**Directions (1-5): Each of the questions below consists of a questions and three statements numbered A, B and C given below it. You have to decide whether the data provided in the statements are sufficient to answer the questions. Read both the statement and give the answer :**

**1. What is the present age of mother?**

**A.**The difference in ages of mother and son is 30 years.

**B.**The present age of son is 1/4 present age of the mother.

**C.**After 5 years now, the age of son will be 1/3 of mother's age.

1. Only A and B

3. Only A and C

4. All A, B and C

5. Any two of the statement

**2. What is the length of the train?**

**A.**The train crosses a signal in 18 seconds.

**B.**The train crosses a 300 meter- long platform in 30 seconds.

**C.**The speed of the train is 25 km/hr

1. Only A and C

2. Only B and C

3. C and either A or B

4. Only A or B

5. Any two of the statements

**3. What is the cost of fencing a rectangular park?**

**A.**The length of the park is twice its breadth.

**B.**The area of the park is 288 m².

**C.**The Cost of fencing is Rs. 150 per meter.

1. Only B and C

2. Only A and C

3. All A, B and C

4. Only A and B

5. Cannot be determined

**4. By selling and article, what is profit percentage gained?**

**A.**10% discount is given on marked price.

**B.**The article is marked 25% above the cost price.

**C.**The cost price of the article is Rs. 1000.

1. Only A and B

2. Only A and C

3. Only B and C

4. All A, B and C

5. Other than the given options

**5. What will be the compound interest earned on an amount of Rs? 10000 in two years?**

**A.**The SI on the same amount at the same rate of interest in five years is Rs. 4000.

**B.**The CI and SI earned in one year is the same.

**C.**The amount becomes more than double on Ci in 10 years.

1. Only A and B

2. Only A

3. Only B and C

4. Only A and C

5. Other than the given options

*Download Data Sufficiency ebook here*### Answer :

**1. 5;**

Let the mother's and son's present age of x and y years respectively

∴

**From A**; x-y = 30**From B**; y = 1/4x

⇒ 4y = x

**From C;**y + = 1/3 (x+5)

⇒ 3y + 15 = x + 5

⇒ x = 3y + 10

**From A and B;**

4y - y = 30

⇒ y = 30

∴ x = 40 years

**From A and C;**

30 + y = 3y + 10

⇒ 2y = 20

⇒ y = 10

∴ x = 40

**From B and C;**

4y - 3y = 10

⇒ y = 10

∴ x = 30 + 10 = 40

∴ We will get answer from any of the two statements.

**2. 5;**

Let the length of the train be x m and speed be v.

Similarly we can find answer from 'A' and 'C' or from 'B' and 'C'.

**3. 3;**

**From A**; L = 2B

**From B**; L x B = 288

**From C**; Cost od fencing -= Rs. 150 per meter

**From A, B and C**; we get

2B x B = 288

B² = 144

∴ B = 12m

L = 24m

∴ Cost of fencing = 2 x (12+24) x 150 = Rs. 10,800

4. 4;

**From A, B and C;**

Cost price = Rs. 1000

5. 2;