# Data Sufficiency

In data sufficiency questions, we are given a question and a set of statements. We have to find which of the given statements is required to reach the conclusion.

### Sample Problems

**Question 1 : **Question – Who is the tallest among the brothers A, B, C, D ?

Statement 1 : C is shorter than only B

Statement 2 : D is taller than only A

I) Statement 1 alone is sufficient

II) Statement 2 alone is sufficient

III) Both statement 1 and statement 2 together are sufficient

IV) Both statement 1 and statement 2 even together are not sufficient

**Solution : **If we consider statement 1 only, we can safely conclude that B is the tallest of all.

If we consider statement 2 only, we can safely conclude that A is the shortest of all.

Therefore, statement 1 alone is sufficient to answer the question.

**Question 2 : **What is the value of ‘x’

Statement 1 : x^{2} + x – 6 = 0

Statement 2 : x ≥ 0

I) Statement 1 alone is sufficient

II) Statement 2 alone is sufficient

III) Both statement 1 and statement 2 together are sufficient

IV) Both statement 1 and statement 2 even together are not sufficient

**Solution : **If we consider statement 1 alone, we have

x^{2} + x – 6 = 0

=> x^{2} + 3x – 2x – 6 = 0

=> (x + 3) (x – 2) = 0

=> x = -3, 2

If we consider statement 2 alone, we have x ≥ 0

Combining the two statements, we can safely say that x = 2

Therefore, both statement 1 and statement 2 together are sufficient but neither alone is sufficient.

This article has been contributed by **Nishant Arora**

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