Consider the following question and decide which of the statements is sufficient to answer the question.

Question:

Find the value of m, slope of a line.

Statements:

1) y = mx + 2

2) Line passes through (2, 1)

This question was previously asked in
RRC Group D Previous Paper 20 (Held On: 17 Dec 2018 Shift 1)
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  1. Only statement 2 is sufficient
  2. Either statement 1 or 2 is sufficient
  3. Only statement 1 is sufficient
  4. Both statements 1 and 2 are sufficient

Answer (Detailed Solution Below)

Option 4 : Both statements 1 and 2 are sufficient
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Detailed Solution

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Statement 1∶

y = mx + 2

We cannot find anything with statement 1.

Statement 2∶

Line passes thgough (2, 1)

We cannot find anything with statement 2.

Combining statement 1 and 2∶

∵ Line passes through (2, 1), it will satisfy the equation of line y = mx + 2

∴ Putting x = 2 and y = 1 in the equation of line

⇒ 1 = 2m + 2

⇒ m = -1/2

∴ Both statements 1 and 2 are sufficient.

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