Permutations & Combinations · JEE Main previous year questions

2018 3 questions

1. Q62018 · 16 Apr 2018 · Shift 1

   The number of numbers between 2,000 and 5,000 that can be formed with the digits 0, 1, 2, 3, 4 (repetition of digits is not allowed) and are multiple of 3 is :

   1. A.24
   2. B.30
   3. C.36
   4. D.48
   Show answer

   Answer: B

2. Q62018 · 15 Apr 2018 · Shift 1

   n–digit numbers are formed using only three digits 2, 5 and 7. The smallest value of n for which 900 such distinct numbers can be formed, is :

   1. A.6
   2. B.7
   3. C.8
   4. D.9
   Show answer

   Answer: B

3. Q62018 · 8 Apr 2018 · Shift 1

   From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. The number of such arrangements is :

   1. A.at least 750 but less than 1000
   2. B.at least 1000
   3. C.less than 500
   4. D.at least 500 but less than 750
   Show answer

   Answer: B