Directions: Each of the questions consists of a question followed by three statements. You have to study the questions and the statements and decide which of the statements(s) is/are necessary to answer the question. 

What is the population of State ‘A’?
 I. After increasing the population of State A by 15% it becomes 1.61 lakhs
 II. Ratio of population of State A to that of State B is 7 : 8 respectively
 III. Population of State B is 1.6 lakhs

Direction: Each of the questions consists of a question and two statements numbered I and II given below it. You have to decide whether the data provide in the statements are sufficient to answer the question. Read both the statements and Give answer.
(A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone not sufficient to answer the question;
(B) If the data in statement II alone are sufficient to answer the question, while the data in statement I all are not sufficient to answer the question;
(C) If the data either in statement I alone or in statement II alone are sufficient to answer the question;
(D) If the data even in both statements I and II together are not sufficient to answer the question;
(E) If the data in both statements I and II together are necessary to answer the question.

R , K , T and S are four friends . Which of the following is the oldest among them ?
I . The total age of K and T together is more than that of S .
II . The total age of R and K together is less    than that of S . 

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 give in statements are sufficient to answer the question. Read both statements and choose the most appropriate option.
Give Answer
(A) If the data in statement I alone is sufficient to answer the question while the data in statement II alone is not sufficient to answer the question.
(B) If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
(C) If the data either in statement I alone or in statement II alone is sufficient to answer the question.
(D) If the data even in both the statements I and II together are not sufficient to answer the question.
(E) If the data in both the statements I and II together are necessary to answer the question.

How many days are there in the year?
I. If 29th January of the year is Monday, then 5th March of the year is Tuesday.
II. If 3rd February of the year is Wednesday, then the last day of February of the year is Sunday.

Instructions: In each of the questions given below, one question and below it two statements I and II are given. You have to determine whether the data given in the statements is sufficient to answer the question or not.
Answer (A) if the data given in statement, I is sufficient to answer the question whereas data given only in statement II is not sufficient to answer the question.
 Answer (B) if the data given only in statement II is sufficient to answer the question whereas data given
 only in statement I is not sufficient to answer the question.
 Answer (C) if the data given either only in statement I or only in statement II is sufficient to answer the question.
 Answer (D) if the combined data given in statement I and statement II are not sufficient to answer the
 question.
 Answer (E) if the combined data given in statement I and statement II are necessary to answer the question.

Each of A, B, C, D and E are of different heights. Who is the third tallest among these?
I.E is only shorter than B.  
II.C is only taller than A.

Direction: Each of the questions consists of a question and two statements numbered I and II given below it. You have to decide whether the data provide in the statements are sufficient to answer the question. Read both the statements and Give answer.
(A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone not sufficient to answer the question;
(B) If the data in statement II alone are sufficient to answer the question, while the data in statement I all are not sufficient to answer the question;
(C) If the data either in statement I alone or in statement II alone are sufficient to answer the question;
(D) If the data even in both statements I and II together are not sufficient to answer the question;
(E) If the data in both statements I and II together are necessary to answer the question.

Five years ago, what was the ratio between the age of Sonu and Monu?
 I. Ratio between present age of Sonu and Monu is 3: 2.
II. Ratio between present age of Sonu and Ramu is 4 : 3.

Directions: The following questions are accompanied by three statements (A) or (I), (B) or (II), and (C) or (III). You have to determine which statement(s) is/are sufficient/necessary to answer the questions.

What is the non-voting population of a certain country?
A. Only males above 21 years of age can vote.
B. Males above 21 years form 30% of the total population.
C. The total population of the country is 30 million.

Directions:  In the following two equations questions numbered (I) and (II) are given. You have to solve both equations and
Give answer
(a) If x > y
(b) If x ≥ y
(c) If y > x
(d) If y ≥ x
(e) If x = y or no relation can be established

$$ {I.x^{2}=81}$$
$$ {II.(y-9)^{2}}=0$$

Directions: Each of the questions below consists of a question and two statements numbered as I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the two statements and give answer.

I. A lives above 3rd floor. Two persons live between X and Y. X lives above A.
II. Two persons live between X and Y. X lives just above C. Y lives below X.