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.
What is the absolute difference between the number of valid codes and invalid codes among the ones given below?22666689
33996656
99999912
22469234
55555556
44848434
22489667
33333332
44888845 
    Correct answer is '3'. 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...
    22666689 - right
    33996656 - wrong - EF is not a multiple of CD
    99999912 - wrong - 1 is not allowed
    22469234 - right
    55555556 - right
    44848434 - right
    22489667 - right
    33333332 - wrong - G should be less than H
    44888845 - right
    |3 - 6| = 3.
    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, follow these steps:

    1. Start by finding all possible two-digit numbers that are multiples of 11. These numbers are 11, 22, 33, 44, 55, 66, 77, and 88. Let's call this set of numbers X.

    2. Choose one number from set X as AB. For example, let's choose AB = 44.

    3. Find all possible values for B by dividing C and D by AB, and checking if the remainder is 0. For example, if AB = 44, then possible values for B are 1, 2, 4, 11, 22, and 44.

    4. Choose one value for B and find all possible values for C by multiplying B by a number. For example, if B = 4, then possible values for C are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, and 80.

    5. Choose one value for B and one value for C, then find all possible values for D by multiplying B by a number. For example, if B = 4 and C = 20, then possible values for D are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, and 80.

    6. Choose one value for B, one value for C, and one value for D. Find all possible two-digit numbers EF that are multiples of CD. For example, if B = 4, C = 20, and D = 40, then possible values for EF are 20, 40, 60, 80, and 100.

    7. Choose one value for B, one value for C, one value for D, and one value for EF. Find all possible values for G and H. G can be any digit from 1 to 9, and H can be the digit that comes after G. For example, if B = 4, C = 20, D = 40, and EF = 40, then possible values for G and H are 1 and 2, 2 and 3, 3 and 4, 4 and 5, 5 and 6, 6 and 7, 7 and 8, and 8 and 9.

    8. Repeat steps 2 to 7 for all possible values of AB.

    9. The code ABCDEFGH will be the combination of one value for AB, one value for B, one value for C, one value for D, one value for EF, and one value for G and H.

    Note: There may be multiple valid codes that satisfy all the constraints.
    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

    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?

    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 can represent the numbers of the empty shelves in a possible arrangement?

    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.What is the absolute difference between the number of valid codes and invalid codes among the ones given below?226666893399665699999912224692345555555644848434224896673333333244888845Correct answer is '3'. 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.What is the absolute difference between the number of valid codes and invalid codes among the ones given below?226666893399665699999912224692345555555644848434224896673333333244888845Correct answer is '3'. 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.What is the absolute difference between the number of valid codes and invalid codes among the ones given below?226666893399665699999912224692345555555644848434224896673333333244888845Correct answer is '3'. 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.What is the absolute difference between the number of valid codes and invalid codes among the ones given below?226666893399665699999912224692345555555644848434224896673333333244888845Correct answer is '3'. 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.What is the absolute difference between the number of valid codes and invalid codes among the ones given below?226666893399665699999912224692345555555644848434224896673333333244888845Correct answer is '3'. 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.What is the absolute difference between the number of valid codes and invalid codes among the ones given below?226666893399665699999912224692345555555644848434224896673333333244888845Correct answer is '3'. 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.What is the absolute difference between the number of valid codes and invalid codes among the ones given below?226666893399665699999912224692345555555644848434224896673333333244888845Correct answer is '3'. 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.What is the absolute difference between the number of valid codes and invalid codes among the ones given below?226666893399665699999912224692345555555644848434224896673333333244888845Correct answer is '3'. 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.What is the absolute difference between the number of valid codes and invalid codes among the ones given below?226666893399665699999912224692345555555644848434224896673333333244888845Correct answer is '3'. 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.What is the absolute difference between the number of valid codes and invalid codes among the ones given below?226666893399665699999912224692345555555644848434224896673333333244888845Correct answer is '3'. 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
    Signup to see your scores go up within 7 days!
    Access 1000+ FREE Docs, Videos and Tests
    Takes less than 10 seconds to signup