Explanation:

একটি শ্রেনীর ছাত্র ও ছাত্রীর সংখ্যার অনুপাত ৩ঃ৪। ঐ শ্রেনীতে মোট ৩৫ জন ছাত্রছাত্রী থাকলে ছাত্রের চেয়ে ছাত্রী সংখ্যা কত বেশি? সঠিক উত্তর ৫ ছাত্রের সংখ্যা=৩৫*৩/৭=১৫ জনছাএীর সংখ্যা=৩৫*৪/৭=২০জনছাএীর সংখ্যা বেশি=২০-১৫=৫ জজন

Explanation:

একটি ত্রিভুজের দুই বাহুর দৈর্ঘ্য ৫ সেন্টিমিটার ও ৭ সেন্টিমিটার হলে তৃতীয় বাহু ____ সেন্টিমিটার হতে পারে না। সঠিক উত্তর ১২ ত্রিভুজের দুই বাহুর যোগফল অবশ্যই অপর বাহুর চেয়ে বৃহত্তম হবে। সেক্ষেত্রে অপশনগুলোর মধ্যে ১২ সেমি যোগফল এর সমান হয়ে যায় বিধায় তা হতে পারেনা।

Explanation:

দুটি সংখ্যার অর্ধেকের যোগফল ৫২। তাদের পার্থক্যের এক চতুর্থাংশ ১৪ হলে সংখ্যা দুইটি কত? সঠিক উত্তর ২৪,৮০ ধরি, সংখ্যা দুইটি যযথাক্রমে x ও yপ্রশ্নমতে, (x+y)/2 = 52বা, x+y = 104………(1)(x-y)/4 = 14বা, x-y = 56………(2)(1)+(2) =>2x=160  বা, x=80x এর মান (১)নং এ বসিয়ে পাই, y=24সংখ্যা দুইটি ২৪, ৮০

Explanation:

If Anwar's salary is 25% greater than that of Babu, what is the ratio of the salary of fBabu and Anwar ? Correct Answer 4/5 Let, Babu's salary = 100Then, Anwar's salary = 100+{(25÷100)×100}=125So, salary ratio should be = (100÷125)=4/5

Explanation:

A man buys pen at the rate of TK. 420 per 100 pieces and sells them at TK. 60 per dozen . If the profit is TK. 100, how many pens did he buy ? Correct Answer 125 The cost price of 100 pens = TK. 420 Cost price of 1 pen = TK. (420/100) = TK. 4.2 Selling price of 1 dozen pens = TK. 60 Selling price of 1 pen = TK. (60/12) = TK. 5Profit per pen = Selling price per pen - Cost price per pen = TK. (5 - 4.2) = TK. 0.8Let the number of pens bought be x Total profit = TK. 100Profit per pen × number of pens = Total profit TK. 0.8 × x = TK. 100 x = (TK. 100)/(TK. 0.8) = 125Therefore, the man bought 125 pens.

Explanation:

একটি কুরিয়ার সার্ভিস প্রথম ১০ কেজি পন্য পরিবহনের জন্য প্রতি কেজিতে ২টাকা এবং ১০ কেজির উপরে কেজিতে ১টাকা ফি নেয়। ১৭.৫ কেজি পন্য পরিবহনের ফি কত হবে? সঠিক উত্তর ২৮টাকা প্রথম ১০ কেজির জন্য(10*2) = ২০ টাকা,next 7.5 kg er jonno (7.5*1) = 7.5 taka.

Explanation:

৯, ১১, ১৫, ২৩, ৩৯ ----ধারাটির পরবর্তী সংখ্যা কত? সঠিক উত্তর ৭১ ১ম পদ=৯২য় পদ=৯+২=১১৩য় পদ=১১+৪=১৫৪র্থ পদ=১৫+৮=২৩৫ম পদ=২৩+১৬=৩৯৬ষ্ঠ পদ=৩৯+৩২=৭১

Explanation:

If m and n are positive integers, which of the following must be an even integer ? Correct Answer n(n-1)(m-1) Let's say m= 3 and n= 4 then n(n-1)(m-1)= 24If m=3 and n=5 then n(n-1)(m-1)=40 So option 4 Will be even integer in every case.

