Explanation:

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 kg? Correct Answer 7 : 3 Let the amount of pulse of price Tk. 15 = x and the amount of pulse of price Tk. 20 = y Then the total amount of mixture = ( x + y) kg total cost of mixture = 15x + 20y but the price per kg of the mixture = Tk. 16.50 so, total price of (x + y) kg = 16.50(x + y) According to question; 16.50(x + y) = 15x + 20 y or, 16.50x + 16.50y = 15x + 20y or, 1.50x = 3.50y or, x/y = 3.50/1.50 = 0.7/0.3 = 7/3 so, the required ratio is 7 : 3.

Explanation:

A B C subscribe TK. 50,000 for a business .A subscribes TK. 4000 more than B and B TK, 5000 more than C Out of a total Profit of TK. 35,000. A receives Correct Answer Tk. 14,700 Let C = x. Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000 So, x + x + 5000 + x + 9000 = 50000 ⇒ 3x = 36000 ⇒ x = 12000 A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12 So A's Share = Tk. 35000 × 2150 = Tk. 14700

Explanation:

The sum of the present ages of a father and his son is 60 years . Six years ago, father's age was five times the age of the son. After 6 years, son's age will be - Correct Answer 20 years Let the present ages of son and father be x and (60 - x) years respectively. Then, (60 - x) - 6 = 5(x - 6) ⇒ 54 - x = 5x - 30 ⇒ 6x = 84 ⇒ x = 14 ∴ Son's age after 6 years = (x + 6) = 20 years.

Explanation:

A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is - Correct Answer 45: 56 Let the CP of book = Tk.x Then, SP of book = (100 + 12) × x/100 = 112x/100 Now. the printed price = Tk.y Then, after the discount, the SP = (100−10) × y/100 = 90y/100 Since both SP are same. Then, 112x/100 = 90y/100 = xy = 45/56 = 45 : 56

Explanation:

If 40% of a number is equal to two -third of another number, what is the ratio of first number to the second number ? Correct Answer 5:3 Let one number be a and the other be b. From the problem statement, we can write that 40% of a = 2/3 of b Solving gives us 0.4a = 2b/3 Further simplifying to get the value of a, gives us a = 5b/3 Now ratio of the two numbers is given by a/b = (5b/3)/b = 5/3. will be your answer.

Explanation:

If A and B are in the ratio 3 : 4 and B and C in the ratio 12 :13 then A and C will be in the dratio- Correct Answer 9 : 13 A:B = 3:4 or 9:12 B:C = 12:13 then A:C = 9:13

Explanation:

A monkey climbs a 60 m high pole.s In first minute he climbs 6 m and slips down 3 m in the next minute. How much time is required by it to reach the top? Correct Answer 37 minutes A monkey climbs 6 m in 1st minute and slips down 3 m in next minute i.e. Monkey climbs 3 meters in 2 minutes. Then he climbs in one minute = 3/2 m. But in the last minute, he climbs 6 m as he gets on the top so there is no slip. The time required = 2 × 54/3 + 6/6 = 37 minutes.

Explanation:

In a class , the number of girls is 20% more than that of boys. The strength of the class is 66. If 4 more girls are admitted to the class , the ratio of the number of boys to that of the girls is - Correct Answer 3 : 4 Correct option is A)Let the number of boys be x.Then, number of girls = 120% of x 100120​×x=56x​Given, x+56x​=66⇒511x​=66⇒x=30∴Numberofboys=30,numberofgirls=56×30​=36If 4 more girls are admitted then new number of girls = 40∴ Required ratio = 30:40 = 3:4

Explanation:

A man starts climbing a 11 m high wall at 5 pm. In each minute he climbs up 1m but slips down 50 cm. At what time will he climb the wall? Correct Answer 5 : 21 pm Man climbs 1m and slips down 50 cm (0.5m) in one minute i.e. he climbs (1 - 0.5 = 0.5 m) in one minute. But in the last minute, he will be climbing 1m as he gets on the top so no slip. Time taken to climb 11 meter = (10/0.5) + 1 = 21 minutes. He climbs the wall at 5:21 pm

Explanation:

The length of a rectangular plot is 20 meters more than its breadth . If the cost of fencing the plot at TK. 26.50 per meter is TK. 5300, what is the length of the plot in meters? Correct Answer 100 Let length of plot = L meters, then breadth = L - 20 meters and perimeter = 2[L + L - 20] = [4L - 40] meters [4L - 40] * 26.50 = 5300 [4L - 40] = 5300 / 26.50 = 200 4L = 240 L = 240/4 = 60 meters.

