Ratio-Proportion MCQs
Showing 50 questions (Total: 917)
একজন লোক সপ্তাহে ৪৫০০ টাকা আয় করেন এবং ৩০০০ টাকা ব্যয় করেন। তার আয়ের সাথে সঞ্চয়ের অনুপাত হবে-
Correct Answer:
ক: ৩ : ১
Explanation:
একজন লোক সপ্তাহে ৪৫০০ টাকা আয় করেন এবং ৩০০০ টাকা ব্যয় করেন। তার আয়ের সাথে সঞ্চয়ের অনুপাত হবে- সঠিক উত্তর ৩ : ১ সঞ্চয় = ৪৫০০ - ১৫০০ টাকা ∴ আয় ⦂ সঞ্চয় = ৪৫০০⦂১৫০০ = ৩⦂১
A man buys some shirts and some ties. Shirts cost Tk. 7 each and the ties cost Tk. 30 each. If the man spends exactly Tk. 810 and buys the maximum number of shirts possible under these conditions, what is the ratio of shirts to ties?
Correct Answer:
C: 3 : 2
Explanation:
A man buys some shirts and some ties. Shirts cost Tk. 7 each and the ties cost Tk. 30 each. If the man spends exactly Tk. 810 and buys the maximum number of shirts possible under these conditions, what is the ratio of shirts to ties? Correct Answer 3 : 2 We can create the equation: 7S + 3T = 81 or,7S = 81 - 3T or,7S = 3(27 - T) or,S = 3(27 - T)/7 The greatest value of S will be obtained when T is as small as possible. The smallest value of T which produces a number divisible by 7 after substitution is 6, so when T is 6 we have: S = 3(21)/7 = 9 So, the ratio of S to T is 9 : 6 = 3 : 2.
A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in 1997 were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996?
Correct Answer:
A: 1 : 2
Explanation:
A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in 1997 were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996? Correct Answer 1 : 2 Let us say that the revenues from selling cars was 100x and from trucks was 100y in 1996, total revenue: 100x + 100y Revenue in 1997: from cars = 89x and trucks = 107y total revenue = 89x + 107y = 101x + 101y Solving the above total revenue equation we get: 12x = 6y or,x/y = 1/2 ∴x:y = 1:2
Two whole numbers whose sum is 64, cannot be in the ratio :
Correct Answer:
C: 3 : 4
Explanation:
Two whole numbers whose sum is 64, cannot be in the ratio : Correct Answer 3 : 4 The sum of their ratios must be a divisor of 64 i.e 1,2,4,8,12,16, 32 and 64. But, 3 + 4 = 7 which is not one of the divisors. So, the two numbers cannot be in this ratio 3:4.
A father's age was 5 times his son's age 5 years ago and will be 3 times son's age after 2 years. The ratio of their present ages is-
Correct Answer:
C: 10 : 3
Explanation:
A father's age was 5 times his son's age 5 years ago and will be 3 times son's age after 2 years. The ratio of their present ages is- Correct Answer 10 : 3 let, the present ages of the son and the father are a and b, respectively. The age of the father 5 years ago was five times the age of his son. a - 5 = 5(b - 5) or, a – 5 = 5b - 25 ∴ 5b - a = 20 - - - - - - - - - (1) 2 years hence, the father’s age will be thrice that of his son. a + 2 = 3(b + 2) or, a + 2 = 3b + 6 ∴ a – 3b = 4 - - - - - - - - - - - - (2) On adding (1) and (2), we get: 2b = 24 ∴b = 12 Substituting b = 12 in equation (2), we ge, a = 40 Ratio of their present ages = a:b = 40:12 = 10:3 ans: 10:3
Two different companies, X and Y, have the same number of workers. The ratio of the male workers in company X and the male workers in company Y is 2:1 and the ratio of female workers in both company is 4:5.What is the ratio of female workers to the male workers in Company X?
Correct Answer:
A: 1:2
Which of the following rations is the smallest ?
Correct Answer:
A: 7 : 15
If 1/3 of the workers in an office are smokers, what is the ratio of smokers to nonsmokers?
