PS Number Property

For how many positive integers x is 130/x an integer? a) 8 b) 7 c) 6 d) 5 e) 3 If both the products and sum of four integers are even, which of the following could be the number of even integers in the group? I. 0 II. 2 III. 4 a) I only b) II only c) III only d) II and III e) I, II, III

0.0025)(0.025)(0.00025)*10^k is an integer, what is the least possible value of k? OA 12

Oak trees line both sides of a street for a lenght of 3/8 of a kilometer. If there is 16 meters of space between the trees, and each tree is 1 meter wide, how many trees are there along the street? (1 kilometer = 1000 meters) 36 40 42 44 46

If b < 2 and 2x - 3b = 0, which of the following must be true? a) x > -3 b) x < 2 c) x = 3 d) x < 3 e) x > 3 My 1st If the sum of a set of ten different positive prime numbers is an even number, which of the following prime numbers CANNOT be in the set ?

A) 2, (B) 3, (C) 5, (D) 7, (E) 11

. The sum of the even numbers between 1 and n is 79*80, where n is an odd number, then n=? Sum of 1st n odd nos = n^2 Sum of 1st n even nos = n(n+1) Given n is odd here. There are (n-1)/2 even integers here Sum of 1st (n-1)/2 even integers = (n-1)/2 * ((n-1)/2 +1 ) =79*80 DO NOT Multiply yet. Simplify (n-1)(n+1) = 79*80*4 = 158 * 160 n =159

At a certain bowling alley, it costs $0.50 to rent bowling shoes for the day and $1.25 to bowl 1 game. If a person has $12.80 and must rent shoes, what is the greatest number of complete games that person can bowl in one day? (A) 7 (B) 8 (C) 9 (D) 10 (E) 11 Forty percent of the rats included in an experiment were male rats. If some of the rats died during the experiment and 30 percent of the rats that died were male rats, what was the ratio of the death rate among the male rats to the death rate among the female rats? One-fifth of the light switches produced by a cer­tain factory are defective. Fourfifths of the defective switches are rejected and one twentith of the nondefective switches are rejected by mistake. If all the switches not rejected are sold, what percent of the switches sold by the factory are defective? (A) 4% (B) 5% (C) 6.25% (D) 11% (E) 16% total defective = 20 of which 16 are rejected and 4 are sold total sold = 80 = 76+4 Total defective which are sold = 4/80 = 1/20=5%

So. ans is B.

There are 150 students at Seward High School. 66 students play baseball, 45 play basketball, and 42 play soccer. 27 students play exactly two sports, and three students play all three of the sports. How many of the 150 students play none of the three sports? A) 0 B) 27 C) 30 D) 99 E) 78 OA 30 If the number 51,1n9, where n represents the tens digit, is a multiple of 3, then the value of n could be which of the following a.6 b.5 c.3 d.1 If k = -1, which of the following is (are) true? I. k^k = k II. |k| = -k III. k^0 = -k If X,Y and Z are positive integers such that 0