Explanation:

A drink contains 20% cranberry juice, 20% raspberry juice and the rest is apple juice. You added 250 ml water in 750 ml of the drink. Now, what is the ratio of water of water to apple juice in the drink? Correct Answer 5:9 60% of 750 = 0.6× 750 = 450 Now, 250 : 450 = 5 : 9

Explanation:

Before the budget, a businessman had increased the price of his product by 12%. In the budget, a 10% sales tax (to be paid by the seller) was imposed on that product. As a result, the profit ultimately increased by Tk 64. What was the original selling price? Correct Answer Tk 8,000 Let, Original selling price be x After increaseing 12% then the price x + 12 of x = 1.12x Now, vat to be paid 10% of 1.12x = 0.112x Need profit = 0.12x - 0.112x = 0.008x According to question, 0.008x = 64 x = 8000 Tk.

Explanation:

At a college football game, 4/5 of the seats in the lower deck of the stadium were sold. If one-fourth of all the seats in the stadium were located in the lower deck, and if 2/3 of all the seats in the stadium were sold, what fraction of the unsold seats in the stadium were in the lower deck? Correct Answer 3/20 ধরা যাক, stadium - এ total seat সংখ্যা x টি so lower deck - এ seat সংখ্যা x4 টি so lower deck - এর অবিক্রিত seat সংখ্যা 15×x4 = x20 টি পুরো Stadium এর বিক্রীত seat 2x3 টি হলে অবক্রিত seat সংখ্যা x20 টি so stadium - এর x3 টি অবক্রিত seat - এর মধ্যে lower deck x20 টি সুতরাং stadium এর 1 টি অবক্রিত seat এর মধ্যে lower deck = x20×3x = 320 টি

Explanation:

If a and b are integers greater than 100 such that a+b=300, which of the following could be the each color? Correct Answer 9 to 1 To solve this question, you need to look at the answer choice. For of the answer choices to be the ratio of a to b, some multiples of the sum of the teo numbers must evenly divide by 300. E.g, if the ratio is 9:1, then a would be 9x and b would be x for some number x. Furthermore, 9x + x would have to equal 300. This is possible since 10x = 300 yields an integer solution, namely x = 30. Hawever if x = 30, then a would be 270 and b would be 30. So not the right ans. Only choice E. gives a correct ratio that satisfies all the conditions in the problem. For (e), a = 180 and b = 120, both are greater than 100.

Explanation:

The statement "x>5 or x<3" is true if x equals. Correct Answer 1 x > 5 এটা দ্বারা বোঝায় x এর মান হবে 5 এর থেকে বড়। x

Explanation:

Two merchants sell, each an article for Tk. 1000. If Merchant A computer his profit on cost price, while Merchant B computes his profit on selling price, they end up making profits of 25% respectively. By how much is the profit made by Merchant B greater than that of Merchant A? Correct Answer 50 B computes his profit as a percentage of selling price. So His profit = 25% of 1000 = 250 Tk A computes his profit as a percentage of cost price. Therefore, when he makes a profit of 25% or 14th of his cost price, then his profit expressed as a percentage of selling price = 11 + 4 = 15th or 20% of selling price. Hence, B makes (250 - 200) Tk = 50 Tk more than A.

Explanation:

Alim and Badrul enter in to a partnership and Alim invests Tk 10,000 in the partnership. At the end of 4 months he withdraws Tk 2000. At the end of another 5 month, he withdraws another Tk 3000. If Badrul receives Tk 9600 as his share of the total profit of Tk 19,100 for the year, how much did Badrul invest in the company? Correct Answer 8,000 Total profit is 19100. Badrul gets 9600, so Alim would get (19100 - 9600) = 9500 Tk They split their profits in the ratio of investments. Therefore, the ratio of investments of A:B = 9500:9600 = 95:96 Alim invested Tk 10000 Initially for a period of 4 months. Then he withdraw Tk. 2000. Hence his investment has reduced Tk 8000(for next 5 months). Then he withdraw another Tk. 3000. Hence his investment will stand reduced to tk. 5000 during the last three months. So the amount of money that he had invested in the company on a money - month basis will be = 4×10000 + 5×8000 + 3×5000 = 40000 + 40000 + 15000 = 95000 If Alim had Tk 95000 Invested, Badrul would have invested Tk 96000 as the ratio is 95:96 If Badrul invested 96000 Tk in money - month basis, he has essentially invested 9600012 = 8000Tk

