Explanation:

A motor pool has 300 vehicles of which 30% are trucks. 20% of all the vehicles in the motor pool are diesel, including 15 trucks. What percent of the motor pool is composed of vehicles that are neither trucks nor diesel? Correct Answer 165% Trucks = 30% of 300 = 90 Other Vehicles (Excluding Trucks) = 300 - 90 = 210 Diesel Vehicle = 20% of 300 = 60 (Including 15 Trucks) Other Diesel Vehicles (Excluding Trucks) = 60 - 15 = 45 Trucks that are NOT diesel = 90 - 15 = 75 Other Vehicles that are NOT diesel Vehicles = 210 - 45 = 165 Required % = (165/300)×100 = 55%

Explanation:

If 15 is the fifth number in a series of 5 consecutive odd numbers, what is the third number in the series? Correct Answer 7 series টি হচ্ছে 7, 9, 11, 13, 15

Explanation:

Which of the ratio is the largest? Correct Answer 7 : 11 3:7=0.425:9=0.557:11=0.638:12=0.66 this is largest

Explanation:

If both length and width of a rectangular plot for a garden are increased by 20%, how many percent of the plot would be increased? Correct Answer 20% 20 + 20 + {(20×20)/100} = 44 [ A + B + {(A×B)/100} এই সূত্রমতে ]

Explanation:

A collection of books went on sale and 2/3 of these were sold for Tk. 2.30 each. None of the 36 remaining books were sold. What was the total amount received for the books that were sold? Correct Answer 180 Remaining books = 1 - 2/3 = 1/3 1/3 of the books = 36 So, 2/3 of the books = 36 x (2/3) / (1/3) = 72 Then, total amount received from the sold books = 72 x 2.3 = 165.6 TK.

Explanation:

If x+5y=16 and x=-3y, then y= ? Correct Answer -24 x + 5y = 16......... (1) x = - 3y................ (2) 1 নং সমীকরণে x এর মান বসাই   - 3y + 5y = 16 = > 2y = 16 ∴y = 8

Explanation:

A small factory with 3 machines has a job of stamping out a number of pan covers. The newest machine can do the job is 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 the machine? Correct Answer 1.333 First machine can finish stamping out 1/3 of the pan covers in 1 day Second machine can finish stamping out 1/4 of the pan covers in 1 day Third machine can finish stamping out 1/6 of the pan covers in 1 day Together they can finish (1/3 + 1/4 + 1/6 = ) 9/12 = 3/4 of the pan covers in 1 day. So, they can finish stamping all of the pan covers in 3/4 = 1.33 days

Explanation:

The sum of five consecutive integers is 105. The sum of the first two is : Correct Answer 19 m + (m + 1 ) + (m + 2) + (m + 3) + (m + 4) = 105 5m + 10 = 105 5m = 95 m = 19 First 2 number is 19 and 20 Sum of the first two is = 19 + 20 = 39 (ans)

Explanation:

For all x>2, (2x২+2x-12)/(x-2)simplifies to : Correct Answer 2(x-2) = (2x2 + 2x−12)/(x−2) = 2(x2 + x−6)/(x−2) = 2(x + 3)(x−2)/(x−2) = 2(x + 3) (ans)

Explanation:

Karm can type 10 pages in 5 minutes. Rahim can type 2 pages in 10 minutes Working together, how many pages can they type in 30 minutes? Correct Answer 15 Karm types 10/5 = 2 pages per minute Rahim types 2/10 = 1/5 pages per minute Together in 1 minute they type = 2 + 1/5 = 11/5 pages Together in 30 minutes they type = 11/5×30 =  66 pages

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% A + B + AB/100 = 20 + 20 + 400/100 = 20 + 20 + 4 = 44

Explanation:

If A is 4/6 of B and B is 6/8 of C, what is the ratio of C:A? Correct Answer 2 : 1 A = 4/6 B = 4/6 ×6/8 = 1/2 c A = 1/2 C 2A = C 2/1 = C/A 2 : 1 = C : A

Explanation:

A box contains 24 balls , some are red and some are black. Each of the following could be the ratio between the red and black balls except Correct Answer 4: 3 1 + 1 = 2;24 can be divided by 2 3 + 1 = 4;24 " " " " 4 5 + 3 = 8;24 " " " " 8 4 + 3 = 7; 24 cannot be divided by 7. so, correct ans: (d)

Explanation:

X is 4/6 of Y and Y is 9/8 of Z. what is the ratio of Z:X? Correct Answer 2 :1 X = 4/6 Y = 4/6 * 6/8 Z = 1/2 Z বা, X/Z = 1/2 so, Z : X = 2 : 1

Explanation:

In a group of people solicited by a charity, 30% contributed Tk. 2400 each, 45% contributed Tk. 1200 each, and the rest contributed Tk. 120 each. If the charity received a total of Tk. 18,000 form the people who contributed Tk. 120.00, how much was contributed by the entire group? Correct Answer 774,000 Percent of people’s who is given by Tk.120 = 100 - 30 - 45 = 25% Number of peoples who is given by Tk. 120 = 18,000/120 = 150 Now, 25% of people’s = 150 So, Total number of people’s = (150*100/25) = 600 Total contribution = (600*0.3*2,400) + (600*0.45*1,200) + 18,000 = 774,000 Tk. Ans: 774,000 Tk.

