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Roll numbers given to a select of students are unique 4 digit numbers. One roll number is picked up at random, what is the probability that the chosen number is divisible by 11 or 13 ?
  • a)
    1/6
  • b)
    161/1000
  • c)
    289/1799
  • d)
    289/1800
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Roll numbers given to a select of students are unique 4 digit numbers....
In the question. We have to count 4 digit numbers which are multiples of 11, 13 and 143 (product of 11 and 13).
The first 4 digit multiple of 11, 13 as well as 143 is 1001 = 11×91= 13×77= 143×7
The last 4 digit multiple of 11 is 9999 =11×909 and that of 13 is 9997 =13×769 and for 143 is 9867 (=143×69)
Number of 4 digit multiple of 11, 13 and 143 are (909-91+1), (769-77+1) and (69-7+1)
i.e. 819,693 and 63 respectively.
The number of 4 digit roll numbers which are divisible by 11 and 13 are 819+693-63=1449 Number of 4 digit numbers are from 1000 to 9999 i.e. 9000.
Probability of selection the required roll number = 
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Roll numbers given to a select of students are unique 4 digit numbers. One roll number is picked up at random, what is the probability that the chosen number is divisible by 11 or 13 ?a)1/6b)161/1000c)289/1799d)289/1800Correct answer is option 'B'. Can you explain this answer?
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Roll numbers given to a select of students are unique 4 digit numbers. One roll number is picked up at random, what is the probability that the chosen number is divisible by 11 or 13 ?a)1/6b)161/1000c)289/1799d)289/1800Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Roll numbers given to a select of students are unique 4 digit numbers. One roll number is picked up at random, what is the probability that the chosen number is divisible by 11 or 13 ?a)1/6b)161/1000c)289/1799d)289/1800Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Roll numbers given to a select of students are unique 4 digit numbers. One roll number is picked up at random, what is the probability that the chosen number is divisible by 11 or 13 ?a)1/6b)161/1000c)289/1799d)289/1800Correct answer is option 'B'. Can you explain this answer?.
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