CAT Exam > CAT Questions > Instructions:A code ABCDEFGH where A, B, C, D...
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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 if all the digits from A to H are greater than 4?
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 if all the digits from A to H are greater than 4?
Correct answer is '20'. Can you explain this answer?
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Verified Answer
Instructions:A code ABCDEFGH where A, B, C, D, E, F, G, H are all digi...
Since AB is a multiple of 11, and both A and B are greater than 4, they must be at least 5. So, the possible values for AB are:
55
66
77
88
99
Now, for each of the given values of AB, let us find out all possible values of C and D. Since any other multiple of AB in each case is a number having more than 2 digits, the only multiple is AB itself:
5555
6666
7777
8888
9999
The same is true for EF,
555555
666666
777777
888888
999999
Now for each of the values of ABCDEF, we can have 4 values of GH, 56, 67, 78, 89.
Hence, total number of possible cases = 4 x 5 = 20.
55
66
77
88
99
Now, for each of the given values of AB, let us find out all possible values of C and D. Since any other multiple of AB in each case is a number having more than 2 digits, the only multiple is AB itself:
5555
6666
7777
8888
9999
The same is true for EF,
555555
666666
777777
888888
999999
Now for each of the values of ABCDEF, we can have 4 values of GH, 56, 67, 78, 89.
Hence, total number of possible cases = 4 x 5 = 20.
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 that satisfies these constraints, we can follow these steps:
1. Start with the first constraint. Since AB should be a multiple of 11, we can try all possible values for A and B that satisfy this condition. A and B can be any two-digit number where the difference between the first and second digit is a multiple of 11. For example, we can start with A=1 and B=2, then try A=1 and B=3, and so on until we find a valid combination.
2. Once we have a valid AB pair, we move on to the second constraint. C should be a multiple of B. We can try all possible values for C that satisfy this condition. For example, if B=2, then C can be 2, 4, 6, 8, etc. We continue this process with each valid AB pair until we find a valid C that satisfies the condition.
3. Next, we move on to the third constraint. D should be a multiple of B. We can follow the same process as step 2 to find a valid D for each AB and C combination.
4. Now we have the values for AB, C, and D. We move on to the fourth constraint. EF should be a multiple of CD. We can try all possible values for E and F that satisfy this condition. For example, if CD=24, then EF can be 24, 48, 72, etc. We continue this process with each valid AB, C, and D combination until we find a valid EF that satisfies the condition.
5. Finally, we choose any two consecutive digits from 1 to 9 for G and H, where G is greater than H. This gives us the complete code ABCDEFGH.
Note: It is possible that there may be multiple valid codes that satisfy these constraints.
To find the code that satisfies these constraints, we can follow these steps:
1. Start with the first constraint. Since AB should be a multiple of 11, we can try all possible values for A and B that satisfy this condition. A and B can be any two-digit number where the difference between the first and second digit is a multiple of 11. For example, we can start with A=1 and B=2, then try A=1 and B=3, and so on until we find a valid combination.
2. Once we have a valid AB pair, we move on to the second constraint. C should be a multiple of B. We can try all possible values for C that satisfy this condition. For example, if B=2, then C can be 2, 4, 6, 8, etc. We continue this process with each valid AB pair until we find a valid C that satisfies the condition.
3. Next, we move on to the third constraint. D should be a multiple of B. We can follow the same process as step 2 to find a valid D for each AB and C combination.
4. Now we have the values for AB, C, and D. We move on to the fourth constraint. EF should be a multiple of CD. We can try all possible values for E and F that satisfy this condition. For example, if CD=24, then EF can be 24, 48, 72, etc. We continue this process with each valid AB, C, and D combination until we find a valid EF that satisfies the condition.
5. Finally, we choose any two consecutive digits from 1 to 9 for G and H, where G is greater than H. This gives us the complete code ABCDEFGH.
Note: It is possible that there may be multiple valid codes that satisfy these constraints.
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Community Answer
Instructions:A code ABCDEFGH where A, B, C, D, E, F, G, H are all digi...
Since AB is a multiple of 11, and both A and B are greater than 4, they must be at least 5. So, the possible values for AB are:
55
66
77
88
99
Now, for each of the given values of AB, let us find out all possible values of C and D. Since any other multiple of AB in each case is a number having more than 2 digits, the only multiple is AB itself:
5555
6666
7777
8888
9999
The same is true for EF,
555555
666666
777777
888888
999999
Now for each of the values of ABCDEF, we can have 4 values of GH, 56, 67, 78, 89.
Hence, total number of possible cases = 4 x 5 = 20.
55
66
77
88
99
Now, for each of the given values of AB, let us find out all possible values of C and D. Since any other multiple of AB in each case is a number having more than 2 digits, the only multiple is AB itself:
5555
6666
7777
8888
9999
The same is true for EF,
555555
666666
777777
888888
999999
Now for each of the values of ABCDEF, we can have 4 values of GH, 56, 67, 78, 89.
Hence, total number of possible cases = 4 x 5 = 20.
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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 if all the digits from A to H are greater than 4?Correct answer is '20'. 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 if all the digits from A to H are greater than 4?Correct answer is '20'. 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 if all the digits from A to H are greater than 4?Correct answer is '20'. 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 if all the digits from A to H are greater than 4?Correct answer is '20'. Can you explain this answer?.
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 if all the digits from A to H are greater than 4?Correct answer is '20'. 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 if all the digits from A to H are greater than 4?Correct answer is '20'. 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 if all the digits from A to H are greater than 4?Correct answer is '20'. Can you explain this answer?.
Solutions 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 if all the digits from A to H are greater than 4?Correct answer is '20'. 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 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 if all the digits from A to H are greater than 4?Correct answer is '20'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
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 if all the digits from A to H are greater than 4?Correct answer is '20'. Can you explain this answer?, a detailed solution 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 if all the digits from A to H are greater than 4?Correct answer is '20'. Can you explain this answer? has been provided alongside types of 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 if all the digits from A to H are greater than 4?Correct answer is '20'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 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 if all the digits from A to H are greater than 4?Correct answer is '20'. Can you explain this answer? tests, examples and also practice CAT tests.
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