mathematics MCQs
Showing 50 questions (Total: 16798)
Of 30 applicants for a job, 14 had at least 4 years experience, 18 had degrees, and 3 had less than 4 years experience and did not have a degree. How many of the applicants had at least 4 years experience and a degree ?
Correct Answer:
A: 14
Explanation:
Of 30 applicants for a job, 14 had at least 4 years experience, 18 had degrees, and 3 had less than 4 years experience and did not have a degree. How many of the applicants had at least 4 years experience and a degree ? Correct Answer 14 ধরি, সংখ্যাটি x ∴ 13x - x = 180 ⇒ 12x = 180 ⇒ x = 18012 ∴ x = 15
The present 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 teachers ?
Correct Answer:
A: 5
Explanation:
The present 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 teachers ? Correct Answer 5 3.5 - এর শতকরায় প্রকাশ হচ্ছে (3.5 × 100)% = 350 %
If x:y = 5:3 then (8x-5y):(8x+5y) = ?
Correct Answer:
D: 5:11
Explanation:
If x:y = 5:3 then (8x-5y):(8x+5y) = ? Correct Answer 5:11 Hints: x/y = 5/3 8x/5y = 8 × 5/5 × 3 8x - 5y /8x + 5y = 40 - 15 / 40 + 15 = 25/58 = 5/11 = 5 : 11
Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 50% on clothing 20% on food, and 30% on other items. If Jill paids 4% tax on clothing , on tax on the food, and an 8% tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
Correct Answer:
B: 4.4%
Explanation:
Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 50% on clothing 20% on food, and 30% on other items. If Jill paids 4% tax on clothing , on tax on the food, and an 8% tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes? Correct Answer 4.4% Hints: ধরি, Jill মোট x টাকা ব্যয় করেছিল।জামা - কাপড়ে ব্যয় করে x2টাকাখাবারে ব্যয় করে x এর 20% = x×20100 = x5 টাকাঅন্যান্য খরচ = x এর 30% = x×30100 = 3x10টাকাজামা - কাপড়ে Tax দেয় = x2×4100 = x50 টাকাঅন্যান্য ব্যয়ের জন্য tax দেয় 3x10×8100 = 3x125 টাকা∴ Tax এর হার x50 + 3x125x×100% = 5x + 6x250x×100% = 11x250×x×100% = 4.4%
In the correctly worked addition problem shown, where the sum of the two-digit positive integers AB and BA is the three-digit integer AAC, and A, B, and C are different digits, what is the units digit of the integer AAC?
Correct Answer:
Correct Answer:
Explanation:
In the correctly worked addition problem shown, where the sum of the two-digit positive integers AB and BA is the three-digit integer AAC, and A, B, and C are different digits, what is the units digit of the integer AAC? Correct Answer দুই অঙ্ক বিশিষ্ট সংখ্যা (AB) এবং স্থান বিনিময়ের ফলে যে সংখ্যা (BA) পাওয়া যায় তাদের যোগফল তিন অঙ্ক বিশিষ্ট সংখ্যা (AAC) হবে। অর্থাৎ শতক ও দশকের স্থানে অবশ্যই A অঙ্কটি হবে। A = 1 B = 9 AB = 19, BA = 91 AB + BA = 19 + 91 = 110 AAC = 110
If a, b and c are constants, a>b>c, and x3-x=(x-a)(x-b)(x-c) for all numbers x, what is the value of b?
Correct Answer:
Correct Answer:
A survey of n people in the town of X found that 50% of them prefer Brand A. Another survey of 100 people in the town of Y found that 60% prefer Brand A. In total, 55% of all the people surveyed together prefer Brand A. What is the total number of people surveyed?
Correct Answer:
B: 200
Explanation:
A survey of n people in the town of X found that 50% of them prefer Brand A. Another survey of 100 people in the town of Y found that 60% prefer Brand A. In total, 55% of all the people surveyed together prefer Brand A. What is the total number of people surveyed? Correct Answer 200 প্রশ্নমতে, x শহরে Brand A পছন্দ করে 50% of n = 50/100×n = n/2 এবং, Y শহরে Brand A পছন্দ করে 60% of 100 = 60 জরিপে অংশগ্রহণকারী মোট people এর সংখ্যা ( n + 100) জন। প্রশ্নমতে, (n/2 + 60)/ ( n + 100) ×100 = 55 n/2 + 60 = 55/100 ( n + 100) (n + 120)/2 = ( 11n + 1100)/20 20n = 2400 = 22n = 2200 2n = 200 n = 100 সুতরাং, মোট জরিপকৃত people সংখ্যা = ( n + 100) = ( 100 + 100) = 200
At the rate of m meters per s seconds, how many meters does a cyclist travel in x minutes ?
