PRACTICE QUESTIONS_23.04.2017

PRACTICE QUESTIONS_23.04.2017

Q1. a)Define polynomial ,

b)write the types of polynomial with example

c)What is the degree of the polynomial.

Q2. Find the quadratic polynomial,  the sum of whose zeroes is 5/2 and whose product is 1.

Q3. If a and b are the zeroes of a polynomial such that a+ b =6 and ab=4 then write the polynomial.

Q4. If 3 is a zero of the polynomial 2x^2 +k , find the value of k. (2x ^2 is 2 x square )

5. Show that any positive odd integer is of the form ( 4m+1) or ( 4m +3 ) , where m is some integer.

Q6.Show that any number 4^n can never end with the digit 0. ( 4^n is 4power n )

Q7.Find the largest number that will divide divide 398 , 436 and 542 leaving remainder 7 , 11 and 15 respectively.

Q8.Using prime factorization find L.C.M of 21,28,36 and 45

Q9.Two dice are thrown at the same time , find the probability that the sum of the two numbers appearing on the top of the dice is more than 9.

Q10.  Do question no 1 of ex 2.3 ( all three parts ) from book.

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ASSIGNMENT 02 (PROBABILITY )_04.04.2017

ASSIGNMENT 02 (PROBABILITY ) BASED ON PLAYING CARDS_04.04.2017

Instructions same as in assignments 1
Do this assignments from next page onwards.

Q1. (i)Draw picture (with pencil) of spade , club , diamond and heart card
(ii) write total number of face cards.
(iii)Write total number of ace cards.
(iv)Write total number of numbered cards.
(v)Write total number of red cards and black cards.

Q2.One card is drawn at random from a well- shuffled deck of 52 cards .Find the probability that the card drawn is
(i)a king   (ii) a red eight (iii) a spade (iv) a red card (v) the six of the club  (vi) a face card.

Q3.One card is drawn at random from a well- shuffled deck of 52 cards .Find the probability that the card drawn is
(i) a king of red suite (ii) a queen of black suite (iii) a jack of hearts (iv) a red face card  ( v) a card of spade or an ace (vi) a black king ( vii) neither a jack nor a king (viii) either a queen or a king

Q4.One card is drawn at random from a well- shuffled deck of 52 cards .Find the probability that the card drawn is
(i) either a red card or a king (ii) neither a red card nor a queen (iii) a black queen (iv) a red four (v) a ten of spade (vi) a picture card

Q5.All the black cards are removed from a pack of 52 playing cards .The remaining cards are well shuffled and then a card is drawn at random .Find the probability of getting a
(i)face card  (ii) red card (iii) black card (iv) king

Q6.Red queen and black jacks  are removed from a pack of 52 playing cards .The remaining cards are well shuffled and then a card is drawn at random .Find the probability of getting a
(i) a king  (ii) a card of red colour (iii) a face card  (iv) a queen

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ASSIGNMENT (PROBABILITY )_31.03.2017

ASSIGNMENT (PROBABILITY)_31.03.2017

Instructions
* Do these questions on assignment note book
* Do questions serial wise
*Write questions with black pen and answer with blue pen (if possible )
*leave two lines after every answer and draw line with pencil.
*Make index on first page

1.Define the term probability and sample space.Also write the formula to find the probability of an event.
2.A die is thrown once .What is the probability that it show (i) a 3 (ii) a 5 (iii) an even number  ( iv) an odd number (v) a prime number
3.Two coins are tossed simultaneously. What is the probability of getting atleast one head ?
4.Three unbiased coins are tossed simultaneously. Find the probability of getting  (i) exactly two heads (ii) at least 2 heads (iii) at most two heads
5.A box contains 100 red balls , 200 yellow balls and 50 blue balls.If a ball is drawn at random from the box , then find the probability that it will be (i) a blue ball (ii) not a yellow ball (iii) neither yellow nor blue ball
6.A bag contains 5 red balls and some blue balls .If the probability of drawing a blue ball from the bag is thrice that of red ball .Find the number of blue balls in the bag.
7.A letter of english alphabets is choosen at random .Determine the probability that the choosen letter is a consonant.
8.If the probability of winning the game is 0.7 , what is the probability of lossing it ?
9.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 (i) a two digit number (ii) a perfect square number (iii) a number divisible by 5
10.A lot of 20 bulbs contains 4 defective ones.One bulb is drawn at random from the lot.What is the probability that this bulb is not defective .
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