**Study@Night: Data Sufficiency**

**Directions (Q. 1-5): Each of the questions below consists of a question and three statements denoted A, B and C are given below it. You have to study the questions and all the three statements and decide whether the question can be answered with any one or two of the statements or all the statements are required to answer the question.**

**1. What is R’s share of profit in a joint venture?**

(A) Q started a business investing Rs 80,000/-.

(B) R joined him after 3 months.

(C) P joined after 4 months with a capital of Rs 1,20,000 and got Rs 6,000 as his share of profit.

1) Only A and C are required

2) Only B and C are required

3) All A, B and C together are required

4) Even with all A, B and C the answer cannot be arrived at

5) None of these

**2. What is the area of a right-angled triangle?**

(A) The perimeter of the triangle is 30 cm.

(B) The ratio between the base and the height of the triangle is 5:12.

(C) The area of the triangle is equal to the area of a rectangle of length 10 cm.

1) Only B and C together are required

2) Only A and B together are required

3) Only either A or B and C together are required

4) Only A and C together are required

5) None of these

**3. What is the sum of two numbers?**

(A) The bigger of these two number is 6 more than the smaller number.

(B) 40% of the smaller number is equal to 30% of the bigger number.

(C) The ratio between half of the bigger number and one-third of the smaller number is 2:1.

1) Only B and C together are required

2) Only A and B together are required

3) Any two of A, B and C together are required

4) All A, B and C together are required

5) None of these

**4. How many marks did Arun get in English?**

(A) Arun secured an average of 60 marks in four subjects including English.

(B) He secured a total of 170 in English and Mathematics together.

(C) He secured a total of 180 in Mathematics and Science together.

1) All A, B and C together are required

2) Only A and B together are required

3) Only B and C together are required

4) Only A and C together are required

5) None of these

**5. What was the profit earned on the cost price by Mahesh by selling an article?**

(A) He got 15% concession on labelled price in buying that article.

(B) He sold it for Rs 3,060/.

(C) He earned a profit of 2% on the labelled price.

1) Only A and B together are required

2) Only B and C together are required

3) Only either A or C and B together are required

4) Even with all A, B and C the answer cannot be arrived at

5) All A, B and C together are required