Correct Answer:
A: m/sx
Explanation:
At the rate of m meters per s seconds, how many meters does a cyclist travel in x minutes ? Correct Answer m/sx 3 2 5 4 7 1 0 5 এর place value (স্থানীয় মান ) 5000
A worker is hired for 7 days. Each day, he is paid 10 Tk. more than what he is paid for the preceding day one work. The total amount he was paid in the first 4 days of work equaled the total amount he was paid in the last 3 days. What was his starting pay?
Correct Answer:
A: 90
Explanation:
A worker is hired for 7 days. Each day, he is paid 10 Tk. more than what he is paid for the preceding day one work. The total amount he was paid in the first 4 days of work equaled the total amount he was paid in the last 3 days. What was his starting pay? Correct Answer 90 প্রশ্নঅনুসারে, একজন শ্রমিককে ৭ দিনের জন্য ভাড়া করা হয় তাকে পূর্ববর্তী দিনের চেয়ে পরবর্তী প্রতিদিন ১০ টাকা বেশি প্রদান করা হয়। ধরি, starting payment ছিলো x টাকা 2nd day ( x + 10) , 3rd day ( x + 20) , 4th day ( x + 30) , 5th dya ( x + 40) , 6th day ( x + 50) , 7th day ( x + 60) টাকা প্রশ্নমতে, x + x + 10 + x + 20 + x + 30 = x + 40 + x + 50 + x + 60 4x + 60 = 3x + 150 x = 90
In a certain population, there are times as many people aged 21 or under as there are people over 21. The ratio of those 21 or under to the total population is :
Correct Answer:
A: 1 to 2
Explanation:
In a certain population, there are times as many people aged 21 or under as there are people over 21. The ratio of those 21 or under to the total population is : Correct Answer 1 to 2 Let the number of people over 21 years be x. Given that the number of people aged 21 or under = 3x So total population = 4x Required ratio = 3x : 4x = 3:4 So the answer choice is (e) 3 to 4.
Of 30 applicants for a job, 14 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree. How many of the applicants had at least 4 years experience and a degree?
Correct Answer:
A: 14
Explanation:
Of 30 applicants for a job, 14 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree. How many of the applicants had at least 4 years experience and a degree? Correct Answer 14 Process of elimination : 30 - 3 = 27; 27 - 14 - 18 = - 5 Then 5 are in the intersection between 4 years experience and degree.
70 students are enrolled in Management, Accounting and Marketing. 40 students are in Management, 35 are in Accounting, and 30 are in Marketing. 15 students are enrolled in all three courses. How many of the students are enrolled in exactly two of the courses?
Correct Answer:
B: 5
Explanation:
70 students are enrolled in Management, Accounting and Marketing. 40 students are in Management, 35 are in Accounting, and 30 are in Marketing. 15 students are enrolled in all three courses. How many of the students are enrolled in exactly two of the courses? Correct Answer 5 শুধু Accounting - এর ছাত্র (40 – 15) = 25 জন। শুধু Management , , (35 - 15) = 20 ,, Marketing (30 – 15) = 15 ,, তিনটি কোর্সই রয়েছে 15 জন ছাত্র Accounting, Management & Marketing - এর মােট ছাত্র সংখ্যা (25 + 20 + 15 + 15) = 75 জন। শুধুমাত্র দুটি subject - নেয় (75 – 70) = 5 জন।
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 office 4 minutes early. What is the distance in km between Rehana's house and her office?
Correct Answer:
B: 11.2
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 office 4 minutes early. What is the distance in km between Rehana's house and her office? Correct Answer 11.2 মনে করি, বাসা থেকেoffice - এর দূরত্ব = x km 8 মিনিট দেরি আর 4 মিনিট আগেই পৌঁছে যাওয়া অর্থাৎ দুই গতিবেগে মোট অতিক্রান্ত সময় (8 + 4) মিনিট = 12 মিনিট = 1260 = 15 ঘন্টা। আমরা জানি, time = DistanceSpeed প্রশ্নানুযায়ী, x7 - x8 = 15⇒8x - 7x56 = 15⇒5x = 56⇒x = 565 = 11·2 অর্থাৎ দূরত্ব = 11.2 km
In what ratio should a 20% methyl alcohol solution be mixed with a 50% methyl alcohol solution so that the resultant solution has 40% methyl alcohol in it?
