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CAT Exam  >  CAT Tests  >  Test Level 2: Data Sufficiency - 1 - CAT MCQ

Test Level 2: Data Sufficiency - 1 - CAT MCQ


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10 Questions MCQ Test - Test Level 2: Data Sufficiency - 1

Test Level 2: Data Sufficiency - 1 for CAT 2024 is part of CAT preparation. The Test Level 2: Data Sufficiency - 1 questions and answers have been prepared according to the CAT exam syllabus.The Test Level 2: Data Sufficiency - 1 MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test Level 2: Data Sufficiency - 1 below.
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Test Level 2: Data Sufficiency - 1 - Question 1
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Directions: This problem consists of a question followed by two statements numbered I and II given below it. Read the statements carefully and decide which of them is/are sufficient/necessary to answer the question.

Mark your answer as
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 in either of the statements alone is sufficient to answer the question
d. if the data in both statements I and II together is not sufficient to answer the question
e. if the data in both statements I and II together is necessary to answer the question

Q. How many people are in Amit's family, if the number of people in his family is not less than five?

I. Amit has two sisters and each sister has one brother. Amit and his sisters are un-married.
II. There are two mothers and two fathers in the family.

Detailed Solution for Test Level 2: Data Sufficiency - 1 - Question 1

From statement I alone, we can see that Amit has two sisters and Amit is the one common brother of those sisters. But no information about the other people is given which would make the number of members less than 5. So, I alone isn't sufficient
From II alone, we can figure out that 'two mothers and two fathers' means 4 members.
But no information about other people is given to make member not less than 5 in number. Thus, II alone isn't sufficient.
From I and II together, we can see Amit has two sisters, a mother, a father, a grandmother and a grandfather, so total of 7 people, which validates the question statement.
Thus, both statements are needed to answer the question.

Test Level 2: Data Sufficiency - 1 - Question 2
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Directions: This problem consists of a question followed by two statements numbered I and II given below it. Read the statements carefully and decide which of them is/are sufficient/necessary to answer the question.

Mark your answer as
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 in either of the statements alone is sufficient to answer the question
d. if the data in both statements I and II together is not sufficient to answer the question
e. if the data in both statements I and II together is necessary to answer the question

Q. How to B related to A?

I. A's only brother's wife's only son's Paternal grandmother is B.
II. B is the wife of A's only brother's wife's father-in-law.

Detailed Solution for Test Level 2: Data Sufficiency - 1 - Question 2

From I alone, we can see that brother's wife's only son is nephew and grandmother of nephew is mother.
So, B is the mother of A. Thus, statement I alone is sufficient.

From II alone, we can see that brother's wife's father-in-law is father.
So, B is the mother of A. Thus, statement II alone is sufficient.

So, either I or II alone is sufficient.

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Test Level 2: Data Sufficiency - 1 - Question 3
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Directions: This problem consists of a question followed by two statements numbered I and II given below it. Read the statements carefully and decide which of them is/are sufficient/necessary to answer the question.
Mark your answer as
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 in either of the statements alone is sufficient to answer the question
d. if the data in both statements I and II together is not sufficient to answer the question
e. if the data in both statements I and II together is necessary to answer the question

Q. What is the shortest distance between Amit's house and his office?

I. Amit drove 2 km towards east from his house and then took a left turn and drove another 2 km. He then again took a left turn and drove 2 km. Next, he took a right turn to cover 2 km more. Finally, he took a left turn and covered 3 km to reach his office.
II. Amit had a uniform speed of 30 km/hr throughout the journey.

Detailed Solution for Test Level 2: Data Sufficiency - 1 - Question 3

om I alone, we can find the shortest distance as follows:
Shortest distance:

From II alone, we cannot find the shortest distance since it only mentions speed, and no distance is mentioned.
Thus, I alone Is sufficient to answer the question.

Test Level 2: Data Sufficiency - 1 - Question 4
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Directions: This problem consists of a question followed by two statements numbered I and II given below it. Read the statements carefully and decide which of them is/are sufficient/necessary to answer the question.
Mark your answer as
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 in either of the statements alone is sufficient to answer the question
d. if the data in both statements I and II together is not sufficient to answer the question
e. if the data in both statements I and II together is necessary to answer the question

Q. P, Q, R and S are sitting around a square table facing the centre with each one sitting on each side. Who is sitting to the immediate left of P?

I. P is sitting opposite to Q, who is sitting to the immediate right of R.
II. P is sitting adjacent to R, who is sitting adjacent to Q.
Detailed Solution for Test Level 2: Data Sufficiency - 1 - Question 4

From I alone, we can figure out the position of every person.

Thus, statement I alone is sufficient and S is sitting to the immediate left of P.
From statement II alone, we cannot figure out the position of everyone as R could be either to the immediate left or right of P.
Thus, II alone is not sufficient.


Thus, statement I alone is sufficient to answer the question.

Test Level 2: Data Sufficiency - 1 - Question 5
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Directions: This problem contains a question followed by two statements numbered I and II giving certain data. Read the statements carefully and decide which of them is/are sufficient/necessary to answer the question. Choose the correct option accordingly.
Q. Around a circular table, six persons A, B, C, D, E and F are sitting. Who is to the immediate left of A?
Statements:
I. B is sitting opposite to C, and D is sitting opposite to E.
II. F is sitting to the immediate left of B, and B is sitting to the immediate left of E.
Detailed Solution for Test Level 2: Data Sufficiency - 1 - Question 5

Using both the statements, we get the arrangement as:


E is sitting to the immediate left of A.
Hence, the question can be answered by using both the statements together.