Explanation:

In a club 50% of the male voters and 80% of the female voters voted for candidate A . If candidate A received 70% of the total votes, what is ratio of male to female voters ? Correct Answer 1/2 মোট সদস্য 100 জন,পুরুষ x, নারী 100 - x 50x/100 + (100 - x)*80 = 70*100/100 5x + 800 - 8x/10 = 70 x = 33.3333(M) 100 - 33.33 = 66.66(F) Ans;, 1:2

Explanation:

If 6x-14<8x+2, which of the following must be true ? Correct Answer x>-8 6x-14<8x+2-14-2<8x-6x-16<2x-8<xSo, x>-8

Explanation:

A salesman's income consists of his salary and commission . His monthly salary is TK. 8,000. During one month, the commission he earned was 5/4 of his salary . What fraction of his income for that month came from commission ? Correct Answer 5/9 The salesman's commission for the month is 5/4 * 8000 = 10000.Therefore, his total income for the month is 8000 + 10000 = 18000.The fraction of his income that came from commission is:10000 / 18000 = 5/9.So, 5/9 of his income for the month came from commission.

Explanation:

If 2x+2y=7z, then what is the average of x, y and z ? Correct Answer 1.5z Given that, 2X + 2Y = 7Z So, X + Y = (7/2) Z Now, average = X + Y + Z/ 3 = { (7/2)Z + Z} /3 = 9Z/6 = 1.5 Z

Explanation:

In the following series, what comes next ? 1, A, 9, I, 17, -- Correct Answer Q Here 1 + 8 = 9 and 9 + 8 = 17 A is the 1st alpahabet , I is the no 9th alphabet and q is the 17 no alphabet. so the answer is q

Explanation:

Jamal is taller than Pia , and Bashir is shorter than Jamal. Which of the following statements would be most accurate ? Correct Answer It is impossible to tell whether Bashir or Pia is taller প্রশ্নঃ জামাল পিয়ার চেয়ে লম্বা, এবং বশির জামালের চেয়ে খাটো। নিম্নলিখিত বিবৃতিগুলির মধ্যে কোনটি সবচেয়ে নির্ভুল হবে? জামাল পিয়া এবং বশির উভয়ের চেয়ে লম্বা। কিন্তু পিয়া ও বশিরের মধ্যে সম্পর্ক বের করা অসম্ভব।

Explanation:

Faruk can do a work in 12 days and Salam can do the same work in 8 days. If Faruk , Salam and Babu work together , they can complete the work in 4 days . How many days will it take Babu to complete the work alone ? Correct Answer 24 Faruk can do a work in 12 days and Salam can do the same work in 8 days. If Faruk , Salam and Babu work together , they can complete the work in 4 days . How many days will it take Babu to complete the work alone ? in 1 day faruk can do 1/12 unit of work in 1 day salma can do 1/8 unit of work let asssume, i 1 day babu can do 1/x unit of work in 1 day babu , faruk and salma can do = (1/12 + 1/8 + 1/x) = 5x + 24/24x unit of work given that, in 4 days they can complete 1 unit of work together so in 1 day the can do 1/4 unit of work hence , 5x + 24/24x = 1/4 20x + 96 = 24x x = 24

Explanation:

Fill in the blank in the series : 000, 001, 011, - Correct Answer 111 In every time left side 0 is replaced by 1 so 000,001,011,111 Ans : 111

Explanation:

If the price of an item is increased by 10% and then decreased by 10% , the net effect on the price of the item is - Correct Answer a decrease of 1% Lets say, price is 100 Tk 10% increase, sp = 110 tk 10% decrease, sp = 100 - 10% of 110 = 110 - 11 = 99 ∴ Net decrease 1%

Explanation:

Five motorbikes had a race . The Honda beat the Hero but couldn't overtake the Kawasaki . The Vespa failed to overtake the Suzuki but beat the Kawasaki . Which bike came last ? Correct Answer Hero প্রশ্নঃ পাঁচটি মোটরবাইকের একটি রেস ছিল। Honda Hreoকে পরাজিত করেছিল কিন্তু Kawasaki ছাড়িয়ে উঠতে পারে নি। Vespa Suzukiকে ছাড়িয়ে যেতে ব্যর্থ হয়েছিল তবে Kawasakiকে পরাজিত করে। শেষ কোন বাইক এসেছিল? ব্যাখ্যাঃ Hero = >Honda = >Kawasaki = >Vaspa = >Suzuki সুতরাং সবার শেষে এসেছিল Hero

Explanation:

In still water a boy rows 5 miles an hour. With the aid of current he can make a 21 miles trip in 3 hours. How fast is the current? Correct Answer 2 miles Water = 5 miles/hourWater + Current = 21 miles/3 hours                                 = 7 miles/hour So, Current = (7-5) miles/hour                      = 2 miles/hour (Ans)