Correct Answer:
A: 1 : 2
Explanation:
In what ratio should a 20% methyl alcohol solution be mixed with a 50% methyl alcohol solution so that the resultant solution has 40% methyl alcohol in it? Correct Answer 1 : 2 এটি একটি Frequently আসা অংক বিধায় শুধু Shortcut - টিই দেখানাে হলাে।
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 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:
C: Tk, 8,000
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 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 Tk, 8,000 Total profit = 19,100 Badrul পায় = Tk 9,600; ∴ Alim পায় = (19,100 - 9,600) = Tk.9,500. Alim - এর মোট investment এক মাসের হিসাবে = (40000 + 40000 + 15000) = 95000 Tk ∴ আমরা পাই, 9,500 Tk profit - এর জন্য 12 মাস এর হিসাবে ivestment 95000Tk ∴ 9,600 " " " " 12 " " " হবে 96000 Tk. অর্থাৎ Badrul এর মূল investment = 9600012 = 8000 Tk. অর্থাৎ Badrul 8000 Tk; 12 মাসের জন্য invest করেছিল।
A tea merchant blends 2 kinds of tea, putting in 3 parts of a Tk. 25 per kg grade to 1 part of a Tk. 15 per kg. If the mixture is changed to 1 part of the Tk. 25 per kg grade to 3 parts of the less expensive grade, how much will the shop lose or save in blending 200 kg?
Correct Answer:
D: save Tk. 1,000
Explanation:
A tea merchant blends 2 kinds of tea, putting in 3 parts of a Tk. 25 per kg grade to 1 part of a Tk. 15 per kg. If the mixture is changed to 1 part of the Tk. 25 per kg grade to 3 parts of the less expensive grade, how much will the shop lose or save in blending 200 kg? Correct Answer save Tk. 1,000 মোট চা 200 kg. 25 টাকা মূল্যের ও 15 টাকা মূল্যের দুই ধরনের চা প্রথম শর্তের অনুপাতের reverse হয় দ্বিতীয় শর্তে (3 : 1 ও 1 : 3) প্রথম শর্তে, 25 টাকা মূল্যের চা 34× 200 kg = 150kg 15 টাকা মূল্যের চা 14× 200 kg = 50kg সুতরাং দ্বিতীয় শর্তে, 25 টাকা মূল্যের চা 50 kg ও15 টাকা মূল্যের চা 150 kg প্রথম ক্ষেত্রে মোট মূল্য (150× 25 + 50 × 15) = 4500 টাকা দ্বিতী ,, ,, ,, (50 × 25 + 150 × 15) = 3500 টাকা ∴খরচ বাচবে (4500 - 3500) = 1000 টাকা সুতরাং লাভ (gain) হয় 1000 টাকা।
Certain number 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 girl hits a goal is 7/10 whereas the probability that 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:
D: 2/25
Explanation:
Certain number 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 girl hits a goal is 7/10 whereas the probability that 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 দেয়া আছে, একজন girl - এর goal করার সম্ভাব্যতা = 710 boy " " " " = 15 যেকোনো একজন দ্বারা " " " " = 25 ∴ আমরা জানি, দুটি event একসাথে ঘটার সম্ভাব্যতা হচ্ছে তাদের গুণফলের সমান। ∴ goal একজন ছেলে করবে এমন সম্ভব্যতা = 25×15 = 225
Two merchants each sell an article for Tk.1000. If Merchant a computes his profit on cost price, while Merchant B computer 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:
B: Tk. 50
Explanation:
Two merchants each sell an article for Tk.1000. If Merchant a computes his profit on cost price, while Merchant B computer 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 Tk. 50 দেয়া আছে, A ‘র profit হিসাব করা হয়েছে cost price - এর উপর। মনে করি, A - এর cost price = x Tk. প্রশ্নানুযায়ী, 125% of x = 100 ⇒125x100 = 1000 ⇒5x4 = 1000⇒x = 4×10005 = 800 Tk. A' র profit = (1000 - 800) = 200 Tk. ∴ B' র profit হিসাব করা হয় বিক্রয়মূল্যের উপর। B' র profit = (25% of1000) = 250 Tk. ∴ B' র profit বেশি হয় = (250 - 200) = 50 Tk.
The average of 6 numbers is 8.5, when one number is discarded the average of the remaining numbers becomes 7.2 . What is the discarded number ?
Correct Answer:
A: 7.8
Explanation:
The average of 6 numbers is 8.5, when one number is discarded the average of the remaining numbers becomes 7.2 . What is the discarded number ? Correct Answer 7.8 6 টি নাম্বার এর সমষ্টি ( 6×8.5) = 51 5 টি নাম্বার এর সমষ্টি ( 5 ×7.2) = 36 ( - ) বিয়োগ করে, = 15 Discarded সংখ্যাটি = 15
3.003/2.002 = ?
Correct Answer:
A: 1.05
Explanation:
3.003/2.002 = ? Correct Answer 1.05 3.003/2.002 = 3003/2002 = 1.5
A store has five shelves and average weekly sale is Tk. 30000. Shelf 1 accounted for 1/4 of the store's average weekly sales and shelves 2 and 3 each accounted for 2/3 as much as shelf 1. The shelf 4 alone accounted for as much as shelf 1, then which of the following could have been the average weekly sales of shelf 5 for the store?
