mathematics MCQs
Showing 50 questions (Total: 16798)
The length, width, and depth of a rectangular box are 6 feet, 5 feet, and 7 feet, respectively, A pipe supplies water at a rate of 6 cubic feet per minute. How much time, in minutes, would it take for the pipe to fill a conical box whose volume is three times the volume of the rectangular box?
Correct Answer:
A: 105
Explanation:
The length, width, and depth of a rectangular box are 6 feet, 5 feet, and 7 feet, respectively, A pipe supplies water at a rate of 6 cubic feet per minute. How much time, in minutes, would it take for the pipe to fill a conical box whose volume is three times the volume of the rectangular box? Correct Answer 105 Volume of the box = 6×5×7 So, there time the volume = 3×6×5×7 6 cubic feet filled in 1 minutes So, 3×6×5×7 in 1 minutes = (6×5×7×3)/6 = 105 minutes
When a commodity is sold for Tk. 34.80, there is a loss of 2%. What is the cost price of the commodity ?
Correct Answer:
A: Tk. 26.10
Explanation:
When a commodity is sold for Tk. 34.80, there is a loss of 2%. What is the cost price of the commodity ? Correct Answer Tk. 26.10 Hints : Sell price = 34.80; loss = 2% Cost price = 100 × 34.80/98 = 35.51 TK [NOTE : Correct answer TK. 35.51 ]
In a school, 10% of the boys are some in number as 1/4th of the girls. What is the ratio of boys to girls in that school ?
Correct Answer:
D: 5:2
Explanation:
In a school, 10% of the boys are some in number as 1/4th of the girls. What is the ratio of boys to girls in that school ? Correct Answer 5:2 Hints : 10% of boy = 10/100 of boy = 1/4 of girl boy/girl = 100/10 × 4 = 5/2 = 5 : 2
The ratio of the father's age to his son's age is 7:3. The product of their ages is 756. The ratio of their ages after 6 years will be :
Correct Answer:
A: 2:1
Explanation:
The ratio of the father's age to his son's age is 7:3. The product of their ages is 756. The ratio of their ages after 6 years will be : Correct Answer 2:1 Hints : Let their age be 7x and 3x Now, 7x × 3x = 756 x2 = 756/7 × 3 = 36 x = 6 After 6 year the ratio would be = 7x + 6/3x + 6 = 7 × 6 + 6/3 × 6 + 6 = 2/1 = 2 : 1
Which of the following cannot be a value of 1/x-1?
Correct Answer:
Correct Answer:
A man walks down the road for half an hour at an average speed of 3 miles per hour. He waits 10 minutes for a bus, which him back to his starting point at 3 : 15. If the man began his walk at 2 : 25 the same afternoon, what was the average speed of the bus?
Correct Answer:
D: 9 mph
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years ?
Correct Answer:
C: 2:3
Explanation:
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years ? Correct Answer 2:3 Hints : Let the principle be P and rate of interest be R% Required ratio = P × R × 6/100 /P × R × 9/100 = 6PR/9PR = 2/3 = 2 : 3
The ages of A and B are in the ratio of 8 : 5. If the sum of their ages is 39 years, what will be the ratio of their ages after 9 years?
Correct Answer:
D: 11 : 8
In what ratio must a grocer mix two varieties of pulses costing Tk. 15 and Tk. 20 per kg respectively so as to get a mixture worth Tk.16.50 per kg ?
Correct Answer:
C: 7:3
Mr. Bakhtiar works in the procurement department of a library. Under a new purchase policy, he increased the total number of books in the library by 20%. But soon afterwards, as part of the library cleaning process, 10% of the total library book stock is disposed of. What is the net change over the initial number of books in the library ?
Correct Answer:
D: none of these
In a certain English class, 1/4 of the number of girls is equal to 1/6 of the total number of students. What is the ratio of the number of girls in the class?
Correct Answer:
C: 1 : 2
A man's expenditure on food is 3/5 of his expenditure on clothes; find the ratio between his expenditure on food and cloth.
