Explanation:

সমকোণী ত্রিভুজের বাহুগুলোর অনুপাত কোণটি? সঠিক উত্তর ১৩ : ১২ : ৫ আমর জনি, সমকোণী ত্রিভুজের ক্ষেত্রফল = লম্ব২ + ভূমি২ = অতিভুজ২ = > ১২২ + ৫২ = ১৩২ = > ১৪৪ + ২৫ = ১৬৯ = > ১৬৯ = ১৬৯ ∴ ১৩:১২:৫ বাহুগুলির অনুপাত দিয়ে সমকোণী ত্রিভুজ আঁকা যায়।

Explanation:

দুই অঙ্কবিশিষ্ট একটি সংখ্যার একক স্থানীয় অঙ্ক ৬। সংখ্যাটি তার অঙ্কদ্বয়ের সমষ্টির ৪ গুণ হলে সংখ্যাটি কত? সঠিক উত্তর ৩৬ [***প্রশ্নে ভুল আছে। "সংখ্যাটি তাঁর অংকদ্বয়ের সমষ্টির ৪ গুণ" হবে] ধরি, দশক স্থানীয় অংকটি Y. তাহলে, সংখ্যাটি = ১০Y + ৬ সংখ্যাটির অংকদ্বয়ের যোগফল = Y + ৬ প্রশ্নমতে, ১০Y + ৬ = ৪(Y + ৬) বা, ১০Y + ৬ = ৪Y + ২৪ বা, ১০Y - ৪Y = ২৪ - ৬ বা, ৬Y = ১৮ বা, Y = ৩ সুতরাং, সংখ্যাটি = ৩৬।

Explanation:

একটি রাশি অপর একটি রাশির ৬৪% হলে, রাশি দুটির অনুপাত কত? সঠিক উত্তর ১৬ : ২৫ প্রথম রাশি ৬৪ হলে দ্বিতীয় রাশি ১০০। সুতরাং,  ১ম রাশি : ২য় রাশি = ৬৪ : ১০০ = ১৬ : ২৫

Explanation:

The elevator in an eleven-storied office building travels at the rate of one floor per 1/4 minute, which allows time for picking up and letting down passengers. At the main floor and at the top floor the operator stops for 1 minute. How many complete (with return) trips will the operator makes during a 7-hour period? Correct Answer 60 Complete trip = 10 floors up and 10 floors down = 20 floors = 20*1/4 = 5 minutes + 2 minutes = 7 minutes. 7 hour = 420 minutes. In 420 minutes operator can make 420/7 = 60 trips.

Explanation:

If a : b = 4 : 7 and b : c = 5 : 6, than a : b : c =? Correct Answer 20 : 35 : 42 a : b = 4 : 7 = (4x5) : (7x5) = 20 : 35 b : c = 5 : 6 = (5x7) : (6x7) = 35 : 42 সুতরাং,  a : b : c =  20 : 35 : 42

Explanation:

A bonus of Tk. 25,000 will be distributed among three salespersons in proportion of the amounts by which their sales exceed the basic quota of Tk. 200,000. Mrs. Asha sold Tk. 600,000. Mr. Bashir sold Tk. 450,000, and Mr. Saif sold Tk. 300,000. How much did Mr. Saif receive from this bonus? Correct Answer Tk. 3333.33 Their sales exceeded the basic quota of TK 200000 by 400000, 250000 and 100000 respectively. So, Mr. Saif will receive a bonus amount = {100000/(400000 + 250000 + 100000)}x25000 = 3333.33 TK.

Explanation:

One thousand shares of Luis Inc. Were purchased at Tk. 8.75 per share. The share price rose 215% in the first year after purchase, dropped 40% in the second year, and then dropped another 20% in the third year. What is the price per share at the end of the third year? Correct Answer Tk. 13.23 the price per share at the end of the first year = 8.75 x (215 + 100)/100 the price per share at the end of the second year = 8.75 x (215 + 100)/100 x (100 - 40)/100 the price per share at the end of the third year = 8.75 x (215 + 100)/100 x (100 - 40)/100 x(100 - 20)/100                                                   = 8.75 x 315/100 x 60/100 x 80/100                                                   = 13.23 tk (ans)

Explanation:

Shabnam, a student of science group, is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it? Correct Answer 2x+5(x-1)=9, x=2 Q. Shabnam, a student of science group, is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it?Option A is the correct ans.2x+5(x-1)=9, x=2or, 2*2+5(2-1) = 9or, 9 = 9