Correct Answer:
C: Tk. 500
Explanation:
A store has five shelves and average weekly sale is Tk. 30000. Shelf 1 accounted for 1/4 of the store's average weekly sales and shelves 2 and 3 each accounted for 2/3 as much as shelf 1. The shelf 4 alone accounted for as much as shelf 1, then which of the following could have been the average weekly sales of shelf 5 for the store? Correct Answer Tk. 500 Shelves 2 and 3 each accounted for 14×23 = 16 of the stores average wekly sales. ∴ 1,2,3,4 সেলফের মোট বিক্রয় = 14 + 16 + 16 + 14 = 3 + 2 + 2 + 312 = 1012 মোট বিক্রয়ের 56 অংশ Weekly sales of shelf 5 = 1 - 56 = 16 অংশ মোট বিক্রয়ের 16 অংশ = 30,000×16 = 5,000 Taka.
What is the least integer that is a sum of three different primes each greater than 20 ?
Correct Answer:
A: 69
Explanation:
What is the least integer that is a sum of three different primes each greater than 20 ? Correct Answer 69 Three different primes each greater than 20 are 23, 29, 31 So, Sum = 23 + 29 + 31 = 83
A train travels from New York to Chicago, a distance of approximately 840 miles, at an average rate of 60 miles per hour and arrives in Chicago at 6:00 in the evening , Chicago time . At what hour in the morning, New York City time, did the train depart for Chicago time . At what hour in the morning , New York City time, did the train depart for Chicago ? ( Chicago time is one hour earlier than New York City time.)
Correct Answer:
B: 5 : 00
Explanation:
A train travels from New York to Chicago, a distance of approximately 840 miles, at an average rate of 60 miles per hour and arrives in Chicago at 6:00 in the evening , Chicago time . At what hour in the morning, New York City time, did the train depart for Chicago time . At what hour in the morning , New York City time, did the train depart for Chicago ? ( Chicago time is one hour earlier than New York City time.) Correct Answer 5 : 00 6:00 in evening in Chicago = 7:00 in evening in New York. So, the train was in Chicago 7:00 in the evening, New York time. The trip took T = D/R = 840/60 = 14 hours. Therefore, the train depart from New York at 7:00 - 14 hours = 5:00 in the morning, New York time.
At a particular moment, if the angle between the hour hand and the minute hand of a clock is 105 , what was the time by the clock at that time?
Correct Answer:
A: 6:20
Explanation:
At a particular moment, if the angle between the hour hand and the minute hand of a clock is 105 , what was the time by the clock at that time? Correct Answer 6:20 Hints: এখানে উত্তরে দেওয়া option গুলো এ দেয়া উত্তরগুলো check করতে হবে দ্রুত। কোনটিতেই 1050 নেই
Reza's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 is to 2 and the ratio of Indian to British stamps is 5 is to 1, what is the ratio of US to British stamps
Correct Answer:
B: 10:5
Explanation:
Reza's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 is to 2 and the ratio of Indian to British stamps is 5 is to 1, what is the ratio of US to British stamps Correct Answer 10:5 Hints: এখানে অনুপাত দুটিকে একটিতে বানাতে হবে। 5 : 2 কে 5 দিয়ে গুন করে পাই 25 : 10 একইভাবে 5 : 1 কে 2 দিয়ে গুন করে পাই 10 : 2 অনুপাত 25 : 10 : 2 so, the ratio of us to British stamp = 25 : 2
Two tanks A and B are filled with petrol. Tank A holds 600 liters more than B. If 100 liters of petrol were taken out from each tank, tank A would then contain 3 times as much petrol as tank B. What is the total number of liters of fuel in the two full tanks?
Correct Answer:
A: 1400
Explanation:
Two tanks A and B are filled with petrol. Tank A holds 600 liters more than B. If 100 liters of petrol were taken out from each tank, tank A would then contain 3 times as much petrol as tank B. What is the total number of liters of fuel in the two full tanks? Correct Answer 1400 Let, B has x litres, So A has (x + 600) litres Accordly to the question, (x + 500) = 3 (x - 100) ⇒ x + 500 = 3x – 300 ⇒ 800 = 2x ∴ x = 400 And total = 400 + 600 + 400 = 1400 litres.
A water tank with 64-gallon capacity is filled by pipe A and emptied by pipe B. If the rate of water flow through pipe A is 2 gallons per hour, how many gallons per hour should flow through pipe B so that when both pipes are open, the initially empty tank shold be full in exactly 96 hours?
