# Data Sufficiency in Logical Reasoning

Data Sufficiency in Logical Reasoning is an important topic to prepare for competitive exams in India. It tests the logical, analytical and thinking capacity or ability of a candidate. Candidates need to practice the questions for scoring well in the examination

The following article contains various kinds of Data Sufficiency Questions. Candidates must go through the article to practice all the important questions of the topic.

## Tips and Tricks to Solve Data Sufficiency Questions

1. Read the entire question carefully before attempting it. Then go through the options to find the correct answer.

2. Use the information given in the question and avoid making any assumptions.

3. Both the statements must be carefully read and then a make a conclusion.

4. Avoid any kind of confusion and answer the question.

## Data Sufficiency Questions and Answers

### Given below is a question and a set of statements. We have to find which of the given statements is required to reach the conclusion.

**Q1. **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

**Q1.**

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

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.Solution :

**Q2. **What is the value of ‘x’

Statement 1 : x^{2} + x – 6 = 0

Statement 2 : x ≥ 0

**Q2.**

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

If we consider statement 1 alone, we have xSolution :^{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.

**Q3.** What is the sum of the ages of John and Peter?

Statement 1: John is 5 years older than Peter.

Statement 2: The average of their ages is 25.

**Q3.**

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

III) Both statement 1 and statement 2 together are sufficientAnswer:

**Q4.** What is the value of x in the equation x^2 + 6x + 9 = 0?

Statement 1: x = -3

Statement 2: The discriminant of the equation is zero.

**Q4.**

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

III) Both statement 1 and statement 2 together are sufficientAnswer:

**Q5. **Is triangle ABC an equilateral triangle?

Statement 1: The length of AB is equal to the length of AC.

Statement 2: The length of BC is equal to twice the length of AB.

**Q5.**

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

IV) Both statement 1 and statement 2 even together are not sufficientAnswer:

### Q6. What is the value of x in the equation 2x + 5 = 11?

Statement 1: x = 3

Statement 2: x is a prime number.

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

I) Statement 1 alone is sufficientAnswer:

### Q7. How much did Mr. Smith spend on his vacation?

Statement 1: Mr. Smith spent $500 on his flight ticket.

Statement 2: Mr. Smith spent $800 on his hotel stay.

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

III) Both statement 1 and statement 2 together are sufficientAnswer:

### Q8. Is the given rectangle a square?

Statement 1: The length of each side of the rectangle is 8 cm

Statement 2: The diagonals of the rectangle are equal in length.

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

III) Both statement 1 and statement 2 together are sufficientAnswer:

### Q9. What is the sum of the angles of a triangle?

Statement 1: One of the angles of the triangle is 60 degrees.

Statement 2: The triangle is an equilateral triangle.

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

II) Statement 2 alone is sufficientAnswer:

### Q10. What is the total number of students in a class?

Statement 1: There are 20 boys in the class.

Statement 2: The ratio of girls to boys in the class is 2:5.

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

III) Both statement 1 and statement 2 together are sufficientAnswer:

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