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A lock is guarded by a security code that serves as the password. The code is in the following form:
Where a, b, c, d and g are numbers and e, f are alphabets. The following information is also known about the respective characters:
1. 'a' is a prime number from 1 to 10.
2. The 2-digit number 'bc' is also a prime number such that b = a + 1.
3. 'd' = 'bc' % 'a', that is, d is the remainder when the 2-digit number 'bc' is divided by 'a'.
4. 'e' is the alphabet at the index of n, alphabet[n], where n is the highest number of occurrences of any digit(0 to 9) among a,b,c,d. Here,alphabet[1] = A, alphabet[2] = B,..., alphabet[26] = Z.
5. 'f' is the alphabet either preceding or succeeding the alphabet 'e' when all English alphabets are arranged alphabetically.
6. 'g' is the remainder when the sum of digits a, b, c and d is divided by 10. g = (a+b+c+d).
Based on the information given above, answer the questions that follow.
How many codes are possible?
- a)12
- b)24
- c)36
- d)40
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A lock is guarded by a security code that serves as the password. The ...
a can be 2, 3, 5, 7.
Hence, when a = 2, b = 3, bc = 31, 37
When a = 3, b = 4, bc = 41, 43, 47
When a = 5, b = 6, bc = 61, 67
When a = 7, b = 8, bc = 83, 89.
Hence, the different possibilities are,
2311 _ _ _
2371 _ _ _
3412 _ _ _
3431 _ _ _
3472 _ _ _
5611 _ _ _
5672 _ _ _
7836 _ _ _
7895 _ _ _
Now, when it is 2311 _ _ _, 1 occurs twice, which is the highest, hence e = alphabet[2] = B.
Similarly, when it is 2371 _ _ _, the highest occurrence of any digit is once, hence e = alphabet[1] = A.
Similarly, we get the remaining as well,
2311B _ _
2371A _ _
3412A _ _
3431B _ _
3472A _ _
5611B _ _
5672A _ _
7836A _ _
7895A _ _
Hence, e is always either B or A. If e is B. f can be either A or C, if e is A, f can only be B. Hence, we get the following codes.
2311BA _
2311BC _
2371AB _
3412AB _
3431BA _
3431BC _
3472AB _
5611BA _
5611BC _
5672AB _
7836AB _
7895AB _
Now, G has to be calculated. For, 2311BA _, g = (2 + 3 + 1 + 1) = 7
Similarly, we calculate for others as well,
2311BA7
2311BC7
2371AB3
3412AB0
3431BA1
3431BC1
3472AB6
5611BA3
5611BC3
5672AB0
7836AB4
7895AB9
As we can see there are 12 different valid codes.
Hence, when a = 2, b = 3, bc = 31, 37
When a = 3, b = 4, bc = 41, 43, 47
When a = 5, b = 6, bc = 61, 67
When a = 7, b = 8, bc = 83, 89.
Hence, the different possibilities are,
2311 _ _ _
2371 _ _ _
3412 _ _ _
3431 _ _ _
3472 _ _ _
5611 _ _ _
5672 _ _ _
7836 _ _ _
7895 _ _ _
Now, when it is 2311 _ _ _, 1 occurs twice, which is the highest, hence e = alphabet[2] = B.
Similarly, when it is 2371 _ _ _, the highest occurrence of any digit is once, hence e = alphabet[1] = A.
Similarly, we get the remaining as well,
2311B _ _
2371A _ _
3412A _ _
3431B _ _
3472A _ _
5611B _ _
5672A _ _
7836A _ _
7895A _ _
Hence, e is always either B or A. If e is B. f can be either A or C, if e is A, f can only be B. Hence, we get the following codes.
2311BA _
2311BC _
2371AB _
3412AB _
3431BA _
3431BC _
3472AB _
5611BA _
5611BC _
5672AB _
7836AB _
7895AB _
Now, G has to be calculated. For, 2311BA _, g = (2 + 3 + 1 + 1) = 7
Similarly, we calculate for others as well,
2311BA7
2311BC7
2371AB3
3412AB0
3431BA1
3431BC1
3472AB6
5611BA3
5611BC3
5672AB0
7836AB4
7895AB9
As we can see there are 12 different valid codes.