Correct Answer:
B: 3 : 5
The persent ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teacher?
Correct Answer:
A: 15
Explanation:
The persent ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teacher? Correct Answer 15 ধরি, বর্তমান ছাত্র সংখ্যা 30x শিক্ষক সংখ্যা x শর্তমতে, ( 30x + 50) : ( x + 5) = 25/1 (30x + 50) / (x + 5) = 25/1 30x + 50 = 25x + 125 5x = 75 x = 15
If x=1-q and y=2q+1, then for what value of q,x is equal to y ?
Correct Answer:
Correct Answer:
Explanation:
If x=1-q and y=2q+1, then for what value of q,x is equal to y ? Correct Answer x = 1 - q এবং y = 2q + 1 1 - q = 2q + 1 2q + q = 1 - 1 3q = 0 q = 0
If A/2=B/3=C/4, then A : B : C=?
Correct Answer:
A: 2 : 3 : 4
If x/5=y/8, then (x+5) : (y+8) is equal to :
Correct Answer:
D: 5 : 8
Explanation:
If x/5=y/8, then (x+5) : (y+8) is equal to : Correct Answer 5 : 8 "x5 = y8 বা, x = 5y 8 এবং y = 8x5 এখন, x + 5 : y + 8 = x + 5y + 8 = x + 58x5 + 8 = x + 58x + 405 = (x + 5) × 5(x + 5)8 = 88 5 :8
In a cricket championship tournament, Team Dhaka has won 30 games out of 50 played. It has 45 more games to play. In order. In order to maintain an average of 80% victory rate, team Dhaka has to win how many games?
Correct Answer:
A: 24
Explanation:
In a cricket championship tournament, Team Dhaka has won 30 games out of 50 played. It has 45 more games to play. In order. In order to maintain an average of 80% victory rate, team Dhaka has to win how many games? Correct Answer 24 Hints: Total games = 50 + 45 = 95 80% of 95 = 80/100× 95 = 76 Therefore they need more win = 76 - 30 = 46 games
The production cost of one unit of an item is Tk. 10. The item can be sold for a price of Tk. 16. The company further incurs a cost of Tk. 10,000 in the selling process. How many units of the product should be sold for the company to earn a profit of Tk. 50,000 ?
Correct Answer:
D: 10000
The sum of two numbers is 40 and their difference is 4. The ratio of the numbers is :
Correct Answer:
B: 11:9
If X is 2/5 of Y and is 5/7 of Z,what is the ratio of Z : X?
Correct Answer:
D: 7 : 2
Find the ratio of purchase price to sell price if there is loss of 12.5% ?
Correct Answer:
B: 8:7
Explanation:
Find the ratio of purchase price to sell price if there is loss of 12.5% ? Correct Answer 8:7 12.5% ক্ষতিতে বিক্রয়মূল্য ( 100 - 12.5) = 87.5 টাকা ক্রয়মূল্য ঃ বিক্রয়মূল্য = 100 : 87.5 = 1000 : 875 = 8 : 7
A can complete a project in 20 days and B can complete the same project in 30 days. A and B start working on the project together and A quits 10 days before the project is expected to be completed. How many days in total will the project take to complete ?
