Explanation:

একটি স্কুলে ছাত্র-ছাত্রীর অনুপাত ৩ঃ৭। যদি স্কুলে ১৫০ জন ছাত্র ছাত্রী থাকে তাহলে ছাত্রের সংখ্যা কত? সঠিক উত্তর ৪৫ ছাত্র - ছাত্রীর অনুপাত ৩ঃ৭ ধরি, ছাত্রের সংখ্যা ৩ক ছাত্রীর সংখ্যা ৭ক প্রশ্নমতে, ৩ক + ৭ক = ১৫০ বা, ১০ক = ১৫০ অতএব,ক = ১৫ সুতরাং, ছাত্রের সংখ্যা = ৩*১৫ = ৪৫ জন উত্তরঃ ৪৫ জন

Explanation:

২টি সংখ্যার যোগফল ৮। যদি সংখ্যাগুলো ৩ঃ১ অনুপাতে থাকে , তবে সংখ্যাগুলোর গুণফল হবে- সঠিক উত্তর ১২ ধরি, সংখ্যাদ্বয় ৩ক ও ক। তাহলে,  ৩ক + ক = ৮ বা,  ৪ক = ৮ বা,  ক = ২ সুতরাং, সংখ্যাদ্বয়ের গুণফল = ৩ক x ক = ৩x২x২ = ১২

Explanation:

The average age of three persons is 30 years. If the ratio of three ages is 3 : 5 : 7, what is the age of the youngest person ? Correct Answer 18 years Total age of them = 30 x 3 = 90 years. Sum of the ratios = 3 + 5 + 7 = 15 So, the age of the youngest person = 3 / 15 x 90 = 18 years

Explanation:

A, B and C enter into partnership with investments in the ratio of 5 : 7 : 8. If, at the end of the year A's share of profit is Tk. 42360, how much is the total profit? Correct Answer Tk. 169,440 A's profit = 42,360 = 5x therefore x = 42,360/5 = 8472 total profit = 5x + 7x + 8x = 20x = 20*8472 total profit = 1,69,440 tk.

Explanation:

The angles of triangle of a triangle are in the ratio 2 : 3: 4. the largest angle in the triangle is: Correct Answer 80 Here, 2x + 3x + 4x + = 180 x = 20 4x = 80

Explanation:

In a school the ratio of boys to girls is 3 to 7 . If the total student is 150 then how many boys are there? Correct Answer 45 Every 10 total person has 3 boys Every 150 total person has = (3×150)/10 boys = 45 boys

Explanation:

A 140 liter mixture of milk and water contains 20% water. How much milk , in liter, must be added to the mixture so that the new mixture will contain a water and milk ratio of 1 : 7? Correct Answer 84 liter Amount of water in mixture = 20% of 140 = 20/100 of 140 = 28 liter Amount of milk in mixture = 140 - 28 = 112 liter For, new mixture, the amount of water remains the same. Now, milk : water = 7 : 1   milk / water = 7 / 1 or,  milk = 7 x water = 7 x 28 = 196 liter So, more milk needed = 196 - 112 = 84 liter

Explanation:

The ratio of boys and girls in a class is 1:2 and the class as 24 students . How many boys would have to be admitted to the class in order to make the ratio of boys to girls 1 : 1? Correct Answer 8 Boys = 24 × 1 / 1 + 2 = 8 Girls = 16 Now, ( 8 + x) ; 16 = 1 : 1 gives x = 8

Explanation:

In a class , the ratio of the number of boys to girls is 5 : 3 . What percent of the students of the class are girls ? Correct Answer 37.5% Summation of ratios = 5  + 3 = 8 So, percentage of girls = 3 / 8 x 100% = 37.5%

Explanation:

The present ages of three persons are in the ratio of 4: 7:9 Eight years ago, the sum of their ages was 56. what are their present ages in years? Correct Answer 16, 28, 36 Let, their present ages be, 4x, 7x, 9x respectively Then, ( 4x - 8) + ( 7x - 8) + ( 9x - 8) = 56 20x = 80 x = 4 Present ages are 4x = 16, 7x = 28 and 9x = 36 years

