Question

YES : 49 :: YOU : 61 :: ?
Which of the following can replace the question mark in the above analogy:
A. BOW : 40
B. COW : 42
C. LIE : 26
D. SIT : 48
E. DOT : 38
Choose the correct answer from the options given below:

• A. A and E only
• B. A, C and D only
• C. B, C and E only
• D. B and D only

Hint:

To save valuable time in competitive exams, memorize the positional values of the alphabet using the EJOTY mnemonic:
\(E = 5, J = 10, O = 15, T = 20, Y = 25\).
This allows you to quickly interpolate the positions of surrounding letters.

Answer 1

The Correct Option is B

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Step 1: Understanding the Question: This question falls under the category of letter-number analogies and verbal reasoning.
We need to establish a relation between the words and the given numbers, then apply this relation to find the correct options that satisfy the same analogy.

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Step 2: Key Formula or Approach: The standard approach in such alphabetical analogies is to map each letter of the alphabet to its respective numerical positional value.
Let \(A = 1, B = 2, C = 3, \dots, Z = 26\).
We then sum the positional values of the letters in each word and check if it equals the given number.

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Step 3: Detailed Explanation:
First, let us analyze the given examples:
1. For the word YES:
Positional value of \(Y = 25\)
Positional value of \(E = 5\)
Positional value of \(S = 19\)
Sum of these values:
\[ 25 + 5 + 19 = 49 \]
This matches the first part of the analogy: \(YES : 49\).
2. For the word YOU:
Positional value of \(Y = 25\)
Positional value of \(O = 15\)
Positional value of \(U = 21\)
Sum of these values:
\[ 25 + 15 + 21 = 61 \]
This matches the second part of the analogy: \(YOU : 61\).
Now, let us evaluate the given options one by one:
- A. BOW : 40
Positional values: \(B = 2, O = 15, W = 23\).
Sum: \(2 + 15 + 23 = 40\). This matches the given statement. (Correct)
- B. COW : 42
Positional values: \(C = 3, O = 15, W = 23\).
Sum: \(3 + 15 + 23 = 41\). But the given number is 42. (Incorrect)
- C. LIE : 26
Positional values: \(L = 12, I = 9, E = 5\).
Sum: \(12 + 9 + 5 = 26\). This matches the given statement. (Correct)
- D. SIT : 48
Positional values: \(S = 19, I = 9, T = 20\).
Sum: \(19 + 9 + 20 = 48\). This matches the given statement. (Correct)
- E. DOT : 38
Positional values: \(D = 4, O = 15, T = 20\).
Sum: \(4 + 15 + 20 = 39\). But the given number is 38. (Incorrect)
Comparing these results, we find that only statements A, C, and D are correct.

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Step 4: Final Answer: Statements A, C, and D only are correct. This corresponds directly to option (B).