Correct Answer:
B: 18 days
Explanation:
A can complete a project in 20 days and B can complete the same project in 30 days. A and B start working on the project together and A quits 10 days before the project is expected to be completed. How many days in total will the project take to complete ? Correct Answer 18 days 1 দিনে A ও B একত্রে করে ( 1/20 + 1/30) = 1/12 অংশ B 10 দিনে করে 10/30 অংশ = 1/3 অংশ অবশিষ্ট ( 1 - 1/3) = 2/3 অংশ A ও B একত্রে 1/12 অংশ করে 1 দিনে A ও B একত্রে 1 অংশ করে = ( 12 ×1) দিনে A ও B একত্রে 2/3 অংশ করে = 12 × 2 /3 = 8 দিনে মোট সময় লাগে ( 10 + 8) দিন = 18 দিন
If A:B = 3:4, C:B= 5:4, C:D=10:9 then A:B:C:D is -
Correct Answer:
C: 6:8:10:9
Explanation:
If A:B = 3:4, C:B= 5:4, C:D=10:9 then A:B:C:D is - Correct Answer 6:8:10:9 A: B = 3 : 4 = ( 3 × 4) : ( 4 × 4) = 12 : 16 C : B = 5 : 4 = ( 5 × 4) : ( 4 × 4) = 20 : 16 C : D = 10 : 9 = ( 10 × 2) : ( 9 × 2) = 20 : 18 A : B : C : D = 12 : 16 : 20 : 18 = 6 : 8 :10 : 9
The speeds of three cars are in the ratio 2 : 3 : 4. The ratio of the times taken by these cars to travel the same distance is ----
Correct Answer:
C: 6 : 4 : 3
Explanation:
The speeds of three cars are in the ratio 2 : 3 : 4. The ratio of the times taken by these cars to travel the same distance is ---- Correct Answer 6 : 4 : 3 ধরি, ১ ম গাড়িটির গতিবেগ 2x km/hr ধরি, ২ ম গাড়িটির গতিবেগ 3x km/hr ধরি, ৩ ম গাড়িটির গতিবেগ 4x km/hr এর দূরত্ব P km গাড়িগুলোর প্রয়োজনীয় সময়ের অনুপাত = Px:P3x:P4x = 12:13:14 = (12×12):(13×12):(14×12) = 6 : 4 : 3
which of the following cannot be expressed as the sum of two or more consecutive positive integers?
Correct Answer:
A: 17
Explanation:
which of the following cannot be expressed as the sum of two or more consecutive positive integers? Correct Answer 17 no power of two can be expressed as the sum of two or more consecutive positive integers. এখানে 25 = 32
Shajib takes 3 minutes to inspect a car, and Rajib takes 4 minutes to inspect a car. If they both start inspecting different cars at 8:30 AM, what would be the ratio of the number of cars inspected by Shajib and Rajib by 8 : 54 Am of the same day?
Correct Answer:
D: 4 : 3
Explanation:
Shajib takes 3 minutes to inspect a car, and Rajib takes 4 minutes to inspect a car. If they both start inspecting different cars at 8:30 AM, what would be the ratio of the number of cars inspected by Shajib and Rajib by 8 : 54 Am of the same day? Correct Answer 4 : 3 8: 54 Am এবং 8:30 AM এর মধ্যে duration = 54 - 30 = 24 minutes ∴ তাদের ratio = 243244 = 4:3
A watch which gains 5secons in 3 minutes was set a 7am. In the afternoon of the same day when the true time is 1pm,the watch will indicate-
Correct Answer:
B: 1 : 10 pm
In an election, 30% of the voters voted for candidate A whereas 60% of the remaining voted for candidate B. The remaining voters did not vote. If the difference between those who voted for candidate A and those who did not vote was 1200, how many individuals were eligible for casting vote in that election ?
Correct Answer:
C: 60,000
Explanation:
In an election, 30% of the voters voted for candidate A whereas 60% of the remaining voted for candidate B. The remaining voters did not vote. If the difference between those who voted for candidate A and those who did not vote was 1200, how many individuals were eligible for casting vote in that election ? Correct Answer 60,000 ধরি, মোট ভেটারের সংখ্যা x A প্রার্থীর প্রদেয় ভোটারের সংখ্যা ( 30% of x) = 30x/100 = 3x/10 B প্রার্থীর প্রদেয় ভোটারের সংখ্যা ( x - 3x/10) × 60 /100 = 21x /50. ভোট দেয়নি তাদের সংখ্য = ( x - 3x/10 - 21x/50) = 50x - 15x - 21x/50 = 14x/50 = 7x/25 3x/10 - 7x/25 = 1200 15x - 14x /50 = 1200 x/50 = 1200 x = 60000
The average wage of a worker during a fortnihgt comprising 15 consecutive working days was Taka 90 per day. During the first 7 days, his average wage was Taka 87 per day and the average wage during the last 7 days was Taka 92 per day. What was his wage on the 8th day ?
