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```1)In how many ways can the letters of the word 'ACUMEN' be rearranged such that the vowels always appear together?

a) 216

b) 720

c) 116

d) 144

**Answer:**d) 144

**Explanation:**

```
```2) How many number of three digit numbers can be formed using the digits 2, 3, 4, 5 in which no repetition of digits are possible?

a) 24

b) 72

c) 36

d) 144

**Answer:**a) 24

**Explanation:**

```
```3) A credit card number has 5 digits (between 1 to 9) The first two digits are 12 in that order, the third digit is bigger than 6, and the fourth digit is 3 times the 5th digit. How many different credit card combinations are possible?

a) 6

b) 9

c) 10

d) 27

**Answer:**b) 9

**Explanation:**

```
```4) In how many different ways can the letters of the word 'LEADING' be arranged in such a way
that the vowels always come together?

a) 360

b) 480

c) 720

d) 5040

**Answer:**c) 720

**Explanation:**

```
```5)How many ways can Jason sit with his five friends in a row of six seats, if Jason insists on sitting one of the corner of the row?

a) 120

b) 360

c) 720

d) 240

**Answer:**d) 240

**Explanation:**

```
```6) In how many ways can the letters of the word 'ERGONOMICS' be rearranged such that the vowels always appear together?

a) 7 ! / 6 !

b) 6 ! / 2!

c)7! x 4 !

d) (7 ! x 4 !) / 2 !

**Answer:**d) (7 ! x 4 !) / 2 !

**Explanation:**

```
```7)How many different seven letter words can be formed (the words need not be meaningful) using the letters of the word PACIFIC such that the first letter is P and the last letter is F?

a) 30

b) 60

c) 120

d) 24

**Answer:**a) 30

**Explanation:**

```
```8)A number lock consists of 3 rings each marked with 10 different numbers. How many combinations are possible such that the 0 is not the first number?

a) 1000

b) 728

c) 999

d) 900

**Answer:**d) 900

**Explanation:**

```
```9) 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?

a) 5

b) 10

c) 15

d) 20

**Answer:**d) 20

**Explanation:**

```
```10) How many ways can one arrange the word EDUCATION such that relative positions of vowels and consonants remains same?

a) 2880

b) 1440

c) 720

d) 360

**Answer:**a) 2880

**Explanation:**