Correct Answer:
B: 4/3
Explanation:
A water tank with 64-gallon capacity is filled by pipe A and emptied by pipe B. If the rate of water flow through pipe A is 2 gallons per hour, how many gallons per hour should flow through pipe B so that when both pipes are open, the initially empty tank shold be full in exactly 96 hours? Correct Answer 4/3 Let, x gallons per hour should flow through pipe B In 1 hour A flouss 2 gallons ∴,, 96 hour A ,, (96 × 2) ,, = 192 ,, So 192 – 96x = 64 ⇒ x = 192 - 64 96 = 43
If 18 is 15 percent of 30 percent of a certain number, what is the number ?
Correct Answer:
A: 9
Explanation:
If 18 is 15 percent of 30 percent of a certain number, what is the number ? Correct Answer 9 Let, the number = x x × 30% × 15% = 18 x = ( 18 × 100 × 100) /30×15 = 400
In a survey of the people in Dhaka, it was found that 65% of the people surveyed watched the news on television , 40% read a newspaper, and 25% read a newspaper and watched the news on television . What percent of the people surveyed neither watched the news on television nor read a newspaper ?
Correct Answer:
A: 0%
Explanation:
In a survey of the people in Dhaka, it was found that 65% of the people surveyed watched the news on television , 40% read a newspaper, and 25% read a newspaper and watched the news on television . What percent of the people surveyed neither watched the news on television nor read a newspaper ? Correct Answer 0% Watched the news on television Only = 65 - 25 = 40% read a newspaper only = 40 - 25 = 15% Total = 25 + 15 + 40 = 80% neither watched the news or neither television nor read a newspaper = (100 - 80)% = 20%
A department store receives a shipment of 1,000 shirts, for which it pays $9,000. The store sells the shirts at a price 80 percent above cost for one month, after which it reduces the price of the shirts to 20 percent above cost. The store sells 75 percent of the shirts during the first month and 50 percent of the remaining shirts afterward. How much gross income did sales of the shirts generate?
Correct Answer:
C: Tk 13500
Explanation:
A department store receives a shipment of 1,000 shirts, for which it pays $9,000. The store sells the shirts at a price 80 percent above cost for one month, after which it reduces the price of the shirts to 20 percent above cost. The store sells 75 percent of the shirts during the first month and 50 percent of the remaining shirts afterward. How much gross income did sales of the shirts generate? Correct Answer Tk 13500 1 টি shirt এর actual price = 90001000 = 9Tk প্রথম মাসের shirt এর দামে 80% above the cost = 9×80100 = 7.2 Tk 75% বিক্রি = 75100×1000 = 750 টি shirt বিক্রি তাহলে প্রথম মাসে earn = (7.2 + 9) × 750 = 12150 TK remaining shirt = (1000 - 750) = 250; এর 50% = 250×12 = 125 টি shirt এখন 20% above the cost এ প্রতি shirt এর price = 10.8 Tk দ্বিতীয় মাসে earn = 10.8 × 125 = 1350 Total = 1350 + 12150 = 13500 Tk
The number of flights leaving a certain airport doubles during every one-hour period between its 9 am opening and noon; afternoon, the number of flights leaving from the airport doubles during every two-hour period. If 4 flights left from the airport between 9 am and 10 am, how many flights left the airport between 2 pm and 4 pm?
Correct Answer:
D: 64
Explanation:
The number of flights leaving a certain airport doubles during every one-hour period between its 9 am opening and noon; afternoon, the number of flights leaving from the airport doubles during every two-hour period. If 4 flights left from the airport between 9 am and 10 am, how many flights left the airport between 2 pm and 4 pm? Correct Answer 64 9 টা থেকে noon অর্থাৎ 12টা পর্যন্ত flight সংখ্যা double হয় প্রতি 1 ঘণ্টায় । 9 টা থেকে 10 টায় ছুটি flight হলে 10 - 11 টায় 2x, 11 - 12 টায় 4x / Noori - এর পর প্রতি দুই ঘণ্টায় হয় দ্বিগুণ। 12 - 2 টায় ৪r 2টা থেকে 4টায় হয় 16x, তাহলে x = 4 দেওয়া আছে। সুতরাং ফ্লাইট সংখ্যা = 16x = 16 × 4 = 64
The distance between two stations, Dhaka and Chittagong is 450 km. A train starts at 5 pm from Dhaka and moves towards chittagong at an average speed of 60 km/hr. Another train starts from Chittagong at 4:20 pm and moves towards Dhaka at an average speed of 80 km/hr. At what time will the two trains meet?
