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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 such that each digit from A to H is necessarily prime?
    Correct answer is '4'. Can you explain this answer?
    Verified Answer
    Instructions:A code ABCDEFGH where A, B, C, D, E, F, G, H are all digi...
    Since we can use only prime digits, GH can only be 23.
    AB can be 22, 33, 55, 77.
    When AB is 22, ABCDEFGH can be 22222223
    When AB is 33, ABCDEFGH can be 33333323
    When AB is 55, ABCDEFGH can be 55555523
    When AB is 77, ABCDEFGH can be 77777723
    Hence, only 4 codes.
    View all questions of this test
    Most Upvoted Answer
    Instructions:A code ABCDEFGH where A, B, C, D, E, F, G, H are all digi...
    Is not equal to H.

    To find the code, we can start by finding the possible values for each digit:

    1. The 2-digit number AB should be a multiple of 11:
    - The possible values for A are 1 and 2.
    - The possible values for B are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, as long as AB is a multiple of 11.

    2. The digit C should be a multiple of B:
    - Since C is a digit, it can only be one of the possible values for B that is a multiple of B.

    3. The digit D should be a multiple of B:
    - Since D is a digit, it can only be one of the possible values for B that is a multiple of B.

    4. The 2-digit number EF should be a multiple of the 2-digit number CD:
    - EF should be a multiple of CD, so we need to find the possible values for CD and check which values of EF are multiples of them.
    - CD can be any of the possible values for B.
    - For each value of CD, we can check which values of EF are multiples of CD.

    5. G and H can be any 2 consecutive digits from 1 to 9 such that G is not equal to H.

    By following these constraints, we can find the code for the secret formula of the high demand soft drink.
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    The chief scientist of a major vaccine producing company has the responsibility to keep the formula of the vaccine confidential. He stores the formula in his e-device with 3 consecutive locks, all of which need to be unlocked to access the formula. The first of the 3 locks is a pattern lock, the second one is a numeric lock and the third and final one is an alphanumeric lock. The pattern lock is in the form of a regular hexagon with 6 distinct vertices A1, A2, A3, A4, A5, A6, in that order. One needs to connect all the 6 vertices one after the another in any random order connecting each vertex only once and only one order of connecting the 6 vertices exists which will unlock the first lock. The numeric lock has a code of ABC, where A, B and C are single digit natural numbers. A is a multiple of 2. B is a multiple of 3, C is a multiple of 4 but not equal to A.The alphanumeric lock has a code MNPQRS, where M and N are alphabets and P, Q, R and S are digits. M and N have to be consecutive vowels or consecutive consonants, not necessarily in order. Two alphabets are said to be consecutive vowels if both of them are vowels and they are consecutive when all the 5 vowels are written in alphabetical order. For example, E and I are consecutive vowels, but A and O are not. Two alphabets are said to be consecutive consonants if both of them are consonants and they are consecutive when all the 21 consonants are written in alphabetical order. For example, D and F are consecutive consonants but D and V are not. For example, M and N can be A and E respectively or E and A respectively. P is equal to Base-Ten-Index of M. Q is equal to the Base-Ten-Index of N. R and S can only take binary values, that is, 0 or 1.Base-Ten-Index of an alphabet = Index of alphabet % 10, where Index of an alphabet is its position when all alphabets from A to Z are arranged alphabetically and a%b is the remainder when a is divided by b.For example, Base-Ten-Index of J = 10 = 0 , Base-Ten-Index of M = 13 = 3.The chief scientist can only set passwords/patterns which follow all of the conditions mentioned above.Based on the information given above, answer the questions that follow.Q.How many alphanumeric codes for the third lock are possible which necessarily have an A as one of the alphabets in the code?

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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 such that each digit from A to H is necessarily prime?Correct answer is '4'. Can you explain this answer?
    Question Description
    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 such that each digit from A to H is necessarily prime?Correct answer is '4'. 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 such that each digit from A to H is necessarily prime?Correct answer is '4'. 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 such that each digit from A to H is necessarily prime?Correct answer is '4'. 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 such that each digit from A to H is necessarily prime?Correct answer is '4'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
    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 such that each digit from A to H is necessarily prime?Correct answer is '4'. 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 such that each digit from A to H is necessarily prime?Correct answer is '4'. 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 such that each digit from A to H is necessarily prime?Correct answer is '4'. 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 such that each digit from A to H is necessarily prime?Correct answer is '4'. 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 such that each digit from A to H is necessarily prime?Correct answer is '4'. Can you explain this answer? tests, examples and also practice CAT tests.
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