Explanation:

If x + 1 > 1 - 2x then Correct Answer x > 0 x+1> 1-2x= x+2x>1-1= x+2x>0= 3x>0= x>0Ans  x>0

Explanation:

The average of 2, 7, 6 and x is 5 and that of 18, 1, 6 x and y is 10. The value of y is Correct Answer 20 (2 + 7 + 6 + x)/4 = 5 x = 20 - 15 ∴x = 5 (18 + 1 + 6 + x + y)/5 = 10 30 + y = 50 ∴y = 20

Explanation:

If 2x - y = 4 then 6x - 3y = ? Correct Answer 12 Hints : 2x - y = 4 3(2x - y) = 3 × 4 [ both side 3 multiply] 6x - 3y = 12

Explanation:

If x = y = 2z and xyz = 256 then what is the value of x? Correct Answer 8 Hints : xyz = 256 x.y.2z = 256 × 2 x3 = 512 x = 8

Explanation:

The perimeter of a square is 56, the length of each side is Correct Answer 14 Let, length of each side of square= x Perimeter of a square = 4xNow, 4x = 56       x = 14So, the length of each side of square is 14 (Ans)

Explanation:

A goat is tied to one corner of a square plot of side 12m by a rope 7m long. Find the area it can graze? Correct Answer 38.48 sq.m Hints : Graze area = থেটা / 360 degree × ল্যামডা π2 90 degree /360 degree × 3.1416 × (7)2 = 38.48 sq.m

Explanation:

The length of a rectangle is increased by 25%. What percentage should the width be decreased so that the area of the rectangle remains unchanged? Correct Answer 20% Hints : Let, length = 100x and width = 100y And z% was decreased from width So, 100x × 100y = 125x ( 100y - z) 10000xy = 12500xy - 125xz 125xz = 2500xy z = 20y অতএব, 20% decreased

Explanation:

The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member? Correct Answer 40 years Hints: Let, 4 years ago 9 person total age = x Now, Increase age of 10 member with old man = 10 × 4 = 40 Total present age of 10 member = x + 40 Again let present age of younger member = y Total present age of 10 new member = x + y According to question. x + 40 / 10 = x + y/ 10 x + 40 = x + y y = 40 Age of younger member = 40

Explanation:

The product of two numbers x and y is twice the sum of the numbers. What is the sum of the reciprocals of x and y? Correct Answer 1/2 Hints : xy = 2 ( x + y) xy/ x + y = 2 x + y/xy = 1/2 1/x + 1/y = 1/2

Explanation:

The least number of 4 digits which is a perfect square, is : Correct Answer 1024 we know, least 4 digit numbers is 1000 we get ,√1000 = 31.62 So , least 4 digit numbers that perfect square is 32^2 = 1024 ans: 1024

Explanation:

The average of 7 consecutive number is 20. The largest of these numbers is : Correct Answer 23 Hints: The average of seven consecutive number is - a + a + 1 + a + 2 + a + 3 + a + 4 + a + 5 + a + 6/7 = 20 7a + 21 = 20 × 7 7a = 140 - 21 a = 119/7 = 17 Target = 17 + 6 = 23 (ans)

Explanation:

The sum of two positive integers multiplied by the bigger number is 204, and their difference multiplied by the smaller number is 35. The numbers are : Correct Answer 12, 5 Hints: এই ম্যথটি করলে উত্তর দেখে করলে দ্রুত হয়। প্রশ্নমতে দুইটি সংখ্যাকে যোগ করে বড় সংখ্যা দিয়ে গুন করলে 204 হয়। প্রথম উত্তর দিয়ে = (12 + 5) × 12 = 204 মিলে গেছে। বাকি গুলা যদি না মেলে তাহলে এাটই উত্তর।

Explanation:

If one-third of one-fourth of a number is 15, then three-tenth of that number is : Correct Answer 54 Hints: ধরি সংখ্যটি, x তাহলে, 1/3 × 1/4 × x = 15 x = 180 180 × 3/10 = 54 (ans)

Explanation:

The ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250. The sum of the numbers is : Correct Answer 60 Hints: ধরি, সংখ্যাগুলো 3x, 4x, 5x এখন, (3x)2 + (4x)2 + (5x)2 = 1250 50x2 = 1250 x2 = 25 x = 5 তাহলে, sum = 3x + 4x + 5x = 12x = 12 × 5 = 60

