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# Data Sufficiency Quiz

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Question 1

Directions: Below question 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 the question and both the statements and give answer.
Is number of factors of P divisible by 2 more than that divisible by 3
StatementI: P is not divisible by 24 but is divisible by 28.
StatementII: P is not divisible by 54 but is divisible by 63

Question 2

Direction: Below question 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 the question and both the statements and give answer.
What is the number of persons travelling in the bus? If number of persons travelling in the bus cannot be more than 100.
Statement I: When persons are divided in a group of 4, only 2 persons are left but when divided in a group of 11, only 9 persons are left.
Statement II: When persons are divided in a group of 5 only 2 persons are left but when divided in a group of 7, no person is left.

Question 3

Directions: Below question 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 the question and both the statements and give answer.
P2 – 35P + 216 = 0 what is the value of P?

Statement I: P is perfect cube
Statement II: P2 is perfect cube

Question 4

Direction: Below question is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is / are redundant and can be dispensed with while answering the given question.

What is the value of y?
I. y3 – 5y2 + 6y < 0
II. y - |y| ≥ 0
III. 2y2 – y – 10 = 0

Question 5

Direction: Below question is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is / are redundant and can be dispensed with while answering the given questions.

What is the value of x?
I. 3x3 – x2 + 9x – 1 ≥ 2
II. 2x ≥ 6x2
III. x ≥ 0

Question 6

Directions: Below question 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 the question and both the statements and give answer.

If I draw two straight lines in the x-y plane with equations: ax + by = c and dx + ey = f, do the two straight lines intersect?
Statement I: a, b, c, d, e and f are distinct real numbers.
Statement II: c and f are non-zero

Question 7

Direction: Below question is followed by three statements. You have to study the question and all the three statements given to decide which of the given statement(s) is / are required/sufficient for answering the given questions:

The compound interest on a sum of 4000 is Rs 1324. Find the rate of interest.
I. The simple interest on the same sum at the same rate is Rs. 1200
II. Compound interest is compounded every four months.
III. The sum doubles itself in 25 years at the rate of 4 % per annum.

Question 8

Direction: Below question is followed by three statements. You have to study the question and all the three statements given to decide which of the given statement(s) is/ are required/sufficient for answering the given question:
Find the four consecutive prime numbers under 100.
Statement I. The average of middle numbers is 64.
Statement  II. The average of 1st and last number is 65.
Statement III. The difference between 1st and last no. is 12.

Question 9

Direction: Each of the question 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 old will each of X and Y be when they celebrate their golden anniversary (50th year) of their marriage?
I. When they got married 15 years ago, X was 2 years less than 3 times Y’s age.
II. X is three years older than Y. When they got married 40 years ago, the difference of twice X age from thrice Y's age was 16.
III. X is 3 years older than Y. When they got married 35 years ago, the sum of twice X age and thrice Y’s age was 116.

Question 10

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. Read all the statements and give answer.
A tower stands at the center of a circular park. A and B are two points at the boundary of the park. From the points A and B, angle of elevation of the top of the tower is 30 °. What is the height of the tower?
Statement I: AB subtends angle θ = 60° at the foot of the tower.

Statement II
: Length of AB = a metres

Statement III
: Distance of AB from foot of the tower = d metres
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