Correct Answer:
C: 1 : 2
Explanation:
If 1/3 of the workers in an office are smokers, what is the ratio of smokers to nonsmokers? Correct Answer 1 : 2 In every 3 person, 1 is smoker and is nonsmoker.
If A : B = 2 : 3, B : C = 4 : 5 and C : D = 6 : 7, what is the ratio between A to D ?
Correct Answer:
C: 16 : 35
Explanation:
If A : B = 2 : 3, B : C = 4 : 5 and C : D = 6 : 7, what is the ratio between A to D ? Correct Answer 16 : 35 A : B = 2 : 3 = (2 x 8) : (3 x 8) = 16 : 24 B : C = 4 : 5 = (4 x 6) : (5 x 6) = 24 : 30 C : D = 6 : 7 = (6 x 5) : (7 x 5) = 30 : 35 So, A : B : C : D = 16 : 24 : 30 : 35 Therefore, A : D = 16 : 35
What is the ratio of the students playing football in Class XI to those in Class X?
Correct Answer:
D: 3 :2
Explanation:
What is the ratio of the students playing football in Class XI to those in Class X? Correct Answer 3 :2 Class XI এবং X এর ফুটবলারদের অনুপাত = 2718 = 3:2
The ratio between the length and the perimeter of a rectangular plot is 1 : 3 and the ratio between the breadth and perimeter of that plot is 1 : 6 What is the ratio between the length and area of that plot?
Correct Answer:
A: 2 :1
Explanation:
The ratio between the length and the perimeter of a rectangular plot is 1 : 3 and the ratio between the breadth and perimeter of that plot is 1 : 6 What is the ratio between the length and area of that plot? Correct Answer 2 :1 দেওয়া আছে, L:P = 1; 3 = 2:6 and B:P = 1:6 L:B:P = 2:1:6 সুতরাং L:B = 2:1 Area 2×1 = 1
In a class their are 35 boys and 63 girls . Find out the ratio of boys to girls.
Correct Answer:
B: 5 : 9
Explanation:
In a class their are 35 boys and 63 girls . Find out the ratio of boys to girls. Correct Answer 5 : 9 35/63 = (5×7)/(9×7) = 5/9 = 5 : 9
What would be the ratio of x and y if 5x+9y=61 and 7x+3y=47?
Correct Answer:
A: 5:4
Explanation:
What would be the ratio of x and y if 5x+9y=61 and 7x+3y=47? Correct Answer 5:4 Solving those two equations, x = 5 and y = 4.So, x:y = 5:4
a salesman usually makes 25% profit on every radio he sells. During a sale, he reduces his profit margin to 20% while his sales increase by 10% what is the ratio of this new profit to his usual profit?
Correct Answer:
C: 22 : 25
Explanation:
a salesman usually makes 25% profit on every radio he sells. During a sale, he reduces his profit margin to 20% while his sales increase by 10% what is the ratio of this new profit to his usual profit? Correct Answer 22 : 25 New sale = 110% of usual sale New profit = 20% of 110% = 22% New profit : Usual profit = 22% : 25% = 22 : 25
If (3m = 2n) and (6n = 7k), What is the ratio of 'm' to 'k'?
Correct Answer:
A: 2 : 3
Explanation:
If (3m = 2n) and (6n = 7k), What is the ratio of 'm' to 'k'? Correct Answer 2 : 3 3:7
A recipe for 4 servings requires salt and pepper to be added in the ratio of 2: 3 . If the recipe is adjusted to make 8 servings, what is the ratio of the salt and pepper that must now be added?
Correct Answer:
C: 2 : 3
Explanation:
A recipe for 4 servings requires salt and pepper to be added in the ratio of 2: 3 . If the recipe is adjusted to make 8 servings, what is the ratio of the salt and pepper that must now be added? Correct Answer 2 : 3 Here, the number of servings just got doubled. But the ingredients of the recipe are unchanged. Therefore, salt and pepper will need to be added in the same ratio.
কোন ব্যবসায় ক, খ, ঘ এর মূলধন যথাক্রমে ৩২০, ৪০০ এবং ৪৮০ টাকা। তাদের মূলধনের অনুপাত কত?