Explanation:

1 year ago the ratio between A's and B's sakary was 3:4. Rations of their individual salaries between last year's and this year's salaries are 4:5 & 2:3 respectively. At present the total of their salary is Tk. 4160. How much is the salary of A now? Correct Answer Tk 1600 ৩ : ৪ আগের বেতন এর অনুপাত, ধরি, আগে ৩০০ এবং ৪০০ পেত। আগে A ৩০০ পেলে এখন পায় = ৫/৪×৩০০ = ৩৭৫ আগে B ৪০০ পেলে এখন পায় = ৩/২×৪০০ = ৬০০ এখন পাওয়ার অনুপাত তাহলে ৩৭৫ : ৬০০ ৩৭৫ক + ৬০০ক = ৪১৬০ ৯৭৫ক = ৪১৬০ ক = ৪.২৬ তাহলে, A এর বেতন = ৩৭৫×৪.২৬ = Tk. 1600

Explanation:

Saif , Noman and Morshed divided a sum of money among themselves in the ratio 2: 3: 7 Find the share of Saif if the total share of saif and Noman together is Tk. 1,500 less than that of Morshed. Correct Answer Tk. 1,500 Let their shares be 2x, 3x and 7x respectively. ATQ,  7x - (2x + 3x) = 1500 or,  7x - 5x = 1500 or,  2x = 1500 So, share of Saif is 1500 TK.

Explanation:

In a 500 m race the ratio of the speeds of two contestants Ajmal and Badal is 3:4 . If Ajmal has a head start of 140 km then Ajmal wins by- Correct Answer 60m To reach the winning post Ajmal will have to cover a distance of (500 - 140)m = 360 m. While Ajmal covers 3 m, Badal covers 4 m. While Ajmal covers 360 m, Badal covers (4/3×360)m = 480 m. Thus, when Ajmal reaches the winning post, Badal covers 480 m and therefore remains 20 m behind. ∴ Ajmal wins by 20 m. (ans)

Explanation:

If the length of rectangle A is one -half of the length of rectangle B , and the width of rectangle A is one -half of the width of rectangle B, what is the ratio of the area of rectangle A to the area of rectangle B? Correct Answer 1/4 Rectangle B এর length = l,width = w, তাহলে A এর হবে 121,12w ∴ area এর অনুপাত = 121×12w1×w = 14

Explanation:

If Arif takes 5 minutes to make a box and Kalam takes 6 minutes to make the same box, what will be the ratio of the number of boxes produced by Airf to the number of boxes produced by Kalam if they work for 2 hours? Correct Answer 6 to 5  Time = 2hrs = 120 minutes Arif produces in 120 min = 120/5 = 24 boxes Kalam produces in 120 minutes = 120/6 = 20 boxes. Arif : Kalam = 24 : 20 = 5 : 4

Explanation:

Present age of Samad and Akmal are in the ratio of 5:4 respectively. Three years later, the ratio of their ages will become 11:9 respectively. What is Akmals present age? Correct Answer 24 Let their present ages be 5x and 4x respectively. Three years later, (5x + 3) : (4x + 3) = 11 : 9 or,  (5x + 3) / (4x + 3) = 11/9 or, 9(5x + 3) = 11(4x + 3) or,  45x + 27 = 44x + 33 or,  45x - 44x = 33 - 27 or,  x = 6 So, present age of Akmal = 4x = 4×6 =  24 years

Explanation:

The ratio between the length and breadth of a field is 7:5. The perimeter of the field is 360 meter. What is the area of the field ? Correct Answer 7875 sq. meter Let the length and breadth be 7x and 5x meters respectively. Then, perimeter,  2(7x + 5x) = 360 or,  2×12x = 360 or,  24x = 360 or,  x = 360/24 = 15 Area = length×breadth =   7x × 5x = 35x2  = 35×152  = 35×225 =  7875 m2

