Quantitative Aptitude

1. In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?         (1)

1. 1. 63
2. 2. 90
3. 3. 126
4. 4. 45
5. 5. 135

2. How many 4-letter words with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed?                                                 (3)

1. 1. 40
2. 2. 400
3. 3. 5040
4. 4. 2520

3. In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together?                                                         (3)

1. 1. 10080
2. 2. 4989600
3. 3. 120960
4. 4. None of these

4. In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together?                                                              (2)

1. 1. 120
2. 2. 720
3. 3. 4320
4. 4. 2160
5. 5. None of these

5. A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:                                                    (4)

1. 1. 22
2. 2. 23
3. 3. 24
4. 4. 26