Explanation:

For every novel in the school library there are two science books, for each science book there are seven economice books. Express the ratio of economics books to science books to novels in the school library as a triple ratio. Correct Answer 14 : 2 : 1 Novel : Science = 1 : 2 Science : Economics = 1 : 7 = (1×2) : (7×2) = 2 : 14 So,  Economics : Science : Novel =  14 : 2 : 1

Explanation:

In an examination there were 50 multiple choice question, For every right answer 1 point is added and for every wrong answer 0.25 points are deducted from the total. No point is added or deducted for any unanswered question. An applicant answered 80% of the total number of questions and got a total point of 35. How many answers of the applicant were wrong? Correct Answer 4 Let the number of wrong answers be N. Number of questions answered = 80% of 50 = 80/100 of 50 = 40 Then, the number of correct answers = 40 - N Therefore,  (40 - N)×1 - N×0.25 = 35 or,  40 - N - 0.25N = 35 or,  N + 0.25N = 40 - 35 or,  1.25N = 5 or,  N = 5/1.25 = 4

Explanation:

A Company makes a profit 6% on its first Tk. 10,000 of sales day and 5% an all sales in excess of Tk. 10,000 for that day. How much profit will the company make in a day when sales are Tk. 60,000? Correct Answer 3100 For first 10,000tk , profit is = 10000×6100 = 600Remaining (60,000-10000) or 50,000 profit is = 50000×5100 = 2500Total Profit = 600+2500 = 3100 (Ans.)

Explanation:

In the equation : 31(m-n) - 32(m-n) + (m-n)=? Correct Answer 31(m-n) - 32(m-n) + (m-n)= 31m - 31n - 32m + 32n + m - n= 0

Explanation:

It takes Russel 20 minutes to inspect a car and Sohel needs 18 minutes to inspect a car. They both start inspecting cars separately at 10:00 am. At certain points of time, both of them will finish inspecting a car at the same time. When will this occur for the first time? Correct Answer 1 : 00 pm We need to find the LCM of 18 and 20 in order to get the time interval when they both end inspection simultaneously. LCM of 18 and 20 is 180. That means after 180 min, they both end their respective inspection simultaneously. As they started at 10 AM, so after 180 min 0r 3 hr, the time will be 1:00 PM.

Explanation:

A cake is divided into 10 pieces. If Mohiuddin takes 1/3 of the cake and Morshed takes 1/3 of the rest the are left, how many pieces are still left? Correct Answer 4 If a cake is divided into 10 pieces and Mohiuddin takes 1/3 of the cake, he takes:(1/3) x 10 = 10/3 piecesThe remaining cake is 10 - 10/3 = 20/3 pieces.If Morshed takes 1/3 of the remaining cake, he takes:(1/3) x (20/3) = 20/9 piecesThe number of pieces left is the remaining cake after Morshed has taken his sharewhich is:20/3 - 20/9 = 40/9To express the answer in whole numbers, we need to find a common denominator of 9. Therefore, we have:40/9 = 4 and 4/9Therefore, there are approximately 4 pieces left. The answer is "4."

Explanation:

A box contains 10 balls, some are red and some are black. Each of the following could be the ratio of the red to black balls EXCEPT --- Correct Answer 5:1 The number of balls(10) must be divisible by the sum of the ratios. But, 10 is not divisible by the sum of the ratios 5:1 which is (5 + 1 = 6). So, the ratio of the balls cannot be 5:1.

Explanation:

There are 50 students enrolled is business finance. Of the enrolled students, 90% took the final exam. Two thirds of the students who took the final exam passed it. How many students passed the final exam? Correct Answer 30 Enrolled = 50 StudentsTaken the final exam = 50×90100 = 45Final Exam Passed = 45×23 = 30so, 30 students passed the final exam. (Ans.)

Explanation:

A worker is paid d Dollar an hour for the first 8 hours. Four every hour after the first 8 hours, she is paid c dollars an hour. If she works 12 hours in one day, what is the average hourly wage for that day? Correct Answer 8d+4c first 8 hours, the worker gets = 8d dollarsremaining(12-8) or 4 hours, the worker gets = 4cTotal earning wage of the worker = 8d+4cnow, average hourly wage = (8d+4c)/12

Explanation:

If 4 cows prduce 4 liters of milk in 4 days, how many days does it take for 8 cows to produce 8 liters of milk? Correct Answer 4 1 cow ability 1 / 4 lit/day8 cow ability per day = 14×8=2 litso, 8 cow need for 8 lit of milk =82=4 days

Explanation:

A company employs 15 workers working 44 hours a week to complete a job. If 4 men are ill, how many hours a week would the rest have to works to complete the job? Correct Answer 45 hours Total work hours per week = 15×44 = 660 hours Workers capable of working = 15 - 4 = 11 Work hour per worker per week needed = 660/11 =  60 hours

Explanation:

A collection of books went on sale and 2/3 of them were sold for TK. 2.30 each. If none of the 36 remaining books were sold, what was the total amount received for the books that were sold ? Correct Answer 180 1/3 of the collection = 36 Therefore, 2/3 of the collection = 36 x (2/3) / (1/3) = 72. Therefore, amount received from book sale = 72 x 2.30 = 165.6 TK.

