Chapter 1 Real Numbers

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Chapter 1 Real Numbers

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Description : In the following figure ABCD is a cyclic quadrilateral, the sum of degree measures of ∠A and ∠D is: (SOURCE: Fig. 3.7, Exercise 3.7, Chapter 3, PAIR of LINEAR EQUATIONS in TWO VARIABLES, NCERT, Class X) (a) 120° (b) 180° (c) 230°(d) 250°

Last Answer : (c) 230°

Description : Chapter 15 Probability

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Description : Chapter 14 Statistics

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Description : Chapter 13 Surface Areas and Volumes

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Description : Chapter 12 Areas Related to Circles

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Description : Chapter 11 Constructions

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Description : Chapter 10 Circles

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Description : Chapter 9 Some Applications of Trigonometry

Last Answer : Chapter 9 Some Applications of Trigonometry

Description : Chapter 8 Introduction to Trigonometry

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Description : Chapter 7 Coordinate Geometry

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Description : Chapter 6 Triangles

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Description : Chapter 5 Arithmetic Progressions

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Description : Chapter 4 Quadratic Equations

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Description : Chapter 3 Pair of Linear Equations in Two Variables

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Description : Chapter 2 Polynomials

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Description : If somebody choose two digit and three digit numbers and their difference is 989.What will be their sum? a) 1000 b)1010 c) 1006?

Last Answer : None of the above. Let x be the three digit number and y be the two digit number. x - y =989. x = 989 + y. x is obviously greater than 989 and less than 1000 (since it is three digits). Since y is a two digit number ... 989 + 10 = 999. We can't go any higher, so x =999 and y=10. x+y = 999+10 = 1009

Description : To the nearest 10%, what percentage of all numbers contain a 9?

Last Answer : You probably need to clarify that you mean what percentage of the set of all integers contains the digit 9'? Because there are an infinite number of numbers that don't contain that digit (and ... is also an infinite set of digits that does not. Maybe you need to restrict your range some more.

Description : Is the previous result of lotteries useful for predicting the numbers of a lottery ticket?

Last Answer : No. Every time is random.

Description : If 4! = 1x2x3x4 and is called 4 factorial, what is the sum of the numbers e.g. 4(?)= (1+2+3+4) called?

Last Answer : What’s wrong with the summation notation? It does just that. I don’t think there’s any other way of expressing it other than writing it out. [addition]: After more research, I found a formula where 1+2+3+4….+n= n*(n+1)/2 http://en.wikipedia.org/wiki/Triangular_number

Description : What's the longest known sequence of non-prime numbers?

Last Answer : My guess would be that such sequences grow in length with as number size gets larger. Prime numbers become increasing scarce as numbers get larger, making it more likely to find long sequences of primes.

Description : Brain Teaser - Indivisibility properties of sequence of numbers?

Last Answer : Mmmm homework =)

Description : Brain Teaser - Working with numbers that don't divide into one another?

Last Answer : 1) Write all of those numbers in the form: 2^k * m where m is an odd integer and k is a non-negative integer. Obviously m < 50. Since we have 25 odd numbers less than 50 if we pick 26 numbers between 1 and ... and hence n is at least 3 m. Hence k is larger than l. For (3) I should think a bit more.

Description : If m and n are two odd prime numbers such that m (a) an even number (b) an odd number (c) an odd prime number (d) a prime number

Last Answer : (a) an even number

Description : H.C.F of two prime numbers is (a) 1 (b) 0 (c) 3 (d) 2

Last Answer : (a) 1

Description : The sum or difference of of two irrational numbers is always (a) rational (b) irrational (c) rational or irrational (d) not determined

Last Answer : (b) irrational

Description : The least number that is divisible by all the numbers from 1 to 5 is: (a) 70 (b) 60 (c) 80 (d) 90

Last Answer : (b) 60

Description : The sum of two irrational numbers is always (a) irrational (b) rational (c) rational or irrational (d) one

Last Answer : (a) irrational

Description : The product of two different irrational numbers is always (a) rational (b) irrational (c) both of above (d) none of above

Last Answer : (b) irrational

Description : Now it was Ravi‘s turn. He rolled the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is greater than 8? a. 1 b. 5/36 c. 1/18 d. 5/18

Last Answer : d. 5/18

Description : Rahul got next chance. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is equal to 7? a. 5/9 b. 5/36 c. 1/6 d. 0

