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Instructions:
A code ABCDEFGH where A, B, C, D, E, F, G, H are all digits, guards the secret formula of a high demand soft drink. The code should follow the following constraints:
1. The 2 digit number AB should be a multiple of 11.
2. The digit C should be a multiple of B.
3. The digit D should be a multiple of B.
4. The 2-digit number EF should be a multiple of the 2-digit number CD.
5. G and H can be any 2 consecutive digits from 1 to 9 such that G<H.
6. None of the digits should be zero or one.
Based on the information given above, answer the questions that follow.
How many codes are possible?
  • a)
    216
  • b)
    378
  • c)
    384
  • d)
    224
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Instructions:A code ABCDEFGH where A, B, C, D, E, F, G, H are all digi...
AB = 22, Possible values of CD are 22, 24, 26, 28, 42, 44, 46, 48, 62, 64, 66, 68, 82, 84, 86, 88.
AB = 33, Possible values of CD are 33, 36, 39, 63, 66, 69, 93, 96, 99.
AB = 44, Possible values of CD are 44, 48, 84, 88.
AB = 55, Possible values of CD are 55.
AB = 66, Possible values of CD are 66.
AB = 77, Possible values of CD are 77.
AB = 88, Possible values of CD are 88.
AB = 99, Possible values of CD are 99.
For the following values of ABCD, we get these values of EF.
ABCD = 2222, EF = 22, 44, 66, 88
ABCD = 2224, EF = 24, 48, 72, 96
ABCD = 2226, EF = 26, 52, 78
ABCD = 2228, EF = 28, 56, 84
ABCD = 2242, EF = 42, 84
ABCD = 2244, EF = 44, 88
ABCD = 2246, EF = 46, 92
ABCD = 2248, EF = 48, 96
ABCD = 2262, EF = 62
ABCD = 2264, EF = 64
ABCD = 2266, EF = 66
ABCD = 2268, EF = 68
ABCD = 2282, EF = 82
ABCD = 2284, EF = 84
ABCD = 2286, EF = 86
ABCD = 2288, EF = 88
ABCD = 3333, EF = 33, 66, 99
ABCD = 3336, EF = 36, 72
ABCD = 3339, EF = 39, 78
ABCD = 3363, EF = 63
ABCD = 3366, EF = 66
ABCD = 3369, EF = 69
ABCD = 3393, EF = 93
ABCD = 3396, EF = 96
ABCD = 3399, EF = 99
ABCD = 4444, EF = 44, 88
ABCD = 4448, EF = 48, 96
ABCD = 4484, EF = 84
ABCD = 4488, EF = 88
ABCD = 5555, EF = 55
ABCD = 6666, EF = 66
ABCD = 7777, EF = 77
ABCD = 8888, EF = 88
ABCD = 9999, EF = 99
Total cases = 54.
Each one will have 23, 34, 45, 56, 67, 78, 89 i.e 7 cases with it.
54 x 7 = 378
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Most Upvoted Answer
Instructions:A code ABCDEFGH where A, B, C, D, E, F, G, H are all digi...
Is greater than H.

To find the code, we can follow these steps:

Step 1: Find the possible values for A and B.
Since AB should be a multiple of 11, A could be any digit from 1 to 9, and B could be any digit from 0 to 9, excluding A. For example, if A is 1, then B could be 0, 2, 3, 4, 5, 6, 7, 8, or 9.

Step 2: Find the possible values for C.
C should be a multiple of B. For each possible value of B, we can find the multiples of B that are less than or equal to 9. For example, if B is 2, then C could be 2, 4, 6, or 8.

Step 3: Find the possible values for D.
D should also be a multiple of B. For each possible value of B, we can find the multiples of B that are less than or equal to 9.

Step 4: Find the possible values for E and F.
EF should be a multiple of CD. For each possible value of C and D, we can find the multiples of CD that are less than or equal to 99.

Step 5: Find the possible values for G and H.
G and H can be any 2 consecutive digits from 1 to 9, such that G is greater than H.

By combining all the possible values for A, B, C, D, E, F, G, and H, we can generate all the valid codes that satisfy the given constraints.
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Instructions:A code ABCDEFGH where A, B, C, D, E, F, G, H are all digits, guards the secret formula of a high demand soft drink. The code should follow the following constraints:1. The 2 digit number AB should be a multiple of 11.2. The digit C should be a multiple of B.3.The digit D should be a multiple of B.4. The 2-digit number EF should be a multiple of the 2-digit number CD.5. G and H can be any 2 consecutive digits from 1 to 9 such that G<H.6. None of the digits should be zero or one.Based on the information given above, answer the questions that follow.How many codes are possible?a)216b)378c)384d)224Correct answer is option 'B'. Can you explain this answer?
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Instructions:A code ABCDEFGH where A, B, C, D, E, F, G, H are all digits, guards the secret formula of a high demand soft drink. The code should follow the following constraints:1. The 2 digit number AB should be a multiple of 11.2. The digit C should be a multiple of B.3.The digit D should be a multiple of B.4. The 2-digit number EF should be a multiple of the 2-digit number CD.5. G and H can be any 2 consecutive digits from 1 to 9 such that G<H.6. None of the digits should be zero or one.Based on the information given above, answer the questions that follow.How many codes are possible?a)216b)378c)384d)224Correct answer is option 'B'. 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 Instructions:A code ABCDEFGH where A, B, C, D, E, F, G, H are all digits, guards the secret formula of a high demand soft drink. The code should follow the following constraints:1. The 2 digit number AB should be a multiple of 11.2. The digit C should be a multiple of B.3.The digit D should be a multiple of B.4. The 2-digit number EF should be a multiple of the 2-digit number CD.5. G and H can be any 2 consecutive digits from 1 to 9 such that G<H.6. None of the digits should be zero or one.Based on the information given above, answer the questions that follow.How many codes are possible?a)216b)378c)384d)224Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Instructions:A code ABCDEFGH where A, B, C, D, E, F, G, H are all digits, guards the secret formula of a high demand soft drink. The code should follow the following constraints:1. The 2 digit number AB should be a multiple of 11.2. The digit C should be a multiple of B.3.The digit D should be a multiple of B.4. The 2-digit number EF should be a multiple of the 2-digit number CD.5. G and H can be any 2 consecutive digits from 1 to 9 such that G<H.6. None of the digits should be zero or one.Based on the information given above, answer the questions that follow.How many codes are possible?a)216b)378c)384d)224Correct answer is option 'B'. Can you explain this answer?.
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