Explanation:

Last year there were 1172 students at Banani High School. This year there are 15 percent more students than last year. Approximately how many students are at Banani High School this year ? Correct Answer 1800 15% of 1172 ≈ 175 Number of students = 1172 + 175 = 1347

Explanation:

In a class of 25 students 44% are boys. What is the ratio of girls in the class? Correct Answer 11 : 14 Boys : Girls = 44 : 56 = 11 : 14

Explanation:

If 3x=2y and 6y=7z, what is the ratio of x to z? Correct Answer 7:9 3x = 2y Or, 9x = 6y..... (1) Again, 6y = 7z Or, 9x = 7z [ যেহেতু 6y = 9x] So, x:z = 9:7

Explanation:

A cake is put in the oven at 7.20 am. If the cake takes three quarters of an hour to bake, at what time should it be taken out of the oven ? Correct Answer 8:05 a.m. Three quarters of an hour = 45 minutes 7:20 am + 45 minutes = 8:05 am

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 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

Explanation:

If 5 student run a mile in 5 minutes, how much time will 50 students take to run a mile? Correct Answer 0.1 minute every student is single.. so 50 student take 5 minutes

Explanation:

Ina 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 20% 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%

Explanation:

x : y = 5 : 6, y : z = 7 : 8 হলে, x : y : z = কত? Correct Answer 35 : 42 : 48 ব্যাখাঃ x : y = (5 : 6)×7 = 35 :42 y : z = (7 : 8) ×6 = 42 : 48 x : y : z = 35 : 42 : 48

Explanation:

৩x - ২y = ৮ এবং ২x + ৫y = -১ হলে, x = কত? সঠিক উত্তর -১ 3x - 2y = 8 ………. (i)=> x=2y+832x + 5y = -1 ………(ii)=> 2×2y+83+5y=-1=> 4y+16+15y=-3=> 19y = -19=> y = -1

Explanation:

একজন মাঝি স্রোতের অনুকূলে ২ ঘন্টায় ৫ মাইল যায় এবং ৪ ঘন্টায় প্রাথমিক অবস্থানে ফিরে আসে। তার মোট ভ্রমণে প্রতি ঘন্টায় গড় বেগ কত? সঠিক উত্তর ১৫/৮ যাওয়ার সময় বেগ = 5 / 2 = 2 mile/hourআসার সময় বেগ = 5 / 4 mile/hourমাঝির যাওয়া আসার গড়বেগ =52+542=158 mile/hour (Ans)

Explanation:

35% of Rashed's income is equal to 25% of Mithu's income. The ratio of their income is - Correct Answer 5:7 রাশেদের আআয়ের ৩৫%=মিঠুর আয়ের ২৫%(৩৫/১০০) × রাশেদের আয় = (২৫/১০০) × মিঠুর আয়৩৫ × রাশেদের আয় = ২৫ × মিঠুর আয়রাশেদের আয়/মিঠুর আয় = ২৫/৩৫ = ৫/৭ = ৫:৭

Explanation:

The receptionist at a veterinary clinic reviewed the office records and found that 3 out of every 8 animals treated at the clinic during the last 4 months were cats. At this rate, how many cats will be treated during the next 12 weeks if a total 288 animals are treated ? Correct Answer 108 Number of cats out of 8 animals is 3 So, number of cats out of 288 animals = 3×288/8 = 3×36 = 108

Explanation:

একটি বই ২৫% কমিশনে বিক্রয় করা হয়। বইটির প্রকৃত বিক্রয় মূল্য ৭২০ টাকা হলে বইটি কত টাকায় ক্রয় করা যাবে? সঠিক উত্তর ৫০০ যদি বইটি ২৫% কমিশনে বিক্রয় করা হয় এবং প্রকৃত বিক্রয় মূল্য ৭২০ টাকা হয়, তবে আমরা বইটি কত টাকায় ক্রয় করতে পারি তা বের করতে পারি।বইটির বিক্রয় মূল্য = প্রকৃত বিক্রয় মূল্য - (কমিশনের হার / 100) * প্রকৃত বিক্রয় মূল্যবইটির বিক্রয় মূল্য = ৭২০ - (25 / 100) * ৭২০বইটির বিক্রয় মূল্য = ৭২০ - ১৮০বইটির বিক্রয় মূল্য = ৫৪০অতএব, বইটি ক্রয় করা যাবে ৫৪০ টাকায়। সুতরাং, উত্তরটি হলো D. ৫৪০.

Explanation:

x বছর পর রাজুর বয়স হবে y বছর। z বছর পর তার বয়স কত হবে? সঠিক উত্তর y-x+z Let, present age =p after x year, age will be = p+xp+x = y     or, p = y-x now, after z year, age will be = z+p                                                     = z+y-x                                                      = y-x+z (Ans)