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A lock is guarded by a security code that serves as the password. The code is in the following form:Where a, b, c, d and g are numbers and e, f are alphabets. The following information is also known about the respective characters:1. a is a prime number from 1 to 10.2. The 2-digit number bc is also a prime number such that b = a + 1.3. d = bc % a, that is, d is the remainder when the 2-digit number bc is divided by a.4. e is the alphabet at the index of n, alphabet[n], where n is the highest number of occurrences of any digit(0 to 9) among a,b,c,d. Here,alphabet[1] = A, alphabet[2] = B,..., alphabet[26] = Z.5. f is the alphabet either preceding or succeeding the alphabet e when all English alphabets are arranged alphabetically.6. g is the remainder when the sum of digits a, b, c and d is divided by 10. g = (a+b+c+d).Based on the information given above, answer the questions that follow.How many codes are possible?a)12b)24c)36d)40Correct answer is option 'A'. Can you explain this answer?
Question Description
A lock is guarded by a security code that serves as the password. The code is in the following form:Where a, b, c, d and g are numbers and e, f are alphabets. The following information is also known about the respective characters:1. a is a prime number from 1 to 10.2. The 2-digit number bc is also a prime number such that b = a + 1.3. d = bc % a, that is, d is the remainder when the 2-digit number bc is divided by a.4. e is the alphabet at the index of n, alphabet[n], where n is the highest number of occurrences of any digit(0 to 9) among a,b,c,d. Here,alphabet[1] = A, alphabet[2] = B,..., alphabet[26] = Z.5. f is the alphabet either preceding or succeeding the alphabet e when all English alphabets are arranged alphabetically.6. g is the remainder when the sum of digits a, b, c and d is divided by 10. g = (a+b+c+d).Based on the information given above, answer the questions that follow.How many codes are possible?a)12b)24c)36d)40Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A lock is guarded by a security code that serves as the password. The code is in the following form:Where a, b, c, d and g are numbers and e, f are alphabets. The following information is also known about the respective characters:1. a is a prime number from 1 to 10.2. The 2-digit number bc is also a prime number such that b = a + 1.3. d = bc % a, that is, d is the remainder when the 2-digit number bc is divided by a.4. e is the alphabet at the index of n, alphabet[n], where n is the highest number of occurrences of any digit(0 to 9) among a,b,c,d. Here,alphabet[1] = A, alphabet[2] = B,..., alphabet[26] = Z.5. f is the alphabet either preceding or succeeding the alphabet e when all English alphabets are arranged alphabetically.6. g is the remainder when the sum of digits a, b, c and d is divided by 10. g = (a+b+c+d).Based on the information given above, answer the questions that follow.How many codes are possible?a)12b)24c)36d)40Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A lock is guarded by a security code that serves as the password. The code is in the following form:Where a, b, c, d and g are numbers and e, f are alphabets. The following information is also known about the respective characters:1. a is a prime number from 1 to 10.2. The 2-digit number bc is also a prime number such that b = a + 1.3. d = bc % a, that is, d is the remainder when the 2-digit number bc is divided by a.4. e is the alphabet at the index of n, alphabet[n], where n is the highest number of occurrences of any digit(0 to 9) among a,b,c,d. Here,alphabet[1] = A, alphabet[2] = B,..., alphabet[26] = Z.5. f is the alphabet either preceding or succeeding the alphabet e when all English alphabets are arranged alphabetically.6. g is the remainder when the sum of digits a, b, c and d is divided by 10. g = (a+b+c+d).Based on the information given above, answer the questions that follow.How many codes are possible?a)12b)24c)36d)40Correct answer is option 'A'. Can you explain this answer?.
