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#### Information Processing Model Question Paper

8th Standard EM

Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 50
3 x 1 = 3
1. How many outcomes can you get when you toss three coins once?

(a)

6

(b)

8

(c)

3

(d)

2

2. In how many ways can you answer 3 multiple choice questions, with the choices A, B, C and D?

(a)

4

(b)

3

(c)

12

(d)

64

3. How many 2 digit numbers contain the number 7?

(a)

10

(b)

18

(c)

19

(d)

20

4. 7 x 2 = 14
5. In how many ways, can the teacher choose 3 students in all, one each from 10 students in VI std, 15 students in VII std and 20 students in VIII std to go to an excursion?

6. If you have 2 school bags and 3 water bottles then, in how many different ways can you carry both a school bag and a water bottle, while going to school?

7. Roll numbers are created with a letter followed by 3 digits in it, from the letters
A, B, C, D and E and any 3 digits from 0 to 9. In how many possible ways can the roll numbers be generated?

8. A fast food restaurant has a meal special Rs.50 for a drink, sandwich, side item and dessert. The choices are Sandwich : Grilled chicken, AU beef patty, Vegeburger and Fill filet.
Side: Regular fries, cheese fries, potato fries
Dessert: Chocolate chip cookie or Apple pie.
Drink: Fanta, Dr. Pepper, Coke, Diet coke and sprite.
How may meal combos are possible?

9. A company puts a code on each different product they sell. The code is made up of 3 numbers and 2 letters. How many different codes are possible?

10. Rani take a survey with five 'yes' or 'No' answers. How many different ways could she complete the survey?

11. There are 2 vegetarian entry options and 5 meat entry options on a dinner menu. What number of ways one can opt a dinner for anyone of it?

12. 6 x 3 = 18
13. How many possible outcomes are there in tossing a coin

14. What are the possible outcomes if a fair die is rolled?

15. In how many ways, can the students answer 3 questions which are true or false type in a slip test?

16. In class VIII, a math club has four members M, A, T, and H. Find the number of different ways, the club can elect

17. Madhan wants to a buy a new car. The following choices are available for him.
1) There are 2 types of cars as shown in the Fig. 5.12
2) There are 5 colours available in each type as shown in Fig. 5.12.
3) There are 3 models available in each colour
(i) GL (standard model)
(ii) SS (sports model)
(iii) SL (luxury model)

(i) In how many different ways can Madhan buy any one of the new cars?
(ii) If the white colour is not available in Type 2, then in how many ways can Madan buy a new car among the given options?

18. Colour the graph with minimum number of colours and no two adjacent vertices should have the same colour.

19. 3 x 5 = 15
20. There are 3 blue tiles  3 green tiles   and 3 red tiles  Put them together to form a square so that no two tiles of the same colour are adjacent to each other.

21. Colour a map of South India (Fig. 5.18) with the fewest number of colours.

22. Use graph colouring to determine the minimum number of colours that can be used. The adjacent states should not have the same colour.
Use the graph given below such that,
(i) each state is assigned a coloured vertex.
(ii) edges are used to connect the vertices of States.