Explanation:

the angles of a triangle are in the ratio 5: 4: 3 How many degrees are there in the largest angle? Correct Answer 75 5x + 4x + 3x = 180∘⇒12x = 180∘⇒x = 15∘∴5x = 15∘×5 = 75∘

Explanation:

After taking 30 socks out of the dryer. Dina noticed that the ratio of blue socks to brown socks to black socks was 2 : 3 : 5. How many black socks were in the dryer? Correct Answer 15 অনুপাতের যোগফল = (2 + 3 + 5) = 10 Black মোজার সংখ্যা = 30 ×(5/10) = 15 টি

Explanation:

The angles of a triangle are in the ratio of 2 : 3 : 4. The largest angle in the triangle is : Correct Answer 80 degree the sum of all angles of a triangle is 180 . 2x + 3x + 4x = 180 = > 9x = 180  = > x = 180/9 ∴ x = 20 the largest angle is 20×4 = 80 degree

Explanation:

In a sugar -water solution , the ratio of water to sugar is 8: 3 . If you add 2 kgs of sugar, the ratio becomes 2 :1 what was the amount of sugar in the original solution ? Correct Answer 6 W : S = 8 : 3 W/S = 8/3 3W = 8S Again, W/(s + 2) = 2/1 1W = 2s + 4 3W = 6S + 12 8S = 6S + 12 S = 6

Explanation:

Present ages of Saleh and Anu are in the ratio of 5:4 respectively. Three years later, the ratio of their ages will become 11:9 respectively. What is Anu's present age in years? Correct Answer 24 Let, present age of Saleh = 5X      present age of Anu = 4Xas per condition,                             5X+34X+3 = 119 45X+27 = 44X+33 X = 6 So, the Anu's present age is = 4*6 = 24 years (Ans)

Explanation:

Salaries of A, B and C are in the ratio 2:4:6. Salary of Band C together is Tk. 12,000 By what percent is salary of C more than that of A? Correct Answer 200 Let, A as 2X,  B as 4X, C as 6X4X+6X = 1200X = 1200now, Salary of A = 2X = 2400         Salary of C = 6X = 7200C's salary is higher than A = 7200 - 2400 = 4800now, C = A * P%         4800 = 2400 * P100        P = 200C salary is 200% more than that salary of A (Ans.)

Explanation:

Cheese, egg and beef sandwiches were made for a picnic in a ratio of 5 to 7 to 8. If a total of 120 sandwiches were made, how many egg sandwiches were made ? Correct Answer 42 Egg Sandwiches = (120*7)/20 = 42

Explanation:

Saif, Dr. Nazma and Shakil divided a sum of money among themselves in the ratio 2:3:7 . Find the share of Saif if the total share of Saif and Dr. Nazma together is TK. 1500 less than that of Shakil. Correct Answer TK. 15000 [ বি. দ্র. : প্রশ্নে সঠিক উওর দেয়া নাই। সঠিক উওর হবে ১৫০০ টাকা। যেখানে মোট টাকার পরিমাণ ৯০০০ টাকা, সেখানে সাইফের অংশ কোনভাবেই ১৫০০০ হওয়া সম্ভব নয়। নিচে এর ব্যাখ্যা দেয়া হল...] ধরি, মোট টাকার পরিমাণ x আনুপাতিক রাশিগুলোর যোগফল = 2 + 3 + 7 = 12 সাইফের অংশ = x এর 2/12 = x/6 ডা. নাজমার অংশ = x এর 3/12 = x/4 শাকিলের অংশ = x এর 7/12 = 7x/12 প্রশ্নমতে, 7x/12 - ( x/6 + x/4) = 1500 = > 7x/12 - 5x/12 = 1500 = > 2x/12 = 1500 = > x/6 = 1500 = > x = 9000 মোট টাকার পরিমাণ 9000 টাকা৷ সাইফের অংশ = x/6 = 9000/6 = 1500 টাকা (উওর) ডা. নাজমার অংশ = x/4 = 9000/4 = 2250 টাকা শাকিলের অংশ = 7x/12 = 7*9000/12 = 5250 টাকা 1500 + 2250 + 5250 = 9000 টাকা। সে হিসেবে আমার মতামত, এই প্রশ্নের অপশনে ভুল আছে। সঠিক উওরটি নেই। সঠিক উওর হবে ১৫০০ টাকা।