Explanation:

If 35% of a number is 12 less than 50% of that number, then the number is : Correct Answer 80 Hints: ধরি সংখ্যটি x তাহলে, 35x/100 = 50x/100 - 12 35x - 50x = - 1200 15 x = 1200 x = 80

Explanation:

If selling price is doubled, The profit triples. Find the profit percent. Correct Answer 100 Hints:ধরি, cost price x এবং sell price y তাহলে, 3(y - x) = (2y - x) y = 2x profit = (y - x) = (2x - x) = x profit % = (x/x × 100%) = 100%

Explanation:

X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Tk. 40,000 the amount invested by Y is : Correct Answer Tk. 60,000 Hints: x/y = 2/3 = 4000o/? ? = 40000 × 3 /2 = 60000(ans)

Explanation:

If 5 men and 9 women can do a piece of work in 19 days, then in how many days will 3 men and 6 women do the same work? Correct Answer 15 Hints: short method Time = Men1 × women1 × Time1 / Men1 × women2 + Men2 × women1 = 5 × 9 × 19/ 5 × 6 + 9 × 3 = 15

Explanation:

A man wishes to cover his floor with tiles, each one measuring 3/4 inch by 2 inches. If his room is rectangular, measuring 12 feet by 18 feet, how many such tiles will he need? Correct Answer 20736 Area of each tiles  = 34×2 = 32 sq· inch = 12×18 sq·inch = 216 sq·inch∴216×14432 = 20736 ∵feet = 12 inch

Explanation:

A person travels form P to Q at a speed of 40 kmph and returns by increasing his speed by 50%. What is the average speed for both the trips? Correct Answer 50 kmph let, P to Q is x km. Thus he travels 2x km 1st Speed = 40kmph and 2nd speed will be = 40 + 40X50% = 60kmph Now, time to go P to Q = x/40 and time to come from Q to P is = x/60 and total time taken = x/40 + x/60 = 5x/120 = x/24 Thus, Average speed = 2x/(x/24) = (24X2x)/x = 48kmph Ans: Average Speed 48km/h

Explanation:

A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, Then how old is B? Correct Answer 10 Hints: ধরি, A, B, C এর বয়স A, B, C তাহলে, B = 2C ; A = B + 2 = 2C + 2 এখন, A + B + C = 27 2C + 2 + 2C + C = 27 5C = 25 C = 5 B = 2C = 2 × 5 = 10

Explanation:

Johan walks 10 miles at an average rate of 2 miles per hour and returns on a bicycle at an average rate of 10 miles per hour. How long does the entire trip take him? Correct Answer 6 hours We know, v = st∴t = sv∴Time to go = 102 = 5 hourand time to return = 101 = 1 hour∴Total time = 5 + 1 = 6 hour

Explanation:

In theis diagram AB=AC angle A = 40 degree and BD is perpendicular to AC at D. how many degrees are there in angle DBC? Correct Answer 20 degree △ABC এ AB = AC,∠B = ∠C∴∠A + ∠B + ∠C = 180∘⇒∠B + ∠C = 180∘ - 40∘⇒∠B + ∠C = 140∘⇒2∠B = 140∘∴∠B = 70∘ = ∠CAgain, △ABD এ ∠ADB = 90∘∠A = 40∘∴∠DBA = 180∘ - 90∘ - 40∘ = 50∘ ∴∠DBC = ∠ABC - ∠DBA = 70∘ - 50∘ = 20∘

Explanation:

A train 360 m long is running at a speed of 45 km/hour. In what time will it pass a bridge 140 m long? Correct Answer 40 seconds Hints: train অতিক্রম করে নিজের length এবং bridge এর length 45km/hr = ( 45÷3.6)ms - 1 = 12.5 ms - 1 Time = 140 + 360 /12.5 = 40seconds.

Explanation:

Which of the following is the least like the others ? Correct Answer pyramid deleterious মানে অনিষ্টকর harmless মানে নিরীহ তাই এরা opposite

Explanation:

A sum of money amounts to Tk. 9800 after 5 years and Tk. 12005 after 8 years at the same rate of simple interest per annual is : Correct Answer 12% Hints: 8 বছর এবং 5 বছর এর মাঝের 3 বছরের interest = ( 12005 - 9800) = 2205 Simple interest 5 বছরের জন্য = ( 2205/3 × 5) = 3675 Principle = (9800 - 3675) = 6125 Rate = {(100 × 3675)/(6125 × 5)}% = 12%