Data Sufficiency Level 3

Q: The question below consists of a question and two statements numbered A and B given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both statements and give an answer.Is k2 + k – 2 > 0?(A) k < 1(B) k > –1
A: if neither statement (A) nor statement (B) is individually sufficient to solve the question, but a combination of both is sufficient to solve the question.
Q: In the question below, a question and two statements numbered I and II are given. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both statements and give an answer.Do X, Y, and Z stand in a straight line?Statement I: F is 2 km towards the south of E. K is 5 km towards the west of F. X is 2 km towards the north of F. Y is 3 km towards the east of E and Z is 4 km towards the east of Y.Statement II: X is 2 km towards the north of L. K is 4 km towards the west of L. S is 1 km towards the south of K. M is 2 km towards the west of S. Y is 3 km towards the north of M and Z is 2 km towards the north of W.
A: if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient in answer the question.
Q: 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 statement(s) is/are sufficient to answer the question. Read both statements and give an answer.What is the direction of point A with respect to point G? Statement I : Point A is 5 m north of point B. Point B is 7 m to the west of point C. Point E is 4 m west of point D. Point G is somewhere south of point E. Point C is 2 m north of point D.Statement II: Point A is 6 m west of point B. Point C is 3 m to the south of point B. Point D is 2m north of point E. Point E is 6 m west of point G. Point D is 8 m to the west of point C.
A: If the data either in I or II alone are sufficient to answer the question
Q: 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 statement(s) is/are sufficient to answer the question. Read both statements and give an answer.On which floor is Shikha residing?I) In a six-storey building (the ground floor is a parking space), Rekha is on the fourth floor. Shikha likes to reside only on even-numbered floors. Reema is not on the topmost floor.II) Reema is two floors below Peter who is 3 floors above Shikha.
A: If data in both statements I & II together are necessary to answer the question.
Q: The question below consists of a question and two statements numbered A and B 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 give an answer.Is x positive? x and y are integers.(A) (1/x) > (1/y) and y < 0  (B) |x| > |y|
A: if both the statements taken together are not sufficient and more information is required to solve the question.
Q: The question below consists of a question and two statements numbered A and B given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both statements and give an answer.x and y satisfy the equation 2x2 + y2 – 2xy – 4x + k2 = 0. Can one get a unique solution for x and y in real numbers? (A) k2 = 4(B) x, y and k are positive integers.
A: if the question can be answered by using either statement alone. 
Q: 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 statement(s) is/are sufficient to answer the question. Read both statements and give an answer.Among V, W, X, Y and Z, seated in a straight line facing south, who sits in the middle? I. W sits third to the right of Z. X is an immediate neighbour of W. V sits to the immediate left of Y.II. X sits at one of the extreme ends of the line. Only two people sit between X and V. Y sits to the immediate right of V. Y does not sit at any of the extreme ends of the line.
A: if the data in either statement I alone or in statement II alone are sufficient to answer the question.
Q: The question below consists of a question and two statements numbered A and B given below it. You have to decide whether the data provided in the statements are sufficient to answer the questions. Read both statements and give an answer.Five students Atul, Bala, Chetan, Dev and Ernesto were the only ones who participated in a quiz contest. They were ranked based on their scores in the contest. Dev got a higher rank compared to Ernesto, while Bala got a higher rank compared to Chetan. Chetan’s rank was lower than the medium. Who among the five got the highest rank? A: Atul was the last rank holder. B: Bala was not among the top two rank holders.
A: If the question can be answered by using the statement A alone but not by using the statement B alone
Q: The question below consists of a question and two statements numbered A and B given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both the statements and give an answer.Marcia's bucket can hold a maximum of how many litres of water?(A) The bucket currently contains 9 litres of water.(B) If 3 litres of water are added to the bucket when it is half full of water, the amount of water in the bucket will increase by 1/3rd.
A: if statement (B) alone is sufficient to solve the question, but statement (A) alone is not. 
Q: 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 give an answer.Gaurav ranks eighteenth from the top in a class. What is his rank from the last?   I. There are 47 students in the class.  II. Jatin who ranks 10th in the same class, ranks 38th from the last.