Test Level 2: Data Sufficiency - 1 - Question 6
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Directions: This problem consists of a question followed by two statements numbered I and II given below it. Read the statements carefully and decide which of them is/are sufficient/necessary to answer the question.
Mark your answer as
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 in either of the statements alone is sufficient to answer the question
d. if the data in both statements I and II together is not sufficient to answer the question
e. if the data in both statements I and II together is necessary to answer the question

Q. Amit went to office from home and came back the same way. At what speed did Amit walk back from office?

I: Amit went to office from home on bike at the speed of 39 km/hr and it took him 20 minutes to reach.
II: Amit walked back from office and reached home in 40 minutes.
Detailed Solution for Test Level 2: Data Sufficiency - 1 - Question 6

From I alone, we can figure out the distance between his home and office. But we don't know the time he took to come back, so I alone isn't sufficient.
Distance between his home and office = 
So, 13 km is the distance.
From II alone, we can figure out that Amit took 40 minutes to come back home. But since distance isn't given, we cannot find the speed. Thus, II alone isn't sufficient.
From I and II together, we get the distance to be 13 km, and the time to come back to be 40 minutes. So, the speed is 19.5 km/hr.
Thus, I and II together are sufficient to answer the question.

Test Level 2: Data Sufficiency - 1 - Question 7
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Directions: This problem consists of a question followed by two statements numbered I and II given below it. Read the statements carefully and decide which of them is/are sufficient/necessary to answer the question.
Mark your answer as
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 in either of the statements alone is sufficient to answer the question
d. if the data in both statements I and II together is not sufficient to answer the question
e. if the data in both statements I and II together is necessary to answer the question

Q. What is the direction of B with respect to D?

I. C is to the east of B, which is to the northeast of A.
II. A is to the west of D, which is to the south of B, which is to the west of C.
Detailed Solution for Test Level 2: Data Sufficiency - 1 - Question 7

From I alone, we can see find the positions of A, B and C. But no mention of position of D is there, so I alone is not sufficient.
From II alone, we can figure out the position of each of the four people as follows:



So, B is to the north of D.
Thus, only statement II is sufficient to answer the question.

Test Level 2: Data Sufficiency - 1 - Question 8
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Directions: This problem consists of a question followed by two statements numbered I and II given below it. Read the statements carefully and decide which of them is/are sufficient/necessary to answer the question.
Mark your answer as
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 in either of the statements alone is sufficient to answer the question
d. if the data in both statements I and II together is not sufficient to answer the question
e. if the data in both statements I and II together is necessary to answer the question

Q. Four people - A, B, C and D - live on four different floors of a building. Who lives on the top floor?

I. A lives on the floor above C, and B lives on the floor above D.
II. Only one person lives on the floor above C.
 
Detailed Solution for Test Level 2: Data Sufficiency - 1 - Question 8

From I alone, we get that A lives on the floor above C, and B lives on the floor above D. Thus, we can have many different arrangements.

Thus, I alone isn't sufficient.
From II alone, we only get that C lives on the floor below the top floor, but no information about the person on the top floor is obtained.
Thus, II alone is not sufficient to answer the question.
From I and II, we get that since C lives on floor below the top floor, therefore only one arrangement is possible under this condition.

A
C
B
D
Thus, A lives on the top floor.
Hence, both statements together are needed to solve the question.

Test Level 2: Data Sufficiency - 1 - Question 9
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Directions: This problem consists of a question followed by two statements numbered I and II given below it. Read the statements carefully and decide which of them is/are sufficient/necessary to answer the question.
Mark your answer as
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 in either of the statements alone is sufficient to answer the question
d. if the data in both statements I and II together is not sufficient to answer the question
e. if the data in both statements I and II together is necessary to answer the question

Q. What would be the date when Gaurav will have the English exam?

I. Gaurav has been preparing for the English exam for 3 months.
II. Gaurav has a different exam after every 3rd day and his last Math's exam was on Monday.
Detailed Solution for Test Level 2: Data Sufficiency - 1 - Question 9

From I alone, we can see that there is no mention of when the exam would take place. Thus, I alone is not sufficient to answer the question.
From II alone, we can see that since Gaurav has an exam every 3rd day and his last exam was on Monday, his next exam would be on Thursday. But no information about the date is provided, so II alone is not sufficient.
From I and II together, we cannot figure out the date of the exam as no information about it is provided.
Thus, both statements I and II are not sufficient to answer the question.

Test Level 2: Data Sufficiency - 1 - Question 10
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Directions: This problem consists of a question followed by two statements numbered I and II given below it. Read the statements carefully and decide which of them is/are sufficient/necessary to answer the question.
Mark your answer as
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 in either of the statements alone is sufficient to answer the question
d. if the data in both statements I and II together is not sufficient to answer the question
e. if the data in both statements I and II together is necessary to answer the question

Q. How is A related to J?

I. P's daughter's only brother has A as his only son.
II. P is the paternal grandfather of J.
Detailed Solution for Test Level 2: Data Sufficiency - 1 - Question 10

From I alone, we can figure out that A is the son of P's daughter's only brother . So, A is the grandson of P. But no reference to J is there, so I alone is not sufficient.
From II alone, we can see that P is the grandfather of J. But no reference to A is there, so II alone is not sufficient.I and II together tell that A is the brother of J.

Thus, statements I and II together are sufficient to answer the question.

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