the last a symbol, the codes for these two (the first and the last elements) are to be interchanged. If the first element is an even number and the last an odd number, the first and last elements are to be coded as $. If both the second and third elements are perfect cubes, the third element is to be coded as the code for the second element.

What is the code for the following group of numbers/symbols?

28%5

The correct answer is $JR$.

Let's break down the step-by-step coding process based on the given table and conditions for the element group: 28%5.

Step 1: Identify the elements and their basic codes

From the provided code table:

• 2 → P
• 8 → J
• % → R
• 5 → F

Without any conditions applied, the basic code sequence would be: PJRF.

Step 2: Check the given conditions

Let's evaluate each condition for the group 28%5:

1. "If the first element is a number and the last a symbol, the codes for these two are to be interchanged."
- The first element is 2 (a number), but the last element is 5 (also a number, not a symbol). Thus, this condition does not apply.

2. "If the first element is an even number and the last an odd number, the first and last elements are to be coded as $."
- First element = 2 (an even number)
- Last element = 5 (an odd number)
- Since both parts of this condition are true, this condition applies! Therefore, the first element (2) and the last element (5) must both be coded as $.

3. "If both the second and third elements are perfect cubes, the third element is to be coded as the code for the second element."
- The second element is 8 (a cube) and the third element is % (a symbol, not a cube). Thus, this condition does not apply.

Step 3: Apply the condition to form the final code

• First element (2) becomes $
• Second element (8) keeps its basic code: J
• Third element (%) keeps its basic code: R
• Fourth/Last element (5) becomes $

Combining these gives the final code: $JR$.