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GMAT Session 1

GMAT Session 1. Arithmetic and Algebra. Session One: 4-1-09. Arithmetic and Algebra. Arithmetic and Algebra. The sum of prime nos. that are greater than 60 but less than 70 is 67 128 191 197 260. If x and y are prime numbers, which of the following CANNOT be the sum of x and y? 5 9

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GMAT Session 1

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  1. GMAT Session 1 Arithmetic and Algebra

  2. Session One: 4-1-09 Arithmetic and Algebra

  3. Arithmetic and Algebra

  4. The sum of prime nos. that are greater than 60 but less than 70 is • 67 • 128 • 191 • 197 • 260

  5. If x and y are prime numbers, which of the following CANNOT be the sum of x and y? • 5 • 9 • 13 • 16 • 23

  6. Fermat primes are prime numbers that can be written in the form of 2k + 1, where k is an integer and a power of 2. Which of the following is NOT a Fermat prime? • 3 • 5 • 17 • 31 • 257

  7. If x and y are different prime numbers greater than 2, which of the following must be true? • x + y ≠ 91 • x - y is an even integer • is NOT an integer • II only • I and II only • I and III only • II and III only • I, II, and III

  8. What is the lowest integer that is the sum of three primes each greater than 20? • 69 • 73 • 75 • 79 • 83

  9. If n = 4p, where p is a prime no. greater than 2, how many different positive even divisors does n have, including n? • 2 • 3 • 4 • 6 • 8

  10. Of the five coordinates associated with A, B, C, D, and E on the number line above, which has the greatest absolute value? • A • B • C • D • E A A

  11. Which of the following inequalities is an algebraic expression for the shaded part of the number line? • |x| < 3 • |x| < 5 • |x - 2| < 3 • |x - 1| < 4 • |x + 1| < 4

  12. If x = -3, what is the value of -3x2 • -27 • -18 • 18 • 27 • 81

  13. 870 841 58 31 30

  14. 0.001 • 0.01 • 0.09 • 0.9 • 1.0

  15. What is the smallest integer n for which 25n > 512 ? • 6 • 7 • 8 • 9 • 10

  16. Which of the following is the product of two integers whose sum is 11? • -42 • -28 • 12 • 26 • 32

  17. If the two digit integers M and N are positive and have the same digits but in reverse order, which of the following CANNOT be the sum of M and N? • 181 • 165 • 121 • 99 • 44

  18. If p is an even integer and q is an odd integer, which of the following must be an odd integer?

  19. 0.1 + (0.1)2 + (0.1)3 = • 0.1 • 0.111 • 0.1211 • 0.2341 • 0.3

  20. 2, 4, 6, 8, n, 3, 5, 7, 9 65.In the list above, if n is an integer between 1 and 10 inclusive, then the median must be a. Either 4 or 5 b. Either 5 or 6 c. Either 6 or 7 d. n e. 5.50

  21. (A) 6 to 1 (B) 5 to 1 (C) 3 to 2 (D) 2 to 3 (E) 1 to 6

  22. 52. Kelly and Chris packed several boxes with books. If Chris packed 60 percent of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number of boxes Chris packed? A) 1 to 6 B) 1 to 4 C) 2 to 5 D) 3 to 5 E) 2 to 3

  23. 73. In the Johnson’s monthly budget, the dollar amounts allocated to household expenses, food and misc. items are in the ratio of 5:2:1, respectively. If the total amount allocated is $1800, what is the amount allocated for food? • 900 • 720 • 675 • 450 • 225

  24. 5 • 50 • 105 • 510 • 810 - 310 99.On a scale that measures the intensity of a certain phenomenon, a reading of n + 1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of n. On that scale, the intensity corresponding to a reading of 8 is how many times as great as the intensity corresponding to a reading of 3?

  25. 5. A restaurant meal cost $35.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between • $40 and $42 • $39 and $41 • $38 and $40 • $37 and $39 • $36 and $37

  26. A car dealer sold x used cars and y new cars • during May. If the number of used cars sold was 10 greater than the number of new cars sold, which of the following expresses this relationship? • (A) x > t 10 y • (B) x > y – 10 • (C) x > y – 10 • (D) x = y + 10 • (E) x = y - 10

  27. 120. David has d books, which is 3 times as many as Jeff and ½ as many as Paula. How many books do the three of them have altogether, in terms of d ?

  28. 41. If x = 1 – 3t and y = 2t – 1, then for what value of t does x = y ?

  29. If y = (x – 3)2, then y is lowest when x = (A) 14 (B) 13 (C) 0 (D) 3 (E) 4

  30. 58. If x2 = 2y3 and 2y = 4, what is the value of x2 + y? (A) -14 (B) -2 (C) 3 (D) 6 (E) 18

  31. In a certain furniture store, each week Nancy earns a salary of $240 plus 5 percent of the amount of her total sales that exceeds $800 for the week. If Nancy earned a total of $450 one week, what were her total sales that week? (A) $2,200 (B) $3,450 (C) $4,200 (D) $4,250 (E) $5,000

  32. 46. How many integers n are there such that 1 < 5n + 5 < 25 ? (A) Five (B) Four (C) Three (D) Two (E) One

  33. 70. If x + 5 > 2 and x – 3 < 7, the value of x must be between which of the following pairs of numbers? (A) -3 and 10 (B) -3 and 4 (C) 2 and 7 (D) 3 and 4 (E) 3 and 10

  34. Homework for April 6 • Complete Arithmetic and Algebra problems in book • Take the GMAT Diagnostic Test (on CD) • Visit website for this week’s slides: • http://www.odu.edu/~jsteckro/

  35. Arithmetic and Algebra

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