Question 1 :
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 5. Palate
Question 2 :
A pod of $6$ dolphins always swims single file, with $3$ females at the front and $3$ males in the rear. In how many different arrangements can the dolphins swim?
Question 3 :
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 4 :
The number of unsuccessful attempts that can be made by a thief to open a number lock having $3$ rings in which each rings contains $6$ numbers is
Question 5 :
In a crossword puzzle, $20$ words are to be guessed of which $8$ words have each an alternative solution also. The number of possible solutions will be
Question 6 :
 An automobile dealer provides motor cycles and scooters in three body patterns and $4$ different colours each. The number of choices open to a customer is
Question 7 :
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 8 :
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 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 :
There are $4$ boys and $4$ girls. In how many ways they can sit in a row.
Question 11 :
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 13 :
A group consists of 4 couples in which each of the 4 persons have one wife each. In how many ways could they be arranged in a straight line such that the men and women occupy alternate positions?
Question 14 :
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 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 :
In a class there are 18 boys who are over 160 cm tall If these constitute three-fourths of the boys and the total number of boys is tow-third of the total number of students in the class what is the number of girls in the class?
Question 17 :
A shelf contains $15$ books, of which $4$ are single volume and the others are $8$ and $3$ volumes respectively. In how many ways can these books be arranged on the shelf so that order of the volumes of same work is maintained $?$
Question 18 :
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 19 : 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">             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 20 :
Two persons entered a Railway compartment in which 7 seats were vacant.The number of ways in which they can be seated is
Question 21 :
$15$ buses operate between Hyderabad and Tirupathi.The number of ways can a man go to Tirupathi from Hyderabad by a bus and return by a different bus is
Question 22 :
The greatest number that can be formed by the digits $7,0,9,8,6,3$
Question 23 :
A batsman can score $0,1,2,3,4$ or $6$ runs from a ball. The number of different sequences in which he can score exactly $30$ runs in an over of six balls is:
Question 24 :
The number of nine digit numbers that can be formed with different digits is
Question 25 :
Number of odd numbers of five distinct digits can be formed by the digits $0,1,2,3,4,$ is 
Question 26 :
Ten different letter of an alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have at least one letter repeated is:
Question 27 :
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 28 :
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 29 :
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 30 :
A garrison of '$n$' men had enough food to last for $30$ days. After $10$ days, $50$ more men joined them. If the food now lasted for $16$ days, what is the value of $n$?
Question 31 :
Five persons A, B, C, D and E occupy seats in a row such that A and B sit next to each other. In how many possible ways can these five people sit?
Question 32 :
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 33 :
Using the  digits $0,  2, 4, 6,  8$ not  more than once in any number, the number of $5$ digited numbers that can be formed is<br/>
Question 34 :
Consider the following statements:<br/>1. If $18$ men can earn Rs. $1,440$ in $5$ days, then $10$ men can earn Rs. $ 1,280$ in $6$ days.<br/>2. If $16$ men can earn Rs. $ 1,120$ in $7$ days, then $21$ men can earn Rs. $ 800$ in $4$ days.<br/>Which of the above statements is/are correct?
Question 35 :
There are 44 candidates for a Natural science scholarship, 22 for a Classical and 66 for a Mathematical scholarship,then find the no. of ways one of these scholarship can be awarded is,
Question 36 :
There are $5$ roads leading to a town from a village. The number of different ways in which a villager can go to the town and return back, is
Question 37 :
There  are 'mn' letters and n post boxes. The number of ways in which these letters can be posted is:
Question 38 :
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 39 :
How many ways can $4$ prizes be given away to $3$ boys, if each boy is eligible for all the prizes?
Question 40 :
Find the number of permutations that can be made with the letters of the word $'MOUSE'$