Correct Answer:
খ: ৪ : ৫ : ৬
Explanation:
কোন ব্যবসায় ক, খ, ঘ এর মূলধন যথাক্রমে ৩২০, ৪০০ এবং ৪৮০ টাকা। তাদের মূলধনের অনুপাত কত? সঠিক উত্তর ৪ : ৫ : ৬ ৩২০ : ৪০০ : ৪৮০ = ৩২ : ৪০ : ৪৮ [ ১০০ দ্বারা ভাগ ] = ১৬ : ২০ : ২৪ [ ২ দ্বারা ভাগ ] = ৪ : ৫ : ৬ [ ৪ দ্বারা ভাগ ]
In what ratio must a grocer mix two varieties of tea worth Tk.60 per kg and Tk.80 per kg that by selling the mixture at Tk.68.20per 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 Tk.80 per kg that by selling the mixture at Tk.68.20per kg he may gain 10%? Correct Answer 3:2 ***The question is erroneous... Let the mixture be made up of x kg tea of worth TK 60 per kg and y kg tea of worth TK. 80 per kg. Total cost price = 60x + 80y Total selling price = 68.2(x + y) Now, {68.2(x + y) - (60x + 80y)} / (60x + 80y) = 10/100 or, (68.2x + 68.2y - 60x - 80y) / (60x + 80y) = 1/10 or, (8.2x - 11.8y) / (60x + 80y) = 1/10 or, 82x - 118y = 60x + 80y or, 82x - 60x = 80y + 118y or, 22x = 198y or, x / y = 198 / 22 or, x / y = 9 / 1 So, x : y = 9 : 1
Two outlets of a motor manufacturing company reported that revenue from outlet x in 2013 was down 11 percent from 2012. and revenue from outlet Y in 2013 were up 7 percent from 2012. If total revenue from outlet X & Y in 2013 was up 1 percent from 2012, what is the ratio of revenue from outlet X in 2012 revenue from outlet Y in 2012?
Correct Answer:
A: 1 : 2
Explanation:
Two outlets of a motor manufacturing company reported that revenue from outlet x in 2013 was down 11 percent from 2012. and revenue from outlet Y in 2013 were up 7 percent from 2012. If total revenue from outlet X & Y in 2013 was up 1 percent from 2012, what is the ratio of revenue from outlet X in 2012 revenue from outlet Y in 2012? Correct Answer 1 : 2 Total out lets of X in 2012 = 11 - 1 = 10 and total out lets of Y in 2012 = 7 + 1 = 8 the ratio between two outlet , X : Y = 10 : 8 = 5 : 4
A box contains 48 balls some red and some black. Each of the followings could be the ratio of red to black balls except ---
Correct Answer:
C: 4:3
Explanation:
A box contains 48 balls some red and some black. Each of the followings could be the ratio of red to black balls except --- Correct Answer 4:3 48 can not be divided by (4 + 3 = 7). So, the balls can not be divided into 4:3 ratio.
If a and b are integers greater than 100 such that a+b =300 , which of the following could be the exact ratio of a to b?
Correct Answer:
A: 9 to 1
Explanation:
If a and b are integers greater than 100 such that a+b =300 , which of the following could be the exact ratio of a to b? Correct Answer 9 to 1 এটি করার জন্য Answer দেখে মিলাতে হবে। ধরি E option সঠিক ⇒3x + 2x = 300 ⇒5x = 300 ⇒x = 60 ⸫ a = 3x = 180, b = 2x = 120 দুটিই 100 থেকে বড়। অন্যগুলোর ক্ষেত্রে একটি 100 থেকে ছোট হয়।
Tom, Dick and Harry went for lunch to a restaurant. Tom had Tk. 100 with him. Dick had Tk. 60 and Harry had Tk . 40. They got a bill for Tk. 104 and decided to give a tip of Tk. 16 . They further decided to share the total expenses in the ratio of the amounts of money each carried . They amount of money which Tompaid more than what Harry paid is Tk.---
Correct Answer:
B: 36
Explanation:
Tom, Dick and Harry went for lunch to a restaurant. Tom had Tk. 100 with him. Dick had Tk. 60 and Harry had Tk . 40. They got a bill for Tk. 104 and decided to give a tip of Tk. 16 . They further decided to share the total expenses in the ratio of the amounts of money each carried . They amount of money which Tompaid more than what Harry paid is Tk.--- Correct Answer 36 Total pay = 104 + 16 = 120 TK Now, Tom : Dick : Harry = 100 : 60 : 40 = 5 : 3 : 2 So, Tom paid = 5 / (5 + 3 + 2) × 120 = 60 TK Harry paid = 2 / (5 + 3 + 2) × 120 = 24 TK Tom more paid than Harry = 60 - 24 = 36 TK
Due to the recession, a show room reported that revenue from luxury car sales were down by 11% and revenue from economy car sales were up by 7% . If the total revenue were up by 1% then what is the ratio of revenue from luxury car sales to revenue from economy car sales ?