Correct Answer:
A: 6:10 pm
Explanation:
The distance between two stations, Dhaka and Chittagong is 450 km. A train starts at 5 pm from Dhaka and moves towards chittagong at an average speed of 60 km/hr. Another train starts from Chittagong at 4:20 pm and moves towards Dhaka at an average speed of 80 km/hr. At what time will the two trains meet? Correct Answer 6:10 pm ধরি, 5 টার t hour পরে তারা meet করে। তখন 4.20 থেকে 5 টার পার্থক্য = 4060 = 23 hour তারা meet করার সময় মোট 450 km অতিক্রম করবে। তখন, বেগ = দঃূরত্ত্বসময় তাহলে, 60t + 80(t + 23) = 450 140t + 160/3 = 450 140t = 11906 t = 17/6 বা 2 hr 50 min পর তারা meet করবে। 5 + 2 hr. 50 min = 7.50 pm
In a survey, it was found that 65% of the people surveyed watched the news on television, 40% read it on newspaper, and 25% read a newspaper and watched the news on television. What percent of the people surveyed neither watched the news on television nor read a newspaper?
Correct Answer:
B: 20%
Explanation:
In a survey, it was found that 65% of the people surveyed watched the news on television, 40% read it on newspaper, and 25% read a newspaper and watched the news on television. What percent of the people surveyed neither watched the news on television nor read a newspaper? Correct Answer 20% Hints: দুই আলাদা % এর থেকে common 25% বিয়োগ দিয়ে result টি হবে যা অন্তত news অথবা paper দেখে। যারা দেখে না = 100 - ( 65 + 40 - 25) = 20%
Two equal glasses are respectively one-third and one-fourth full of milk. they are then filled up with water and the contents are mixed in a tumbler. Ratio of milk and water in tumbler is :
Correct Answer:
B: 7:17
Explanation:
Two equal glasses are respectively one-third and one-fourth full of milk. they are then filled up with water and the contents are mixed in a tumbler. Ratio of milk and water in tumbler is : Correct Answer 7:17 সহজে হিসাব = 13 + 14÷23 + 34 = 717
Rahim's convertible gets gas mileage that is 40% higher than that of Karim's SUV. If Jalil's hatchback gets gas mileage that is 15% higher than of Rahim's convertible, then that of Rahim's convertible, then Jalil's hatchback gets gas mileage that is what percent greater that of Karim's SUV?
Correct Answer:
C: 61%
Explanation:
Rahim's convertible gets gas mileage that is 40% higher than that of Karim's SUV. If Jalil's hatchback gets gas mileage that is 15% higher than of Rahim's convertible, then that of Rahim's convertible, then Jalil's hatchback gets gas mileage that is what percent greater that of Karim's SUV? Correct Answer 61% ধরি, করিমের convertible - এর mileage = 100 রহিমের convertible এর mileage = করিমের 40% বেশি = (100 + 40) = 140 এবং জলিলের concertible এর mileage = রহিমের 15% বেশি। = 140 + 140 এর 15% = 140 + 21 = 161 জলিলের hatchback - এর gas mileage করিমের চেয়ে (161 - 10O) = 61% বেশি।
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 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:
A: 3/20
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 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, total number of seats = x তাহলে lower deck এ seat = x×14 = x4 so unsold seat in lower deck = 15×x4 = x20 এখন, x×23 seats in whole stadium বিক্রি হয়েছিল, তাহলে unsold = (x - 23x) = x3 তাহলে ভগ্নাংশটি হবে = x20÷x3 = x20×3x = 320
The Lions' Club has a traget of rising at least Tk 500,000. It has already raised Tk 100,000. The club is sponsoring a 'pitha' festival and charging Tk. 5000 per ticket. Which equation represents the number of tickets (t) that the club must sell to meet its target?
Correct Answer:
C: 5t+100=500
Explanation:
The Lions' Club has a traget of rising at least Tk 500,000. It has already raised Tk 100,000. The club is sponsoring a 'pitha' festival and charging 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 Lion club - টির টাকা উঠানো target = 500,000 টাকা । ইতিমধ্যেই 100,000 টাকা উঠে যাওয়ার আরো টাকার দরকার (500,000 - 100,000) = 400,000 টাকা। Ticket - এর সংখ্যা (t) হতে হবে 4,00,0005,000 = 80 এখন (t) - এর মান 80 ধরলে অপশন (c) - এর equation - টিই সঠিক হয়। অর্থাৎ 5×80 + 100 = 500
To fill a number of vacancies, a company must hire 3 officers from 6 applicants, and 2 managers from 4 applicants. What is the total number of ways in which the company can make its selection?
