Question

p
has double the number of chocolates as Q has.
2. One-third of R's chocolates equals one-fourth of Q's chocolates.
3. R's chocolates equal three-fourth of P's chocolates.
If the first two statements are true, the third statement is:​

Answer 1

Answer:

false

Step-by-step explanation:

p = 2 Q

1/3 R = 1/4 Q

then R = 3/4 Q

R = 3/ 4 x 1 /2 P = 3/8 P

Answer 2

Answer:

If two statements are true then the third statement is false.

Step-by-step explanation:

Given statements

1) P has double the number of chocolates as Q has

2) One-third of R's chocolates equals one-fourth of Q's chocolates

3) R's chocolates equals to Three-fourth of P's chocolates

Let's assume that P has p number of  chocolates

                             Q has q number of chocolates

                              R has r number of chocolates  

From statement 1

Number of chocolates that P has, p = 2q

                                                        q = p/2

From statement 2

one-third of r = one-fourth of q

       ⇒     $\frac{1 r}{3} = \frac{q}{4}$  

       ⇒   4r = 3q

       ⇒    4r = 3(p/2)          [ ∵ q = p/2 ]

       ⇒     r = $\frac{3q}{8}$  _(4)

From statement 3

r = three-fourth of p  ⇒ r = 3p/4 _(5)

from (4) and (5) we can say that given statement 3 statements is  false.

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