A: If the data either in statement I alone or in statement II alone are sufficient to answer the question.
Q: 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 give an answer.Who amongst P, Q, R, S, T and U is the tallest? Statement I: P is taller than R and T but not as tall as U, who is taller than Q and S.Statement II: R is third in height in ascending order and not as tall as U, P and Q, Q being taller than P but not the tallest. 
A: if the data in either in statement I alone or in statement II alone are sufficient to answer the question.
Q: The question below consists of a question and two statements numbered A and B given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both statements and give an answer.Thirty percent of the employees of a call centre are males. Ten percent of the female employees have an engineering background. What is the percentage of male employees with an engineering background? A: Twenty-five percent of the employees have an engineering background.B: The number of male employees having an engineering background is 20% more than the number of female employees having an engineering background.
A: If the question can be answered by using either of the statements alone.
Q: 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 statement(s) is/are sufficient to answer the question. Read both the statements and give an answer.Zakib spends 30% of his income on his children’s education, 20% on recreation and 10% on healthcare. The corresponding percentages for Supriyo are 40%, 25% and 13%. Who spends more on children’s education? I. Zakib spends more on recreation than Supriyo. II. Supriyo spends more on healthcare than Zakib. 
A:  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. 
Q: The question below consists of a question and two statements numbered A and B 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 give an answer.The capacity of glass X is 80 percent of the capacity of glass Y, Glass X contains how many more ounces of punch than glass Y? (A) Glass X contains 6 ounces of punch and is half-full, while glass Y is full.(B) Glass X is 70 percent full and glass Y is 30 percent full.
A:  if the question can be answered by one of the statements alone, but cannot be answered by using the other statement alone. 
Q: The question below consists of a question and two statements numbered A and B given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both statements and give an answer.Is the adjoining figure ABDC a square?(A) BC is perpendicular to AD(B) BE = EC
A: if both the statements taken together are not sufficient and more information is required to solve the question.
Q: 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 statements and give an answer.Find the value of 2x + 3y.(A) x and y are positive integers. (B) x4y2 = 9.
A: if neither statement (A) nor statement (B) is individually sufficient to solve the question, but a combination of both is sufficient to solve the question
Q: 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 give an answer.Mr. X starts walking northwards along the boundary of a field, from point A on the boundary and after walking for 150 meters reaches B and then walks westwards, again along the boundary, for another 100 meters when he reaches C. What is the maximum distance between any pair of points on the boundary of the field?(A) The field is rectangular in shape. (B) The field is a polygon, with C as one of its vertices and A as the midpoint of a side.
A: if the question can be answered by using both the statements together, but cannot be answered by using either statement alone. 
Q: 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 question. Read both statements and Give an answerWho is tallest among – A, B, C, D, E and F? Statement I : C is taller than B and shorter than D. D is not the tallest. B is taller than E. F is taller than C and also A.Statement II: F is taller than C and B both. D is taller than B. E is shorter than B. A is shorter than D.
A: If the data in statement I alone are sufficient to answer the question
Q: The question below consists of a question and two statements numbered A and B given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both statements and give an answer.Who is sitting opposite to E in a circle in which 6 people are sitting facing the center? Statement I: E is sitting to the immediate left of A. There are 2 people in between A and C. F is the immediate neighbour of C. D is sitting opposite B.Statement II: B and E are sitting together. A is sitting opposite C. F and D are sitting together. A and B are not sitting together.
A: If the data in statement I alone are sufficient to answer the question
Q: 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 statement(s) is/are sufficient to answer the question. Read both statements and give an answer.Point A is in which direction with respect to point B? I. Point D is to the east of point A. Point A is to the south of point F. Point B is in the southwest of point D.II. Point F is to the northwest to point B. Point B is to the south of point D which is east of Point F. Point A is in the north of point D.
A: if the data in either statement I alone or in statement II alone are sufficient to answer the question.
