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In a code language AT is coded as 401; CAT is coded as 410. What is the code for MAT?
- a)470
- b)490
- c)570
- d)590
Correct answer is option 'C'. Can you explain this answer?
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In a code language AT is coded as 401; CAT is coded as 410. What is th...
To find the code for MAT, we need to analyze the given codes for AT and CAT. Let's break down the given codes and look for any patterns:
AT is coded as 401.
CAT is coded as 410.
From these codes, we can observe the following patterns:
1. The first digit of the code represents the number of letters in the word.
2. The second digit represents the position of the first letter in the word.
3. The third digit represents the position of the second letter in the word.
Using these patterns, we can conclude that:
- The word "AT" has 2 letters, and the positions of the letters are 1 and 2. Therefore, the code for AT is 401.
- The word "CAT" has 3 letters, and the positions of the letters are 1, 2, and 3. Therefore, the code for CAT is 410.
Now, let's apply the same patterns to the word "MAT":
- The word "MAT" has 3 letters, and the positions of the letters are 1, 2, and 3. Therefore, the code for MAT should have the first digit as 3.
- The first letter "M" is in the position 1, the second letter "A" is in the position 2, and the third letter "T" is in the position 3. Therefore, the code for MAT should have the second digit as 1 and the third digit as 2.
Combining these digits, we get the code for MAT as 312. However, none of the given options match this code. Therefore, we need to re-evaluate our analysis.
Upon closer observation, we can notice that the positions of the letters are being represented in reverse order. So, let's correct our analysis:
- The word "MAT" has 3 letters, and the positions of the letters in reverse order are 3, 2, and 1. Therefore, the code for MAT should have the first digit as 3.
- The first letter "M" is in the position 3, the second letter "A" is in the position 2, and the third letter "T" is in the position 1. Therefore, the code for MAT should have the second digit as 3 and the third digit as 1.
Combining these digits, we get the code for MAT as 331. None of the given options match this code.
Hence, there seems to be an error or inconsistency in the given codes or question. The correct code for MAT cannot be determined based on the given information.
AT is coded as 401.
CAT is coded as 410.
From these codes, we can observe the following patterns:
1. The first digit of the code represents the number of letters in the word.
2. The second digit represents the position of the first letter in the word.
3. The third digit represents the position of the second letter in the word.
Using these patterns, we can conclude that:
- The word "AT" has 2 letters, and the positions of the letters are 1 and 2. Therefore, the code for AT is 401.
- The word "CAT" has 3 letters, and the positions of the letters are 1, 2, and 3. Therefore, the code for CAT is 410.
Now, let's apply the same patterns to the word "MAT":
- The word "MAT" has 3 letters, and the positions of the letters are 1, 2, and 3. Therefore, the code for MAT should have the first digit as 3.
- The first letter "M" is in the position 1, the second letter "A" is in the position 2, and the third letter "T" is in the position 3. Therefore, the code for MAT should have the second digit as 1 and the third digit as 2.
Combining these digits, we get the code for MAT as 312. However, none of the given options match this code. Therefore, we need to re-evaluate our analysis.
Upon closer observation, we can notice that the positions of the letters are being represented in reverse order. So, let's correct our analysis:
- The word "MAT" has 3 letters, and the positions of the letters in reverse order are 3, 2, and 1. Therefore, the code for MAT should have the first digit as 3.
- The first letter "M" is in the position 3, the second letter "A" is in the position 2, and the third letter "T" is in the position 1. Therefore, the code for MAT should have the second digit as 3 and the third digit as 1.
Combining these digits, we get the code for MAT as 331. None of the given options match this code.
Hence, there seems to be an error or inconsistency in the given codes or question. The correct code for MAT cannot be determined based on the given information.
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Community Answer
In a code language AT is coded as 401; CAT is coded as 410. What is th...
AT → 401 ⇒12 + 202 = 1 + 400 = 401
CAT → 410 = 32 + 12 + 202 = 9 + 1 + 400 = 410
∴ MAT → 132 + 12 + 202
= 169 + 1 + 400 = 570
CAT → 410 = 32 + 12 + 202 = 9 + 1 + 400 = 410
∴ MAT → 132 + 12 + 202
= 169 + 1 + 400 = 570
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In a code language AT is coded as 401; CAT is coded as 410. What is the code for MAT?a)470b)490c)570d)590Correct answer is option 'C'. Can you explain this answer?
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