Last Answer : c. 1/6

Description : Now it was Ravi‘s turn. He rolled the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is less than or equal to 12? a. 1 b. 5/36 c. 1/18 d. 0

Last Answer : a. 1

Description : Rahul got next chance. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is 13? a. 1 b. 5/36 c. 1/18 d. 0

Last Answer : d. 0

Description : If a number x is chosen at random from the numbers -2, -1, 0 1, 2. What is the probability that x 2 < 2? a. 2/5 b. 3/5 c. 1/4 d. 4/7

Last Answer : b. 3/5

Description : Two dice are thrown together. Find the probability that the sum of the numbers obtained is even a. 1/4 b. 1/6 c. 1/3 d. 1/2

Last Answer : d. 1/2

Description : A number is selected at random from first 50 natural numbers. Find the probability that it is a multiple of 3 and 4. a. 3/25 b. 2/25 c. 1/25 d. 13/50

Last Answer : b. 2/25

Description : How are the British names for large numbers different from the American names?

Last Answer : 1,000,000,000 = billion in America, thousand million in England. 1,000,000,000,000 = trillion in America, billion in England. 1,000,000,000,000,000 = quadrillion in America, thousand billion in England. 1,000,000,000,000,000,000 = quintillion in America, trillion in England.

Description : In real life we have situations such as: Rock > Scissors, Scissors > paper and Paper > Rock. Is there a type of math to deal with this?

Last Answer : answer:In Modular Arithmetic the numbers wrap around. That might be a good place to start to define the rules mathematically. As a kid we played rock, paper, scissors, bomb,. Symbol for bomb was fist with ... Bomb destroys rock, etc. .... Mod 4 Rock, paper,scissors, lizard, Spock would be Mod 5

Description : What value/s can x take in the expression k(x – 10) (x + 10) = 0 where k is any real number. (a) 100, -100 (b) Infinitely many (c) Depends on value of k (d) 10, -10

Last Answer : (d) 10, -10

Description : The value(s) of 'k' for which the following pair of linear equations will represent a pair of intersecting lines graphically is/are: 3x - 4y + 7 = 0 kx - 8y = 5 (a) k = 6 (b) k ≠ 6(c) any real number (d) any real number except 6

Last Answer : (d) any real number except 6

Description : Is it possible to solve a magic square made up of a system of unknown symbols?

Last Answer : No. I could populate a 9×9 magic square with the letters A through I. You would never figure out what numbers were represented by the letters because a 9×9 magic square is not unique.

Description : Did we invent math,or did we discover it?

Last Answer : God invented it.

Description : How many of you can pass this simple test?

Last Answer : I can.

Description : How can two infinite sets not have one to one correspondence with each other?

Last Answer : You've missed what an infinite set means. Consider this definition: Infinite sets are the sets containing an uncountable or infinite number of elements. Infinite sets are also called uncountable sets. That is ... . Or for the set of all positive integers and the set of all negative integers .

Description : Using the rays in the diagram, how many different acute angles can be formed?

Last Answer : We don’t do your homework, but this is a simple combinatorics problem. Any pair of those rays will form an acute angle. How many pairs are there?

Description : Can someone help me with my math assignment?

Last Answer : We don't do people's homework here, but we can help in other ways. For instance, some of us can suggest an approach. One would hope, though, that your instructor has already prepared you to ... you take your shot at answering the question, and then post your answer and ask if others will comment?

Description : What’s 0.222222222... as a simplified fraction?

Last Answer : 2/9

Description : What do you think of this YouTube video on why you can't divide by zero?

Last Answer : Also are the symbols for Eternity and infinity the same? ∞

Description : Have you ever forgotten something that you didn't think you ever COULD forget?

Last Answer : I still forget my neighbours name. I have known her for 3 years. I forgotten the quadric equation. I remember some math mnemonics but had to look up SOHCAHTOA and roy'g'biv to answer this question. I ... simple things every now and again , and have to look them up online , Fluther , or call family.

Description : How many miles will a person run during a 10 kilometer race?

Last Answer : What kind of mile? There are many.

Description : A magazine company conducted a phone survey asking subscribers to identify the brand of outdoor camping equipment they like best. Every subscriber was surveyed, and the results were printed in an article titled “Most Popular Equipment among All Campers.” Why is the title of the article misleading?

Last Answer : For view, of course. Edit: ok, now I confused. Are you asking what makes the title misleading, or why the magazine makes the misleading title?