Q: The question below consists of a question and two statements numbered A and B given below it. You have to decide whether the data provided in the statements are sufficient to answer the questions. Read both statements and give an answer.A man wants to cover his sitting room (rectangular) with a specially imported carpet. What is the cost of the carpet? (A) The labour charge is Rs.95 and each square metre costs Rs.155. (B) If the room were half as large, the carpet would cost him Rs.320 less at a uniform rate, (of carpet only).
A: if statement (B) alone is sufficient to solve the question, but statement (A) alone is not.
Q: The question below consists of a question and two statements numbered A and B given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both statements and give an answer.What is the area of the triangle?(A) The radius of the circumcircle of the triangle is 8cm.(B) The product of the sides of the triangle is 72.
A: if neither statement (A) nor statement (B) is individually sufficient to solve the question, but a combination of both is sufficient to solve the question
Q: The question below consists of a question and two statements numbered A and B 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 give an answer.A product was sold for Rs.S at a profit of p% where the cost of manufacturing the product consisted of Raw materials, Labour and Overheads. The costs for Raw Materials, Labour and Overheads are increased and the company intends to sell the product at a profit. What is the new selling price in Rs.? (A) Cost for Raw Materials, Labour and Overheads are in the ratio of R : L : OH prior to increase in costs. (B) Cost of Raw Materials, Labour and Overheads are increased by r%, 1% and oh% respectively.
A: if both the statements taken together are not sufficient and more information is required to solve the question.
Q: The problem has a question and two statements which are labelled I and II. Use the data given in statements I and II together with commonplace knowledge to decide whether these statements are sufficient to answer the questions. Is the given triangle a right-angled triangle?I. The perimeter of the triangle is 12cm.II. The three sides of the triangle are 3 cm, 4 cm, and 5 cm.
A: If you can get the answer from statement II alone but not from statement I alone
Q: 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 statement(s) is/are sufficient to answer the question. Read both statements and give an answer.How many children are there in the row of children facing north?  I. Vishaka who is fifth from the left end is eighth to the left of Ashish who is twelfth from the right end.  II. Rohit is fifth to the left of Nisha who is seventh from the right end and eighteenth from the left end.
A: If the data either in statement I alone or in statement II alone are sufficient to answer the question
Q: The question below consists of a question and two statements numbered A and B given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both statements and give an answer.What percent marks did Ram get in a test of 4 subjects? (A) Ram got 90 in English and 84 in Maths.(B) Ram got 75 in Hindi and 76 in Sanskrit.
A: if both the statements taken together are not sufficient and more information is required to solve the question
Q: The question below consists of a question and two statements numbered A and B given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both statements and give an answer.A committee member W wants to schedule a one-hour meeting on Thursday for himself and three other committee members, X, Y and Z. Is there a one-hour period on Thursday that is open for all four members?(A) On Thursday W and X have an open period from 9:00 am to 12:00 noon. (B) On Thursday Y has an open period from 10:00 am to 1:00 pm and Z has an open period from 8:00 am to 11:00 am.
A: if neither statement (A) nor statement (B) is individually sufficient to solve the question, but a combination of both is sufficient to solve the question. 
Q: The question below consists of a question and two statements numbered A and B given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both statements and give an answer.A is the set of all integers from -x to x. What is the value of ‘a'?(A) a is the sum of all the elements in A. (B) a is the product of all the elements in A.
A: if the question can be answered by using either statement alone. 
Q: The question given below contains a question and two statements numbered I and II. You have to decide whether the data given in the statements are sufficient for answering the questions.How many Hindi students got more than 40 marks? I. 70% of total students got 40% marks. II. 20% of the students securing 40% marks are Hindi students
A: If the data in both the Statement I and II are not sufficient to answer the question. 
Q: The question below consists of a question and two statements numbered A and B 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 give an answer.If X and Y are integers between 10 and 99, both inclusive, is (X – Y) / 9 an integer? (A) X and Y have the same two digits but in reverse order. (B) The tens' digit of X is 2 more than the unit's digit and the tens' digit of Y is 2 less than the unit's digit.
A: if statement (A) alone is sufficient to solve the question, but statement (B) alone is not.