All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
CAT Exam  >  CAT Questions  >  Instructions:A code ABCDEFGH where A, B, C, D... Start Learning for Free
SaveJoin the Discussion on the App
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?
    FREE This question is part of
    Download PDF Attempt Test
    		Download PDF Attempt this Test
    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.
    Attention CAT Students!
    To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
    < Previous Question Next Question >
    Explore Courses for CAT exam

    Similar CAT Doubts

    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.What is the absolute difference between the number of valid codes and invalid codes among the ones given below?226666893399665699999912224692345555555644848434224896673333333244888845 Correct answer is '3'. Can you explain this answer?

    InstructionsComprehension:A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers.The following additional facts are known.1. A and B are to be placed in consecutively numbered shelves in increasing order.2. I and J are to be placed in consecutively numbered shelves both higher numbere d than the shelves in which A and B are kept.3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.4. K is to be placed in shelf number 16.5. L and J are items of the same type, w hile H is an item of a different type.6. C is a candy and is to be placed in a shelf preceded by two empty shelve s.7. L is to be placed in a shelf preceded by exactly one empty shelf.Q. Which of the following statements is necessarily true?

    InstructionsComprehension:A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers.The following additional facts are known.1. A and B are to be placed in consecutively numbered shelves in increasing order.2. I and J are to be placed in consecutively numbered shelves both higher numbere d than the shelves in which A and B are kept.3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.4. K is to be placed in shelf number 16.5. L and J are items of the same type, w hile H is an item of a different type.6. C is a candy and is to be placed in a shelf preceded by two empty shelve s.7. L is to be placed in a shelf preceded by exactly one empty shelf.Q. Which of the following items is not a type of biscuit?

    Top Courses for CATView all

    Top Courses for CAT

    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.
    Explore Courses for CAT exam

    Top Courses for CAT

    Explore Courses

    Suggested Free Tests

    Signup for Free!
    Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
    10M+ students study on EduRev
    Get App
    © EduRev
    Education Revolution
    Follow Us
    Signup to see your scores go up within 7 days!
    Access 1000+ FREE Docs, Videos and Tests
    Takes less than 10 seconds to signup