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

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

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:  The table given below presents the number of books on different subjects kept on separate shelves subjects with odd and even numbers are of arts and Science respectively

What is the ratio of the total numbers of books on arts to that of science?

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.

In which month of the year did the construction of the building begin?
I. The construction engineer correctly remembers that the construction began before September but after May and that particular month did not have 31 days.
II. The builder correctly remembers that the construction began after February but before October and the fact that, that particular month did not have 31 days.

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: 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.

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.

What is Punit ' s age ?
I . Punit , Vipul and Komal are all of the same age .
II . Total age of Vipul , Komal and Anup is 32 and Anup is as old as Vipul and Komal together .