Correct Answer:
B: 120
Explanation:
To fill a number of vacancies, a company must hire 3 officers from 6 applicants, and 2 managers from 4 applicants. What is the total number of ways in which the company can make its selection? Correct Answer 120 এটি permutation এর অঙ্ক। 3 জন officer 6 জন থেকে = 6P3 এবং 2 জন manager 4 জন থেকে = 4P2; total = 6P3 + 4P2 = 132update: (11-02-23) it is combination problem. Since the order of vacancies doesn't matter. 6C3 = 20 and 4C2= 6, 20 × 6 = 120 is the right answer. Given ans is wrong
A drink contains 20% cranberry juice, 20% raspberry juice and the rest i apple juice. You added 250 ml water in 750 ml of the drink. Now, what is the ratio of water to apple juice in the drink?
Correct Answer:
D: 5:9
Explanation:
A drink contains 20% cranberry juice, 20% raspberry juice and the rest i apple juice. You added 250 ml water in 750 ml of the drink. Now, what is the ratio of water to apple juice in the drink? Correct Answer 5:9 ধরি drink - টি 1000 মিলি. ⸫ Cranberry juice = (1000×20%) = 200 মিলি. Raspberry " = 200 মিলি ⸫ Apple juice = 1000 - (200 + 200) = 600 মিলি ⸫ 750 মিলির মধ্যে apple juice 600×7501000 = 450 মিলি ⸫ water এবং apple ratio = 250 : 450 = 5 : 9
In what ratio must a grocer mix two varieties of tea worth Tk 60 per kg and 65 per kg so that by selling the mixture at Tk 68.20 per kg he may gain 10%?
Correct Answer:
A: 3:2
Explanation:
In what ratio must a grocer mix two varieties of tea worth Tk 60 per kg and 65 per kg so that by selling the mixture at Tk 68.20 per kg he may gain 10%? Correct Answer 3:2 1 কেজি মিশ্রিত চায়ের মূল্য 68.20 টাকা এবং লাভ 10% ⸫ 1 কেজি মিশ্রিত চায়ের ক্রয়মূল্য 100×68.20110 = 62 ⸫ Required ratio = 3 : 2
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B, 75 kilometres (km) away from A at the same time. On the way, however, the train had lost about 12.5 minutes while stopping at the stations. What is the speed of the car?
Correct Answer:
A: 120 km/hr
Explanation:
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B, 75 kilometres (km) away from A at the same time. On the way, however, the train had lost about 12.5 minutes while stopping at the stations. What is the speed of the car? Correct Answer 120 km/hr ধরি, car - এর গতিবেগ ঘণ্টায় x কি.মি. ⸫ Train " " " 150x100 = 3x2 " ⸫ 75x - 753x2 = 12.560 ⇒ 75x - 75×23x = 12510×60 ⇒ 75x - 50x = 125600 ⇒ 75 - 50x = 125600 ⇒ 25x = 125600 ⇒ 125x = 25×600 ⸫ x = 25×600125 = 120 ⸫ car - এর গতিবেগ ঘণ্টায় 120 কিমি.
A machine P can paint one lakh books in 8 hours; machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines started operating at 9 A. M. while machine P is stopped at 11 A. M. and the reamaining two machines completed the work. Approximately at what time will the work (to print one lakh books) be finished?
Correct Answer:
D: 1:00 P. M.
Explanation:
A machine P can paint one lakh books in 8 hours; machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines started operating at 9 A. M. while machine P is stopped at 11 A. M. and the reamaining two machines completed the work. Approximately at what time will the work (to print one lakh books) be finished? Correct Answer 1:00 P. M. P,Q এবং R 1 ঘণ্টায় করে 18 + 110 + 112 অংশ = 15 + 12 + 10120 = 37120 " P,Q এবং R 2 " " 37120×2 = 3760 অংশ অবশিষ্ট থাকে 1 - 3760 = 60 - 3760 = 2360 অংশ (Q + R) একত্রে 1 ঘণ্টায় করে 110 + 112 = 6 + 560 = 1160 অংশ Q এবং R একত্রে 1160 অংশ কাজ করে 1 ঘণ্টায় Q এবং R " 2360 " " " 60×2311×60 = 2311 = 2 ঘণ্টায় সুতরাং কাজটি 11 টার পর প্রায় 2 ঘণ্টা পরে অর্থাৎ 1 টায় শেষ হয়।
At XYZ Company, the ratio of 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:
A: 1:4
Explanation:
At XYZ Company, the ratio of 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 মোট বিক্রয় ও মোট লাভের অনুপাত = 4 : 3 এবং মোট লাভ ও নীট লাভের অনুপাত 3 : 1 ⸫ Sale, Gross profit এবং Net profit এর অনুপাত = 4 : 3 : 1 সুতরাং Net profit ও Sale এর অনুপাত = 1 : 4
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 এখানে, 5 - 4 = 1, 9 - 8 = 1, 13 - 12 = 1 5, 9 ও 13 এর ল.সা.গু = 585
A discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the marked retail price. If during a special sale an additional 20 percent were to be deducted from the discount price; what would be the lowest possible price of an item marked retail price is Tk. 260?