Explanation:

A trader sells his goods at a discount 20% . He still makes a profit of 25% . If he sells the goods at the marked price only, his profit will be: Correct Answer 56. 25% Let the marked price = Tk. 100 Then, SP = 100 - 20% of 100 = Tk. 80 Profit = 25% Let His CP = X SP = 80 X + 25% of X = 80 Hence, X = Tk. (100 × 80)/125 = Tk. 64 CP = Tk. 64 Profit after selling on marked price = 100 - 64 = Tk. 36 % gain = (36 × 100)/64 = 56.25%

Explanation:

The sum of two numbers is 22 and the sum of their squares is 404, then the product of two numbers is - Correct Answer 40 ATQ, x + y = 22 ... (i) x2 + y2 = 404 ... (ii) Therefore, (x + y)2 = x2 + y2 + 2xy (22)2 = 404 + 2xy 484 = 404 + 2xy Or, 2xy = 80 Or, xy = 40

Explanation:

The cost price of 19 articles is same as the selling price of 29 articles. What is loss percentage? Correct Answer 34. 48% Let CP of each article be Tk. 29 and SP of each article be Tk. 19 Loss Percentage = (29x−19x) × 100/29x = 34.48%

Explanation:

What is the rate of simple interest for the first 4 years if the sum of TK. 360 becomes TK. 540 in 9 years and the rate of interest for the last 5 years is 6% ? Correct Answer 5% Original sum = Tk. 360 Total interest in 9 years = 540 - 360 = 180 Interest in last 5 years = 5 x 6 = 30% = 30/100 x 360 = Tk. 108 = > Interest in first four years : 180 - 108 = Tk. 72 Interest per annum = 72/4 = 18 Rate of interest for first four years = 18/360 x 100 = 5%

Explanation:

If x: y =5:2 , then (8x+9y) : ( 8x +2y) is Correct Answer 29:22 x/y = 5/2 Means x = 5, y = 2 Putting value of x and y in expression 8 × 5 + 9 × 2 = 58 8 × 5 + 2 × 2 = 44 58 : 44 = 29 : 22

Explanation:

What is the amount of equal installment , if a sum of TK. 1428 due 2 years hence has to be completely has to be completely repaid in 2 equal annual installments starting next year? Correct Answer cannot be determined As short - cut of installment for 2 installments is given by Installment = P/{(100/100 + R) + (100/100 + R)2} There is the need of rate (R) which is unavailable in the question. So, we cannot determine the answer.

Explanation:

while working 7 hour a day , A alone can complete a piece of work in 6 days and B alone in 8 days . In what time would they complete it together , 8 hour a day? Correct Answer 3 days A can complete the work in 7*6 hrs = 42 hrs. A can complete in 1 hr = 1/42 part. B can complete the work in 7*8 hr = 56 hrs. A&B together do in 1 hr = 1/42 + 1/56 = 7/168 = 1/24 part. So they will do in 8 hrs = 8*1/24 = 1/3 part. Hence they need 1÷1/3 = 3 days to complete the work.

Explanation:

In a zoo, there are Rabbits and Pigeons. It heads are counted s, there are 200 and if legs are counted there are 580. How many pigeons are there ? Correct Answer 110 Heads Count = 200 Legs count = 580 Average Legs count for per head = 580/200 = 29/10 Rabbits : Pigeons = 9/10: 11/10 = 9 : 11 Number of Pigeons = 200 × 11/20 = 110

Explanation:

The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is Correct Answer 9.2 m Let AB be the wall and BC be the ladder. Height and Distance mcq solution image Then, ∠ACB = 60° = AC = 4.6m ACBC = cos60∘ = 12 ⇒ BC = 2 × AC = 2 × 4.6 = 9.2m

Explanation:

Two number are in the ratio 3:5 . If 9 is subtracted form each , the new numbers are in the ratio 1223. The smaller number is Correct Answer 33 Let the two numbers be 3x and 5x respectively. According to the given problem, (3x - 9)/(5x - 9) = 12/23 = > 23 × (3x - 9) = (5x - 9) × 12 = > 69x - 207 = 60x - 108 = >9x = 207 - 108 = >x = 99/9 = 11 Therefore, the two numbers are (3 × 11) = 33 and (5 × 11) = 55. The smaller number is 33.

