Can you explain the answer of this question below:If P : Q : = 8 : 15 and Q : R = 3 : 2, then find P : Q : RA:8 : 15 : 7 B:7 : 15 : 8C:8 : 15 : 10 D:10 : 15 : 8E:None of theseThe answer is c.

Question

Can you explain the answer of this question below:If P : Q : = 8 : 15 and Q : R = 3 : 2, then find P : Q : RA:8 : 15 : 7   B:7 : 15 : 8C:8 : 15 : 10      D:10 : 15 : 8E:None of theseThe answer is c.

Answer

Given that, P : Q = 8 : 15, Q : R = 3 : 2

P : Q : R = (8 x 3) : (15 x 3) : (15 x 2) = 24 : 45 : 30

∴ P : Q : R = 8 : 15 : 10

Here, consequent of first ratio should be equal to the antecedent of second ratio.

Answer

In these p:q=8:15 then In q: r q should be = to 15 so we have to multiply by 5 both denominator and numerator then we get 15:10 so the and. will be 8:15:10

Answer

To find the ratio P : Q : R, we need to combine the given ratios P : Q and Q : R.

Given:
P : Q = 8 : 15
Q : R = 3 : 2

We can combine these ratios by multiplying the ratios together. However, before doing so, we need to make sure the middle term (Q in this case) is the same in both ratios. To do this, we can multiply the second ratio by 5/3, which will make the middle terms of both ratios equal to 15.

So, multiplying the second ratio by 5/3, we get:
Q : R = (3 * 5/3) : (2 * 5/3)
Q : R = 5 : 10

Now that the middle term is the same, we can combine the ratios by multiplying them together:
P : Q : R = (P : Q) * (Q : R)
P : Q : R = (8 : 15) * (5 : 10)
P : Q : R = 8 * 5 : 15 * 5 : 15 * 10
P : Q : R = 40 : 75 : 150

Simplifying this ratio, we can divide all terms by the greatest common factor, which is 5:
P : Q : R = 8 : 15 : 30

Therefore, the correct answer is option C: 8 : 15 : 30.

Similar Quant Doubts

Top Courses for Quant

Related Content

Quant Courses

Related Exams

Related Question Answers

Related Searches

Company