we have two numbers a and p‚ where p is a prime number and not a factor of a‚ then amultiplied by itself p-1 times and then divided by p‚ will always leave a remainder of 1. In mathematical terms‚ this is written: ap-1 = 1. For example‚ if a = 7 and p = 3‚ then 72 ÷ 3 should leave a remainder of 1‚ and 49 ÷ 3 does in fact leave a remainder of 1. Fermat identified a subset of numbers‚ now known as Fermat numbers‚ which are of the form of one less than 2 to the power of a power of 2‚ or‚ written mathematically
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sum of three consecutive even numbers is 36.s The middle one is? A.12 B.18 C.14 D.1 Answer:A 242. Find the divisior if dividend = 27541‚ quotient = 233 and remainder = 47? A.238 B.126 C.194 D.1 Answer:D 243. A number when divided by 627 leaves a remainder 43. By dividing the same number by 19‚ the remainder will be? A. 32 B.43 C.13 D.5 Answer: D 244. The greatest 5 digit number that is exactly divisible by 100 is? A. 99899 B. 99800 C. 99900
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6/28/2012 Number Systems Chapt. 2 Common Number Systems System Base Symbols b l Used by humans? Used in computers? Decimal 10 0‚ 1‚ … 9 Yes No Binary 2 0‚ 1 No Yes Octal 8 0‚ 1‚ … 7 No No Hexadecimal 16 0‚ 1‚ … 9‚ ‚ ‚ ‚ A‚ B‚ … F No No 1 6/28/2012 Quantities/Counting (1 of 3) Decimal 0 1 2 3 4 5 6 7 Binary 0 1 10 11 100 101 110 111 HexaOctal decimal 0 0 1 1 2 2 3 3 4 4
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What is the place value of 6 in 874‚695‚457? 735‚480 = 7 x 10 5 + 3 x 10 4 + N + 480. What is N? Which number has 2 and 9 as factors? 6282‚ 7262‚ 6380. What is the remainder when 34‚785 is divided by 37? How many prime numbers are there between 80 and 100? Round 478‚512 to the nearest ten thousand. Round each number to the nearest thousand and estimate the sumof 7 501 + 8 398 + 6 521 In 345‚846‚ how many times as great is the underlined 4 than the4 that is not underlined? What is the
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revolutionized travel by providing a fast‚ reliable‚ safe‚ and comfortable means of transport. The network consists of six lines with a total length of 189.63 kilometres (117.83 mi) with 142 stations‚ of which 35 are underground‚ five are at-grade‚ and the remainder are elevated. All stations have escalators‚ elevators‚ and tactile tiles to guide the visually impaired from station entrances to trains. It has a combination of elevated‚ at-grade‚ and underground lines‚ and uses both broad gauge and standard gauge rolling
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Number Systems Base 2: The Binary Number System Base 8: The Octal Number System Base 16: The Hexadecimal Number System Learning Objectives • At the end of the lesson the student should be able to: – Identify the different number base system – Convert base ten numbers to base two‚ eight or sixteen – Convert base two‚ eight or sixteen numbers to base ten – Perform basic operations on various base numbers Number Base • What is a number base? A number base is a specific collection
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The Birch and Swinnerton-Dyer Conjecture by A. Wiles A polynomial relation f (x‚ y) = 0 in two variables defines a curve C0 . If the coefficients of the polynomial are rational numbers then one can ask for solutions of the equation f (x‚ y) = 0 with x‚ y ∈ Q‚ in other words for rational points on the curve. The set of all such points is denoted C0 (Q). If we consider a non-singular projective model C of the curve then topologically C is classified by its genus‚ and we call this the genus of
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1] Which of the following is irrational: [Marks:1] A. B. C. D. 2] Find the value of p such that (x -1) is the factor of the polynomial x3+10x2+ px . [Marks:1] A. p = 7 B. p = -7 C. p = 11 D. p = -11 3] Find remainder when is divided by [Marks:1] A. -1 B. 1 C. 2 D. Zero 4] What are the two factors of quadratic polynomial ? [Marks:1] A. (x+8) and (x-8) B. (x+16) and (x-4) C. (x-16) and (x-64) D. (x-8) and (x-8) 5] Given lines l1
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1. 16 2. 5 5 2. 25 3. 28 4. 30 × 53 ÷ 5 −3/ 2 = 5 a+ 2 then the value of a is equal to 1. 4 3. 2. 5 3. 6 4. 8 An electric contractor purchases a certain amount of wire. 10% of which is stolen. After using 85% of the remainder‚ he had 54 m of the wire left. How much wire did he purchase? 1. 300 m 2. 350 m 3. 375 m 4. 400 m 4. ׂ y and z are three sums of money such that y is the simple interest on ×. z is the simple interest on y for the same time and the same rate
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ISSUED BY KENDRIYA VIDYALAYA - DOWNLOADED FROM WWW.STUDIESTODAY.COM Chapter - 2 (Polynomials) Key Concepts Constants : A symbol having a fixed numerical value is called a constant. Example : 7‚ 3‚ -2‚ 3/7‚ etc. are all constants. Variables : A symbol which may be assigned different numerical values is known as variable. Example : C - circumference of circle r - radius of circle Where 2 & are constants. while C and r are variable Algebraic expressions : A combination of constants and variables
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