Explanation:

P and O invested in a business. The profit earned was divided in the ratio 2 :3 . If P invested TK. 40000, the amount invested by Q is - Correct Answer TK. 60000 Let, the amount invested by Q = q. 40000:q = 2:3 ⇒40000q = 23 ⇒q = 40000 × 32 = Tk. 60000

Explanation:

Two trains 105 meters and 90 meters long, run at the speeds of 45 km/h and 72 km/h respectively , in opposite directions on parallel tracks. The time which they take to cross each other , is : Correct Answer 6 seconds Length of the 1st train = 105 m Length of the 2nd train = 90 m Relative speed of the trains, = 45 + 72 = 117 kmph = (117 × 5)/18 = 32.5 m/sec Time taken to cross each other, = (Length of 1st train + length of 2nd train)/ relative speed of the trains ∴ Time taken = 195/32.5 = 6 secs.

Explanation:

A bag contains 2 red, 3 green and 2 blue balls .Two balls are drawn at random. What is the probability that none of the balls drawn is blue? Correct Answer 10/21 Total number of balls = (2 + 3 + 2) = 7 Let S be the sample space Then, n(S) = Number of ways of drawing 2 balls out of 7 n(S) = 7C2 n(S) = (7 × 6)/(2 × 1) n(S) = 21 Let E = Event of 2 balls, none of which is blue ∴ n(E) = Number of ways of drawing 2 balls out of (2 + 3) balls n(E) = 5C2 n(E) = (5 × 4)/(2 × 1) n(E) = 10 ∴P(E) = n(E)/n(S) = 10/21

Explanation:

The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance traveled downstream in 12 minutes is Correct Answer 3.6 km Speed downstream = (15 + 3) kmph = 18 kmph Distance travelled = (18 × 12/60) km = 3.6 km

Explanation:

which one of the following numbers can be removed from the set S ={ 0, 2, 4,5.9) without changing the average of set S ? Correct Answer 4 The average of the elements in the original set S is: 0+2+4+5+95=205=4

Explanation:

A tank is filled in 5 hours by three pipes A,B and C The pipe C is twice as fast as B and B is twice as fast as A How much time will pipe A alone take to fill the tank? Correct Answer 35 hours Suppose pipe A alone takes x hours to fill the tank. Then, pipes B and C will take x/2 and x/4 hours respectively to fill the tank. ∴1/x + 2/x + 4/x = 1/5 ⇒7/x = 1/5 ⇒x = 35hours

Explanation:

Find the least number of five digits which when divided by 40, 60, and 75 , leave remainders 31 ,51 and 66 respectively . Correct Answer 10191 Difference, 40 - 31 = 9 60 - 51 = 9 75 - 66 = 9 Difference between numbers and remainder is same in each case. Then, The answer = {(LCM of 40, 60, 75) - 9} 40 = 2 × 2 × 2 × 5 60 = 2 × 2 × 3 × 5 75 = 3 × 5 × 5 LCM = 2 × 2 × 2 × 5 × 5 × 3 = 600 But, the least number of 5 digits = 10000 10000/600, we get remainder as 400 Then, the answer = 1000 - (600 - 400) - 9 = 10191

Explanation:

There is provision of food in fort for 1200 soldiers for 60 days .After 15 days . 200 soldiers leave the fort .Remaining food will last for how many days? Correct Answer 54 days Work equivalence method: 1200 × 45 = 1000 × x Hence, x = 54 days Variation Method: After 15 days 200 soldiers left. Soldiers Food for days 1200 ↓ 45 1000 ↑ x (let) Arrows show the opposite variation to each other 1200/1000 = x/45 Or, x = (1200 × 45)/1000 = 54 days.

Explanation:

If 2 men or 3 women or 4 boys can do a piece of work in 52 days, then the same piece of work will be done by 1 man . 1 woman and 1 boy in - Correct Answer 48 days in one day 1 man do, (1/2) (1/52) work 1 woman do (1/3)(1/52) work 1 boy do (1/4) (1/52) work three do 1/52 (1/2 + 1/3 + 1/4) work. (1/52)(26/24) = 1/48 1 work is done in 48 days ans: 48 days

Explanation:

If 2 kg of metal, of which 1/3 is zinc and the rest is copper s, be mixed with 3 kg of metal , of which 1/4 is zinc and the rest is copper , then what will be the ratio of zinc to copper in the mixture? Correct Answer 17 : 43 In 1st metal, Zinc = 2×(1/3) = 2/3 Copper = 2×(2/3) = (4/3) In 2nd metal, Zinc = 3×(1/4) = (3/4)  Copper = 3×(3/4) = (9/4)   New ratio , Zinc : Copper = {(2/3) + (3/4)} :{(4/3) + (9/4)} = {(8 + 9)/12}:{(16 + 27)/12} = (17/12):(43/12) = 17:43 (Ans)

Explanation:

The captain of Bangladesh Cricket Team is 26 years old and the wicket keeper is 4 years older . If the ages of these two are excluded,the average age of the remaining players is one year less than the average age of the whole team . What is the average age of the team ? Correct Answer None The BIMSTEC Permanent Secretariat is to be established in Dhaka with first SG to be nominated by Sri Lanka. India would be contributing 32% of the cost of Secretariat reflecting its strong commitment to BIMSTEC process.

