You are given a question followed by two statements numbered I and II. You have to decide whether the data provided on the statements are sufficient to answer the question.
What is the value of 'x'?
Statements :
I. x + 2y = 6
II. 3x + 6y = 18

Question

Question

This question was previously asked in

NTPC CBT 2 2016 Previous Paper 6 (Held On: 18 Jan 2017 Shift 3)

Answer 1

Statement I:

⇒ x + 2y = 6

Here, we cannot find the value of x with the help of only one equation

Hence, Statement I alone is insufficient

Statement II:

⇒ 3x + 6y = 18

Here, we cannot find the value of x with the help of only one equation

Hence, Statement II alone is insufficient

From Statement I and II:

⇒ x + 2y = 6 ----(1)

⇒ 3x + 6y = 18 ----(2)

Multiplying equation (1) by 3 we get

⇒ 3(x + 2y) = 6 × 3

⇒ 3x + 6y = 18 ----(3)

Here, both equations (2) and (3) is same so we can not find the value of x

∴ Statements I and II together are not sufficient

Confusion Points

The second equation is only the multiple of first, so we cannot find the values of x and y