Gmat Practice Test

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PRACTICE TEST 1 PROBLEMS 2 2 1 1 0 0 -1 -1 -2 -2 E E D D C C B B A A 1. Of the five coordinates associated with points A, B, C, D, and E on the number line above, which has the greatest absolute value? a. A b. B c. C d. D e. E 2. If the quotient a/b is positive, which of the following must be true? f. a>0 g. b>0 h. ab>0 i. a-b>0 j. a+b>0 3. John has 15 pair of matched socks. If he loses 13 individual socks, what is the greatest number of pairs of matched socks he can have left? k. 2 l. 4 m. 6 n. 8 o. 10 4. If n= 15! +13, then n is divisible by which of the following i. 11 ii. 13 iii. 15 a. None b. i only c. ii only d. i and ii e. ii and iii 5. For the positive integers a,b, and k, ak || b means that ak is a divisor of b, but ak+1 is not a divisor of b. If k is a positive integer and 2k || 72, then k is equal to p. 2 q. 3 r. 4 s. 8 t. 18 6. If p is the product of integers from 1 to 30, inclusive, what is the greatest integer k for which 3k is a factor of p? u. 10 v. 12 w. 14 x. 16 y. 18 7. If n = 38 – 28, which of the following is not a factor of n? z. 97 {. 65 |. 35 }. 13 ~. 5 8. If 3<x<100, for how many values of x is x/3 the square of a prime number? . Two . Three . Four . Five . Nine 9. If y is the smallest positive integer such that 3150 multiplied by y is the square of an integer, then y must be . 2 . 5 . 6 . 7 . 14 10. How many prime numbers between 1 and 100 are factors of 14,300? . One . Two

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