Explanation:

At a certain high school, the respective weights for the following subjects are : General Math 3, Bangla 3, History 2, Science 2 and Art 1. What is a student's average whose marks were the following : Geometry 89, Bangla Literature 92, History 94, Biology 81, and Sculpture 85? Correct Answer 88.9 ATQ, the average = (3*89 + 3*92 + 2*94 + 2*81 + 85)/(3 + 3 + 2 + 2 + 1)             = ( 3*181 + 2*175 + 85)/11             = 978/11             = 88.9 (ans)

Explanation:

Three athletes X, Y and Z start running around a circular track of length 60m from the same point simultaneously in the same direction at speeds of 3 m/s, 5 m/s, and 9 m/s respectively. After how long will they meet for the first time after they started running? Correct Answer 60 sec. Time take by X to cover a circle = 60/3 = 20 sec Time taken by Y to cover a circle = 60/5 = 12 sec Time taken by Z to cover a circle = 60/9 sec   So every 20 sec, X will be at the starting point. Every 12 secs Y will be at the starting point. Every 60/9 sec, Z will be at the starting point. Taking their LCM, we get 60. So every 60 sec, all three will be at the starting point.  All meet for the first time at the starting point after they start moving after 60 sec.

Explanation:

In a certain fashion house, which has four sizes of a specific shirt, there is one-third as many small shirts as medium shirts, and 1/2 as many large shirts as small shirts. If there are as many X-large shirts as large shirts, what percent of the shirts in the store are medium? Correct Answer 60% Let, the parcent of medium shirts be M. Then, the parcent of small shirts = M/3 The parcent of large shirts = (1/2) x M/3 = M/6 The parcent of X - large shirts = M/6 Now,  M = 1 - (M/3 + M/6 + M/6) = 1 - 2M/3 or,   M + 2M/3 = 1 or,   5M/3 = 1 or,   M = 3/5 So,   M = (3/5) x 100% = 60%

Explanation:

্x : y = 5 হলে 3x : 5y = ? Correct Answer 1 : 2 প্রশ্নে ভুল আছে। প্রশ্নটি হবে, x : y = 5 : 6 হলে 3x : 5y = কত ? সমাধানঃ দেওয়া আছে, x : y = 5 : 6 বা, x/y = 5/6 বা, x/y * 3/5 = 5/6 * 3/5 ,[3/5 দ্বারা উভয় পক্ষে গুণ করে] বা,3x/5y = (3*5)/(5*6)  বা,3x/5y = 15/30 বা,3x/5y = 1/2 .;. 3x:5y = 1:2 (ans)

Explanation:

If x>2 then which of the following is true? Correct Answer (x+2/x)<2 Q. If x>2 then which of the following is true?Here,x is greater than 2.so it can be 3 or 4 or 5 … etc.Let, x = 3Now test those options.Option A: (x+2/x)2 or 5/3 > 2 which is FalseOption C: x-2=0 or 3-2 = 0 which is also a False∴ Option A is the Correct Ans.

Explanation:

At 9:00 a. m. the train Surmal left station and two hours later the train. Titas left the same station on a parallel track in the same direction. If Surma averaged 60 kilometers per hour and Titas averaged 75 kilometers per hour, at what time did Titas pass Surma? Correct Answer 7:00 p.m. From given data, 60(x) = 75(x - 2) , x is total time taken 60x = 75x - 150 15x = 150 x = 10 so total time taken is 10 hrs i.e at 7pm

Explanation:

Sobuj bought three pieces of material. The first piece is 1 yard 2 feet 6 inches long, the second piece is 2 yards 1 feet 5 inches long, and the third piece is 4 yards 2 feet 7 inches long. If the cost of the material is Tk. 36 per yard, how much did Sobuj spent? Correct Answer Tk. 330 Piece1 = 1 yard 2 feet 6 inches Piece2 = 2 yards 1 feet 5 inches Piece3 = 4 yards 2 feet 7 inches - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Total length = 7 yards 5 feet  18 inches                       = 7 yards 6 feet 6 inches [1 foot = 12 inch]                       = 9 yeards 0.5 feet [1 yard = 3 feet]                       = (9 + 0.5/3) yards                         = 27.5/3 yards Total cost = 36 x 27.5/3 = 330 TK.

