Bissoy.com
Doctors Medicines MCQs Q&A

Given below are three quantities named A, B and C. Based on the given information, determine the relation among the three quantities. Bags X and Y contains Rs. 1, Rs. 2 and Rs. 5 coins in the ratio 6∶ 7∶ 4 and 9∶ 8∶ 5 respectively, such that the total money in the bags X and Y is in the ratio 6∶ 5. The total number of coins in bag X is 51. Quantity A: What is the difference between the number of Rs. 1 coins in the two bags? Quantity B: What is the difference between the number of Rs. 2 coins in the two bags? Quantity C: What is the difference between the number of Rs. 5 coins in the two bags?

Given below are three quantities named A, B and C. Based on the given information, determine the relation among the three quantities. Bags X and Y contains Rs. 1, Rs. 2 and Rs. 5 coins in the ratio 6∶ 7∶ 4 and 9∶ 8∶ 5 respectively, such that the total money in the bags X and Y is in the ratio 6∶ 5. The total number of coins in bag X is 51. Quantity A: What is the difference between the number of Rs. 1 coins in the two bags? Quantity B: What is the difference between the number of Rs. 2 coins in the two bags? Quantity C: What is the difference between the number of Rs. 5 coins in the two bags? Correct Answer Quantity A < Quantity B > Quantity C

Let the no. of Rs. 1, Rs. 2 and Rs. 5 coins in bag X be ‘6x’, ‘7x’ and ‘4x’ respectively

⇒ Total money in bag X = 6x + 14x + 20x = Rs. 40x

Let the no. of Rs. 1, Rs. 2 and Rs. 5 coins in bag Y be ‘9y’, ‘8y’ and ‘5y’ respectively

⇒ Total money in bag Y = 9y + 16y + 25y = Rs. 50y

∵ Ratio of total money in bags X & Y = 6∶ 5

⇒ 40x/50y = 6/5

⇒ x/y = 3/2      ----(1)

Now,

Total no. of coins in bags X = 51

⇒ No. of Rs. 1 coins in bag X = 6/17 × 51 = 18 = 6x

⇒ x = 3

Substituting in (1),

⇒ y = 2

Solving for Quantity A:

Quantity A = Difference between no. of Rs. 1 coins = 6x – 9y = 18 – 18 = 0

Solving for Quantity B:

Quantity A = Difference between no. of Rs. 2 coins = 7x – 8y = 21 – 16 = 5

Solving for Quantity C:

Quantity A = Difference between no. of Rs. 5 coins = 4x – 5y = 12 – 10 = 2

∴ Quantity A < Quantity B > Quantity C

Related Questions

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and knowledge of Mathematics to choose between the possible answers. There are two jars which contain different liquids in different quantities Quantity I∶ Quantity of water in Jar 1, if Jar 1 contains mixture of 230 litres which contain juice, water, coke and pepsi. Ratio of quantity of water to juice is 2 : 1 and juice to coke is also 2 ∶ 1 while the ratio of quantity of coke to pepsi is 3 ∶ 2 Quantity II∶ Quantity of water in Jar 2, if Jar 2 contains 10 litres of mixture more than jar 1 and contains juice, coke and water. Water, juice and coke is poured into the jar 8 times in the ratio 3 ∶ 2 ∶ 1. Every time the quantity of a liquid is same.
Given below are three quantities named A, B and C. Based on the given information, determine the relation among the three quantities. P invested Rs. 10000 more than Q in a business, but at the end of the year, they received profit in the ratio 11 ∶ 10, such that P received Rs. 2100 more than Q. R and S also invested in another business in the ratio 1 ∶ 2, but at the end of the year, they received profit in the ratio 6∶ 7, such that R received Rs. 2400 less than S. Quantity A: If P withdrew Rs. 10000 after 6 months of investment, how much money did he initially invested? Quantity B: If S withdrew Rs. 50000 after 4 months of investment, how much money did he initially invested? Quantity C: How much total profit did all four of them earned at the end of the year?
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose from the possible answers. Quantity A: The population of a company was 20000 three years ago. It is increased by 5%, 10% and N% respectively in the last three years. If the present population of the company is 24948, then the value of N is: Quantity B: A trader purchased 70 quantities of similar bags at a rate of Rs. 275 each. He fixed the marked price of each bag at Rs. 330 and allowed a discount of 10% on the marked price. What is the percentage profit?
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relation among the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. The options represent the relations among three quantities. A. < B. > C. ≤ D. ≥ E. = Quantity 1: There is a square field of side 4 meter. A flower bed is to be prepared in its centre, leaving a gravelled path of uniform length around the flowerbed. The cost of preparing the flowerbed and gravelling the path is Rs. 100 and Rs. 200 per square meter respectively. If the total cost is Rs. 1756 then find the double of  width of gravelled path. Quantity 2: The height of a cone is 45 cm. A small cone is cut from it parallel to the base. If the ratio of volume of small cone and the remaining part is 8 : 19 then what is the height from the base from where the cone was cut? Quantity 3: A cylindrical container of radius 60 cm and height 150 cm is filled with ice cream. 10 cones of equal volume need to be prepared from the whole ice-cream. These cones has hemispherical top and the height of the conical portion is 4 times the radius of hemisphere. Find radius of the hemisphere. 
Given below are three quantities named A, B and C. Based on the given information, determine the relation among the three quantities. Total number of pupils in three classes of a school is 1288. The ratio of children in three classes X, Y, Z is 39 : 64 : 58. In class X number of boys are 26 less than number of girls. Number of boys in class Y is 67.83% more than the number of boys in class X. And, girls in class Z are 25.36% less than the number of girls in class Y. (In calculating number of boys and girls, the decimal value must be rounded off to nearest whole number). Quantity A: Number of boys in class Z. Quantity B: Number of girls in class X. Quantity C: Number of girls in class Y.
Ashutosh has a box containing 8 identical red balls, 9 identical blue balls and 10 identical green balls. He is required to distribute all these balls into three bags A, B and C such that the total number of balls in bag A is more than that in bag B, which, in turn, is more than that in bag C. Moreover, he needs to ensure that the number or red balls in bag A is more than that in bag B which in turn is more than that in bag C, and similarly for the blue and green balls. In how many ways can he do this? Each bag must contain at least one ball of each type.
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: The ratio of the volumes of the quantities of milk and water in a mixture is 4 : 1. If 5 liters of water is further added to it, the new ratio becomes 3 : 2. Find the quantity of water in new mixture. Quantity B: In a mixture of 35 litres, the ratio of acid and water is 3 : 4. How much water should be added to the mixture to make the ratio 3 :5. Find the quantity of water is a new mixture.
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relation among the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. The options represent the relations among three quantities. A. < B. > C. ≤ D. ≥ E. = Quantity 1: Sumit invested Rs. X for 2 years at the rate of R% per annum simple interest. The interest obtained is Rs. 450 less than the interest obtained when the same sum is invested for 2 years at the rate of (R + 9)% per annum simple interest. Find the value of X. Quantity 2: Ankit invested Rs. Y for 2 years at the rate of 10% per annum compounded annually. The interest obtained is 795 less than the compound interest received by him when he invested a sum of Rs. 3000 for 2 years at the rate of 20% per annum compounded annually. Find the value of Y. Quantity 3: Difference of CI and SI obtained on a sum of Rs. Z when invested for 2 years at 10% per annum is Rs. 20. Find the value of Z. 
There are three types of bags. Bag A is filled with 3990 apples which are 57% of the total volume of the bag A, bag B is filled with 3710 oranges which are 53% of the volume of bag B and bag C is filled with 3280 papaya which is 41% of the volume of bag C. Find the total number of fruits which is filled in the blank space of the three bags.
Given below are three quantities named 1, 2 and 3. Based on the information, you have to determine the relation among the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. The options represent the relations among three quantities. A. <  B. = C. > D. ≤ E. ≥ Quantity 1: The average age of 36 students is 14 years. When the teacher’s age is included the average increases by 1 year. What is the age of the teacher? Quantity 2: The average salary of the entire staff in an office is Rs. 120 per month. The average salary of officers is Rs.460 and that of non- officers are Rs.110. if the number of officers is 15, then find the number of non-officers in the office. Quantity 3: 25