গানিতিক সমস্যা সম্পর্কিত বিভিন্ন ভিডিও লেকচার

শেখার বিভিন্ন মাধ্যম আছে। পড়ে, শুনে কিংবা দেখে আমরা নানান কিছু শিখতে পারি। শিক্ষার সনাতন পদ্ধতিটি পড়া হলেও, ইন্টারনেটের এই যুগে মানুষ দেখেও অনেক কিছু শিখছে। ইন্টারনেটে একটু সার্চ করলেই জাগতিক সকল বিষয়ের উপর ‘ভিডিও লেকচার’ পাওয়া যায়। কম্পিউটারের পর্দায় পৃথিবীর যে কোন প্রান্ত থেকে বিশেষজ্ঞ ব্যক্তি কোন বিষয় নিয়ে কথা বলেন, আর আমরা আমাদের […]

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〈6.2.b〉 সম্ভব্যতা বিষয়ক প্র্যাকটিস

[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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〈5.4.b〉 পরিসংখ্যান বিষয়ক প্র্যাকটিস

[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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〈5.3.a〉 ডাবল-সেটম্যাট্রিক্স এবং ভেন ডায়াগ্রাম সম্পর্কিত প্রশ্ন

[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 […]

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〈5.2.b〉Percentile 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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〈5.1.b〉 পরিসংখ্যান-মধ্যমা এবং বিচ্চুতি বিষয়ক প্র্যাকটিস

[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.  At Store [latex]T[latex], the […]

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〈4.5.b〉 বিভিন্ন ধরণের মিশ্রণ এবং মুদ্রা সম্পর্কিত প্র্যাকটিস

[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]% […]

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〈4.3.b〉কাজ ও গতির হার বিষয়ক সমস্যা

[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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〈4.2.b〉 ভগ্নাংশ বিষয়ক সমস্যা

[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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〈4.1.b〉 অনুপাত, সমানুপাত এবং শতকরা বিষয়ক প্র্যাকটিস

[Math Center] 1.  If an athlete’s weight decreased from [latex]160[latex] pounds to [latex]152[latex] pounds, what was the percent decrease in the athlete’s 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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〈3.6.b〉 সংখ্যার বিভাজ্যতা এবং একক স্থানীয় মান বিষয়ক প্র্যাকটিস

[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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〈3.4.b〉 ধারাবাহিক সংখ্যা, তাদের গড় ও মধ্যমা বিষয়ক প্র্যাকটিস

[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]  [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.  Which one of […]

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〈3.3.b〉 প্রাইম বিষয়ক প্র্যাকটিস

[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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গ্রেকের ম্যাথ টার্মসমূহের সঙ্কলন

Quantitative Comparison জিআরই পরীক্ষার ম্যাথ বা কুয়ান্টিটেটিভ অংশে বিশেষ এক ধরণের প্রশ্ন আসে যেখানে কোন একটি তথ্য দেওয়া হতে পারে, তার নীচে Quantity A ও Quantity B দুটি কলাম দিয়ে তাদের নীচে দুটি আলাদা রাশি দেওয়া হবে। প্রদত্ত তথ্য থেকে কোন কলামের রাশি বৃহত্তর তা বের করতে হবে। এক্ষেত্রে: যদি A কলাম বড় হয় তাহলে উত্তর A […]

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〈3.2.b〉 লসাগু এবং গসাগু বিষয়ক প্র্যাকটিস

[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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〈3.1.b〉 বিভিন্ন ধরণের সংখ্যা, স্থানীয় মান বিষয়ক প্র্যাকটিস

[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]  [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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