### Directions: 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 both the statements and give the answer:

**1. What is the marked price of the shirt?**

**I.**A shopkeeper purchases 2 shirts for 2200 Rs. and earns 55 Rs. per shirt after giving 23% discount.

**II.**A shopkeeper marks the price 36% more than the cost price and earns 200 Rs. after giving some discount.

B The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C The data in statements I alone or in statement II alone is sufficient to answer the question.

D The data in both the statements I and II is not sufficient to answer the question.

E The data in both the statements I and II together is necessary to answer the question.

A

**From Statement I:**

**The cost price of a shirt = 1100 Rs.**

**Selling price = 1100 + 55 = 1155 Rs.**

**Marked price = 1155 / 77 × 100 = 1500 Rs.**

**Statement I is sufficient to answer the question.**

**From Statement II:**

**Let the cost price = x Rs.**

**Marked price = x × 136% = 1.36x**

**Selling price = x + 200**

**Statement II is not sufficient to answer the question.**

**Hence, option A is correct.**

**2. What is the present age of Sanjeev?**

**I. Sanjeev is 4 years younger than Anuj. The ratio of the age of Anuj and Vipin is 4 : 5.**

**II. Vipin is 1 year older than Sanjeev and the present age of Anuj is 20 years.**

**III. The present age of Sanjeev is 5 years less than the age of Mohan.**

A The data in statements I and II are sufficient to answer the question, while the data in statement III alone is not sufficient to answer the question.

B The data in statements II alone is sufficient to answer the question, while the data in statement I and III are not sufficient to answer the question.

C The data in statements I alone or in statement II alone or Statement III alone is sufficient to answer the question.

D The data in all the statements I, II and III are not sufficient to answer the question.

E The data in all the statements I, II and III together are necessary to answer the question.

**Correct Option: A**

**From Statement I:**

**Let Anuj = 4x, Vipin = 5x**

**Sanjeev = 4x + 4**

**From Statement II:**

**Anuj = 20 years, Sanjeev = x, Vipin = x + 1**

**Statement III:**

**Let age of Mohan = m years**

**Sanjeev = m – 5 years**

**From Statement I + Statement II:**

**Anuj = 20 years, Vipin = 20/4x × 5x = 25 years**

**Sanjeev = 25 – 1 = 24 years**

**Statement I and II both are necessary to answer the question.**

**Hence, option A is correct.**

#### 3. What is the length of the train X?

I. Two trains X and Y running in opposite directions and cross each other in 25 seconds.

**II. The length of the train Y is 320m and the difference between the speeds of trains X and Y is 14 km/h.**

**III. The ratio of the speed of the trains is 19 : 26.**

A The data in statements I and statements II are sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

B The data in statements II alone is sufficient to answer the question, while the data in statement I and III is not sufficient to answer the question.

C The data in statements I alone or in statement II alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

D The data in all the statements I, II and III is not sufficient to answer the question.

E The data in all the statements I, II and III together is necessary to answer the question.

**Correct Option: E**

**From Statement I:**

**Time = 25 seconds**

**Relative speed = length of trains/time**

**= length of trains/25**

**From Statement II:**

**Length of train Y = 320m**

**Difference of speed = 14 km/h**

**From Statement III:**

**Let the speeds = 19x, 26x**

**Statement I + Statement II + Statement III**

**26x – 19x = 14**

**7x = 14**

**x = 2**

**Speed = 52 km/h, 38 km/h**

**(52 + 38) × 5 /18= (a + 320)/ 25**

**25 × 25 = a + 320**

**625 – 320 = a**

**a = 305 m**

**Therefore, all the statements are necessary to answer the question.**

**Hence, option E is correct.**