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Group Question
Answer the following question based on the information given below.
The security personnel of a leading employment organization insisted on developing a new system of allotting the unique ID numbers to its employees to prevent the tampering of ID numbers by any of the unscrupulous members. They insisted that the 10 digit number must include all the numbers from 0-9 exactly once. Further, all the ID numbers should also be exactly divisible by all the numbers from 1-9.
What could be the smallest ID number that could be generated using this system?
  • a)
    1236579480
  • b)
    1234598760
  • c)
    1234759680
  • d)
    None of these 
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Group QuestionAnswer the following question based on the information g...
Any number using all the digits will be divisible by both 3 and 9. Since the numbers have to be divisible by both 2 and 5, they must end in 0.
Any number divisible by 3 and 2 will be divisible by 6. And, if a number is divisible by 8, then it will be divisible by 4.
So, if the number ends in 0, we only need to find whether it is divisible by 7 and 8. Any number whose last three digits are divisible by 8 will be divisible by 8.
Furthermore, since the numbers end in 0, for the last three digits to be divisible by 8, the two-digit number formed by the hundreds and tens digits (in that order) must be divisible by 4.
For a number to be the smallest, the digits on the left must be smallest possible. So, consider 123456***0.
The missing digits are 7, 8 and 9. But, no two-digit numbers formed by 7, 8 and 9 are divisible by 4. So, choose a slightly larger number, swapping the 7 for the 6: 123457***0.
Now, missing digits are 6, 8 and 9, which yield two two-digit numbers divisible by 4: 68 and 96.
So, we can test 1234579680 and 1234578960 for divisibility by 7.
Continuing in this manner, choosing slightly larger number each time, we get to the solution: 1234759680.
Hence, option 3.
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Group QuestionAnswer the following question based on the information given below.The security personnel of a leading employment organization insisted on developing a new system of allotting the unique ID numbers to its employees to prevent the tampering of ID numbers by any of the unscrupulous members. They insisted that the 10 digit number must include all the numbers from 0-9 exactly once. Further, all the ID numbers should also be exactly divisible by all the numbers from 1-9.What could be the smallest ID number that could be generated using this system?a)1236579480b)1234598760c)1234759680d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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Group QuestionAnswer the following question based on the information given below.The security personnel of a leading employment organization insisted on developing a new system of allotting the unique ID numbers to its employees to prevent the tampering of ID numbers by any of the unscrupulous members. They insisted that the 10 digit number must include all the numbers from 0-9 exactly once. Further, all the ID numbers should also be exactly divisible by all the numbers from 1-9.What could be the smallest ID number that could be generated using this system?a)1236579480b)1234598760c)1234759680d)None of theseCorrect answer is option 'C'. 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 Group QuestionAnswer the following question based on the information given below.The security personnel of a leading employment organization insisted on developing a new system of allotting the unique ID numbers to its employees to prevent the tampering of ID numbers by any of the unscrupulous members. They insisted that the 10 digit number must include all the numbers from 0-9 exactly once. Further, all the ID numbers should also be exactly divisible by all the numbers from 1-9.What could be the smallest ID number that could be generated using this system?a)1236579480b)1234598760c)1234759680d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Group QuestionAnswer the following question based on the information given below.The security personnel of a leading employment organization insisted on developing a new system of allotting the unique ID numbers to its employees to prevent the tampering of ID numbers by any of the unscrupulous members. They insisted that the 10 digit number must include all the numbers from 0-9 exactly once. Further, all the ID numbers should also be exactly divisible by all the numbers from 1-9.What could be the smallest ID number that could be generated using this system?a)1236579480b)1234598760c)1234759680d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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