Correct Answer:
D: 97
Explanation:
The average wage of a worker during a fortnihgt comprising 15 consecutive working days was Taka 90 per day. During the first 7 days, his average wage was Taka 87 per day and the average wage during the last 7 days was Taka 92 per day. What was his wage on the 8th day ? Correct Answer 97 15 দিনের কাজের মোট বেতন ( 15 × 90) = 1350 টাকা ১ম 7 দিন ও শেষ 7 দিনের কাজের মোট বেতন ( 7 × 87 + 7 × 92) = 609 + 644 = 1253 টাকা। অষ্টম দিনের কাজের বেতন ( 1350 - 1253) টাকা = 97 টাকা
One year ago, Pinky was four times as old as her daughter Soma. Six years hence, Pinky's age will exceed her daughter's age by 9 years. The ratio of the present ages of Pinky and her daughter is :
Correct Answer:
C: 13:4
A, B, and C enter into a partnership in the ratio 7/2: 4/3: 6/5 .After 4 Months , A increase his share by 50% . If the total profit at the end at one year is Tk. 21,600 , then what is B's share in the profit?
Correct Answer:
A: Tk.400
Explanation:
A, B, and C enter into a partnership in the ratio 7/2: 4/3: 6/5 .After 4 Months , A increase his share by 50% . If the total profit at the end at one year is Tk. 21,600 , then what is B's share in the profit? Correct Answer Tk.400 Ratio of initial investments = 72:43:65 = 105:40:36 Let, the initial investments be 105x,40x and 36x ∴A:B:C = 105×4 + 150100×105x×8:40x×12:36x×12 = 1680x:480x:432x = 35:10:9Hence, B's share216001054 = 4000 Tk.
If 60% of A = 3/4 of B, then A : B is -----
Correct Answer:
C: 5 : 4
Explanation:
If 60% of A = 3/4 of B, then A : B is ----- Correct Answer 5 : 4 60% of A = 34 of B ⇒60100×A = 34×B ⇒35×A = 34×B ⇒AB = 1512 ⇒AB = 54 ∴ A: B = 5 : 4
A toy store regularly sells all stock at a discount of 20 percent to 40 percent. If an additional 25 percent were deducted from the discount price during a special sale , what would be the lowest possible price of a toy costing TK. 16 before any discount ?
Correct Answer:
B: TK. 7.20
Explanation:
A toy store regularly sells all stock at a discount of 20 percent to 40 percent. If an additional 25 percent were deducted from the discount price during a special sale , what would be the lowest possible price of a toy costing TK. 16 before any discount ? Correct Answer TK. 7.20 Let cost price(CP) of toy is 100 tk And maximum profit 40% Selling price at 40% discount is 100 - 40 = 60 tk Selling price (SP) After Another additional 25% discount is 60 - 25% of 60 = 60 - 15 = 45 Now If CP is 100tk then possible SP is 45tk " " " 16tk " " " is (45×16)/100 = 7.2 tk Ans. 7.2tk
What is the value of (m+n)^2 - (m-n)^2 ?
Correct Answer:
A: m^2
Explanation:
What is the value of (m+n)^2 - (m-n)^2 ? Correct Answer m^2 ‘পয়জার’ শব্দের অর্থ জুতো, পাদুকা। এটি ফারসি ভাষা থেকে এসেছে।
If the length and width of a rectangular garden plot were each increased by 20 percent, what would be the percent increase in the area of the plot ?