Explanation:

Certain numbers of children were playing a game of football. There was a trial taking place on the field. In this trial the probability that a goal is scored is 2/5. The probability that a gril hits a goal is 7/10 whereas the probability than a boy hits a goal is 1/5. What will be the probability that not only a goal is hit but it is also hit by a boy? Correct Answer 2/25 We know that, the probability that two events will take place simultaneously is denoted by the product of the individual occurences of each of the different events. So The probability that a goal is scored and it is also scored by a boy = 25×15 = 225

Explanation:

At XYZ Company, the ratio sales to gross profit is 4:3 and the ratio of gross profit to net profit is 3:1, what is the ratio of net profits to sales? Correct Answer 1:4 Sales : gross profit = 4 : 3 gross profit : net profit = 3 : 1 sales : gross : net = 4 : 3 : 1 net : sales = 1 : 4

Explanation:

In what ratio must a grocer mix two varieties of tea worth Tk. 60 a kg and Tk. 65 a kg so that by selling the mixture at Tk. 68.20 a kg he may gain 10%? Correct Answer 3:2 Selling price of the mixture = Tk.68.20, Gain = 10% Cost price of the mixture = Tk. ( 100/110×68.20) = Tk. 62 Required ratio = 3 : 2

Explanation:

Which of the following number is not a prefect square? Correct Answer 2187 None of them are perfect squares, the question has problems.

Explanation:

A car averages 25 miles per gallon of gasoline when driven in the city and 40 miles per gallon when drives on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 50 miles on the highway? Correct Answer 36 10 miles in City while it gives 25 miles/gal in city, so 10 miles will consume: 1025 = 25 gal. 10 miles on highway while if gives 40 miles/gal on highway, so 10 miles will consume: 1040 = 14 40 miles on highway whiles if gives 40 miles/gal on highway, so 40 miles will consume: 4040 = 1 gallon Total gal. = 1 + 25 + 14 = 3320 Total distance = 10 + 50 = 60 So avg. is = 603320 = 36

Explanation:

Annie invested a certain sum of money in a bank that paid simple interest. The amount grew to Tk 240 at the end of 2 years. she waited for a another 3 years and got a final amount of Tk 300. What was the principal amount that she invested at the beginning? Correct Answer 200 amount + interest of 2 years = 240 " + " " 5 " = 300 So only interest of 3 years = 300 - 240 = 60 So " " " 1 " = 603 = 20 So " " " 2 " = 20×2 = 40 So amount = 240 - 40 = 200 Tk.

Explanation:

Arafat and Asif were each paid X taka in advance to do a certain job together. Arafat worked on he job for 10 hours and Asif worked 2 hours less than Arafat. If Asif gave Arafat Y taka of his payment so that they would have received the same hourly wage, what was the amount in taka, in terms of Y, that Arafat was paid in advance? Correct Answer 9Y Hints: আসিফ, আরাফাতকে y টাকা দিলে আসিফের টাকার পরিমাণ (x - y) এবং আরাফাতের টাকার পরিমাণ (x + y) আরাফাত 10 ঘন্টা কাজ করে পায় x + y টাকা আরাফাত 1 ঘন্টা কাজ করে পায় (x + y)/10 টাকা অপরদিকে, আসিফ 8 ঘন্টা কাজ করে পাই x - y টাকা আসিফ 1 ঘন্টা কাজ করে পাই ( x - y)/8 টাকা শর্তমত, (x + y)/10 = (x - y)/8 10x - 10y = 8x + 8y 2x = 18y x = 9y

Explanation:

A factory with 3 machines has a job of stamping out a number of pan covers. The newest machine can do the job in 3 days, another machine can do it in 4 days, and the third machine can do it in 6 days. How many days will the factory take to do the job using all three machines? Correct Answer 1.333 তিনটি মেশিন একত্রে 1 দিনে করে = (13 + 14 + 16) = 912 = 34 অংশ তিনটি মেশিন একত্রে 34 অংশ করে 1 দিনে। " " " 1 (বা সমস্ত) " " 43 = 1.333 দিনে।

Explanation:

The Lions Club has a target of raising at least Tk 500 thousand. It has already raised Tk 100 thousand. The club is sponsoring a 'Pitha' festival and Tk 5000 per ticket. Which equation represents the number of tickets (t) that the club must sell to meet its target? Correct Answer 5t+100=500 5t + 100 = 500 5 thousand × number of tickets + 100 thousand = 500 thousand

