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Category: Math Center
MC1: Geometry
MC2: Algebra
MC3: Number Properties
MC4: Decimals, Fraction, Percentage
MC5: Statistics and D.I.
MC6: Counting and Probability
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[Math Center] 1. Consider an experiment with events [latex]A, B[latex], and [latex]C[latex] for which [latex]P(A)=0.23,P (B)=0.40, P(C)=0.85[latex], and Suppose that events [latex]A[latex] and [latex]B[latex] are mutually exclusive and events [latex]B[latex] and [latex]C[latex] are independent. What are the probabilities [latex]P(AorB)[latex] and [latex]P(BorC)[latex]? 2. In a box of [latex]10[latex] electrical parts, [latex]2[latex] are defective. (a) […]
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[Math Center] 1. In how many different ways can the letters in the word STUDY be ordered? 2. Martha invited [latex]4[latex] friends to go with her to the movies. There are [latex]120[latex] different ways in which they can sit together in a row of [latex]5[latex]Â seats, one person per seat. In how many […]
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[Math Center] 1. Each employee of a certain company is in either Department [latex]X[latex] or Department [latex]Y[latex], and there are more than twice as many employees in Department [latex]X[latex] as in Department [latex]Y[latex]. The average (arithmetic mean) salary is $[latex]25,000[latex] for the employees in Department [latex]X[latex] and $[latex]35,000[latex] for the employees in Department [latex]Y[latex]. Which […]
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[Math Center] 1. Among the [latex]9,000[latex] people attending a football game at College [latex]C[latex], there were [latex]x[latex] students from College [latex]C[latex] and [latex]y[latex] students who were not from College [latex]C[latex]. Quantity A Quantity B The number of people attending the game who were not students [latex]9000-x-y[latex] 2. In a survey of [latex]250[latex] European […]
ã5.2.bãPercentile Related Practice
[Math Center] 1. The random variable [latex]X[latex] is normally distributed. The values [latex]650[latex] and [latex]850[latex] are at the [latex]60[latex]th and [latex]90[latex]th percentiles of the distribution of [latex]X[latex], respectively. Quantity A Quantity B The value at the [latex]75[latex]th percentile of the distribution of [latex]X[latex] [latex]750[latex] 2. Eight hundred insects were weighed, and the resulting measurements, […]
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[Math Center] Questions 1 to 3 are based on the following data. 1. If the dollar amount of sales at Store [latex]P[latex] was $[latex]800,000[latex] for [latex]2006[latex], what was the dollar amount of sales at that store for [latex]2008[latex] ? (A) $[latex]727,200[latex] (B) $[latex]792,000[latex] (C) $[latex]800,000[latex] (D) $[latex]880,000[latex] (E) $[latex]968,000[latex] 2. Â At Store [latex]T[latex], the […]
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[Math Center] 1. By weight, liquid [latex]A[latex] makes up [latex]8[latex] percent of solution [latex]R[latex] and [latex]18[latex] percent of solution [latex]S[latex]. If [latex]3[latex] grams of solution [latex]R[latex] are mixed with [latex]7[latex] grams of solution [latex]S[latex], then liquid [latex]A[latex] accounts for what percent of the weight of the resulting solution? (A) [latex]10[latex]% (B) [latex]13[latex]% (C) [latex]15[latex]% […]
ã4.4.bã āĻ˛āĻžāĻ āĻ āĻā§āĻˇāĻ¤āĻŋ āĻ¸āĻŽā§āĻĒāĻ°ā§āĻāĻŋāĻ¤ āĻĒā§āĻ°ā§āĻ¯āĻžāĻāĻāĻŋāĻ¸
[Math Center] 1. If $[latex]10,000[latex] is invested at a simple annual interest rate of [latex]6[latex] percent, what is the value of the investment after half a year? 2. To produce a particular radio model, it costs a manufacturer $[latex]30[latex] per radio, and it is assumed that if [latex]500[latex] radios are produced, all of them […]
ã4.3.bãāĻāĻžāĻ āĻ āĻāĻ¤āĻŋāĻ° āĻšāĻžāĻ° āĻŦāĻŋāĻˇā§āĻ āĻ¸āĻŽāĻ¸ā§āĻ¯āĻž
[Math Center] 1. A car got [latex]33[latex] miles per gallon using gasoline that cost $[latex]2.95[latex] per gallon. Approximately what was the cost, in dollars, of the gasoline used in driving the car [latex]350[latex] miles? (A) $[latex]10[latex] (B) $[latex]20[latex] (C) $[latex]30[latex] (D) $[latex]40[latex] (E) $[latex]50[latex] 2. Working alone at its constant rate, machine A produces […]
