**Directions (1-5): Each question below is followed by two statements I and II. You are to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. Give answer—**

(a)If the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.

(a)If the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.

**(b)If the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.**

**(c)If either the statement I alone or the statement II alone is sufficient to answer the question.**

**(d)If you cannot get the answer from the statements I and II together, but need more data.**

**(e)If both statements I and II together are needed to answer the question.**

**1. What is the value of A + B?**

I.A = 50% of B

II.2A + 2B = 40

**1. (b)**

**Using II:**

**2 (A + B) = 40**

**A + B = 20**

**2. How fast can Ram row a boat in still water?**

I.He takes 1 minutes to row upstream for a distance of 120 m.

II.He takes 20 seconds to row downstream for a distance of 120 m.

**2. (e)**

**Using I:**

**Speed of upstream =120/60 = 2 m/s**

**Using II:**

**Speed downstream =120/20 = 6 m/s**

**Using both**

**Speed of boat in still water = 2 m/s**

**3. Find the rate of simple interest.**

I.The principal triples in 9 years.

II.The principal is Rs 1000.

**3. (a)**

**Using I:**

**Let principal be Rs x**

**It became Rs 3x in 9 years,**

**So interest in 9 years is Rs. 2x**

**So, SI =PRT/100**

**2x=(x× R × 9)/100**

**⇒**

**R=200/9%**

**4. What is the area of rectangle ABCD?**

I.Length of its diagonal is 16 m.

II.Perimeter is more than 20 m.

**4. (d) Data is not sufficient.**

**5. What is the value of 2A + 3B?**

I.A + 3B = 60

II.A is twice of B.

**5. (e) Both statements are needed to find the value of 2A + 3B**

**Directions (6-10): What should come in place of question mark (?) in the following number series?**

**6. 200 231 264 299 336 ?**

a) 355

b) 375

c) 365

d) 395

e) None of these

**6. (b) The series is:**

**200 + 31 = 231**

**231 + 33 = 264**

**264 + 35 = 299**

**299 + 37 = 336**

**336 + 39 = 375**

**7. 10 22 8 24 6 ?**

a) 20

b) 18

c) 26

d) 156

e) 28

**7. (c) The series is:**

**10 + 12 = 22**

**22 – 14 = 8**

**8 + 16 = 24**

**24 – 18 = 6**

**6 + 20 = 26**

**8. 46656 7776 1296 216 36 ?**

a) 7

b) 6

c) 5

d) 4

e) 3

**8. (b) The series is:**

**46656 ÷ 6 = 7776**

**7776 ÷ 6 = 1296**

**1296 ÷ 6 = 216**

**216 ÷ 6 = 36**

**36 ÷ 6 = 6**

**9. 27 64 125 216 343 ?**

a) 512

b) 459

c) 519

d) 521

e) 524

**9. (a) The series is:**

**3^3=27**

**4^3=64**

**5^3=125**

**6^3=216**

**7^3=343**

**8^3=512**

**10. 96 107 129 162 206 ?**

a) 251

b) 255

c) 261

d) 264

e) 269

**10. (c) The series is:**

**96 + 11 = 107**

**107 + 22 = 129**

**129 + 33 = 162**

**162 + 44 = 206**

**206 + 55 = 261**