Explanation:

If a, b, and consecutive positive integers and a Correct Answer abe Hints: যেহেতু, a, b, c ক্রমিক সংখ্যা সেহেতু, b, odd হলে a ও c even হবে এবং b even হলে a ও c odd হবে। (a + b) এবং (b + c) উভয় সংখ্য. odd (a + b) ( b + c) = odd

Explanation:

A tank is fitted with 8 pipes, some of them that fill the tank and others that are waste pipe meant to those that empty the tank can empty it in 6 hours. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are these are fill pipes? Correct Answer 4 let the amount of fill pipes be (n). Therefore, there will be 8 - n, waste pipes. Each of the fill pipes can fill the tank is 8 hrs. Therefore, each of them will fill 18th of the tank in one hour. Hence, n fill pipes will fill n8th of the tank in one hour. Similarly, (8 - n) waste pipes will drain 8 - n6th of the pipe in one hour. Between the fill pipes and waste pipes, they drain - in 6 hrs. So, n8 - 8 - n6 = 16 6n - 64 - 8n48 = 16 14n - 64 = - 8 14n = 56 n = 4

Explanation:

You are considering investing in a firm and wish to place a value on the common stock. The dividend on the firm's stock has not changed in the last five years. In absence of any information suggesting future changes in the dividend rate, the most appropriate stock valuation model be the -----model. Correct Answer zero growth soothe প্রশমিত করা। এ্যালার্ম ঘড়ির শব্দ প্রশমিত করা কঠিন নয়।

Explanation:

Rehana leaves her home early in the morning so that she can reach her office on time. If she walks at the rate of 7 km/hr then she reaches her office 8 minutes late. But, if she walks at a speed of 8 km/hr, then she reaches her 4 minutes early. What is the distance in km between Rehana's house and her office? Correct Answer 11.2 In both situation she is walking the same distance. So rate × time for first trial has to be equal for rate× time for second trial. We know that trial 1 takes (8 + 4) men or 12 min or 1260 hrs longer than trial 2 let time for trial 2 be T So, 8×T = 7×(T + 1260) T = 7×1260 = 75 so Distance = 8×T = 8×75 = 565 = 11.2 km

Explanation:

When walking a certain person takes 16 complete steps in 10 seconds. At this rate, how many complete steps does the person take in 72 seconds? Correct Answer 45 Hints: In 10 seconds he takes 16 steps In 72 second he takes (72×16) / 10 = 115.2 steps = 115 steps ( correct ans)

Explanation:

দুটি বৃত্তের ব্যসার্ধের অনুপাত ২:৩ হলে বৃত্ত দুটির ক্ষেত্রফলের অনুপাত কত হবে? সঠিক উত্তর ৪ : ৯ মনে করি, বৃত্তদ্বয়ের ব্যাসার্ধ r₁ এবং r₂ ∴r₁/r₂ = 2/3 = > r₁²/r₂² = 4/9 [বর্গ করে] = > πr₁²/πr₂² = 4/9 [বৃত্তের ক্ষেত্রফল] = > πr₁²:πr₂² = 4:9

Explanation:

35% of Tahia's income is equal to 25% of Noria's income . The ratio of their income is --. Correct Answer 5:7 Let, Tahias income = x and Nonas income = y According to question 35% of x = 25% of y = > 35x/100 = 25y/100 = > 35x = 25y = > x/y = 25/35 ∴x : y = 5 : 7

Explanation:

A clock seen through the mirror reads a quarter to nine. What is the actual time? Correct Answer 3:15 11:60 - 8:45 = 3:15 ,This is the actual formula of mirror clock image.

Explanation:

If 4 is subtracted from one-fourth of a number, the result is 20. Which of the following is the number ? Correct Answer 12 Let the number be X. ATQ, X/4 - 4 = 20 or, X/4 = 20 + 4 or, X = 24 x 4 = 96

Explanation:

The salaries of A, B, C are in the ratio 2: 3: 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries? Correct Answer 23 : 33 : 60 "Let A = 2k, B = 3k and C = 5k. A's new salary = 115100of2k = 1151002k = 23k10 B's new salary = 110100of 3k = 1101003k = 33k10 C's new salary = 120100of 5k = 1201005k = 6k ∴New Ratio23k10:33k10:6k = 23:33:60

Explanation:

