If a:b = 2:3, b:c = 6:5 and c:d = 3:5 then find the value of a:b:c:da)18:25:12:18b)12:18:15:25c)25:18:15:12d)12:25:18:25Correct answer is option 'B'. Can you explain this answer?

Question

Answer

B

Answer

B) 12:18:15:25
Explanation : a:b = 2:3 = 12:18 b:c = 6:5 = 18:15 c:d = 3:5 = 15 :25 a:b:c:d = 12:18:15:25

Answer

Given:

a:b = 2:3

b:c = 6:5

c:d = 3:5

To find: a:b:c:d

Solution:

Let's assume the common ratio of a:b and b:c is x.

Then, we can write:

a = 2x and b = 3x

b = 6y and c = 5y

c = 3z and d = 5z

Now, we can substitute the values of b and c from the second and third ratios into the first ratio to get:

a:b:c:d = 2x:3x:5y:5z

We can simplify this by substituting the values of x, y, and z from the equations above:

a:b:c:d = 2:(3/2):(5/3):(5/9)

To convert these ratios into integers, we need to find the LCM of the denominators (2, 2, 3, 9), which is 18.

Multiplying each ratio by the appropriate factor, we get:

a:b:c:d = 2*9:3*9/2:5*6/3:5*2/9

a:b:c:d = 18:27:10:2.22 (approx)

The closest option is B) 12:18:15:25, which can be obtained by multiplying all the ratios by 6.

Therefore, the answer is B) 12:18:15:25.

Similar Quant Doubts

A train takes 5 sec to pass an electric pole. If the length of the train is 120 m, then the time taken by it to cross a railway platform 180 m long is

A certain function always obeys the rule: If f (x.y) = f(x). f(y) where x and y are positive realnumbers. A certain Mr. Mogambo found that the value of f (128) = 4, then find the value of thevariable M = f (0.5). f (1). f (2). f (4). f (8). f (16). f (32). f (64). f (128). f (256)

The minimum value of ax2 + bx + c is 7/8 at x = 5/4. Find the value of the expression at x = 5, ifthe value of the expression at x = 1 is 1.

Directions (16-20): Given below is the table which shows the 5 products sold by a manufacturer, % discount offered on marked price and % profit earned on cost price.If marked price of article A is 180 then find the cost price of article A.

An inlet pipe can fill a tank in 4 hours and an outlet pipe can empty a tank in 3/7 of a tank in 3h. Find the time taken to fill the tank if they start working alternately.

Top Courses for Quant

Suggested Free Tests

Related Content

Quant Courses

Related Exams

Related Question Answers

Related Searches

Company