# ** Data sufficiency **

In data sufficiency, one question is given and two or three statements are also given

We have to find that whether statement 1, statement 2 or statement 3 is sufficient to give an answer or all together are necessary to answer the question.

# ** Practise set**

**Directions (1-5) :** Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read the question and both the statements and _

**Give answer (1)** if the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

**Give answer (2)** if the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

**Give answer (3)** if the data either in statement I alone or in statement II alone are sufficient to answer the question.

**Give answer (4)** if the data even in both the statements I and II together are not sufficient to answer the question.

**Give answer (5)** if the data in both the statements I and II together are necessary to answer the question.

**1. **Train ‘A’ running at a certain speed crosses another train ‘B’ running at a certain speed in the opposite direction in 12 seconds. What is the length of train ‘B’ ?

- The length of both the trains together is 450 metres.
- Train ‘A’ is slower than train ‘B’.

**2. **Area of a rectangle is equal to the area of a right angled triangle. What is the length of the rectangle ?

- The base of the triangle is 40 cm.
- The height of the triangle is 50 cm.

**3. **What was the total compound interest on a sum after three years ?

- The interest after one year was Rs.100/- and the sum was Rs. 1000/-.
- The difference between simple and compound interest on a sum of Rs. 1000/- at the end of two years was Rs. 10/-

**4.** What is the two digit number where the digit at the unit place is smaller ?

- The difference between the two digits is 5.
- The sum of the two digits is 7.

**5. **What is the speed of the boat in still water ?

- It takes two hours to cover distance between A and B down_stream.
- It takes 4 hours to cover distance between A and B up_stream.

**Directions (6-10):** Each of these questions consists of a question followed by information in three statements . you have to study the question and the statements and decide that information in which of the statements is / are necessary to answer the question .

**6.** What is the capacity of the cylindrical tank ?

- Radius of base is half of its height
- Area of base is 616 sq. m.
- Height of the cylinder is 28 metres.
- I and II only
- II and III only
- I and III only
- All I, II and III
- Any two of the three

**7. **What is the speed of the train ?

- The train crosses a signal pole in 18 seconds.
- The train crosses a platform of equal length in 36 seconds.
- Length of the train is 300 metres.
- I and III only
- II and III only
- I and II only
- III and either I or II only
- Any two of the three

**8. **What is the staff strength of company ‘X’ ?

- Male and female employees are in the ratio of 2:3 respectively.
- Of the officer employees 80% are males.
- Total number of officers is 132.
- I and III only
- II and either III or I only
- All I, II and III
- Any two of the three
- Question cannot be answered even with the information in all three statements

**9. **What is the two digit number ?

- Number obtained by interchanging the digits is more than the original number by 9.
- sum of the digits is 7
- Difference between the digits is 1.
- I and III only
- I and II only
- II and III only
- All I, II and III
- Question can not be answered even with the information in all three statements

**10. **How many articles were sold ?

- Total profit earned was Rs. 1596
- Cost price per article was Rs. 632
- Selling price per article was Rs. 765
- II and III only
- I and II only
- All I,II and III
- Any two of the three
- Question can not be answered even with the information in all three statements

**11. **What is the area of the right angled triangle ?

- Base of a triangle is X cm.
- Height of the triangle is Y cm.
- Hypotenuse of the triangle is z cm.
- Only I and II
- Only II
- Only II and III
- Any two of three
- None of these

**12. **What is the total cost of 4 kg of apples and 3 kg of mangoes together ?

- Cost of 2 kg of apples is Rs. 170 and one kg of mangoes is Rs. 50
- The total cost of 5 kg of apples and 4 kg of mangoes is Rs. 410
- Only I
- Only II
- both II and I
- Either I or II
- Question can not be answered even with the information in all the three statements

**13. **What are the marks scored by abhijit in english ?

- Marks scored by Abhijit in maths are more than his marks in science by 20.
- Total marks scored by Abhijit in maths, Science and English are 198.
- Marks scored by abhijit in science are more than his marks in english by 12
- Any two of three
- Only II and III
- All I, II and III
- Question cannot be answered even with the information in all the three statements
- None of these

**14.** What is Nikita’s share in the profit of Rs. 50’000 earned in the business run by her in partnership with Sharmila ?

- Nikita invested an amount 150% of the amount invested by sharmila.
- Amount invested by Sharmila is two – third of the amount invested by Nikita.
- Only I
- Only II
- both I and II together
- Either I or II
- Question cannot be answered even with the information in both the statements

**15. **What is the average age of the boys in the class ?

- The average age of girls in the class is 14.
- The number of boys in the class is twice the number of girls in the class
- Only I
- Only II
- both I and II together
- Either I or II
- Question cannot be answered even with the information in both the statements

**16.** What is the area of the given right angled triangle ?

- The length of hypotenuse is 5 cm.
- The perimeter of triangle is four times of its base.
- One of the angles of triangles is 60
- Only II
- Only III
- Either II or III
- Both I and III
- Question cannot be answered even with the information in all the three statements

**17. **What is the speed of the train ?

- Train crosses a signal post in 15 seconds.
- Train crosses a 250 metre long platform in 27 seconds.
- Train crosses another train running in the same direction on a parallel track in 32 seconds.
- I and II
- I and III
- II and III
- Any two of the three
- None of these

**18.** What is the cost of painting the two adjacent walls of a hall which has no windows or doors ?

- The area of the hall is 24 sq. metres
- Perimeter of hall is 48 m
- Area of one wall is 30 square metres
- Only I
- Only II
- Only III
- Either I or III
- Data inadequate

**19. **How many children are there in the class ?

- 20% children are there in the class who can speak hindi
- 44 children can speak language other than hindi
- There are 30 boys in the class.
- All I, II and III
- Any two of the three
- II and either I or II
- I and II only
- None of these

**20.** X,Y and Z are integers . Is X an odd number ?

- An odd number is obtained when X is divided by 5
- X + Y is an odd number.
- I only
- II only
- I or II
- Both I and II
- Question can not be answered with both the statements

**21.** In how many days will B alone complete the work ?

- A alone can do the work in 18 days. B is 20 % more efficient than A and C. 25% of work is done by B
- A and B together can finish the work in 8211days, B and C in 623days and C and A can do the same work in 715days.
- Only I
- Only II
- I or II
- Both I and II
- None of these

**22.** What is the circumference of semi-circle ?

- The area of semi-circle is half the area of parallelogram.
- The length of parallelogram is 1.5 times the radius of the semi-circle
- The difference between the length and breadth of parallelogram is 8 cm.
- Only II and III are sufficient
- Only I and II are sufficient
- Only I and III are sufficient
- All I,II and III are necessary to answer the question
- The question can not be answered even with all I,II and III

# Answers key

- 4
- 4
- 3
- 5
- 4
- 5
- 4
- 5
- 2
- 3
- 4
- 1
- 3
- 4
- 5
- 4
- 1
- 5
- 4
- 1
- 2
- 5