Explanation:

Kalam has three daughters; Shaila , Meena and Tina. Three years ago, when Kalam was twice as old as Tina , he was 30 years older than sMeena Now he is 47 years older than Shaila In 4 years. Shaila will be half as old as Tina What is the sum of the current ages of Kalam and his three daughters ? Correct Answer 138 Let, Kalam = k; Shaila = S, Meena = M; Tina = TCoditionally, k - 3 = 2(T - 3) - - - - - - - - (i)                         k = M + 30 - - - - - - - - - (ii)                        k = S + 47 - - - - - - - - - - - - (iii)       2(S + 4) = T + 4or, 2S + 4 = TFrom (i) We get k - 3 = 2(2S + 4 - 3)or, k = 4S + 5From (iii)We get 4S + 5 = S + 47 = > 3S = 42S = 14k = 14 + 47 = 61M = 61 - 30 = 31T = 2x14 + 4 = 32 Total = 14 + 31 + 32 + 61 = 138 (Ans.)

Explanation:

Kalam bought two varieties of rice , costing Tk. 50 /kg and Tk. 60 /kg each , and mixed them in some ratio. Then he sold the mixture at Tk. 70/kg. Making a profit of 20% .What was the ratio of the mixture?- Correct Answer 1 : 5 A rectifier is an electrical device that converts alternating current, which periodically reverses direction, to direct current, which flows in only one direction. The process is known as rectification, since it "straightens" the direction of current.

Explanation:

Alim was hired for a job for 7 days . Each day, he was paid Tk. 10 more than what he was paid for the previous day of 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 TK. 90 চীন জিবুতিতে সামরিক ঘাঁটি স্থাপনের মাধ্যমে কৌশলগত সম্পর্ক স্থাপন করেছে।

Explanation:

০.১,২ এবং ৩ দ্বারা গঠিত চার অঙ্কের বৃহত্তম এবং ক্ষুদ্রতম সংখ্যার বিয়োগফল - সঠিক উত্তর ২১৮৭ ০,১,২,৩ দ্বারা গঠিত চার অংকের বৃহত্তম সংখ্যা ৩২১০ এবং ক্ষুদ্রতম সংখ্যা ১০২৩। এদের বিয়োগফল হবেঃ ৩২১০ - ১০২৩ = ২১৮৭।

Explanation:

১৭ সে.মি. , ১৫ সে.মি. ৮ সে.মি. বাহু বিশিষ্ট ত্রিভুজটি হবে - সঠিক উত্তর সমকোণী ব্যাখ্যাঃ (১৫)২ + ৮ ২ = ২২৫ + ৬৪ = ২৮৯ (১৫)২ + (৮)২ = (১৭) অর্থাৎ, ত্রিভুজটি সমকোণী

Explanation:

In a class, 120 students are male and 100 students are female , 25% of the male students and 20% of the female students are engineering students . 20% of the male engineering students and 25% of the female engineering students passed the final exam. What percentage of engineering students passed the exam ? Correct Answer 22% 107. বিদ্যুৎ শক্তিকে শব্দ শক্তিতে রুপান্তরিত করা হয় কোন যন্ত্রের মাধ্যমে - Loudspeaker

Explanation:

(x3)+4(x+1)=2 হলে , x এর মান কত? সঠিক উত্তর 3 Time - shared OS - এর জন্য scheduling policy সবচেয়ে ভাল - Shortest job first

Explanation:

১,১,২,৩,৫,৮,১৩,২১- ধারার ১০ তম পদ কত? সঠিক উত্তর ৫৫ সিপিইউ মানে “সেন্ট্রাল প্রসেসিং ইউনিট” (Central Processing Unit)। এটা সবচেয়ে গুরুত্বপূর্ণ অংশ যা সকল কাজ নির্দেশ অনুযায়ী সম্পাদন করে ফলাফল বের করে। সিপিইউ বলতে মূলতঃ প্রসেসরকেই বোঝানো হয়। প্রসেসর হল অসংখ্য একটি ইলেক্ট্রনিক সার্কিট যুক্ত ডিভাইস যা লজিক গেইট ব্যবহার করে প্রদত্ত তথ্য যাচাই করে তুলনামুলক তথ্য বের করতে পারে। প্রসেসরের মাঝে এই কাজ সম্পাদন করার জন্য যে অংশ থাকে তার নাম এএলইউ।

