Question 1 :
A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be white ?

Question 2 :
One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting the jack of hearts.

Question 3 :
A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a number divisible by 5.

Question 4 :
A piggy bank contains hundred 50 p coins, fifty Rs.1 coins, twenty Rs.2 coins and ten Rs.5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin will be a 50 p coin ?

Question 5 :
A box contains 3 blue, 2 white, and 4 red marbles. If a marble is drawn at random from the box, what is the probability that it will be red?

Question 6 :
If the sum of the first n terms of an AP is $4n – n^2$, What is the nth term ?

Question 7 :
Check whether – 150 is a term of the AP : 11, 8, 5, 2 . . .

Question 8 :
Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.

Question 9 :
In an AP, given a = 5, d = 3, $a_n$= 50, find n and $S_n$.

Question 10 :
The houses of a row are numbered consecutively from 1 to 49. Show that there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it. Find this value of x.

Question 11 :
In the following AP, find the missing term: 2, __ ,26

Question 12 :
In an AP, given $a = 8, a_n = 62, S_n = 210$, find n and $d$.

Question 13 :
In a school, students thought of planting trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be the same as the class, in which they are studying, e.g., a section of Class I will plant 1 tree, a section of Class II will plant 2 trees and so on till Class XII. There are three sections of each class. How many trees will be planted by the students?

Question 14 :
Find the sum of the following AP: $\frac{1}{15}, \frac{1}{12}, \frac{1}{10}, . .$ , to 11 terms

Question 15 :
A contract on construction job specifies a penalty for delay of completion beyond a certain date as follows: Rs 200 for the first day, Rs 250 for the second day, Rs 300 for the third day, etc., the penalty for each succeeding day being Rs 50 more than for the preceding day. How much money the contractor has to pay as penalty, if he has delayed the work by 30 days?