Explanation:

যদি 5 : 100, 4 : 64 হয়, তবে 4 : 80, 3 : ? Correct Answer 48 Given that, ৫১০০=১২০৪৬৪=১১৬Again,৪৮০=১২০৩X=১১৬⇒ X = ৪৮Ans: ৪৮

Explanation:

Among the 120 students of a class, numbered 1 to 120, all even numbered students opt for Bangla, whose numbers are divisible by 5 opt for English and those numbers are divisible by 7 opt for Math. How many opt for none of these three subjects? Correct Answer 19 Here, Number of even numbered students, n(B) = 120/2 = 60 Number of numbers divisible by 5, n(E) = 120/5 = 24 Number of numbers divisible by 7, n(M) = 120/7 ≈17 Number of even numbers divisible by 5, n(BꓵE) = 24/2 = 12 Number of numbers divisible by both 5 & 7, n(EꓵM) = 3 Number of even numbers divisible by 7, n(BꓵM) = 17/2 ≈ 8 Number of even numbers divisible by both 5 & 7, n(BꓵEꓵM) = 1 Number of students opting for atleast one of the subjects = n(BUEUM) n(BUEUM) = n(B) + n(E) + n(M) - n(BꓵE) - n(EꓵM) - n(BꓵM) + n(BꓵEꓵM)                   = 60 + 24 + 17 - 12 - 3 - 8 + 1  = 79  Students opting for none of the subjects, n(BUEUM)' = 120 - n(BUEUM) = 120 - 79 =  41.

Explanation:

What is the next number in the following pattern ? 1, 1/2, 1/4, 1/8, - Correct Answer 1/10 Here,….1 ÷ 2 = 1/2½ ÷ 2 = 1/4¼ ÷ 2 = 1/8so, 1/8 ÷ 2 = 1/16 (ans:)….

Explanation:

From 7 : 00 AM to 11:00 AM it rained 2.25 inches. At 11:00 AM the rain increased ti fall at a rate of 1.25 inches every two hours. How many inches of rain landed on the ground by 5:00 PM? Correct Answer 6 inches   Given, From 7:00 AM to 11:00 AM it rained 2.25 inches here, 11AM - 5PM = 6 hrs rainfall increased 1.25 every 2 hrs so,rainfall increased 6/2 = 3 times  rainfall from 11am - 5pm = 3*1.25 = 3.75 inches total rain = 2.25 + 3.75 = 6 inches (ans)

Explanation:

A dictionary weighs 6 pounds each and a set of encyclopedias weighs 75 pounds. 20 dictionaries are shipped in each box. 2 set of encyclopedias are shipped in each box. A truck is loaded with 98 boxes of encyclopedias and 38 boxes of dictionaries. How much does the truck's load weigh? Correct Answer 19,260 pounds Weight of the dictionaries = 38 x 20 x 6 = 4560 pounds Weight of the encyclopedieas = 98 x 2 x 75 = 14700 pounds Total weight = 4560 + 14700 = 19260 pounds

Explanation:

How much longer in required to drive one mile at 60 miles/hour than at 100 miles/hour? Correct Answer 30 seconds Time required to drive one mile at 60 miles per hour = 1/60 hour = 1 minute = 60 seconds Time required to drive one mile at 100 miles per hour = 1/100 hour = 60 x 60/100 sec = 36 seconds Time difference = 60 - 36 = 24 seconds

Explanation:

A police man spots a mugger from a distance of 200 meters. As the police man starts chasing the mugger, the mugger also starts running. Given that the speed of the mugger is 10 km/h and that of the police man is 12 km/h, how far would have the mugger run before he is caught? Correct Answer 1 km Lets say the mugger ran for T hours before being caught. 200 meters = 0.2 km ATQ,  12T = 10T + 0.2 Or,   12T - 10T = 0.2 Or,    T = 0.1 hour So, he ran = 10T = 10 x 0.1 = 1 km.