A lock is guarded by a security code that serves as the password. The code is in the following form:Where a, b, c, d and g are numbers and e, f are alphabets. The following information is also known about the respective characters:1. a is a prime number from 1 to 10.2. The 2-digit number bc is also a prime number such that b = a + 1.3. d = bc % a, that is, d is the remainder when the 2-digit number bc is divided by a.4. e is the alphabet at the index of n, alphabet[n], where n is the highest number of occurrences of any digit(0 to 9) among a,b,c,d. Here,alphabet[1] = A, alphabet[2] = B,..., alphabet[26] = Z.5. f is the alphabet either preceding or succeeding the alphabet e when all English alphabets are arranged alphabetically.6. g is the remainder when the sum of digits a, b, c and d is divided by 10. g = (a+b+c+d).Based on the information given above, answer the questions that follow.How many codes are possible?a)12b)24c)36d)40Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A lock is guarded by a security code that serves as the password. The code is in the following form:Where a, b, c, d and g are numbers and e, f are alphabets. The following information is also known about the respective characters:1. a is a prime number from 1 to 10.2. The 2-digit number bc is also a prime number such that b = a + 1.3. d = bc % a, that is, d is the remainder when the 2-digit number bc is divided by a.4. e is the alphabet at the index of n, alphabet[n], where n is the highest number of occurrences of any digit(0 to 9) among a,b,c,d. Here,alphabet[1] = A, alphabet[2] = B,..., alphabet[26] = Z.5. f is the alphabet either preceding or succeeding the alphabet e when all English alphabets are arranged alphabetically.6. g is the remainder when the sum of digits a, b, c and d is divided by 10. g = (a+b+c+d).Based on the information given above, answer the questions that follow.How many codes are possible?a)12b)24c)36d)40Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A lock is guarded by a security code that serves as the password. The code is in the following form:Where a, b, c, d and g are numbers and e, f are alphabets. The following information is also known about the respective characters:1. a is a prime number from 1 to 10.2. The 2-digit number bc is also a prime number such that b = a + 1.3. d = bc % a, that is, d is the remainder when the 2-digit number bc is divided by a.4. e is the alphabet at the index of n, alphabet[n], where n is the highest number of occurrences of any digit(0 to 9) among a,b,c,d. Here,alphabet[1] = A, alphabet[2] = B,..., alphabet[26] = Z.5. f is the alphabet either preceding or succeeding the alphabet e when all English alphabets are arranged alphabetically.6. g is the remainder when the sum of digits a, b, c and d is divided by 10. g = (a+b+c+d).Based on the information given above, answer the questions that follow.How many codes are possible?a)12b)24c)36d)40Correct answer is option 'A'. Can you explain this answer?.
Solutions for A lock is guarded by a security code that serves as the password. The code is in the following form:Where a, b, c, d and g are numbers and e, f are alphabets. The following information is also known about the respective characters:1. a is a prime number from 1 to 10.2. The 2-digit number bc is also a prime number such that b = a + 1.3. d = bc % a, that is, d is the remainder when the 2-digit number bc is divided by a.4. e is the alphabet at the index of n, alphabet[n], where n is the highest number of occurrences of any digit(0 to 9) among a,b,c,d. Here,alphabet[1] = A, alphabet[2] = B,..., alphabet[26] = Z.5. f is the alphabet either preceding or succeeding the alphabet e when all English alphabets are arranged alphabetically.6. g is the remainder when the sum of digits a, b, c and d is divided by 10. g = (a+b+c+d).Based on the information given above, answer the questions that follow.How many codes are possible?a)12b)24c)36d)40Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of A lock is guarded by a security code that serves as the password. The code is in the following form:Where a, b, c, d and g are numbers and e, f are alphabets. The following information is also known about the respective characters:1. a is a prime number from 1 to 10.2. The 2-digit number bc is also a prime number such that b = a + 1.3. d = bc % a, that is, d is the remainder when the 2-digit number bc is divided by a.4. e is the alphabet at the index of n, alphabet[n], where n is the highest number of