Explanation:

A merchant sells a radio for Tk. 80 and thereby makes a profit of 25% of the cost. What is the ratio of cost to selling price? Correct Answer 4/5 at 25% profit, if cost price = 100, then sell price = 125 now, if sell price = 80, then cost price = (100*80)/125 = 64 so ratio = 64/80 = 4:5

Explanation:

Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are : Correct Answer 42, 33 Another students got = 100% - 56% = 44% of their total marks Difference = 56% - 44% = 12% 12% of the sum = 9 marks So, 100% of the sum = 9×100/12 = 75 marks So, one students got = 56% of 75 = 56/100×75 = 42 marks Then the other student got = 75 - 42 = 33 marks

Explanation:

একটি পাত্রে দুধ ও পানির অনুপাত ৫:২। যদি পানি অপেক্ষা দুধের ৬ লিটার বেশি হয় তবে পানির পরিমাণ কত? সঠিক উত্তর ৪ লিটার ধরি, দুধ ৫x ও পানি ২x প্রশ্নমতে, ৫x - ২x = ৬ বা, ৩x = ৬ বা, x = ২ পানি = ২*২ = ৪ লিটার ans.

Explanation:

দুটি সংখ্যার অনুপাত ৫ : ৮। উভয়ের সাথে ২ যোগ করলে অনুপাতটি ২ : ৩ হয়। সংখ্যা দুইটি কি কি? সঠিক উত্তর ১০ ও ১৬ মনে করি, একটি সংখ্যা ৫x অপর সংখ্যা ৮x প্রশ্ন মতে, (৫x + 2)/(৮x + 2) = 2ঃ৩ বা, (৫x + 2)/(৮x + ২) = ২/৩ বা, ১৬x + ৪ = ১৫x + ৬ সুতরাং, x = ২ একটি সংখ্যা - ৫*২ = ১০ অপর সংখ্যা = ৮*২ = ১৬

Explanation:

The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. The sum of the numbers is: Correct Answer 40 Let the numbers be 2x  and 3x Then, their L.C.M = 6x So, 6x = 48  x = 8  The numbers are 16 and 24  Hence, required sum = (16 + 24) = 40

Explanation:

Sazu is younger than Rabi by 4 years. If their age ratios are of 7 : 9 respectively, how pld is Sazu? Correct Answer 14 Years   LetageofRahulbex thenageofSachinwillbe = x−4 nowgivenratio (xx−4​) = (97​) 9(x−4) = 7x 9x−36 = 7x 2x = 36 x = 18 ∴ageofSachin = 18−4 = 14years

Explanation:

In a sugar-water solution, the ratio of water to sugar is 8:3. If you add 2 Kgs of sugar, the ratio become 2:1. What was the amount of sugar in the original solution? Correct Answer 6 W : S = 8 : 3 W/S = 8/3 3W = 8S Again, W/(s + 2) = 2/1 1W = 2s + 4 3W = 6S + 12 8S = 6S + 12 S = 6

Explanation:

The ratio of the cost price and the selling prices is 4:5. The profit percent is : Correct Answer 25% Let C.P. =   4x. Then, S.P. = 5x Gain = (5x – 4x) = Rs. x Gain % = (x * 100)/ 4x = 25%. ans: 25%.

