GMAT+數學算術練習題

1、If y is the smallest positive integer such that 3150 multiplied by y is the square of an integer , then y must be256714If x is the product of the positive integer from 1 to 8,inclusive, and if, i , k, m, and p are positive integers such that x=2i3k5m7p , then i+k+m+p=4781112How many factor does 360

2、have?243648120360The greatest common divisor of a and b is 21 and the least common multiple of a and b is 126, where a and b are positive integers, what is the sum of a and b?105147150105 or 147105 or 150If M is the least common multiple of 90, 196, and 300, which of the following is NOT a factor of

3、 M?60070090021004900Three sorts of juices are served at a party. Every 2 guests share a bottle of apple juice, every 3 guests share a bottle of lemon juice, and every 4 guests share a bottle of orange juice. If 65 bottles of juices are drunk off finally, how many guests are at this party?1224364860I

4、f n is a positive integer what is the remainder when 38n+3+2 is divided by 5?01234If n is an integer greater than 6, which of the following must be divisible by 3?n(n+1)(n-4)n(n+2)(n-1)n(n+3)(n-5)n(n+4)(n-2)n(n+5)(n-6)The product of two consecutive positive integers cannot bea prime numberdivisible

5、by 11a multiple of 13an even number less than 10a number having 4 as its units digitWhich of the following fractions has a decimal equivalent that is a terminating decimal?10/18915/19616/22525/14439/128Of the following which best approximates (0.1667)(0.8333)(0.3333)/(0.2222)(0.6667)(0.1250)?2.002.4

6、02.432.503.43If 1050 -74 is written as an integer in base decimal notation, what is the sum of the digits in that integer?424433440449467Among registered voters in a certain district, the ratio of men to women is 3:5. Of the district currently includes 24000 registered voters, how many additional me

7、n must register to make the ratio 4:5?20003000400050006000A certain fraction is equivalent to 2/5. If the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1/3. What is the sum of the numerator and denominator of the original fraction?21262

8、83549A merchant purchased a jacket for $60 and then determined a selling price that equaled the purchase price of the jacket plus a markup that was 25 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket what was the merchants gross

9、 profit on this sale?$0$3$12$4$15In a certain formula, p is directly proportional to s and inversely proportional to r. If p =1 when r=0.5 and s=2 what is the value of p in terms of r and s?s/rr/4ss/4rr/s4r/s 823324/962 =?3691218Of the following values of n, the value of (-1/5)-n will be greatest fo

10、r n?-3-2023If the sum of two positive integers is 24 and the difference of their squares is 48, what is the product of the two integers?108119128135143If x 0.9 which of the following could be the value of x?a. 0.81b. 0.9c. (0.9) 2d. (0.9)(0.99)e. 1-0.0121. Which of the following inequalities has a s

11、olution set that, when graphed in the number line, is a single line segment of finite length?x4 16x3 27x2 162|X|523x+46If the sum of 7 consecutive integers is 434, then the greatest of 7 integers is 6265676971In the sequence 1,2,4,8,16,32, each term after the first is twice the previous term. What i

12、s the sum of the 16th 17th and 18th terms in the sequence2183(217)7(216)3(216)7(215)In a certain sequence, the first term is 1 and each successive term is 1 more than reciprocal of the term that immediately precedes it. What is the fifth term of the sequence?3/55/88/55/39/2In the figure above , squa

13、re CDEF has area 4. What is the area of ABF？22 234336If each side of ACD above has length 3 and if AB has length 1 ,what is the area of region BCDE?9/473/493/473/26+3In the rectangle above, AB=6,AD=8. If point P is selected from segment BC at random, what is the probability that the length of segmen

14、t AP is less than 35?3/819/83/53/435/8A ladder 25 feet long is leaning against a wall that is perpendicular to level ground. The bottom of the ladder is 7 feet from the base of the wall. If the top of the ladder slips down 4feet, how many feet will the bottom of the ladder slip?458915In the circle a

15、bove, PQ is parallel to diameter OR, and OR has length 18. What is the length of minor arc PQ?29/47/29/23In the figure above, A is the point of tangency for two circles and also the center of the third circle. If the radii of the three circles are 1 what is the external perimeter of the figure?7/310

16、/3414/36The inside dimensions of a rectangular wooden box are 6 inches 8 inches by 10 inches. A cylindrical canister is to be placed inside the box so that it stands upright when the closed box rests on one of its sic faces. Of all such canisters that could be used, what is the radius in inches of t

17、he one that has maximum volume?34568In the rectangular coordinate system above, the line y=x is perpendicular bisector of segment AB (not show), and the x-axis is the perpendicular bisector of segment BC (not show). If the coordinated of point A are (2,3), what are the coordinates of point c?(-3,-2)(-3, 2)(2, -3)(3, -2)(2 , 3)In the rectangular coordinate system above both of two tangent circles are tangent to the x-axis. If the radii of the two circles are 4 and 6, respectively, what is the slope of the line on which two centers lie?1/261/321/31/51/2An isosce