Real Numbers Skip to main content

Profit, Loss & Discount

Post a Comment

Real Numbers

Real Numbers



Real numbers image


Question 1
Find the rational number between root 2 and root 3?

Question 2
 Tow positive integers a and b can be written as a = x^3y^2 and b= xy^3. x, y are prime numbers, then LCM (a, b).

Question 3
Find the HCF of 1260 and 7344 using Euclid's algorithm.

Question 4
Show that every positive integer is of the form 4q+1 or9 4q+3 where q is some integer.

Question 5
Prove that root 2 is an irrational number.

Question 6
Prove that 2+(root 3/5) is an irrational number, given that root 3 is an irrational number.

Question 7
Prove that 2+5 root 3 is an irrational number.

Question 8
What is the HCF of smallest prime number and the smallest composite number?

Question 9
Given that root 2 is irrrational, prove that (5+3 root 2) is an irrational number.

Question 10
Find HCFand LCM of 404 and 96 and verifiy that HCF*LCM = Product of the two given numbers.

Question 11
Write whether ( 2 root 45 + 3 root 20)/( 2 root 5 ) on simplification gives an irrational or a roational number.

Qustion 12
Given that root 3 is an irrational number, prove that (2+ root 3) is an irrational number.

Question 13
Using Euclid's dvision algorithm find the HCF ofthe number 867 and 255.

Question 14
Two tankers contain 850 litres and 680 litres of petrol respectively. Find the maximum capacity of a container which can measure the petrol of either tanker in exact number of times.

Question 15
Find the value of: (-1)^n + (-1)^2n + (-1)^2n+1 + (-1)^4n+2, where n is  any positive odd integer.

Question 16
Find whether the decimal expension of 13/64 is terminating or non-terminating decimal. If it teminates find the number of decimal places its decimal expension has.

Question 17
Find whether the number 3*5*13*46+23 is prime number or composite number.

Question 18
Prove that the product of any three consecutive positive integer is divisible by 6.

Question 19
Apply Euclid's division algorithm to find the HCF of (4052 and 420)

Question 20
Prove that root 3 + root 5 is an irrational number.

Question 21
Three bells ring at an interval of 12 minutes, 15 minutes, and  18 minutes respectivily. If they start ringing togather, after what time will they ring togather.

Question 22
If the HCFof  144 and 180 is expressed in the form of 3m - 3, find the value of m.

Question 23
Determine the value of p and q so that the prime factorisation of  2520 is expressible as 2^3 * 3^p * q * 7.

Question 24
Show that 2 root 2 is an irrational number.

Question 25
Show that any positive integer is in the form of 4m + 1, or 4m + 3 where m is some integer.

Question 26
Show that raciprocal of 3 + 2 root 2 is an irrational number.

Labels:

Comments

Post a Comment

Popular posts from this blog

Diterminers Exercises

  Diterminers   Exercise 1 ' What I say',  said Trevor . (a)  _____________   old man you saw today in the studio was Baron Hausberg. He is (b)  ___________________ great friend of mine, buys all the pictures and  (c)  ______________  sort of things, and, gave me (d)  ___________  commission a month ago to paint him as (e)   ______________ Begger. "Baron Hausberg!" cried Hughie. 'Good heavens! I gave him a sovereign!' and he sank into (f)  ___________arm chair looking a picture of disamy. Options (a) 1. A         2. An         3. The        4. One (b) 1. a         2. an          3. the         4. some (c) 1. one    2. the          3. that        4. any (d) 1. a         2. an    ...
Post a Comment
Read more

Coordinate Geometry

 Coordinate Geometry QUESTION 1 Find the coordinate of the point A , where AB is diameter of a circle whose center is (2, -3) and B is the point (1,4). QUESTION 2 Find the coordinate of a point A, where AB is diameter of the circle (-2, 2) and B is point with  coordinate (3, 4). QUESTION 3 Find the ratio in which the segment joining the points (1, -3) and (4, 5) is divided by x-axis? Also find the coordinate of this point on x-axis. QUESTION 4 Write coordinates of a point P on x-axis which is equidistant from the point A (-2, 0) and B(6, 0). QUESTION 5 Find the point on y-axis which is equidistant from the point  (5,  -8) and (-3, 2). QUESTION 6 The line segment joining the point  A(2, 1) and (5, -8) is triscted at the point P and Q sch that P is nearer to A. If P also lies on the line given 2x -y + = 0, find the value of k. QUESTION 7 Find the distance of a point P (x, y) from the origin. QUESTION 8 Find the ratio in which P(4, m) divide...
Post a Comment
Read more

Probability

  PROBABILITY   Question 1 A game consitsts of tos noting the outcomes each time. If getting the same results in the tosses is a success. Find the probabilty of game. Question 2 A die is throwen once, find the probability of getting the number which     A. is a prime number      B. lies between 2 and 6. Question 3 The probability of selecting a blue marble at random from a jar that contains only blue, black and green marbles is 1/5. The probability of selecting a black marble at random from the same jar is 1/4. If the jar contains 11 green marbles.. find the total number of marbles in the jar. Question 4 A die is throwen once find the probability of getting a composite number. Question 5 Two different dice are throwen togather find the probability:      A. getting a doublet      B. of getting a sum of 10, of the numbers on the two dice. Question 6 An integer is chosen at ...
Post a Comment
Read more