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 was the percentage of discount offered?
 I. Profit earned by selling the article for Rs. 252 after giving discount was Rs. 52.
 II. Had there been no discount the profit earned would have been Rs. 80
 III. Had there been no discount the profit earned would have been 40%.

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 below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. 

How many students are there is the class?
I. There are more than 22, but less than 36 students in the class.
II. If the students of the class are divided into groups.
III. There are more than 29, but less than 45 students in the class. 

Direction: Each of the question 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 given answer.
(A) 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.
(B) 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.
(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 statement I and II together are not sufficient to answer the question.
Amongst five friends seated in a straight-line facing North, is B sitting at the extreme left end?
I. B, D are immediate neighbours of each other. Similarly E, C are also immediate neighbours of each other. A sits exactly in the middle of the line.
II. A who sits exactly in the middle of the line is second to the left of C. B is not an immediate neighbour of A.

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 males are there in the family of six members - A, B, C, D, E and F?
I. A is the father of B and husband of C.
II. B, who is married, has two children of different genders.

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.

P, Q, R, S and T are standing in a row. Who is standing at the left end of the row?
I. There are three persons between P and T.
II. R is to the immediate left of T, S is to the immediate right of P. R and S are not adjacent to each other.

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 speed of the train?
 I. The train crosses a signal pole in 13 sec.
 II. The train crosses a platform of length 250 m in 27 seconds.
 III. The train crosses another train running in the same direction in 32 seconds.

Direction : Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. 

What will the area of a regular pentagon?
I. The length of each side is 12 cm.
II. The measure of each angle is 108 degrees.