Explanation:

যদি a +b =2, ab=1 হয় তবে a এবং b এর মান যথাক্রমে - সঠিক উত্তর 1,1 অধোগতি - [বিশেষ্য পদ] অধঃপতন, নিম্নেগতি; হ্রাস, অবনতি; দুর্দশা, নরকপ্রাপ্তি (পরজন্মে) হীন - যোনি - জাত।[অধঃ + গতি, গমন]।,অধোগমন.

Explanation:

কোন লঘিষ্ঠ সংখ্যার সাথে ২ যোগ করলে যোগফল ১২, ১৮,২৪ দ্বারা বিভাজ্য হবে? সঠিক উত্তর ৭০ ব্যাখ্যাঃ ১২, ১৮ ও ২৪ এর ল. সা. গু. = ২ x ২ x ৩ x ৩ x ২ = ৭২ নির্ণেয় লঘিষ্ঠ সংখ্যা = ৭২ - ২ = ৭০

Explanation:

১১+২২+৩২+ ----- ৫০২=? সঠিক উত্তর ৪২৯২৫ একই সাথে ইনপুট এবং আউটপুট ডিভাইস হিসেবে কাজ করে - টার্চ স্ক্রিন ।

Explanation:

বৃত্তের ব্যাস তিনগুন বৃদ্ধি পেলে ক্ষেত্রফল কতগুণ বৃদ্ধি পাবে? সঠিক উত্তর ৯ গুণ বৃত্তের ব্যাস = ২r [r = ব্যাসার্ধ] বৃত্তের ক্ষেত্রফল = πr২ ব্যাস ৩ গুন বৃদ্ধি হলে হবে ৬r এবং ব্যাসার্ধ = ৩r ঐ বৃত্তের ক্ষেত্রফল = π(৩r)২ = ৯r২ ৯ গুন বৃদ্ধি পাবে

Explanation:

3x -7y +10 =0 এবং y-2x-3=0 এর সমাধান- Correct Answer x=-1 , y=1 ঢাকা থেকে হংকং হয়ে প্লেন নিউইয়র্ক যাওয়ার সময় দিনের সময় কালকে অপেক্ষাকৃত ছোট মনে হয়। কারণ: পৃথিবী সূর্যের চারদিকে ঘুরছে বলে.

Explanation:

The simple interest received on a sum of money at the end of 10 years is two times of the principle. At the same rate of interest, what would be the ratio of principal and compound interest received at the end of two years? Correct Answer 25 :11 ATQ, Pxrx10 = 2P Or, r = 1/5 Compound Interest = P{(1 + r)^n - 1} = P{(1 + 1/5)^2 - 1} = 0.44P The ratio of principal and compound interest = P/0.44P = 100/44 = 25:11

Explanation:

If a4+a2b2+b4 = a2+ab+b2 = 3, what is the value of a2+b2 ? Correct Answer 2 ধরে নেয়া যায়, a = 1 , b=1 , তাহলে সমীকরনের মান হয় 3, অতএব , a2 + b2 = 2

Explanation:

At what rate of profit a principle becomes Tk. 460 with simple profit in 3 years and Tk. 600 with simple profit in 5 years? Correct Answer 28% ৫ বছরের সুদাসল = ৬০০ টাকা ৩ বছরের সুদাসল = ৪৬০ টাকা ২ বছরের সুদাসল = (৬০০ - ৪৬০) = ১৪০ টাকা ১ বছরের সুদাসল = ১৪০/২ = ৭০ টাকা ৩ বছরের সুদাসল = ৭০ × ৩ = ২১০ টাকা আসল = ৪৬০ - ২১০ = ২৫০ টাকা ২৫০ টাকার সুদ = ৭০ টাকা ১ টাকার সুদ = ৭০/১৫০ = ৭/২৫ টাকা ১০০ টাকার সুদ = (৭ × ১০০)/২৫ = ২৮%

Explanation:

A number is 250 percent of another number . If the sum of the numbers is 98 . find the value of the larger number? Correct Answer 70 If the number is X , 250% is X= X*(250/100)SUM of the numbers is X+ 2.5X = 98So X= 28 and the Large number is 2.5*X =70