Correct Answer:
A: 20%
Explanation:
If the length and width of a rectangular garden plot were each increased by 20 percent, what would be the percent increase in the area of the plot ? Correct Answer 20% মুক্তির গান তারেক মাসুদ ও ক্যাথরিন মাসুদ পরিচালিত মুক্তিযুদ্ধভিত্তিক বাংলা প্রামাণ্য চিত্র। ছবিটি মুক্তি পায় ১৯৯৫ সালে। ১৯৭১ সালে মার্কিন চলচ্চিত্র নির্মাতা লিয়ার লেভিন কর্তৃক বাংলাদেশের স্বাধীনতা যুদ্ধের সংগৃহিত ফুটেজ ও নিজেদের প্রচেষ্টায় প্রাপ্ত উপাদান দ্বারা ফিল্মটি নির্মাণ করেন।
Samad was planning on depositing a certain amount of money each month into a bank. He then decided not to make any contributions during May and June. To make the same annual contribution that he had originally planned, by what percent should he increase his monthly deposits?
Correct Answer:
B: 20%
Explanation:
Samad was planning on depositing a certain amount of money each month into a bank. He then decided not to make any contributions during May and June. To make the same annual contribution that he had originally planned, by what percent should he increase his monthly deposits? Correct Answer 20% Let, amount of monthly deposit is Tk. 100 Amount of yearly deposite = 12×100 = Tk. 1200 In 10 month amount of deposit Tk. 1200 In 1 month amount of deposit Tk. 1200/10 = 120 Percentage increase in monthly deposit = 120 - 100 = 20 %
Arif in now 5 times as old as Babu, but 7 years from now he will be 3 times as old as Babu. How old is Arif now?
Correct Answer:
A: 7
Explanation:
Arif in now 5 times as old as Babu, but 7 years from now he will be 3 times as old as Babu. How old is Arif now? Correct Answer 7 ধরি, Babu - র বয়স x বছর ∴ এর বছর 5x ,, ∴ (5x + 7) = 3 (x + 7) ⇒ 5x + 7 = 3x + 21 ⇒ 5x - 3x = 21 - 7 ⇒ x = 142 ∴ x = 7 ∴ Babu - র বয়স 7 বছর Arif - এর ,, (7×3) = 35 বছর
A barge, when empty, travels twice as fast as when it is full. If it travels 20 miles north with a cargo , spends 30 minutes for unloading, and returns to its original port empty . completing the entire trip in 8 hours, what is the speed of the barge when it is empty?
Correct Answer:
A: 8 mph
Explanation:
A barge, when empty, travels twice as fast as when it is full. If it travels 20 miles north with a cargo , spends 30 minutes for unloading, and returns to its original port empty . completing the entire trip in 8 hours, what is the speed of the barge when it is empty? Correct Answer 8 mph unloading time = 30 minutes Then total travelled time = 8 hrs - 30 minutes = 7hr. 30min = 15/2 hr Lets, assume the velocity of loaded barge be x Now, Disatance/ velocity of empty barge + distance/ velocity of loaded barge = 15/2 hrs 20/2x + 20/x = 15/2 or, 20 + 40 = 15x or, x = 4 kmph Velocity of empty barge = 8 kmph
In dividing a number by 585, a student employed the method of short division. He divided the number successively by 5,9 and 13 (factors of 585) and got the remainders 4,8,12 respectively. If he had divided the number by 585, what would have been the remainder?
Correct Answer:
D: 584
Explanation:
In dividing a number by 585, a student employed the method of short division. He divided the number successively by 5,9 and 13 (factors of 585) and got the remainders 4,8,12 respectively. If he had divided the number by 585, what would have been the remainder? Correct Answer 584 ধরি, সংখ্যাটি x এবং successively ভাজক y, z and p ∴ x = 5y = 4 ………………………(1) y = 9z + 8 …………………(2) z = 13p + 12 ……………. (3) p = 1 হলে, z = 13×1 + 12 = 25 ∴y = 9×25 + 8 = 233 ∴x = 5×233 + 4 = 1169 এখন, 585)1169(1 585584
The population of a country doubled every 10 years from 1980 to 2010. What was the percent increase in population during the period ?
