CAT 2017 Quantitative Ability

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Question : 21 of 34

Marks: +1, -0

( x - y + z ) : ( y - z + 2 w ) : ( 2 x + z - w )

= 2 : 3 : 5

find the values of 5, where S is

(3x + 3z - 2w): w

.

7:1
6:1
13:2
None of these

Solution:

Let

(x - y + z) = 2k

,

(y - z + 2w) = 3k

and

(2x + z -w) = 5k

Then,

(x - y + z) + (y - z + 2w)

= 2k + 3k

= 5k = 2 x + z - w

or

x + z = 3w

∴

S = (3x + 3z - 2w): w = 7 : 1

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