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Choose the best alternatives in place of ? out of the four given alternatives (a), (b), (c), (d).
`M xx N : 13 xx 14 :: F xx R : ? `

A

`7 xx 19`

B

`5 xx 17`

C

`14 xx 15`

D

`6 xx 18`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the analogy problem \( M \, xx \, N : 13 \, xx \, 14 :: F \, xx \, R : ? \), we will follow these steps: ### Step 1: Identify the place values of the letters - The first pair is \( M \) and \( N \). - The place value of \( M \) is 13 (since M is the 13th letter of the alphabet). - The place value of \( N \) is 14 (since N is the 14th letter of the alphabet). ### Step 2: Establish the relationship - The relationship we see is \( M \, xx \, N \) corresponds to \( 13 \, xx \, 14 \). - This indicates that the letters are replaced by their respective place values. ### Step 3: Apply the same logic to the second pair - Now we look at \( F \) and \( R \). - The place value of \( F \) is 6 (since F is the 6th letter of the alphabet). - The place value of \( R \) is 18 (since R is the 18th letter of the alphabet). ### Step 4: Formulate the expression - Following the same pattern, we replace \( F \) and \( R \) with their place values: - \( F \, xx \, R \) becomes \( 6 \, xx \, 18 \). ### Step 5: Calculate the product - Now we calculate the product of the place values: - \( 6 \times 18 = 108 \). ### Step 6: Identify the answer - Thus, the value that replaces the question mark is 108. ### Final Answer The answer is \( 108 \). ---
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