**Directions (1-5): Each of the questions given 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 questions. Read both the statements and give answer**

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

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

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

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

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

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**Ques 1.**

**What is the capacity of a conical flask whose height is 21m?**

**I.**Curved surface area of the flask is 3080m².

**II.**Slant height of the flask is five - fourths of the radius of the flask.

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**Ques 2.**

**The age of Rahul and Deepak are in the ratio of 8:9. What is the age of Rahul's wife, if she if eight years younger than Deepak?**

**I.**The age of Rahul the Trisha are in the ratio of 4:3.

**II.**After 8 years the ratio of the ages of Rahul and Trisha will be 5:4.

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**Ques 3.**

**The speed of which of the following trains is slower?**

**I.**Train X of length 400m crosses another Train Y of length 300m in 20 seconds moving towards each other.

**II.**Train X crosses a platform of length 200 in 30 seconds while Train Y crosses a pole in 20 seconds.

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**Ques 4.**

**Sumitra and Sushil started a business by investing the capitals in the ratio of 5:6 What is the amount of profit earned by Shilpa?**

**I.**Shilpa joined them after 6 months investing the same amount as Sushil. After one year profit was earned, 43% of which was equal Rs. 25585.

**II.**Shilpa joined them after 8 months investing the same amount as Sumitra.

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**Ques 5.**

**What will be the cost of 2 beds, 4 chairs and 3 tables?**

**I.**The cost of five chairs and three tables is Rs. 6220. The cost of one chair is Rs. 420 less than the cost of one table.

**II.**The cost of one bed is equal to the cost of 3 chairs and 2 tables.

### Answer :

**1. 3;**

From statement I;

From statement II;

**2. 5;**

From both statement I and statement II;

Rahul = 4x; Trisha = 3x

⇒ 16x + 32 = 15x + 40

∴ x = 8

Rahul's age = 32 years

∴ Deepak's age =

∴ Rahul's wife 's age = 36 - 8 = 28 years

**3. 5;**

**4. 1;**

From statement I;

Ratio of Sumrita, Sushil and Shilpa

= 12 x 5 : 12 x 6 : 6 x 6 = 5 : 6 : 3

Now, 43% = 25585

⇒ 100% = Rs. 59500

∴ Share of Shilpa = 3/14 x 59500 = Rs, 12750

**5. 5;**

From both statement I and statement II;

5C+ 3T = 6220 ....(i)

and C - T - 420 ....(ii)

Solving (i) and (ii)

5T - 2100 + 3T = 6220

8T = 8320 , IT, Rs. 1040, IC = Rs. 620

Cost of OB = 3C + 2T = 1860 + 2080 = Rs. 3940

∴ Required answer = 2B + 4C + 3T = Rs. 13480

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