Question

If RASCAL is written as -22, then SIMPLE is written as

• A. -14
• B. -8
• C. 10
• D. 16

Answer 1

The Correct Option is A

To solve the given problem, we need to understand the pattern or logic used to encode the word "RASCAL" as -22. Once the encoding rule is determined, we can apply the same rule to encode the word "SIMPLE". 

Step-by-step Solution:

1. First, let's look at the word "RASCAL" and assign each letter a numerical value corresponding to its position in the English alphabet:

Letter	Position
R	18
A	1
S	19
C	3
A	1
L	12

1. Next, sum the positions of the letters in "RASCAL":
   • \(18 + 1 + 19 + 3 + 1 + 12 = 54\)
2. According to the pattern, the word "RASCAL" is encoded as -22. To find the encoding rule, examine how this sum might relate to -22:
   • Notice that \(54 - 76 = -22\), where 76 is twice the number of letters in "RASCAL", i.e., \(6 \times 13 = 78\).
3. Apply the same pattern to the word "SIMPLE":
   • Letters' positions for "SIMPLE" are: 
     S = 19, I = 9, M = 13, P = 16, L = 12, E = 5 
     Total = \(19 + 9 + 13 + 16 + 12 + 5 = 74\)
   • Encode "SIMPLE": 
     \(74 - (6 \times 13) = 74 - 78 = -14\)
4. Thus, the encoded value of "SIMPLE" is -14.

Conclusion: Based on the encoding pattern we identified, the correct answer is

-14

.