Correct Answer:
D: 1:2
Explanation:
Due to the recession, a show room reported that revenue from luxury car sales were down by 11% and revenue from economy car sales were up by 7% . If the total revenue were up by 1% then what is the ratio of revenue from luxury car sales to revenue from economy car sales ? Correct Answer 1:2 Let the usual revenues be L and E respectively. So, total usual revenue is (L + E). New revenue from luxury car sales = L - 11% of L = L - 0.11L = 0.89L New revenue from economy car sales = E - 7% of E = E - 0.07E = 1.07E New total revenue = 0.89L + 1.07E ATQ, {(0.89L + 1.07E) - (L + E)} / (L + E) = 1/100 or, 100(0.89L + 1.07E - L - E) = L + E or, 100(0.07E - 0.11L) = L + E or, 7E - 11L = L + E or. 11L + L = 7E - E or, 12L = 6E or, L/E = 6/12 = 1/2 or, L : E = 1 : 2
In a shipment of computers, 1% of the computers are defective. What is the ratio of defective to non-defective computers?
Correct Answer:
C: 1 : 99
Explanation:
In a shipment of computers, 1% of the computers are defective. What is the ratio of defective to non-defective computers? Correct Answer 1 : 99 Defective=1%non-defective=99%defective : non-defective = 1 : 99
Which of the ratio is the largest?
Correct Answer:
C: 7 : 11
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
If A is 4/6 of B and B is 6/8 of C, what is the ratio of C:A?
Correct Answer:
C: 2 : 1
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
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:
D: 4: 3
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)
X is 4/6 of Y and Y is 9/8 of Z. what is the ratio of Z:X?
Correct Answer:
C: 2 :1
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
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:
D: 14 : 2 : 1
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
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:
D: 5:1
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.
A jar contains black and white marbles. If there are ten marbles in the jar, all of the following could be the ratio of black and whit marbles EXCEPT:
Correct Answer:
A: 9:1
In a class of 25 students 44% are boys. What is the ratio of girls in the class?
Correct Answer:
A: 11 : 14
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
If 3x=2y and 6y=7z, what is the ratio of x to z?
Correct Answer:
A: 7:9
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
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:
D: 5:1
A man buys some shirts and some ties. Shirts cost Tk.70 each and the ties cost Tk. 30 each. If the man spends exactly Tk. 810 and buys the maximum number of shirts possible under these conditions, what is the ratio of shirts to ties?
Correct Answer:
C: 3:2
35% of Rashed's income is equal to 25% of Mithu's income. The ratio of their income is -
Correct Answer:
A: 5:7
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
Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnership for 14 months, 8 months and 7 months respectively. What was the ration of their investments?
