Quantitative Aptitude

1. A box contains 2 blue caps, 4 red caps, 5 green caps and 1 yellow cap. If four caps are picked at random, what is the probability that none is green?                                                                   (1)

  1. (1) 7/99
  2. (2) 5/99
  3. (3) 7/12
  4. (4) 5/12
  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. How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?                                                     (4)

  1. (1).5
  2. (2).10
  3. (3).15
  4. (4).20
  5. (5).None of these