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Practice Questions Level 3: Data Sufficiency - 2 - Notes | Study Level-wise Practice Questions for CAT Preparation - CAT

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This EduRev document offers 20 Multiple Choice Questions (MCQs) from the topic Number System (Level - 3). These questions are of Level - 3 difficulty and will assist you in the preparation of CAT & other MBA exams. You can practice/attempt these CAT Multiple Choice Questions (MCQs) and check the explanations for a better understanding of the topic. 

Question for Practice Questions Level 3: Data Sufficiency - 2
Try yourself:Directions: In this problem, a question is followed by three statements numbered (I), (II), and (III). Read the statements carefully and determine which of them is/are sufficient/necessary to answer the question.
Ten persons are sitting in two parallel rows. U, V, W, X and Y are sitting in the same row facing south, and M, N, O, P and Q are sitting in the other row facing north. Each person is facing a person in the other row. Two persons are sitting between Y and V. M is third to the left of N.
Q. Who is facing Q?
I. U is diagonally opposite to O. X is to the immediate right of V.
II. Y is not sitting at either of the extreme ends of his row. P is facing Y.
III. X is third to the left of U, who is facing the immediate neighbour of P.
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Question for Practice Questions Level 3: Data Sufficiency - 2
Try yourself:Directions: In this problem, a question is followed by three statements numbered (I), (II), and (III). Read the statements carefully and determine which of them is/are sufficient/necessary to answer the question.
M, N, O, P, Q, R and S are seven members of a family. There are two married couples in the family. Q is married. M is the father-in-law of R. M has two children and two grandsons.
Q. How is Q related to N?
I. P is the sister-in-law of S.
II. Q is the uncle of O, who is the son of P.
III. Q is the brother-in-law of R, who has no nephew.
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Question for Practice Questions Level 3: Data Sufficiency - 2
Try yourself:Directions: The following problem consists of a question and three statements (I), (II) and (III) given below it. You have to find out which of the statements is/are redundant for determining the answer to the given question or can be dispensed with.
A, B, C, D, E, F, G and H are sitting around a circular table at equal distances facing centre. C is third to the left of A, but he is not the immediate neighbour of E.
Q. Who is sitting to the immediate right of A?
I. G is third to the left of C.
II. B and H are sitting opposite each other.
III. G is sitting immediate to the right of E.
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Question for Practice Questions Level 3: Data Sufficiency - 2
Try yourself:Directions: The question given below is followed by three statements numbered I, II and III. Read all the statements carefully and decide which of them is/are sufficient to answer the given question. Choose the correct alternative accordingly.
A has some blue and red balls with him in the ratio of 3 : 4.
Q. How many red balls does A have?
I.   If the red balls had been twice their actual number, the ratio would have been 3 : 8.
II.  If A gets 5 more red and blue balls each, the ratio of blue to red balls will become 4 : 5.
III. If A gets 3 more blue balls, then the ratio of blue to red balls will become 9 : 10.
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Question for Practice Questions Level 3: Data Sufficiency - 2
Try yourself:Directions: In the following problem, a question followed by three statements (I), (II) and (III) is given. You have to determine which statement(s) is/are sufficient/necessary to answer the question.
M, N, O, P, Q, R, S and T are sitting around a square table such that four of them are sitting at the corners and four are sitting in the middle of each side of the table facing centre. T is sitting at the corner and Q is not sitting at the corner.
Q. Who is sitting opposite R?
I. Q is second to the right of N. R is third to the left of T.
II. R is not sitting opposite Q. O is the immediate neighbour of R and S.
III. O is third to the left of N. M is third to the left of S, who is not sitting at the corner.
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Question for Practice Questions Level 3: Data Sufficiency - 2
Try yourself:Directions: The question given below is followed by three statements numbered I, II and III. Read all the statements carefully and decide which of them is/are sufficient to answer the given question. Choose the correct alternative accordingly.
