University Karnataka Department of Pre University Education Course & Year I PUC Subject Maths Download Model Question Paper Syllabus Reduced  Syllabus 2020-21 Document Type PDF Official Website https://pue.karnataka.gov.in/english

PUE PUC I Maths Model Question Paper

Karnataka Department of Pre University Education (PUE) First Year PUC Maths Model Question Paper 2020-21 for reduced syllabus.

PUE PUC I Maths Model Questions

Part-A:
I. Answer all the following questions:
1. Find the geometric mean of the numbers 2 and 8.
2. Find the multiplicative inverse of the complex number
3. Find the slope of the line passing through the points (3, -2) and (7, -2)
4. Define sample space of a random experiment.
5. The arithmetic mean of 4 and another number is 10. Find the other number.
6. Find the distance of the point (3, -5) from the line 3x-4y-26=0

Part-B:
1. A wheel makes 360 revolutions in one minute. Through how many radians it turns in one second
2. In how many ways can the letters of the word PERMUTATIONS be arranged if the vowels are all together.
3. The mean of the six observations 5,15,25,35,45,55 is 30, find its variance.
4. A coin is tossed twice, what is the probability that atleast one tail occurs?
5. How many 4-digit numbers are there with no digit repeated?
6. Find the median of the the data 36,72,46,42,60,45,53,46,51,49.
7. A card is selected from a pack of 52 parts calculate the probability that the card is i) an Ace ii) a Black card
8. Write the power set of the set A ={1,2,3}.

Part-C:
1. In a class of 35 students, 24 likes to play cricket and 16 likes to play football, also each student likes to play at least one of the games. How many students like to play both cricket and football?
2. Find all pairs of consecutive even positive integers, both of which are larger than 5 such that their sum is less than 23.
3. Find the mean deviation about median for the following data: 3,9,5,3,12,10,18,4,7,19,21.
4. A fair coin with 1 marked on one face and 6 on the other and a fair die are both tossed. Find the probability that the sum of numbers that turn up is ( i ) 3 ( ii ) 12.
5. In a survey of 400 students in a school, 100 were listed as taking apple juice, 150 as taking orange Juice and 75 were listed as taking both apple and orange juices. Find how many students were taking neither apple juice nor orange juice.
6. Ravi obtained 70 and 75 marks in first two unit tests. Find the minimum marks he should get in the third test to have an average of at least 60 marks.
7. . Insert 3 arithmetic means between 8 and 24.
8. The mean and standard deviation of 20 observations are found to be 10 and 2 respectively. On rechecking it was found that an observation 8 was incorrect. Calculate the correct mean if wrong item is omitted.
9. A bag contains 9 discs of which 4 are red 3 are blue and 2 are yellow. The discs are similar in shape and size. The disc is drawn at random from the bag. Calculate the probability that will be (i)red (ii) no blue (iii) either red or blue.

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