Explanation:

Your company has an advertisement budget of BDT 50 million per quarter. Accounts show that during the first three quarters the company has spent BDT 10, 15, and 20 million respectively. How much should the company spend during the fourth quarter in order to maintain the average budget allocation? Correct Answer 155 million Total budget for a year = 4 x 50 = 200 million Budget spent in the first 3 quarters = 10 + 15 + 20 = 45 million Remaining budget to spent in the fourth quarter = 200 - 45 =  155 million

Explanation:

A garments factory employs 3 categories of workers K, M and N. The efficiency of the 3 categories of workers to do a specific task is in the ratio of 3 : 5 : 6 respectively and the factory employs 15 of category K, 12 of category M and 3 of category N. If the total wages paid to the entire group of 30 workers is Tk. 492 per hour, what will be the wages earned by a category N worker for an 8-hour day? Correct Answer Tk. 72 Let, efficiency of K,M,N = 3x,5x & 6x So, efficiency of 15 (k) ,12(M) & 3(N) worker respectively 45x,60x & 18x Ratio = 45x:60x:18x = 15:20:6 , 3 worker of category N got in 1 hr = 6/(15 + 20 + 6) = 6/41*492 = 72, 3 wrker 1 hour = 72 tk , 1 worker 1 hour = 72/3 = 24 tk 1 worker 8 hour = 24*8 = 192 tk

Explanation:

If 3m/3n=81, then which of the following values of m and n is correct? Correct Answer m=10, n=13 3m/3n  = 81 Or, 3m - n  = 34 Or,  m - n = 4 So,  m = 63, n = 59

Explanation:

Two tanks are filled to capacity with automobile fuel. The first tank holds 600 gallons more than the second tank. If 100 gallons were to be pumped from each tank, the first tank would then contain 3 times as much fuel as the second tank. What is the total number of gallons of fuel in the two full tanks? Correct Answer 1,400   1st tank holds = a gallons  2nd tank holds = a + 600 gallons    100 gallons pumped out so a + 600 - 100 = (a - 100)*3 a = 400 1st tank holds = 400 gallons  2nd tank holds = 1000 gallons  1st tank + 2nd tank = 1400 gallons (ans)

Explanation:

The length of rectangle is increased by 20% and the width is decreased by 20% . What is the percentage increase or decrease of the area of the rectangle . Correct Answer decreased by 20% We can let L = the original length and W = the original width  Thus, the original area of the rectangular is LW and the new area is 1.2L× 0.8W = 0.96LW So, the area is decreased by 4%

Explanation:

On a trip of 200 miles, a man travels at the rate of 40 miles per hour for the first 100 miles. For the rest of the trip, he travels at the rate of 55 miles per hour . What is his average speed, in miles per hour, for the total trip ? Correct Answer 400/9 Total time spent = 100/40 + 100/55 = 5/2 + 20/11 = 95/22 hours Average speed = 200 / (95/22) = 200 x 22 / 95 =   880/19 miles per hour

Explanation:

In how many ways can a subcommittee of four persons be formed from amongst four women and six men so that one particular man is always included ? Correct Answer 126 Total persons = 4 + 6 = 10 Possible ways =  10 - 1C4 - 1 = 9C3 = 84.

Explanation:

জ্বালানি তেলে মূল্য ২৫% বৃ্দ্ধি পাওয়ায় বাসের টিকিটের মূল্য ও একই হারে বৃদ্ধি পেল। পুরানো ও নতুন বাস ভাড়ার অনুপাত কত? সঠিক উত্তর ৪ : ৫ ধরি, পুরানো বাস ভাড়া = ১০০ টাকা তাহলে, নতুন বাস ভাড়া = ১২৫ টাকা এখন, অনুপাত, পুরানো বাস ভাড়া ঃ নতুন বাস ভাড়া = ১০০ ঃ ১২৫ = ২৫÷৪ ঃ ২৫ ÷ ৫ = ৪ ঃ ৫

Explanation:

একজন লোক সপ্তাহে ৪৫০০ টাকা আয় করেন এবং ৩০০০ টাকা ব্যয় করেন। তার আয়ের সাথে সঞ্চয়ের অনুপাত হবে- সঠিক উত্তর ৩ : ১ সঞ্চয় = ৪৫০০ - ১৫০০ টাকা ∴ আয় ⦂ সঞ্চয় = ৪৫০০⦂১৫০০ = ৩⦂১

Explanation:

In takes Russel 20 minutes to inspect a car and Sohel needs 18 minutes to inspect a car. They both start inspecting cars separately at 8.00 A.M. At certain points of time, both of them will finish inspecting a car at the same time. When will this occur for the time? Correct Answer 11.00 A.M. The least common multiple of 20 and 18 is 180. So, they will finish inspecting cars 180 minutes after starting. Now, 180 minutes = 3 hours So, 8 am + 3 hours = 11 am.

