Quantitative Aptitude

1. How many different letter arrangements can be made from the letter of the word EXTRA in such a way that the vowels are always together?                                                                                 (1)

  1. (1) 48
  2. (2) 60
  3. (3) 40
  4. (4) 30
  5. (5) None of these

2. In how many ways can a committee of 5 be made out 6 men and 4 women containing atleast one woman?   (1)

  1. (1) 246
  2. (2) 222
  3. (3) 186
  4. (4) 286
  5. (5) None of these

3. Everybody in a room shakes hands with every else. If total number of hand-shaken is 66, then number of persons in the room is                                                                                           (2)

  1. (1) 11
  2. (2) 12
  3. (3) 13
  4. (4) 14
  5. (5) None of these

4. Two dice are thrown simultaneously. The probability of obtaining a total score of seven is                       (1)

  1. (1) 1/6
  2. (2) 1/3
  3. (3) 2/7
  4. (4) 5/6
  5. (5) None of these

5. Four balls are drawn at random from a bag containing 5 white, 4 green and 3 black balls. The probability that exactly two of them are white is                                                                                         (1)

  1. (1) 14/33
  2. (2) 7/16
  3. (3) 18/33
  4. (4) 9/16
  5. (5) None of these