Properties of Ratios and Proportions

Question

Consider the following statements:

A) If $\frac{1}{x} : \frac{1}{y} : \frac{1}{z} = 2 : 3 : 5$ , then $x : y : z = 15 : 10 : 6$ B) If $4p = 6q = 9r$ , then $p : q : r = 9 : 6 : 4$ C) If $2A = 3B = 4C$ , then $A : B : C = 3 : 4 : 6$ D) If $P : Q : R = 2 : 3 : 4$ , then $\frac{P}{Q} : \frac{Q}{R} : \frac{R}{P} = 9 : 8 : 24$

Choose the correct answer from the options given below:

Accepted Answer

C. Let's test each statement: A) $x : y : z = \frac{1}{2} : \frac{1}{3} : \frac{1}{5} = 15 : 10 : 6$. (Correct) B) $p : q : r = \frac{1}{4} : \frac{1}{6} : \frac{1}{9} = 9 : 6 : 4$. (Correct) C) $A : B : C = \frac{1}{2} : \frac{1}{3} : \frac{1}{4} = 6 : 4 : 3 
eq 3 : 4 : 6$. (Incorrect) D) $\frac{P}{Q} : \frac{Q}{R} : \frac{R}{P} = \frac{2}{3} : \frac{3}{4} : \frac{4}{2} = 8 : 9 : 24 
eq 9 : 8 : 24$. (Incorrect) Thus, statements (A) and (B) are correct. Hence, Option C is correct.

Answer

(C) only

Answer

(D) only

Answer

(A) and (B) only

Answer

(C) and (D) only

Properties of Ratios and Proportions

Explanation

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