Explanation:

In the Excel Manufacturing Company, 46 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of them are men, what percent of the non-unionized workers are women? Correct Answer 90% Lets say there are total 100 employees Then men = 46 & women = 54 Unionized Emp = 60 & non unionized emp = 40 Men Unionized = .7 * 60 = 42 Women Unionized = 18 Women non - unionized = 54 - 18 = 36 Percentage of Women non unionized = 36/40 * 100 = 90% ans: 90%

Explanation:

A dealer owns a group of cars and motorcycles. If the number of tires (excluding spare tires) on the vehicles is 30 more than twice the number of vehicles and the number of cars is 10 more than the number ofmotorcycle, then the number of cars the dealer owns is --- Correct Answer 15  let, We have m + c vehicles and 2m + 4c tires. We're told that 2m + 4c = 2(m + c) + 30. Solving, we get c = 15. ans: 15

Explanation:

A man buys some shirts and some ties. Shirts cost Tk. 7 each and the ties cost Tk. 30 each. If the man spends exactly Tk. 810 and buys the maximum number of shirts possible under these conditions, what is the ratio of shirts to ties? Correct Answer 3 : 2 We can create the equation: 7S + 3T = 81 or,7S = 81 - 3T or,7S = 3(27 - T) or,S = 3(27 - T)/7 The greatest value of S will be obtained when T is as small as possible. The smallest value of T which produces a number divisible by 7 after substitution is 6, so when T is 6 we have: S = 3(21)/7 = 9 So, the ratio of S to T is 9 : 6 = 3 : 2.

Explanation:

If x>0 and x+y>0, which of the following must be true? Correct Answer y>0 এখানে X এর মান 0 থেকে বড়। সুতরাং X এর চিহ্ন সবসময় পজেটিভ(+) হবে।অন্যদিকে, দুইটি সংখ্যার যোগফল পজেটিভ(+) তখনই হবে, যখন দুইটি সংখ্যা উভয়ই পজেটিভ(+) হবেযেহেতু X এর চিহ্ন পজেটিভ(+), সুতরাং Y এর চিহ্ন অবশ্যই পজেটিভ(+) হবে এবং Y এর মান 0 থেকে বড় হবে।সেজন্য, Y>0

Explanation:

Find the average of all whole numbers between 1 and 100 that end in 3 . Correct Answer 44 The numbers are 3, 13, 23.33.......93 So difference between each number is same. This series in AP. The avarage formula for AP is (first + last term)/2 Therefore the answer is (3 + 93)/2 = 48.

Explanation:

A number is selected at random from 40 to 59 inclusive . What is the probability that the number is prime number ? Correct Answer 3/11 Total number of numbers = 59 - 40 + 1 = 20 Prime numbers : 41, 43, 47, 53, 59 = 5 in total So, the probability = 5/20 =  1/4

Explanation:

If a : b = 3 : 4 and b : c = 6 : 7, then a : b : c = ? Correct Answer 9 : 12 : 14 a : b = 3 : 4 = (3 x 3) : (4 x 3) = 9 : 12 b : c = 6 : 7 = (6 x 2) : (7 x 2) = 12 : 14 So,  a : b : c = 9 : 12 : 14

Explanation:

A book is originally priced at BDT 900, but marked down by 30%. Again when the actual sales occurs a discount of 10% is offered on the marked price, what is the final sales price in BDT? Correct Answer 360 At 30% discount, marked down price = 70% of 900 = 630 BDT. Another 10% discount on marked price = 10% of 900 = 90 BDT Final sale = 630 - 90 = 540 BDT.

Explanation:

Homaira bought equal number of 20-paisa and 30-paisa chocolates. If the total cost of the chocolates was Tk. 10, what was the total number of chocolates that Homaira bought? Correct Answer 25 Lets say, she bought X number of chocolates each. 10 TK. = 1000 paisa ATQ, 20X + 30X = 1000 Or,  50X = 1000 Or,   X = 20 So, the total number of chocolates = X + X =  40.

Explanation:

Of the books standing in a row on a shelf, an atlas is the 30th book from the left and the 33rd book from the right. If 2 books to the left of the atlas and 4 books to the right of the atlas are removed from the shelf, how many books will be left on the shelf? Correct Answer 56 Number of books on the self = 30 + 33 - 1 = 62 If 2 + 4 = 6 books are removed, Number of remaining books = 62 - 6 =  56.

