Quantitative Aptitude

1. An urn contains 3 red and 4 green marbles. If three marbles are picked at random, what is the probability that two green and one is red?                                                           (2)

  1. (1) 3/7
  2. (2) 18/35
  3. (3) 5/14
  4. (4) 4/21
  5. (5) None of these

2. A student has 60% chance of passing in English and 54% chance of passing in both English and Mathematics. What is the percentage probability that he will fail in Mathematics?                                       (4)

  1. (1) 12
  2. (2) 36
  3. (3) 4
  4. (4) 10
  5. (5) 14

3. When three coins are tossed together, the probability that all coins have the same face up, is                    (3)

  1. (1) 1/3
  2. (2) 1/6
  3. (3) 1/8
  4. (4) 1/12
  5. (5) 1/17

4. Ten identical particles are moving randomly inside a closed box. What is the probability that at any given point of time all the ten particles will be lying in the same half of the box?                                                   (2)

  1. (1) 1/4
  2. (2) 1/512
  3. (3) 2/92
  4. (4) 2/112
  5. (5) 1/232

5. 3 digits are chosen at random from 1,2,3,4,5,6,7,8 and 9 without repeating any digit. What is the probability that their product is odd?                                                                              (3)

  1. (1) 2/3
  2. (2) 5/108
  3. (3) 5/42
  4. (4) 8/42
  5. (5) 9/42