Correct Answer:
B: 20 : 49 : 64
Explanation:
Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnership for 14 months, 8 months and 7 months respectively. What was the ration of their investments? Correct Answer 20 : 49 : 64 Hints: let the investment Take was x for 14 months, y for 8 months and z for 7 months 14x : 8y : 7z = 5: 7 : 8 so, 14x/8y = 5/7 y = 49x/20 and 14x/7z = 5/8 z = 16x / 5 x : y : z = x : 49x/20 : 16x /5 = 20 : 49 : 64
Two numbers are respectively 20% and 50% mor than a third number. The ratio of the two numbers is :
Correct Answer:
C: 4 : 5
Explanation:
Two numbers are respectively 20% and 50% mor than a third number. The ratio of the two numbers is : Correct Answer 4 : 5 Hint: 120/ 150 = 4/ 5 = 4 : 5
One year abo the ratio of Arman and Ananda's age was 4:5 . One year hence the ratio of their ages will be 5:6 . What is the age of Ananda at present ?
Correct Answer:
A: 9 year
Explanation:
One year abo the ratio of Arman and Ananda's age was 4:5 . One year hence the ratio of their ages will be 5:6 . What is the age of Ananda at present ? Correct Answer 9 year Let Arman's and Ananda's ages one year ago be 4x and 5x, respectively. Then their ages 1 year hence are (4x+1) years and (5x+1) years. ⇒ (4x+1/5x+1) = 5/6 or x=1 Hence, Ananda's present age =5x+1=6 years
Two-fifths of the socks in box are , one-third is blue, and the rest are green. What is the ratio of the green socks to the blue socks?
Correct Answer:
A: 4:5
Explanation:
Two-fifths of the socks in box are , one-third is blue, and the rest are green. What is the ratio of the green socks to the blue socks? Correct Answer 4:5 Red socks = 2/5 of total Blue socks = 1/3 of total Rest are green, so green socks = 1 - 2/5 + 1/3 = 1 - (6 + 5)/15 = 1 - 11/15 = (15 - 11)/15 = 4/15 of total Hence, ratio of green to blue socks = 4/15 : 1/3 = 4 : 5 So, the correct answer choice is option 1
Two numbers A and B are such that the sum of 5% A and 4% of B is two - third of the sum o f 6% A and 8% of B. what is the ratio of A and B.
Correct Answer:
D: 4: 3
Explanation:
Two numbers A and B are such that the sum of 5% A and 4% of B is two - third of the sum o f 6% A and 8% of B. what is the ratio of A and B. Correct Answer 4: 3 According to question, 5A100 + 4B100 = 23×6A100 + 8B100⇒5A + 4B = 23×6A + 8B⇒3×5A + 4B = 2×6A + 8B⇒15A + 12B = 12A + 16B⇒3a = 4B∴A:B = 4:3
In what ratio must tea at Tk. 62 per kg be mixed with tea at Tk. 72 per kg so that the mixture must be worth Tk. 64.50 per kg?
Correct Answer:
A: 3 : 1
Explanation:
In what ratio must tea at Tk. 62 per kg be mixed with tea at Tk. 72 per kg so that the mixture must be worth Tk. 64.50 per kg? Correct Answer 3 : 1 Hints: এটি ans দেখে মিলাতে হবে। 3:1 নিলে মিলে যায় 62 × 3 + 72 × 1/3 + 1 = 64.5
এক টিভি বিক্রেতা ৪৫% লাভে টিভি বিক্রি করত। মন্দার কারণে সে তার লাভের হার ৪০% করে এবং এত তার বিক্রয় ১০% বেড়ে যায়। তার নতুন লাভ ও আগের লাভের অনুপাত কত?
Correct Answer:
ঘ: ৪৪:৪৫
Explanation:
এক টিভি বিক্রেতা ৪৫% লাভে টিভি বিক্রি করত। মন্দার কারণে সে তার লাভের হার ৪০% করে এবং এত তার বিক্রয় ১০% বেড়ে যায়। তার নতুন লাভ ও আগের লাভের অনুপাত কত? সঠিক উত্তর ৪৪:৪৫ ধরি, ১টি টিভির ক্রয়মূল্য ১০০ টাকা ৪৫% লাভে টিভি বিক্রির সংখ্যা x টি ১টি টিভিতে লাভ করে ৪৫ টাকা x টি " " " ৪৫x " 10% বেশি বিক্রিতে টেলিভিশনের সংখ্যা (x + x এর ১০%) = ১১x/১০ টি ৪০% লাভে মোট লাভের পরিমাণ (৪০ * ১১X/১০) টাকা = ৪৪x টাকা নতুন লাভ ঃ আগের লাভ = ৪৪x : ৪৫x = ৪৪ ঃ ৪৫
একটি বাঘ একটি হরিণকে ধরার জন্য তাড়া করে। বাঘ যে সময়ে ৪ বার লাফ দেয়, হরিণ সে সময়ে ৫ বার লাফ দেয়। কিন্তু হরিণ ৪ লাফে যতদূর যায়, বাঘ ৩ লাফে ততদূর যায়। বাঘ ও হরিণের গতিবেগের অনুপাত কত?