Correct Answer:
A: 100
Explanation:
The population of a country doubled every 10 years from 1980 to 2010. What was the percent increase in population during the period ? Correct Answer 100 ঢাকার কে এম দাস লেনের রোজগার্ডেনে এক কর্মী সম্মেলনে পূর্ব বাংলার বাঙালি প্রগতিশীল নেতা ও কর্মী ঢাকায় মিলিত হয়ে ১৯৪৯ সালের ২৩ জুন ‘আওয়ামী মুসলিম লীগ’ গঠন করেন। এ নবগঠিত দলের সভাপতি নির্বাচিত হন মওলানা আব্দুল হামিদ খান ভাসানী। সাধারণ সম্পাদক শামছুল হক এবং যুগ্ম সম্পাদক শেখ মুজিবুর রহমান। ১৯৫৫ সালের ২২ সেপ্টেম্বর দলটির নাম থেকে মুসলিম শব্দটি বর্জন করা হয়।
A solution that contains 20% sugar by weight is made sweeter by doubling the amount of sugar.The percent of sugar, by weight, in the new solution is --
Correct Answer:
A: 50%
Explanation:
A solution that contains 20% sugar by weight is made sweeter by doubling the amount of sugar.The percent of sugar, by weight, in the new solution is -- Correct Answer 50% lets say in a solution of 100 mg, 20% that is 20 mg is the sugar, so if it is doubled it will be 20*2 = 40 mg
when a truck travels at 60 miles per hour, it uses 30 percent more gasoline to travel andy distance than it does when it travels at 50 miles per hour. The truck can travel 20 miles on a gallon of gas if it is travelling at 50 miles per hour. The truck has only 10 gallons of gas and is 160 miles from its destination. It takes 20 minutes for the truck to stop for gas . How long will it take the truck to reach its final destination if it is driven at 60 miles per hour?
Correct Answer:
B: 180 minutes
Explanation:
when a truck travels at 60 miles per hour, it uses 30 percent more gasoline to travel andy distance than it does when it travels at 50 miles per hour. The truck can travel 20 miles on a gallon of gas if it is travelling at 50 miles per hour. The truck has only 10 gallons of gas and is 160 miles from its destination. It takes 20 minutes for the truck to stop for gas . How long will it take the truck to reach its final destination if it is driven at 60 miles per hour? Correct Answer 180 minutes 50 mph a truck need 1 gallon for travelling 20 miles. So, 60 mph a truck need 13 gasoline for travelling 20 miles because of consumption 30% higher. 160 miles will go 60 mph So, it's need 20 minute for taking extra 4 gallon. Therefore, total time = 160 + 20 = 180 minutes.
Ahmad has containers of two different sizes. The total capacity of 16 containers of one size is x gallons,and the total capacity of 8 containers of the other size is also x gallons , and x> 0. In terms of x , what is the capacity, in gallons, of each of the larger containers?
Correct Answer:
D: x/8
Explanation:
Ahmad has containers of two different sizes. The total capacity of 16 containers of one size is x gallons,and the total capacity of 8 containers of the other size is also x gallons , and x> 0. In terms of x , what is the capacity, in gallons, of each of the larger containers? Correct Answer x/8 প্রতিটি container হচ্ছে either smaller অথবা larger . প্রশ্নে বলা আছে eight large size containers make up × gallons, তাহলে প্রতিটি container অবশ্যাই 1/8 of this contain করতে হবে।
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 averages when it is driven 10 miles in the city and then 50 miles on the highway?