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[Math Center] [latexpage] 1. Rectangle [latex]R[latex] has length [latex]30[latex] and width [latex]10[latex], and square [latex]S[latex] has length [latex]5[latex]. The perimeter of [latex]S[latex] is what fraction of the perimeter of [latex]R[latex] ? 2. If [latex]\frac{ d-3n }{ 7n-d }[latex] which of the following statements describes [latex]d[latex] in terms of [latex]n[latex]? (A) [latex]d[latex] is [latex]4[latex] […]
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[Math Center] 1. Â If an athleteâs weight decreased from [latex]160[latex] pounds to [latex]152[latex] pounds, what was the percent decrease in the athleteâs weight? 2. Emma spent $[latex]75[latex] buying a used bicycle and $[latex]27[latex] repairing it. Then she sold the bicycle for [latex]40[latex] percent more than the total amount she spent buying and repairing it. […]
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[Math Center] 1. When the positive integer [latex]n[latex] is divided by [latex]3[latex], the remainder is [latex]2[latex] and when [latex]n[latex] is divided by [latex]5[latex], the remainder is [latex]1[latex]. What is the least possible value of [latex]n[latex]? 2. [latex]n[latex] is a positive integer that is divisible by [latex]6[latex]. Quantity A Quantity B The remainder when [latex]n[latex] is divided by [latex]12[latex] The […]
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[Math Center] 1. Quantity A Quantity B [latex]\frac {{ 2 }^{ 30 }-{ 2 }^{ 29 }}{ 2 }[latex]  [latex]{ 2 }^{ 28 }[latex] 2. Quantity A Quantity B [latex]{ 3 }^{ x+1 }[latex]  [latex]{ 4 }^{ x }[latex] 3. [latex]x[latex] and [latex]m[latex] are positive numbers, and [latex]m[latex] is a multiple of [latex]3[latex]. […]
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[Math Center] 1. [latex]r, s[latex], and [latex]t[latex] are three consecutive odd integers such that [latex]r<s<t[latex]. Quantity A Quantity B [latex]r+s+1[latex] Â [latex]s+t-1[latex] 2. By how much is the greatest of five consecutive even integers greater than the smallest among them? (A) [latex]1[latex] (B) [latex]2[latex] (C) [latex]4[latex] (D) [latex]8[latex] (E) [latex]10[latex] 3. Â Which one of […]
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[Math Center] 1. Quantity A Quantity B The number of prime numbers divisible by [latex]2[latex] The number of prime numbers divisible by [latex]3[latex] 2. Which one of the following equals the product of exactly two prime numbers? (A) [latex]11*6[latex] (B) [latex]13*22[latex] (C) [latex]14*23[latex] (D) [latex]17*21[latex] (E) [latex]13*23[latex] 3. Which one of the following […]
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Quantitative Comparison āĻāĻŋāĻāĻ°āĻ āĻĒāĻ°ā§āĻā§āĻˇāĻžāĻ° āĻŽā§āĻ¯āĻžāĻĨ āĻŦāĻžÂ āĻā§ā§āĻžāĻ¨ā§āĻāĻŋāĻā§āĻāĻŋāĻ āĻ āĻāĻļā§ āĻŦāĻŋāĻļā§āĻˇ āĻāĻ āĻ§āĻ°āĻŖā§āĻ° āĻĒā§āĻ°āĻļā§āĻ¨ āĻāĻ¸ā§ āĻ¯ā§āĻāĻžāĻ¨ā§ āĻā§āĻ¨ āĻāĻāĻāĻŋ āĻ¤āĻĨā§āĻ¯ āĻĻā§āĻā§āĻž āĻšāĻ¤ā§ āĻĒāĻžāĻ°ā§, āĻ¤āĻžāĻ° āĻ¨ā§āĻā§ Quantity A āĻ Quantity B āĻĻā§āĻāĻŋ āĻāĻ˛āĻžāĻŽ āĻĻāĻŋā§ā§ āĻ¤āĻžāĻĻā§āĻ° āĻ¨ā§āĻā§ āĻĻā§āĻāĻŋ āĻāĻ˛āĻžāĻĻāĻž āĻ°āĻžāĻļāĻŋ āĻĻā§āĻā§āĻž āĻšāĻŦā§āĨ¤ āĻĒā§āĻ°āĻĻāĻ¤ā§āĻ¤ āĻ¤āĻĨā§āĻ¯ āĻĨā§āĻā§ āĻā§āĻ¨ āĻāĻ˛āĻžāĻŽā§āĻ° āĻ°āĻžāĻļāĻŋ āĻŦā§āĻšāĻ¤ā§āĻ¤āĻ° āĻ¤āĻž āĻŦā§āĻ° āĻāĻ°āĻ¤ā§ āĻšāĻŦā§āĨ¤ āĻāĻā§āĻˇā§āĻ¤ā§āĻ°ā§: āĻ¯āĻĻāĻŋ A āĻāĻ˛āĻžāĻŽ āĻŦā§ āĻšā§ āĻ¤āĻžāĻšāĻ˛ā§ āĻāĻ¤ā§āĻ¤āĻ° A […]
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[Math Center] 1. Quantity A Quantity B [latex]{ 950 }^{ 2000 }[latex]  [latex]{ 10 }^{ 2000 }[latex] 2. Which of the following integers are multiples of both [latex]2[latex] and [latex]3[latex] ? Indicate all such integers. (A) [latex]8[latex] (B) [latex]9[latex] (C) [latex]12[latex] (D) [latex]18[latex] (E) [latex]21[latex] (F) [latex]36[latex] 3. If [latex]\frac { 1 }{ \left( […]
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[Math Center] 1. Set [latex]S[latex] consists of all positive integers less than [latex]81[latex] that are not equal to the square of an integer. Quantity A Quantity B The number of integers in set [latex]S[latex] Â [latex]72[latex] 2. Which of the following numbers is farthest from the number [latex]1[latex] on the number line? (A) [latex]-10[latex] (B) […]
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[Math Center] 1. Quantity A Quantity B  The sum of the odd integers from [latex]1[latex] to [latex]199[latex] The sum of the even integers from [latex]2[latex] to [latex]198[latex] 2. The sequence of numbers [latex]{ a }_{ 1 },{ a }_{ 2 },{ a }_{ 3 }[latex]… [latex]{ a }_{ n }[latex].. is deīŦned by [latex]{ a }_{ n }=\frac{ […]