**Directions (Q. 1-10): Each of the questions below consists of a question and two statements (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer**

- If the data in statement (I) alone is sufficient to answer the question, while the data in statement (II) alone is not sufficient.
- If the data in statement (II) alone is sufficient to answer the question while the data in statement (I) alone is not sufficient.
- If the data either in statement (I) alone or in statement (II) alone is sufficient to answer the question.
- If the data in both the statements (I) and (II) together are necessary to answer the question.
- If the data even in both the statements (I) and (II) together are not sufficient to answer the question.

**1. What is a two-digit number?**

- I. The difference between the digits of the number is 3.
- II. The difference between the number and the number obtained by interchanging the digits of the number is 27.

**2. What is the area of a rectangle?**

- I. It’s perimeter is 70 cm.
- II. The ratio of its length to its breadth is 3 : 2.

**3. What is the rate of compound interest on a sum of money?**

- I. The total CI at the end of two years is ₹ 528.
- II. Total simple interest on ₹ 450 at the same rate of interest at the end of two years is ₹ 180.

**4. What is the per cent profit earned by selling an item?**

- I. The net profit earned is ₹ 108.
- II. Had it been sold for ₹ 900 the net profit would have been ₹ 180.

**5. What will be the age of B?**

- I. The age of A is 4/7 that of B and the age of C is 10/7 that of B. The total age of A, B and C is 105 years.
- II. The age of B is 175% that of A the age of C is 250% that of A and the age of B is 70% that of C.

**6. If x + y + z = 27, what is the value of z?**

- I. x = 8
- II. z = 375% of y

**7. What is the rate of simple interest on which a man took a loan from the bank?**

- I. The man took a loan of ₹ 5000 for five years from the bank.
- II. The man returned ₹ 6700 to the bank at the end of two years and settled the loan.

**8. A rectangular floor is to be carpeted. What will be the cost of carpeting the floor?**

- I. The perimeter of the floor is 160 metres.
- II. The cost of carpeting per square metre is ₹ 16.

**9. What is the length of the train which crosses a pole in 4 seconds?**

- I. It crosses a 140-metre-long platform in 11 seconds.
- II. The speed of the train is 72 km/hr.

**10. What is the net profit earned by a person by selling a product at 25% profit?**

- I. The selling price of the product is ₹ 1212.50.
- II. The cost price is 80% of the selling price.

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**Answers :**

*5**4**2**4**1**4**4**5**3**1*

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