In a group of people solicited by a charity , 30% contributed TK. 40 each, 45% contributed TK. 20 each and the rest contributed TK. 12 each . What percentage of the total contributed came from people who gave TK. 40 ? Correct Answer 25% Let, total participant = 100 30% contributed = 40×30% = 40×30/100 = 12 Tk. 45% contributed = 20 × 45 % = 20×45/100 = 9 Tk.  Test = { 100 - ( 30 + 45) }% = 25% contributed = 12×25/100 = 3 Tk. The percentage of total amount came from people who gave Tk 40 each = 12 /( 12 + 9 + 3) ×100 = 50%

Explanation:

A Company makes a profit of 6% on its first Tk. 10,000 of sales day and 5% on all sales in excess of Tk. 10,000 for that day. How much taka in profit will the company make in a day when sales are Tk 6,0000? Correct Answer 3100 100 টাকায় লাভ হয় 6 টাকা ∴10,000 ,, ,, ,, 6 × 10,000100 ,, = 600 টাকা আবার, 100 টাকায় লাভ হয় 5 টাকা ∴ 50,000 ,, ,, ,, 50,000 × 5100 ,, = 2500 ,, ∴ 1 দিনে লাভ হয় (2,500 + 600) বা 3,100 টাকা।

Explanation:

Two trains of the same length running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively andhey cross each other in 23 seconds. What is the ratio of their speeds? Correct Answer 3 : 2 দক্ষিণ - পূর্ব এশিয়ার দেশ থাইল্যান্ডের মুদ্রার নাম বাথ। ভারত, নেপাল, পাকিস্তান, শ্রীলংকা, মরিশাসের মুদ্রার নাম রুপি। মালয়েশিয়ার মুদ্রা রিঙ্গিত এবং তুরঙ্কের মুদ্রা লিরা। থাইল্যান্ড শব্দের অর্থ স্বাধীন ভূমি বা মুক্তভূমি।

Explanation:

X, Y and Z jointly started a business. It was agreed that X would invest Tk 6,500 for 6 months, Y, Tk 8,400 for 5 months and Z, Tk 10,000 for 3 months. X wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Tk 7,400. What is the share of Y in the profit? Correct Answer Tk 2,660 দীর্ঘ পাঁচ দশকেরও বেশি সময় ধরে চলা গৃহযুদ্ধ অবসানে গুরুত্বপূর্ন ভূমিকা পালনের জন্য ২৬ কস রাষ্ট্র বা সরকার প্রধান হিসেবে ২০১৬ সালে শান্তিতে নোবেল পুরস্কার পান কলম্বিয়ার প্রেসিডেন্ট হুয়ান ম্যানুয়েল সান্তোস । ২০১৭ সালে শান্তিতে নোবেল পায় ICAN

Explanation:

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they gain meet at the starting point altogether? Correct Answer 46 minutes and 12 seconds উত্তর ইউপোপের দেশ ফিনল্যান্ডের রাজধানী হেলসিংকি। এর মুদ্রার নাম ইউরো। জেনেভা সুইজারল্যান্ডের বিখ্যাত শহর। হেগ হলো নেদারল্যান্ডসের প্রশাসনিক রাজধানী এবং বার্লিন জার্মানির রাজধানী।

Explanation:

Four subjects ---physics, Chemistry, Mathematics and Biology ---were taught in four consecutive periods of one hour each starting from 8.00 a.m. At what time was the chemistry period scheduled? 1. Mathematics period ended at 10.00 a.m, which was preceded by Biology. 2. Physics was scheduled in the last period. 3. Mathematics period was immediately followed by Chemistry. Correct Answer Only 1 and either 2 or 3 ইঙ্গিতগুলো নিচে ক্লাস রুটিন আকারে সাজালেই বোঝা যাবে Chemistry ক্লাস কখন হবে।

Explanation:

A car averages 25 miles per gallon of gasoline when driven in the city and 40 miles per gallon when driven on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car average when it is driven 10 miles in the city and then 60 miles on the highway? Correct Answer 36 Total দূরত্ব = (10 mile + 50 mile) = 60 mile City - তে 25 mile যায় 1 gallon - এ ∴ 10 " 1×1025 = 25 gallon 1×5040 = 54 gallon

Explanation:

In a class, 120 students are male and 100 students are female. 25% of the male students and 20% of the female students are engineering student. 20% of the male engineering students and 25% of the female engineering students passed the final exam. What percentage of engineering students passed the exam? Correct Answer 22% এখানে, Male eng. student এর সংখ্যা (120×25%) = 30 জন Female eng. student এর সংখ্যা (100×20%) = 20 জন ∴ Total eng. student পাশ করেছে (30 + 20) = 50 জন Male eng. student পাশ করেছে (30×20%) = 6  জন। শতকরা পাশ করেছে 6 + 550×100 = 22%;

Explanation:

If Kamal gives 20 marbles to Shuvo, then, both of them will have equal numbers of marbles in their possessions. If Shuvo gives 40 marbles to kamal then Kamal will have twice the number of marbles that Shuvo will retain. What is the number of marbles that Kamal has? Correct Answer 200 ধরি, কামাল ও শুভর মার্বেল যথাক্রমে x ও y টি। প্রথম শর্তে, x - 20 = y + 20 x - y = 20 + 20 x - y = 40................. (1) দ্বিতীয় শর্তে, x + 40 = 2 ( y - 40) বা, x + 40 = 2y - 80 বা, 80 + 40 = 2y - x 2y - x = 120............ (2) (1) + (2) = 2y - x = 120 x - y = 40 y = 160 (1) নং হতে x - 160 = 40 x = 200 অর্থাৎ, কামালের কাছে মার্বেল আছে 200 টি।

Explanation:

If Arif works alone he will take 20 more hours to complete a task than if he works with Babu to complete the task. If Babu work alone, he will take 5 more hours to complete the task than if he works with Arif to complete the task. What is the ratio of the time taken by Arif to than taken by Babu if each of them works alone to complete the task? Correct Answer 2 : 1 ধরি, আরিফ ও বাবু কাজটি করে x ঘন্টায় আরিফ একা কাজটি করে ( x + 20) ঘন্টায় বাবু একা কাজটি করে ( x + 5) ঘন্টায় 1/x + 20 + 1 /x + 5 = 1/x 1/x + 20 = 1/x - 1/x + 5 1/x + 20 = x + 5 - x/x(x + 5) x2 + 5x = 5x + 100 x2 + 5x - 5x = 100 x = 10 আরিফের কাজটি করার সময় : বাবুর কাজটি করার সময় = ( 20 + 10) : ( 5 + 10) = 30 : 15 = 2 : 1

Explanation:

After the increase of price of oil by 40%, a family decided to reduce its oil consumption so that the expenditure for oil goes up by 26% only. If the total consumption of oil before the price rise was 10 kg per month, then what is the current consumption of oil per month (in kg)? Correct Answer 9 40% বৃদ্ধিতে, বর্তমান মূল্য 140 টাকা হলে পূর্ব মূল্য 100 টাকা বর্তমান মূল্য 126 টাকা হলে পূর্ব মূল্য ( 100/140 × 126) = 90 টাকা এখন, পূর্বে 100 টাকায় পাওয়া যেত 10 kg তেল পূর্বে 90 টাকায় পাওয়া যেত ( 10/100 × 90) = 9 kg তেল অর্থাৎ, বর্তমান ব্যবহার 9 kg ।

Explanation:

There are 87 balls in a jar. Each ball is painted with at least one of two colors, red or green. It is observed that 2/7 of the balls that have red color also have green color, while 3/7 of the balls that have green color also have red color. what fraction of the balls in the jar has both red and green colors? Correct Answer 6/29 এখানে একটি Jar এ 87 টি বল আছে। প্রতিটি বলে red অথবা green এই দুটি color - এর অন্তত একটি পাওয়া যাবে। আবার red color বলের 27 অংশে green color ও আছে। 7 টি বলে 2 টি বল Boty color মানে (Red + Green)।বের করতে হবে মোট বলের কত অংশ red এবং green উভয় color আছে? ধরি, উভয় এর সংখ্যা উভয় color বল x হলে red color বল হবে 7x2 টি " " " " " green " " 7x3 " Total = Red + green - both 87 = 7x2 + 7x3⇒87 = 21x + 14x - 6x6⇒87 = 29x6⇒3 = x6∴x = 18So,the fraction = 1887 = 629

Explanation:

The members of a club participate in at least one game. Twenty of them play football, 10 play cricket, 12 play hokey. Three of them play cricket only, 4 of them play both the cricket and football but not hockey, 2 of them participate all games. How many people play both cricket and hockey but not football? Correct Answer 1 হকি ও ক্রিকেট খেলে কিন্তু ফুটবল খেলে না এদের সংখ্যা = { 10 - ( 3 + 4 + 2)} বা, 1 জন।