Correct Answer:
B: 36
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 averages when it is driven 10 miles in the city and then 50 miles on the highway? Correct Answer 36 গাড়িটি সিটিতে 25 মাইল যায় 1 ঘন্টায় ∴ ,, ,, 10 ,, ,, 1025 = 25 ঘন্টায় গাড়িটি highway - তে 40 মাইল যায় 1 ঘন্টায় ∴ ,, ,, 50 ,, ,, 5040 = 54 ঘন্টায় ∴ গাড়িটি 25 + 54 বা 3320 ঘন্টায় যায় (10 + 50) বা 60 মাইল ∴ ,, 1 ,, ,, ,, 60×2033 ,, = 36.36 ≈ 36
If n is any negative number, which of the following must be positive?
Correct Answer:
A: n/2
If an article is sold at 200 percent profit, then the ratio of its cost price to selling will be ----
Correct Answer:
D: 1 : 3
Explanation:
If an article is sold at 200 percent profit, then the ratio of its cost price to selling will be ---- Correct Answer 1 : 3 ধরি, ক্রয়মূল্য 100 টাকা ∴ profit (100 এর 200%) = (100 এর 200100) টাকা = 200 ∴ বিক্রয়মূল্য = (200 + 100) টাকা = 300 ∴ ক্রয়মূল্য : বিক্রয়মূল্য = 100 : 300 = 1 : 3
In dividing a sum of money, the eldest of three brothers got 2/5 th of it and the youngest got Tk 120. What was the total sum in Tk if the amount received by the other brother was 1/3rd of the total ?
Correct Answer:
A: 98
Explanation:
In dividing a sum of money, the eldest of three brothers got 2/5 th of it and the youngest got Tk 120. What was the total sum in Tk if the amount received by the other brother was 1/3rd of the total ? Correct Answer 98 Hints: মোট অংশ 1 হলে youngest পায় = ( 1 - 2/5 - 1/3) অংশ = . 226 অংশ তাহলে, 1 এর. 266 অংশ = 120 অংশ সম্পূর্ণ অংশ = 120 /. 266 = 451 টাকা সঠিক উত্তর নেই
A third of Karim's marks in Mathematics exceeds a half of his marks in Social Studies by 30, if Karim got 240 marks in the two subjects together, how many marks did he get in Social Studies ?
Correct Answer:
A: 88
Explanation:
A third of Karim's marks in Mathematics exceeds a half of his marks in Social Studies by 30, if Karim got 240 marks in the two subjects together, how many marks did he get in Social Studies ? Correct Answer 88 Hints: ধরি, . math mark = m, social studies = s 1/3 m = 1/2s + 30 এবং, m + s = 240 m = 240 - s তাহলে, 1/3(240 - s) = 1/2 s + 30 80 - s/3 = 1/2 s + 30 1/2s + s/3 = 80 - 30 3S + 2S / 6 = 50 5s = 300 S = 60 এখানে সঠিক উত্তর নাই
A salesman usaally makes 45% profit on every TV he sells. During a sale, he reduced his margin of profit to 40% and his sales increased by 10% . what is the ratio of his new profit to his usual profit?
Correct Answer:
D: 44: 45
Explanation:
A salesman usaally makes 45% profit on every TV he sells. During a sale, he reduced his margin of profit to 40% and his sales increased by 10% . what is the ratio of his new profit to his usual profit? Correct Answer 44: 45 Let, No. of Tv sells x and price of Tv is Tk. 100 Total profit = 45 × x = 45 x New sells = x + 10/100 x = 1.1x New profit = 40× 1.1 x = 44 x new profit /usual profit = 44x / 45x = 44/45 = 44 : 45
A particular carmaker sells four models of cars , and each model comes with 5 options. How many different types of cars does the carmaker sell?
Correct Answer:
A: 15
Explanation:
A particular carmaker sells four models of cars , and each model comes with 5 options. How many different types of cars does the carmaker sell? Correct Answer 15 প্রথম মডেল এর জন্য ৫টি অপশন। তাহলে এই মডেল এর জন্য ৫টি difference car type. দ্বিতীয় মডেল এর জন্য একই নাম্বর এর difference types of car. একইভাবে , বাকি দুই টাইপ এর মডেল তাহলে, 5 + 5 + 5 + 5 = 20 difference types