1 Answers

Option 4 : Any two

Considering statement I,

⇒ x + y + z = 41 × 3 = 123      ----(1)

Considering statement II,

⇒ x = 30% of y

⇒ y = (10/3) x      ----(2)

Also, x = 40% of z

⇒ z = (5/2) x      ----(3)

Considering statement III,

⇒ y + z = 6x - 3      ----(4)

Considering statements I and II,

Substituting (2) and (3) in (1),

⇒ x + (10/3) x + (5/2) x = 123

⇒ (41/6) x = 123

⇒ x = 18

Considering statements I and III,

Substituting (4) in (1),

⇒ x + 6x - 3 = 123

⇒ 7x = 126

⇒ x = 18

Considering statements II and III,

Substituting (2) and (3) in (4),

⇒ (10/3) x + (5/2) x = 6x - 3

⇒ 6x - (35/6) x = 3

⇒ (1/6) x = 3

⇒ x = 18

∴ The question can be answered using any two of the given statements
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