#1
22nd November 2015, 08:32 AM
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GRE Number System
Can you provide me the Number System: Concepts and Sample Questions for preparation of Graduate Record Examination (GRE) Exam as I want to score good marks in the exam?
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#2
22nd November 2015, 08:33 AM
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Re: GRE Number System
The Number System: Concepts and Sample Questions for preparation of Graduate Record Examination (GRE) Exam as you want to score good marks in the exam are as follows: Sample Questions: 1. A= 165*125*866 B= 342*154*788 Quantity A Quantity B unit digit of number A unit digit of number B Ans.B 2. M is a positive odd integer. Quantity A Quantity B Number of positive (N-1)/2 less than N Ans. C 3. M is a positive integer Quantity A Quantity B Remainder when (N^2-N) 0 is divided by 2. Ans. C 4. If a, b, c are three positive integers greater than 1 such that abc = 231, what is the value of x+y+z? A.9 B.15 C.21 D. 24 E.Cannot determine Ans. C 5. How many divisors of 72 have 4 in units digit? A.0 B.1 C.2 D.5 E.4 Ans. E ***Until asked for positive factors only, consider both positive and negative factors. 6. Greatest prime factor of 5^25+5^26+5^27 A.9 B.5 C.31 D.23 E.Cannot determine Ans. C 7. X is an integer which leaves a remainder 5 when divided by 12.What is the remainder when square of integer is divided by 8. A.9 B.5 C.2 D.3 E.1 Ans. E 8. How many numbers between 400 and 700, inclusive, are multiple of both 2 and 3. A.52 B.51 C.49 D.50 E.48 Ans. D 9. In the fraction 2/7, the digit in the 75th place to the right of decimal is ? Ans. 5 Points to remember: 1. 43/7 7 =>divisor 43 =>dividend 6 =>Quotient 1 =>Remainder 2. Factors 42 = 7*2*3 Here 7,2 and 3 are factors of 42. 42 is a multiple of 6. 42 is a multiple of 7. If a, b are integers(b is not 0)and a/b is an integer. => b is a factor of a. =>a is divisible by b. =>a is a multiple of b. E.g. Positive factors of 12 = 1,2,3,4,6,12. E.g. Multiples of 12 = 12,24,36,0, -12,-36....... 3. To find total number of factors. 180= 2^2 *3^2 *5 =>(2+1)*(2+1)*(1+1)=18 =>18*2= 36 ;to include negative factors 4. Always consider intensive counting unless mentioned otherwise. 5. Never forget to check negative numbers. 6. Numbers with exactly three divisors: Squares of prime numbers. E.g. => 49,121 They have exactly three factors : 1,7,49 & 1,11,121. 7. Numbers with exactly 4 divisors: product of two prime numbers. E.g.=>21 They have exactly four factors : 1,3,7,21. 8. Zero is neither positive nor negative. 9. All integers except zero are factors of zero and zero is multiple of every integer. 10. Divisibility rules for: Last digit must be divisible by 2. Sum of digits must be divisible by 3. Number formed by last two digits must be divisible by 4. Last digit must be 0 or 5. Number must be divisible by both 2 and 3. 11. In the number 456.789 4 is the Hundred's digit 5 is the Ten's digit 6 is the Unit's digit 7 is the Tenth's digit 8 is the Hundredth's digit 3444.782 rounded to nearest tenth's will be 3444.8 3444.749 rounded to nearest tenth's will be 3444.7 12. Comparison of fractions: By Cross multiplication: compare 6/11 OR 5/9 compare 6*9 OR 11*5 compare 54 OR 55 R.H.S is greater so, 5/9 > 6/11. General rules for fraction comparison. If numerator increases, and denominator remains same, then ratio increases. => 6/21 > 3/21 If denominator increases, and the numerator remains same, then ratio decreases. => 6/21 > 6/22 If a constant is multiplied to both numerator and denominator, then ratio remains same. => 2/5 = 6/30 = 12/60 |
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