Correct Answer:
গ: ১৬:১৫
দুইটি গোলকের আয়তনের অনুপাত ৮:২৭। তাদের ক্ষেত্রফলের অনুপাত কত?
Correct Answer:
ক: ৪:৯
Explanation:
দুইটি গোলকের আয়তনের অনুপাত ৮:২৭। তাদের ক্ষেত্রফলের অনুপাত কত? সঠিক উত্তর ৪:৯ গোলকের আয়তন = ৪/৩ πr3প্রশ্নমতে, ( ৪/৩πr13) / ( ৪/৩ πr23) = ৮/২৭r13/ r23 = ৮/২৭( r1/r2)3 = ( ২/৩)3r1/ r2 = ২/৩r12/r22 = ৪/৯৪πr12/ ৪πr22 = ৪/৯গোলকের ক্ষেত্রফলের অনুপাত = ৪ : ৯
Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. What is the ratio of A and B?
Correct Answer:
B: 2 : 3
Explanation:
Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. What is the ratio of A and B? Correct Answer 2 : 3 ব্যাখাঃ প্রশ্ন অনুযায়ী, 5A/100 + 4B/100 = 2/3 ×[ 6A/100 + 8B/100] 5A + 4B = 2/3 × [ 6A + 8B] 3×[5A + 4B] = 2[6A + 8B] 15A + 12B = 12A + 16B 3A = 4B A : B = 4 : 3
If a carton containing a dozen mirrors is dropped. which of the following cannot be the ratio of broken mirrors to unbroken mirrors?
Correct Answer:
C: 3 : 2
Explanation:
If a carton containing a dozen mirrors is dropped. which of the following cannot be the ratio of broken mirrors to unbroken mirrors? Correct Answer 3 : 2 Hints: Sum of the x : y relation should add up to 12 or factor of 12 যেহেতু এক dozen বা 12 টি mirror আছে। সুতরাং সঠিক উত্তরঃ 3 : 2
In a certain English class, 1/4 of the number of girls is equal to 1/6 of the total number of students. What is the ratio of the number of boys to the number of girls in the class?
Correct Answer:
C: 1:2
কোনো ত্রিভুজের বাহুগুলোর অনুপাত নিচের কোনটি হলে ত্রিভুজটি একটি সমকোণী ত্রিভুজ হবে?
Correct Answer:
গ: ৯ : ১২ : ১৫
Explanation:
কোনো ত্রিভুজের বাহুগুলোর অনুপাত নিচের কোনটি হলে ত্রিভুজটি একটি সমকোণী ত্রিভুজ হবে? সঠিক উত্তর ৯ : ১২ : ১৫ সমকোণী ত্রিভুজের ক্ষেত্রে,92+(12)2=(15)281+144=225225=225
দুটি বৃত্তের ব্যাসার্ধের অনুপাত ৩ : ২, বৃত্ত দুটির আয়তনের অনুপাত কত হবে?
Correct Answer:
ঘ: ৯ : ৪
Explanation:
দুটি বৃত্তের ব্যাসার্ধের অনুপাত ৩ : ২, বৃত্ত দুটির আয়তনের অনুপাত কত হবে? সঠিক উত্তর ৯ : ৪ বৃত্তের আয়তন হয় না । বৃত্তের ক্ষেত্রফল = πr২ ; এখানে r = বৃত্তের ব্যাসার্ধ । বৃত্তদ্বয়ের ক্ষেত্রফল অনুপাত = π×৩২ : π×২২ = ৯:৪