Q. What is the probability of picking 1 red and 1 white ball from a bag containing balls of three colours without replacement?
I. The bag contains red, white and blue balls in the ratio 3 : 5 : 7.
II. The bag contains 75 balls.
III. The number of red balls in the bag is 40% less than number of white balls.
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Question for Practice Questions Level 3: Data Sufficiency - 2
Try yourself:Directions: In the following problem, a question followed by three statements (I), (II) and (III) is given. You have to determine which statement(s) is/are sufficient/necessary to answer the question.
E, F, G, H, P, Q, R and S are sitting on a rectangular table such that four of them are sitting on one side of the table and each person is facing one person sitting on the opposite side of the table. E, F, G and H are facing South and P, Q, R and S are facing North. G and S are not at the corners.
Q.Who is facing G?
I. G is facing the person sitting second to the left of Q, who is not facing F.
II. H is facing the person sitting second to the right of R, who is not facing G.
III. E and R are sitting diagonally opposite to each other. H is facing S.
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Question for Practice Questions Level 3: Data Sufficiency - 2
Try yourself:Directions: The question given below is followed by three statements numbered I, II and III. Read all the statements carefully and decide which of them is/are sufficient to answer the given question. Choose the correct alternative accordingly.
Q. What is the value of x + 2y?
I.   If both x and y are decreased by 50%, the value of x + y will be decreased by 30.
II.  y is 50% more than x.
III. x + 3y = 132
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Question for Practice Questions Level 3: Data Sufficiency - 2
Try yourself:Directions: In the following problem, a question followed by three statements (I), (II) and (III) is given. You have to determine which statement(s) is/are sufficient/necessary to answer the question.
T, U, V, W, X, Y and Z are sitting in a row. Some of them are facing South and some are facing North. U is exactly in the middle of the row.
Q. Who is sitting third from the West end?
I. W is second to the left of U. T is sitting at the West end.
II. Z is the immediate neighbour of V and X. Persons sitting at both the ends are facing North.
III. Three persons are sitting between W and Z. V is second to the left of X, who is sitting at one of the ends.
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Question for Practice Questions Level 3: Data Sufficiency - 2
Try yourself:Directions: The question given below is followed by three statements numbered I, II and III. Read all the statements carefully and decide which of them is/are sufficient to answer the given question. Choose the correct alternative accordingly.
Q. How many students got more than 80% marks in the exam?
I.   5000 students appeared for the exam.
II.  Of the students who appeared, 34% secured less than 80% marks in the exam.
III. The number of students who got more than 80% marks in the exam is double the number of students who got 80% marks in the exam.
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Question for Practice Questions Level 3: Data Sufficiency - 2
Try yourself:Directions: In the following problem, a question followed by three statements (I), (II) and (III) is given. You have to determine which statement(s) is/are sufficient/necessary to answer the question.
There are seven members in a family. The members are A, B, C, D, Q, R and S. There are three couples in the family. R has one son and one daughter only.
Q. How is R related to D?
I. A is the father-in-law of S. S and D are sisters-in-law.
II. C is the father of B. A is married, but not to B.
III. Q is the uncle of B.
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Question for Practice Questions Level 3: Data Sufficiency - 2
Try yourself:Directions: In this question, you have to decide which of the statements I, II and III is/are required for determining the answer to the given question.
Q. What is the probability that the person who met with an accident is a car driver?
I. An Oriental Insurance company insured 4000 car drivers, 8000 bike drivers and 12,000 auto drivers.
II. The probabilities of a car driver, bike driver and auto driver meeting an accident are 0.01, 0.03 and 0.15, respectively
III. The probability of a car driver meeting an accident is one-third of the probability of a bike driver meeting an accident.
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Question for Practice Questions Level 3: Data Sufficiency - 2
Try yourself:Directions: In the following problem, a question followed by three statements (I), (II) and (III) is given. You have to determine which statement(s) is/are sufficient/necessary to answer the question.