occurrences of any digit(0 to 9) among a,b,c,d. Here,alphabet[1] = A, alphabet[2] = B,..., alphabet[26] = Z.5. f is the alphabet either preceding or succeeding the alphabet e when all English alphabets are arranged alphabetically.6. g is the remainder when the sum of digits a, b, c and d is divided by 10. g = (a+b+c+d).Based on the information given above, answer the questions that follow.How many codes are possible?a)12b)24c)36d)40Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A lock is guarded by a security code that serves as the password. The code is in the following form:Where a, b, c, d and g are numbers and e, f are alphabets. The following information is also known about the respective characters:1. a is a prime number from 1 to 10.2. The 2-digit number bc is also a prime number such that b = a + 1.3. d = bc % a, that is, d is the remainder when the 2-digit number bc is divided by a.4. e is the alphabet at the index of n, alphabet[n], where n is the highest number of occurrences of any digit(0 to 9) among a,b,c,d. Here,alphabet[1] = A, alphabet[2] = B,..., alphabet[26] = Z.5. f is the alphabet either preceding or succeeding the alphabet e when all English alphabets are arranged alphabetically.6. g is the remainder when the sum of digits a, b, c and d is divided by 10. g = (a+b+c+d).Based on the information given above, answer the questions that follow.How many codes are possible?a)12b)24c)36d)40Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A lock is guarded by a security code that serves as the password. The code is in the following form:Where a, b, c, d and g are numbers and e, f are alphabets. The following information is also known about the respective characters:1. a is a prime number from 1 to 10.2. The 2-digit number bc is also a prime number such that b = a + 1.3. d = bc % a, that is, d is the remainder when the 2-digit number bc is divided by a.4. e is the alphabet at the index of n, alphabet[n], where n is the highest number of occurrences of any digit(0 to 9) among a,b,c,d. Here,alphabet[1] = A, alphabet[2] = B,..., alphabet[26] = Z.5. f is the alphabet either preceding or succeeding the alphabet e when all English alphabets are arranged alphabetically.6. g is the remainder when the sum of digits a, b, c and d is divided by 10. g = (a+b+c+d).Based on the information given above, answer the questions that follow.How many codes are possible?a)12b)24c)36d)40Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A lock is guarded by a security code that serves as the password. The code is in the following form:Where a, b, c, d and g are numbers and e, f are alphabets. The following information is also known about the respective characters:1. a is a prime number from 1 to 10.2. The 2-digit number bc is also a prime number such that b = a + 1.3. d = bc % a, that is, d is the remainder when the 2-digit number bc is divided by a.4. e is the alphabet at the index of n, alphabet[n], where n is the highest number of occurrences of any digit(0 to 9) among a,b,c,d. Here,alphabet[1] = A, alphabet[2] = B,..., alphabet[26] = Z.5. f is the alphabet either preceding or succeeding the alphabet e when all English alphabets are arranged alphabetically.6. g is the remainder when the sum of digits a, b, c and d is divided by 10. g = (a+b+c+d).Based on the information given above, answer the questions that follow.How many codes are possible?a)12b)24c)36d)40Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A lock is guarded by a security code that serves as the password. The code is in the following form:Where a, b, c, d and g are numbers and e, f are alphabets. The following information is also known about the respective characters:1. a is a prime number from 1 to 10.2. The 2-digit number bc is also a prime number such that b = a + 1.3. d = bc % a, that is, d is the remainder when the 2-digit number bc is divided by a.4. e is the alphabet at the index of n, alphabet[n], where n is the highest number of occurrences of any digit(0 to 9) among a,b,c,d. Here,alphabet[1] = A, alphabet[2] = B,..., alphabet[26] = Z.5. f is the alphabet either preceding or succeeding the alphabet e when all English alphabets are arranged alphabetically.6. g is the remainder when the sum of digits a, b, c and d is divided by 10. g = (a+b+c+d).Based on the information given above, answer the questions that follow.How many codes are possible?a)12b)24c)36d)40Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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