Question 1 :
In the series given below. count the number of 9s, each of which Is not immediately preceded by 5 but is immediately followed by either 2 or 3. How many such 9s are there?<br>1 9 2 6 5 9 3 8 3 9 3 2 5 9 2 9 3 4 8 2 6 9 8<br>

Question 2 :
Find the number of permutations that can be made with the letters of the word $'MOUSE'$

Question 3 :
There are $4$ boys and $4$ girls. In how many ways they can sit in a row.

Question 4 :
Using the &#160;digits $0, &#160;2, 4, 6, &#160;8$ not &#160;more than&#160;once in any number, the number of $5$ digited&#160;numbers that can be formed is<br/>

Question 5 :
&#160;An automobile dealer provides motor cycles and&#160;scooters in three body patterns and $4$ different&#160;colours each. The number of choices open to a&#160;customer is

Question 6 :
How many different signals can be transmitted by arranging 3 red, 2 yellow and 2 green flags on a pole? [Assume that all the 7 flags are used to transmit a signal].

Question 7 :
There are $'m'$ copies each of $'n'$ different books in a university library. The number of ways in which one or more than one book can be selected is

Question 8 :
A group of 1200 persons consisting of captains and soldiers is travelling in a train. For every 15 soldiers there is one captain. The number of captains in the group is:

Question 9 :
$3$ letters are posted in $5$ letters boxes. If all the letters are not posted in the same box, then number of ways of posting is

Question 10 :
A bag contains Rs. $112$ in the form of $1$-rupee, $50$-paise and $10$-paise coins in the ratio $3 : 8 : 10$. What is the number of $50$-paise coins?

Question 11 :
There are $5$ doors to a lecture hall. The number of ways that a student can enter the hall and leave it by a different door is

Question 12 :
The number of unsuccessful attempts that can&#160;be made by a thief to open a number lock having $3$ rings in which each rings contains $6$ numbers&#160;is

Question 13 :
There are $5$ roads leading to a town from a village.&#160;The number of different ways in which a villager&#160;can go to the town and return back, is

Question 14 :
Re. 1 and Rs. 5 coins are available (as many required). Find the smallest payment which cannot be made by these coins, if not more than 5 coins are allowed.

Question 15 :
State following are True or False<br/>If m=n=p and the groups have identical qualitative characterstic then the number of groups $=\dfrac { (3n)! }{ n!n!n!3! } $<br/>Note : If 3n different things are to be distributed equally three people then the number of ways$=\dfrac { (3n)! }{ { (n!) }^{ 3 } } $

Question 16 :
How many ways can $4$ prizes be given away to $3$ boys, if each boy is eligible for all the prizes?

Question 17 :
If the letters of word ' IMPORTANCE ' are arranged from left to right in alphabetic order , then which letter will be the fifth from left <br>

Question 18 :
Ten different letters of an alphabet are given. Words with 5 letters are formed from these given letters. Then the number of words which have at least one letter repeated is

Question 19 :
There &#160;are 'mn' letters and n post boxes. The number of ways in which these letters can be posted is:

Question 20 :
Out of 100 students 50 fail in English and 30 in Maths. If 12 students fail in both English and Maths, then the number of students passing both the subjects is

Question 21 :
On the eve of Diwali festival, a group of 12 friends greeted every other friend by sending greeting cards. Find the number of cards purchased by the group.

Question 22 :
There are&#160;44&#160;candidates for a Natural science scholarship,&#160;22&#160;for a Classical and&#160;66&#160;for a Mathematical scholarship,then find the no. of ways one of these scholarship can be awarded is,

Question 23 :
The greatest number that can be formed by the digits $7,0,9,8,6,3$

Question 24 :
Arrange the given words in the sequence in which they occur in the dictionary and then choose the correct sequence.<br/>1. Page 2. Pagan 3. Palisade 4. Pageant&#160;5. Palate

Question 25 :
The given table shows the possible food choices for lunch. How many different types of lunch can be made each including $1$ type of soup, $1$ type of sandwich and $1$ type of salad?<table class="wysiwyg-table"><tbody><tr><td colspan="3">&#160; &#160; &#160; &#160; &#160; &#160; &#160;Lunch Choices</td></tr><tr><td>Soup</td><td>Sandwich</td><td>Salad</td></tr><tr><td>Chicken</td><td>Cheese</td><td>Vegetable</td></tr><tr><td>Tomato</td><td>Paneer</td><td>Fruit</td></tr></tbody></table>

Question 26 :
The number of different 6-digit numbers that can be formed using the three digits 0,1 and 2 is

Question 27 :
How many different words can be formed by taking four letters out of the letters of the word 'AGAIN' if each word has to start with A ?

Question 28 :
The total number of permutation of $n$ different things taken not more then $r$ at a time, where each thing may be repeated any number of times, is

Question 29 :
There are three stations $A,\space B$ and $C$, five routes for going from station $A$ to station $B$ and four routes for going from station $B$ to station $C$.<br>Find the number of different ways through which a person can go from station $A$ to $C$ via $B$

Question 30 :
How many 10 digits number can be written by using digits (9 and 2) ?