Explanation:

A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in 1997 were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996? Correct Answer 1 : 2 Let us say that the revenues from selling cars was  100x and from trucks was 100y in 1996, total revenue: 100x + 100y Revenue in 1997: from cars =   89x  and trucks = 107y total revenue = 89x + 107y = 101x + 101y Solving the above total revenue equation we get: 12x = 6y  or,x/y = 1/2 ∴x:y = 1:2

Explanation:

In 1995 a certain store had 1,800 tools in stock that had been purchased for Tk. 30 each. If 1,000 of these tools were sold in 1995 for Tk. 40 each and the remaining 800 were sold in 1996 for Tk. 50 each, how much greater was the gross profit on the tools sold in 1996 than of 1995? Correct Answer Tk. 6,000 Cost of 1000 tools = 30 x 1000 = 30000 TK. Cost of 800 tools = 30 x 800 = 2400 TK. Sell in 1995 = 40 x 1000 = 40000 TK Profit in 1995 = 40000 - 30000 = 10000 TK. Sell in 1996 = 50 x 800 = 40000 TK. Profit in 1996 = 40000 - 24000 = 16000 TK. Gross profit difference = 16000 - 10000 = 6000 TK.

Explanation:

Mr. Rahman is insured completely for Tk. 50,000 of damages to his machinery. For any damage above Tk. 50,000 the insurance company will pay Tk. 50,000 plus 20% of the rest of the damage amount. For a recent accident, Mr. Rahman was paid Tk. 56,000 by the insurance company. What was the total amount of the damage estimated? Correct Answer Tk. 80,000 Insurance paid above limit = 56000 - 5000 = 6000 20% damage above limit = 6000 So, 100% damage above limit = 6000 x 100 / 20 = 30000 So, the total damage estimated = 50000 + 30000 = 80,000 TK.

Explanation:

A train travelling at 50 miles/hr is 5 miles from the station at 5:00 pm. When will the train arrive at the station? Correct Answer 5:06 pm Time required to travel 5 miles = 5/50 = 1/10 hr = 6 minutes. Time of arrival = 5:00 m + 6 minutes = 5:06 pm

Explanation:

A college has raised 75% of the amount it needs for a new building by receiving an average donation of $60 from the people already solicited. The people already solicited represent 60% of the people the college will ask for donation. If the college is to raise exactly the amount needed for the new building, how much must the remaining people donate per person? Correct Answer $ 30 Let the required donation per persion be D. People remaining to be solicited = 100 - 60 = 40% Funds remaining to receive = 100 - 75 = 25% ATQ,   (D x 40%) / ($60 x 60%) = 25% / 75% or,  D = 25% x ($60 x 60%) / (75% x 40%) = $30

Explanation:

Mr. Rahman is insured completely for Tk. 50,000 of damages to his machinery. For any damage above Tk. 50,000 the insurance co. will pay Tk. 50,000 plus 20% of the rest of the damage amount. For a recent accident, Mr. Rahman was paid Tk. 56,000 by the insurance co. What was the total estimated damage? Correct Answer Tk. 80,000 প্রশ্নমতে, 50000 টাকার অতিরিক্ত ক্ষতিপূরণ প্রদান করেছিল = 56,000 - 50,000 = 6,000 টাকা     এখন, 20% ক্ষতির সমমূল্য = 6,000 টাকা      100% ক্ষতির সমমূল্য =  100×600020">100×600020  = 30,000 টাকা    মোট ক্ষতির পরিমাণ = (50,000 + 30,000)                              = 80,000 টাকা ।

Explanation:

Two whole numbers whose sum is 64, cannot be in the ratio : Correct Answer 3 : 4 The sum of their ratios must be a divisor of 64 i.e 1,2,4,8,12,16, 32 and 64. But,  3 + 4 = 7 which is not one of the divisors. So, the two numbers cannot be in this ratio 3:4.

Explanation:

A father's age was 5 times his son's age 5 years ago and will be 3 times son's age after 2 years. The ratio of their present ages is- Correct Answer 10 : 3 let, the present ages of the son and the father are a and b, respectively. The age of the father 5 years ago was five times the age of his son. a - 5 = 5(b - 5) or, a – 5 = 5b - 25 ∴ 5b - a = 20 - - - - - - - - - (1)   2 years hence, the father’s age will be thrice that of his son. a + 2 = 3(b + 2) or, a + 2 = 3b + 6 ∴ a – 3b = 4 - - - - - - - - - - - - (2)   On adding (1) and (2), we get: 2b = 24 ∴b = 12 Substituting b = 12 in equation (2), we ge, a = 40 Ratio of their present ages = a:b = 40:12 = 10:3 ans: 10:3