Explanation:

At a collegae football game, 4/5 of the seats in the lower deck of the stadium were sold. If one-forth of all the seating in the stadium is located in the lower deck and if 2/3 of all the seats in the stadium were sold. What fraction of the unsold seats in the stadium were in the lower deck? Correct Answer 3/20 ধরি, stadium - এ total seat সংখ্যা x টি ∴ Lower deck - এ seat সংখ্যা x4 টি ∴ Lower deck - এ অবিক্রিত seat সংখ্যা 15×x4 = x20 টি পরো stadium - এ বিকিত seat 2x3 টি হলে অবিকিত seat সংখ্যা x3 টি ∴ stadium - এ x3 টি অবিকিত seat - এর মধ্যে lower deck x20 টি Stadium - এ 1 অংশ (সম্পূর্ণ) অবিকিত seat - এর মধ্যে lower deck x20×3x = 320 টি

Explanation:

(x-y)(x+y)/x2-y2= কত? Correct Answer 1 ( x - y) ( x + y) / ( x2 - y2) = ( x2 - y2) /x2 - y2 = 1

Explanation:

If a and b are integers greater than 100 such that a+b=300, which of the following could be the exact ratio of a to b? Correct Answer 9 to 1 9 + 1 = 10;910×300  =  2705 + 2 = 7, 57×300 = fraction5 + 3 = 8, 58×300 = fraction3 + 1 = 5,35×300 = 180;25

Explanation:

পিতা ও পুত্রের বয়সের সমষ্টি ৭০ বছর। তাদের বয়সের অনুপাত ৫ঃ২ ছিল। ১০ বছর পর তাদের বয়সের অনুপাত কত? সঠিক উত্তর ২ঃ১ পিতার বর্তমান বয়স ( 70 × 5/5 + 2) বছর = ( 70 × 5/7) = 50 বছর পুত্রের বর্তমান বয়স = ( 70 × 2/7) = 20 বছর 10 বছর পরে তাদের বয়সের অনুপাত ( 50 + 10) : ( 20 + 10) = 60 : 30 = 2 : 1

Explanation:

A large cube is formed from the material obtained by melting three smaller cubes of 3,4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube? Correct Answer 25 : 18 রবীন্দ্রনাথ ঠাকুরের লেখা নাট্যগ্রন্থ ‘রক্ত করবী’ । অন্যদিকে আনন্দ মঠ ও দুর্গেশনন্দিনী উপন্যাসের লেখক হলেন বঙ্কিমচন্দ্র চট্টোপাধ্যায়। বিভূতিভুষণ বন্দ্যোপাধ্যায়ের উপন্যাস পথের পাঁচালী।

Explanation:

x2-y2-2y এর একটি উৎপাদক 1 x+y+1 হলে অপর উৎপাদক নিচের কোনটি হবে? সঠিক উত্তর x-y-1 x2 - y2 - 2y - 1 x2 - ( y2 + 2y + 1) (x)2 - ( y + 1)2 ( x + y + 1) ( x - y - 1) অপর উৎপাদক ( x - y - 1)

Explanation:

যদি x+y=7 এবং xy=12 হলে x এবং y এর সম্ভাব্য মান নিম্নের কোনটি হবে? সঠিক উত্তর ৪ এবং ৩ 4 + 3 = 7 এবং 4 × 3 = 12 5 + 2 = 7 এবং, 5 × 2 = 10 6 + 2 = 8 এবং, 6 × 2 = 12 6 + 1 = 7 কিন্তু, 6 × 1 = 6 x এবং y এর মান 4 ও 3

Explanation:

যদি x(2x+1)=0 এবং (x+1/2)(2x-3)=0 হয়, তাহলে x এর মান কত? সঠিক উত্তর -১/২ x ( 2x + 1) = 0 x = 0 x = - 1/2 x = 0 হলে, ( x + 1/2) ( 2x - 3) = ( 0 + 1/2) (0 - 3) = - 3/2 ( x + 1/2) ( 2x - 3) ≠0 আবার, x = - 1/2, ( x + 1/2) ( 2x - 3) = ( - 1/2 + 1/2) { 2 ( - 1/2) - 3 } = 0 × ( - 4) = 0 সুতরাং, x = - 1/2