Eight friends E, F, G, H, I, J, K and L have different weights. E is heavier and H is lighter than five of them.
Q. If they are made to stand according to their weights, which two will be in the middle?
I. I is lighter than E, but heavier than H. L is heavier than G.
II. J is heavier than K only. F is not heavier than E.
III. F is lighter than G, who is not lighter than E.
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Question for Practice Questions Level 3: Data Sufficiency - 2
Try yourself:Directions: The following question is accompanied by statements A, B and C. You have to determine the statement(s) which is/are sufficient to answer the question.
Q. Is k+ l4 + m3 + n2 > 0?
A. l + n = 0
B. l + m + n > 0
C. m + k > 0
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Question for Practice Questions Level 3: Data Sufficiency - 2
Try yourself:Directions: The following question is accompanied by three statements (I), (II) and (III). You have to determine which statements are sufficient/necessary to answer the question.
In a 5 day cultural festival at a university, M, N, O, P and Q appeared as chief guests on different days from Monday to Friday but not necessarily in the same order. They are from different countries, i.e Taiwan, Spain, India, Jordan and Brazil. M visited on Thursday and person from Jordan visited on Tuesday.
Q. Who visited the cultural festival on Monday?
I. N visited on the next day to the day when person from Brazil visited. Q did not visit on the first day or the last day.
II. P did not visit before N. P is from India.
III. Q is from Taiwan. O visited a day before N.
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Question for Practice Questions Level 3: Data Sufficiency - 2
Try yourself:Directions: The following question is accompanied by statements A, B and C. You have to determine the statement(s) which is/are sufficient to answer the question.
Q. What is the length of the inradius of triangle ABC?
A. All the sides of triangle ABC are equal.
B. The area of triangle ABC is known.
C. The perimeter of triangle ABC is known.
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Question for Practice Questions Level 3: Data Sufficiency - 2
Try yourself:Directions: In this problem, a question is followed by three statements numbered (I), (II), and (III). Read the statements carefully and determine which of them is/are sufficient/necessary to answer the question.
A, B, C, D, E, F and G live on different floors of a seven-storey building, whose ground floor is numbered as the first floor and top floor is numbered as the seventh floor. B lives on the sixth floor. F lives on an odd-numbered floor.
Q. On which floor does C live?
I. A lives on the floor which is three floors above the floor of E, who lives on an odd-numbered floor.
II. F does not live on any of the floors above the floor of D, who is not living at the top floor.
III. F lives on the floor immediately above the floor of C.
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Question for Practice Questions Level 3: Data Sufficiency - 2
Try yourself:Directions: The following question is accompanied by statements A, B and C. You have to determine which statement(s) is/are sufficient to answer the question.
Q. If product of two positive numbers m and n is 80, then what are the values of m and n, respectively?
A. m is 25% more than n.
B. n + 2m : n + m = 14 : 9
C. m + n = 18
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Question for Practice Questions Level 3: Data Sufficiency - 2
Try yourself:Directions: The following question is accompanied by statements A, B and C. You have to determine which statement(s) is/are sufficient to answer the question.
Q. What is the average number of balls in boxes A, B and C?
A. If 5 balls are drawn each from boxes A, B and C, then the average number of balls in the three boxes is 15.
B. If 25 balls are added to each of the boxes A, B and C, the average number of balls in the three boxes becomes 35.
C. Box A has 25 balls, which has 15 balls more than the average number of balls of boxes B and C.
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Question for Practice Questions Level 3: Data Sufficiency - 2
Try yourself:Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.
Q. How much time does Aksh take to cover 30 km?
I.   Aksh takes 2 hours more than Ankush does to cover 30 km.
II.  Ratio of speeds of Aksh and Ankush is 2 : 3.
III. If Aksh doubles his speed, then Ankush takes 1 hour more than him to cover 30 km.
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