Bissoy.com
Doctors Medicines MCQs Q&A

Two quantities I and II are given in the following questions. You have to find the values of both I and II by using your knowledge of mathematics and choose the most suitable relation between quantity I and II from the given options. Quantity I: Two persons A and B started a business with their certain initial capital. If A and B invested their capital in the business for 12 years and 8 years respectively and the ratio of their profit from the business is 21 : 16, then what is the initial capital invested by A if B invested Rs. 16000. (Consider only numerical value) Quantity II: Ratio of male to female who have a Visa card is 8 : 5 while the ratio of male to female who have a Master card is 4 : 7. The ratio of males who have a Visa card to those who have a Master card is 2 : 1. If the total number of males who have both cards is 15000 then find the total number of females who have both cards?

Two quantities I and II are given in the following questions. You have to find the values of both I and II by using your knowledge of mathematics and choose the most suitable relation between quantity I and II from the given options. Quantity I: Two persons A and B started a business with their certain initial capital. If A and B invested their capital in the business for 12 years and 8 years respectively and the ratio of their profit from the business is 21 : 16, then what is the initial capital invested by A if B invested Rs. 16000. (Consider only numerical value) Quantity II: Ratio of male to female who have a Visa card is 8 : 5 while the ratio of male to female who have a Master card is 4 : 7. The ratio of males who have a Visa card to those who have a Master card is 2 : 1. If the total number of males who have both cards is 15000 then find the total number of females who have both cards? Correct Answer Quantity I < Quantity II

Quantity I:

Suppose the profit share of A and B is ‘21x’ and ‘16x’ respectively.

Profit = Initial capital × Time

Initial capital = Profit/Time

⇒ Ratio of initial capital of A to B = (21x/12) : (16x/8) = 1.75 : 2 = 7 : 8

∵ B invested Rs. 16000

⇒ Amount invested by A = 16000 × 7/8 = Rs. 14000

Quantity II:

Suppose the number of males who have Visa card and Master card is ‘2x’ and ‘x’ respectively.

⇒ Number of females who have Visa card = 2x × (5/8) = 1.25x

⇒ Number of females who have Master card = x × (7/4) = 1.75x

Total number of males who have both cards = (2x + x) = 3x

Total number of females who have both cards = (1.25x + 1.75x) = 3x

⇒ Total number of females who have both cards = 15000

∴ Quantity I < Quantity II

Related Questions

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. 
Given below are two quantities named 1 and 2. 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 1: Amount invested by Samuel. Samuel gets Rs. 6750 out of total profit of Rs. 9000 And he invested Rs. 10000 more amount than his partner for 8 months and his partner Jack invested his amount for whole the year. Quantity 2: Share of Q, if the total profit at the end of the year is Rs. 86400. P, Q and R started a business with a total investment of Rs. 72,0000. P invested Rs. 60,000 more than Q and Q invested Rs. 30,000 less than R.
Given below are two quantities named 1 and 2. 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 1: The number of months for which Krishna invested. Gopal and Krishna started a partnership business. Gopal invested (2/5) of the capital for 15 months and Krishna got (4/9) of the profit. Quantity 2: The numerical value of the number. 50% of a number is added to the number and the resultant is multiplied by 100 then the result comes out be 1200.
Given below are two quantities named A and B. Based on the given information, you have to determine relation between the two quantities. You should use the given data and knowledge of Mathematics to choose between the possible answers. Quantity A: Number of ways in which 6 vacancies can be filled from the equal number of applications received from males and females. To maintain the gender ratio, the organization will have to select at least 4 females and number of applications received from males is equal to number to vacancies. Quantity B: Number of ways in which 4 socks taken out from a drawer having 4 pair of socks which are unbundled, does not make even a single correct pair.
Given below are 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 among the possible answer. Quantity A: Gopal and Krishna started a partnership business. Gopal invested 40% of the capital for 15 months and Krishna got 400/9% of the profit. Find the time for which Krishna invested. Quantity B: 50% of a number is added to the number and the resultant is multiplied by 100 then the result comes out be 1200. Find the numerical value of the number.
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. There are 'n' cards in a box marked with natural numbers from 1 to n. Given that the numbers are all less than 100. The number of pairs of cards having exactly the same digits in them but having a difference of 27 between them is 3 where 'n' is one such number. Now one card is chosen at random Quantity A: Probability that the card has prime numbers marked on it Quantity B: Probability that the card has a number that is either a multiple of 5 or 7
Smitha's collection of 113 greeting cards include a mix of birthday cards, new year cards, Diwali cards, Christmas cards, and a marriage anniversary card. The number of birthday cards is equal to the sum of all the others except the marriage anniversary card. The number of new year's cards is double the number of Diwali cards. Which in turn is double the number of Christmas cards. Then the ratio of the birthday cards to the Christmas cards in her collection is
Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. How many males are there in society A? I. Number of females in society B is 56 more than the number of males in society C. Society C has a total population(male and female combined) of 180. II. Society C has 20% more males than society A who makes 60% of the total population of society A and females in society A is equal to males in society B. 
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: A shopkeeper earns 20% profit by selling an item at Rs. P. If he increases the selling price by Rs. 90, he can make a profit of 35%. Find the value of P. Quantity 2: A shopkeeper earns x% profit even after allowing a discount of Rs. 126. Find the cost price of the article if the (x + 15)% profit is earned if no discount is offered. Quantity 3: When an article is sold for Rs. 984, the profit percentage is 4 times as much as when it is sold for Rs. 861. Find the cost price of the article. 
Two quantities I and II are given in the following questions. You have to find the values of both I and II by using your knowledge of mathematics and choose the most suitable relation between quantity I and II from the given options. Quantity I: A and B working alone can complete a piece of work in ‘x – 2’ days and ‘x + 6’ days respectively and the ratio of efficiencies of B and C is 3 : 4. If B and C together can finish the work in 48/7 days, then find the value of x. Quantity II: When the sum of the first 50 factorials is divided by 7, the remainder will be R. Find the value of 2R.