Bissoy.com
Doctors Medicines MCQs Q&A

In a province, the cities are divided into 3 categories, A, B and C. The ratio of number of cities of type A and B is 6 : 11, while that of cities of type B and C is 3 : 43. If the number of cities of type A is 918, then what is the total number of cities in province?

In a province, the cities are divided into 3 categories, A, B and C. The ratio of number of cities of type A and B is 6 : 11, while that of cities of type B and C is 3 : 43. If the number of cities of type A is 918, then what is the total number of cities in province? Correct Answer 26724

The ratio of number of cities of type A and B is 6 : 11, while that of cities of type B and C is 3 : 43.

LCM of 11 and 3 is 33.

Combined ratio of cities of type A, B and C will be 18 : 33 : 473.

Let number of cities of type A, B and C be 18T, 33T and 473T, respectively.

So, 18T = 918

⇒ T = 51

∴ Total number of cities = 18T + 33T + 473T = 524 × 51 = 26724

Related Questions

In a province, there are three types of cities: A, B and C. The number of cities A is 30% more than that of cities B and C together. Number of cities B is 20% of total cities. If the total number of cities is 10000, then how many type C cities are there?
Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. Two person X and Y together can make 25% of total number of bricks in 4.8 days. Another person Z can make 50 bricks in a day. What is the time taken by person X and Z together to make the total number of bricks? I. Dimensions of a brick is (3cm × 4cm × 5cm) while the dimension of a cuboids when all the bricks are put together is (72cm × 80cm × 50cm) and ratio of number of days taken by X and Y alone to make the total number of bricks is 3 : 2. II. The total number of bricks is 4800 and person Y can make 150 bricks in day. III. Total volume of all the bricks together is 1.008m3 and dimension of a bricks is (5cm × 6cm × 7cm) and time taken by Z to make total number of bricks is 200 % more than the total time taken by person Y to make total number of bricks.
There are three categories of jobs A, B and C. The average salary of the student who got the job of A and B categories is 26 lakh per annum. The average salary of the students who got the job of B and C category is 44 lakh per annum and the average salary of those students who got the job of A and C categories is 34 lakh per annum. The most appropriate (or closet) range of average salary of all the three categories (if it is known that each student gets only one category of jobs i.e. , A, B and C):
Quantity I: In a party, 75% of the total number of female is equal to 50% of the total number of male then the number of female is what percentage of the total number of person in the party?  Quantity II: In a school, 66.66% of the total number of girls is equal to 40% of the total number of boys then the total number of girls is what percentage of the total number of students of the school? 
A 40 cm long paper strip was cut into two strips in the ratio 5 ∶ 3. The longer strip was further divided into two strips in the ratio 4 ∶ 1, while the smaller strip was also divided into two strips in the ratio 3 ∶ 2. What is the difference between the lengths of the two shortest strips?
পিতা ও পুত্রের বয়সের অনুপাত ১১ঃ ৪ । পুত্রের বয়স ১৬ বছর হলে পিতার বয়স কত?
A bag is full of white balls. These balls are divided into two parts in the ratio 2 ∶ 1. The balls in the first part are further divided in ratio 4 ∶ 1 and painted red and yellow respectively. The balls from the second part are divided in the ratio 1 ∶ 3 and painted red and green respectively. If 37 balls were painted red, how many total balls are there?
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?
Study the following table and answer question. Number of students appeared in an examination from five cities: Cities No. of Students (in thousands) Ratio of students passed  and failed A 54 5 ∶ 04 B 126 4 ∶ 03 C 84 10 ∶ 11 D 96 9 ∶ 07 E 132 6 ∶ 05 The total number of students who appeared in the examination from cities C and D is what percent more than the total number of students who failed in cities A, B and E? (nearest to an integer)
Consider the following statements and identify which of the following are true? While calculating GDP, income generated by foreigners in a country is taken into consideration While calculating GDP, income generated by nationals of a country outside the country is taken into account While calculating GNP, income generated by foreigners in a country is taken into consideration While calculating GNP, income generated by nationals of a country outside the country is taken into account