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 Let the no.s be 3x,4x,5x then, 9x2 + 16x2 + 25x2 = 1250 ⟹50x2 = 1250 ⟹x = 5 Sum of numbers = 3x + 4x + 5x = 12x = 12x5 = 60 ans: 60

Explanation:

A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Tk. 855, the total profit is : Correct Answer Tk. 1500 Hints : Profit of A = 3 × Total profit × .95/3 + 2 855 = 3 × Total profit × .95 /5 Total profit = 1500

Explanation:

ধানে চাল ও তুষের অনুপাত ৭ : ৩ হলে এতে কি পরিমাণ চাল আছে? সঠিক উত্তর ৭০% চাল ও তুষের অনুপাত = ৭ঃ৩ অর্থাৎ, ১০ ভাগের মধ্যে চাল আছে ৭ ভাগ সুতরাং ১০০ ভাগের চাল আছে - ৭÷১০*১০০ = ৭০ ভাগ

Explanation:

In a sugar-water solution, the ration of water to sugar is 8 : 3. If you add 2 Kgs of sugar, the ratio becomes 2 : 1. What was the amount of sugar in the original solution? Correct Answer 6 W : S = 8 : 3 W/S = 8/3 3W = 8S Again, W/(s + 2) = 2/1 1W = 2s + 4 3W = 6S + 12 8S = 6S + 12 S = 6

Explanation:

দুইটি সংখ্যার অনুপাত ৫ঃ ৬ এবং তাদের ল. সা. গু ১২০ হলে সংখ্যা দুইটির গ. সা. গু কত? সঠিক উত্তর ৪ গ.সা.গু = ল.সা.গু÷অনুপাতগুলোর গুনফল। = ১২০÷ ৫*৬ = ১২০÷ ৩০ = ৪ উত্তর - ৪

Explanation:

কোনো ত্রিভুজের বাহুগুলোর অনুপাত নিচের কোনটি হলে, একটি সমকোণী ত্রিভুজ অঙ্কন হবে? সঠিক উত্তর ৩ঃ৪ঃ৫ সমকোণী ত্রিভুজের বাহুসমূহের কয়েকটি জনপ্রিয় অনুপাত হল, ৩,৪,৫; ১২,৫,১৩ ৬,৮,১০ এই অনুপাত সমূহের কারণ হল, পীথাগোরাসের উপপাদ্য। পীথাগোরাসের উপপাদ্য অনুযায়ী, অতিভুজ এর বর্গ হবে ভূমির বর্গ এবং লম্বের বর্গের সমষ্টি।

Explanation:

The ratio of the number of boys to that of girls in a class is 5 : 7. When 24 more boys enter, the ratio is reversed. How many girls are in the class? Correct Answer 35 Let, boys = 5x,   girls = 7x5x+247x = 7x5x 49x2 = 25x2+120x 24 x2 = 120x x = 5So, girls = 7x = 7*5 = 35 (Ans)

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:

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:

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:

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:

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:

In a 500m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has s start of 140 m. Then, A wins by : Correct Answer 10m Hints: Win post এ যেতে A কে যেতে হবে (500 - 140) বা 360meter যখন A যায় 3 meter, তখন B যায় 4 meter A যায় 360 meter তখন B যায় (4/3) × 360 = 480 meter তাই তখন A win post এ পৌছে যায়, B যায় 480 meter এবং 20 meter বাকি থাকে।

Explanation:

Ten years ago, A was half of B in age. If the ratio of their present age is 3 : 4, what will be the total of their present ages? Correct Answer None of these Hints: ধরি বর্তমানে তাদের বয়স 3x ও 4x প্রশ্নমতে, (3x - 10) = 1/2 (4x - 10) 6x - 20 = 4x - 10 2x = 10 x = 5 Total age = 3x + 4x = 7x = 7 × 5 = 35 সঠিক উত্তর নাই

Explanation:

A starts business with Tk. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital? Correct Answer Tk. 9000 Hints: ধরি, B এর মূলধন হয়ছে, 3500 × 12/ 7 × x = 2/3 14x = 126000 x = 9000

Explanation:

If the length of rectangle A is one-half the length of rectangle B, and the width of rectangle A is one-helf the width of rectangle B, what is the ratio of the area of rectangle A to the are of rectangle B? Correct Answer 1/4 Hints: rectarged B এর length l হলে A এর length = 1/2 l rectarged B length W এর width = 1/2 w ratio আয়তন = A/B = 1/2l × 1/2 w / l × w = 1/4