Correct Answer:
A: Tk. 145.60
Explanation:
A discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the marked retail price. If during a special sale an additional 20 percent were to be deducted from the discount price; what would be the lowest possible price of an item marked retail price is Tk. 260? Correct Answer Tk. 145.60 এই Math টিতে 'discount' এর উপর 'discount' হিসাব করতে হবে। যদি 30% off থাকে , তবে (100 - 30) = 70% price এ বিক্রি হচ্ছে। so 30% discount এর জন্য 260Tk হবে = 260 × .70 = 182 Tk. আবার, এই discount price এর উপর 20% discount = 182 × .80 = 145.60 টাকা
If-5
Correct Answer:
A: -3
Explanation:
If-5 Correct Answer -3 ব্যাখাঃ অসমতাটি যোগ করলে হয় - 5 + 2 < a + b < 14 + 15 - 3 অসমতাটি বিয়োগ করলে হয় - 5 - 2 - 7 সুতরাং b ও c উভয়টিই প্রদত্ত অসমতারক্ষেত্রে সত্য নয়
The ratio between the length and the perimeter of a rectangular plot is 1:3. What is the ratio between the length and breadth of the plot?
Correct Answer:
A: 1:2
Explanation:
The ratio between the length and the perimeter of a rectangular plot is 1:3. What is the ratio between the length and breadth of the plot? Correct Answer 1:2 Hints: Let the length is x and breadth is y. Then perimeter = 2 ( x + y) Now, x / 2(x + y) = 1/3 3x = 2x + 2y x = 2y x/y = 1/2 = 1 : 2
Druing a special promotion, a certain filling station is offering a 10% discount on gas purchased after the first the first 10 gallons. If Kim purchased 20 gallons of gas, and Zeni purchased 25 gallons of gas, then Zeni's total per-gallon discount is what percent of Kim's total per-gallon discount?
Correct Answer:
B: 120%
Explanation:
Druing a special promotion, a certain filling station is offering a 10% discount on gas purchased after the first the first 10 gallons. If Kim purchased 20 gallons of gas, and Zeni purchased 25 gallons of gas, then Zeni's total per-gallon discount is what percent of Kim's total per-gallon discount? Correct Answer 120% আমাদের কেবল বের করতে হবে কতটুকু পরিমাণে তারা discount পাবে। Actual discount percent নিয়ে চিন্তা না করলেও হবে, যেহেতু, ভাগ করার সময় percentage (10%) বাদ হবে Zeni 25 gallon এর মধ্যে 15 gallon এবং Kim 20 gallon এর মধ্যে 10 gallon discount পায়। তাহলে Kim এর সাপেক্ষে।
In a class, 120 students are finance major and 100 students are marketing major, 25% of the finance students and 20% of the marketing students are male. 20% of the male finance student and 25% of the male marketing students passed the final xam. What percentage of male students passed the exam?
Correct Answer:
A: 5%
Explanation:
In a class, 120 students are finance major and 100 students are marketing major, 25% of the finance students and 20% of the marketing students are male. 20% of the male finance student and 25% of the male marketing students passed the final xam. What percentage of male students passed the exam? Correct Answer 5% Hints: Finance এর ছাত্রসংখ্যা = ( 120 ×25/100) = 30জন Marketing এর ছাত্রসংখ্যা = (100×20/100) = 20 জন Finance এ পাশ করে = 30×20/100 = 6 জন Marketing এ পাস করে = 20×25/100 = 5 জন মোট ছাত্র - ছাত্রী (120 + 100) জন = 220 জন শতকরা পাস করে = ( 6 + 5)/220 ×100 = 5 জন
Fahim and Rishad both started at the same time from point A to point B at speeds of 52 kmph and 39 kmph respectively on the same road. As soon as Fahim reaches point B, he turns back, stats toward point A on the same road, and meets Rishad on the way. How far from point B do the two of them meet, if the distance between the points is 70 km?
Correct Answer:
C: 10 km
Explanation:
Fahim and Rishad both started at the same time from point A to point B at speeds of 52 kmph and 39 kmph respectively on the same road. As soon as Fahim reaches point B, he turns back, stats toward point A on the same road, and meets Rishad on the way. How far from point B do the two of them meet, if the distance between the points is 70 km? Correct Answer 10 km ব্যাখাঃ মনে করি, B বিন্দু থেকে x কিমি দূরে তারা মিলিত হবে। প্রশ্নমতে, ( 70 + x)/52 = ( 70 - x) /39 39 (70 + x) = 52 ( 70 - x) 2730 + 39x = 3640 - 62x 39x + 52x = 3640 - 2730 91x = 910 x = 10