GRADUATE RECORD EXAMINATIONS® Practice General Test #1 Section 3: Quantitative Reasoning Section 4: Quantitative Reasoning Copyright © 2010 by Educational Testing Service. All rights reserved. ETS‚ the E T S logo‚ GRADUATE RECORD EXAMINATIONS‚ and GRE are registered trademarks of Educational Testing Service (E T S) in the United States and other countries. Revised Graduate Record Examinations® General Test Practice Test Number 1 Instructions for the Verbal Reasoning
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LOG INVESTIGATION 1. INTRODUCTION The following assessment aims to investigate logarithms and several different expressions. The following sequences (from now on referred to as P roblem1 ) is in the form of an = logmn mk ‚ where n represents the term number and an represents the given answer. 1. a1 = log2 8‚ a2 = log4 8‚ a3 = log8 8‚ a4 = log16 8‚ a5 = log32 8‚ ... 2. a1 = log3 81‚ a2 = log9 81‚ a3 = log27 81‚ a4 = log81 81‚ ... 3. a1 = log5 25‚ a2 = log25 25‚ a3 = log125 25‚ a4 = log625
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marks each. You have to attempt only one of the alternatives in all such questions. (v) Use of calculators is not permitted. SECTION – A (Question numbers 1 to 10 are of one mark each.) 1. Euclid’s Division Lemma states that for any two positive integers a and b‚ there exist unique integres q and r such that a = bq + r‚ where r must satisfy : (a) 1 < r < b (b) 0 < r < b (c) 0 < r < b (d) 0 < r < b Sol. (c) 0 < r < b 2. In the figure‚ the graph of a polynomial p(x) is shown. The number of zeroes of
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will be your response? Chapter 5 Evaluation 5-1B 15. Prove that ?x ?y= ?y-x‚ for all integers x and y. 18. Find all integers x‚ if there exist any‚ such that the following are true: Evaluation 5-2 B 12. Prove that the distributive property of multiplication over addition‚ a (b+c) =ab+ac are true for all of the given values of a‚ b‚ and c: 13. Calculate the following: 17. Find the property of integers being illustrated in each of the following: Evaluation 5-3B 3. Without utilizing a calculator
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Executive Summary Overview Agrifarm Company is in the business of buying and selling grain. The company wants to increase profitability by ensuring that shipping costs are kept low. All is shipments come from 3 rail cars origins. In addition‚ all shipments must be routed through either of two grain processing centers before sending them to the final customer. The object is to minimize the total shipping cost‚ therefore selecting the proper shipping route for each carload. Problem There is a
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(4 marks) (4 marks) 3. Write FB116 in the expanded form and convert it to a decimal number. 4. && Express 0.8964 in the form a where a and b are positive integers. b (4 marks) 5. Peter deposits $P in a bank at a rate of 2% p.a. compounded monthly. 2 years is $208964‚ find‚ correct to the nearest integer‚ the value of P. If the expected amount after (4 marks) 6. (a) (b) Expand ( x + 5)( x − 3) . Solve the inequality ( x + 5)( x − 3) ≤ x 2 − 2 x + 5 and represent
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Aron Persaud Absolute Value -How far a number is from zero. Example "-6" is 6 away from zero‚ but "-6" is also 6 away from zero. So‚ the absolute value of 6 is 6‚ and the absolute value of -6 is also 6. The symbol "|" is placed either side to mean "Absolute Value"‚ so we can write: |-6| = 6 Associative property- mathematical expression means that the order of the operations can be changed or regrouped so long as the operands (numbers or terms) are not changed. Example addition: (6 + 3) + 4
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are called whole numbers. • Integers (whole numbers including those with a negative sign) – The set of integers extends the set of whole numbers to include negative numbers {…‚ -3‚ -2‚ -1‚ 0‚ 1‚ 2‚ 3‚ …} – The integers give us answers to questions like: ‘What can I add to 5 to get 3?’ • Rational Numbers (integers AND fractions AND decimals) – Numbers that can be written as fractions or a repeating or terminating decimal. • Irrational Numbers (don’t include integers OR fractions) – Cannot be written
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(Division of Aakash Educational Services Ltd.) Regd. Office : Aakash Tower‚ Plot No.-4‚ Sec-11‚ MLU‚ Dwarka‚ New Delhi-110075 Ph.: 011-47623456 Fax : 011-47623472 Admission-cum-Scholarship Test (Sample Paper) (First Step for IIT-JEE 2012-2014) (Syllabus of the Test : Mathematics of Class IX & X) Roll No.: __________________ Test Booklet Code: Time : 1½ Hrs. A Max.Marks : 150 INSTRUCTIONS TO THE CANDIDATES 1. The initial 10 minutes are earmarked for the candidates to carefully
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College Algebra Second Semester‚ AY 2012-2013 Neil Jerome A. Egarguin Instructor 3 in Mathematics‚ IMSP‚ CAS‚ UPLB MATH 11 V College Algebra COURSE POLICIES AND SCHEDULES A. Course Description. Sets‚ real number system‚ radicals and rational exponents‚ linear equations and inequalities‚ systems of equations‚ functions B. Course Credit. 3 units C. Course Goals. The course intends to supplement your knowledge and skills of Algebra that you will need in other mathematics courses and
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