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Question 1. The number of ways of arranging n students in a row such that no two boys sit together and no two girls sit together is m(m > 100). If one more student is added, then number of ways of arranging as above increases by 200%. The value of n is:
  1.    12
  2.    8
  3.    9
  4.    10
Answer: Option D

Question 2. There are 10 seats around a circular table. If 8 men and 2 women have to seated around a circular table, such that no two women have to be separated by at least one man. If P and Q denote the respective number of ways of seating these people around a table when seats are numbered and unnumbered, then P : Q equals
  1.    9 : 1
  2.    72 : 1
  3.    10 : 1
  4.    8 : 1
Answer: Option C

Question 3. How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4 if repetition of digits is allowed?
  1.    499
  2.    500
  3.    375
  4.    376
  5.    501
Answer: Option D

Question 4. While packing for a business trip Mr. Debashis has packed 3 pairs of shoes, 4 pants, 3 half-pants,6 shirts, 3 sweater and 2 jackets. The outfit is defined as consisting of a pair of shoes, a choice of "lower wear" (either a pant or a half-pant), a choice of "upper wear" (it could be a shirt or a sweater or both) and finally he may or may not choose to wear a jacket. How many different outfits are possible?
  1.    567
  2.    1821
  3.    743
  4.    1701
Answer: Option D

Question 5. How many positive integers 'n' can be form using the digits 3, 4, 4, 5, 6, 6, 7 if we want 'n' to exceed 60,00,000?
  1.    320
  2.    360
  3.    540
  4.    720
Answer: Option C

Question 6. How many numbers are there between 100 and 1000 such that at least one of their digits is 6?
  1.    200
  2.    225
  3.    252
  4.    120
Answer: Option C