Data Sufficiency

Question 1

Following instructions are to be used throughout the quiz:

Each of the questions given below consists of a statement and/or 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 given question.
Read both the statements and Give answer
(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 each Statement I and Statement II alone is 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.

If x,y are integers, then (x² + y²)^1/2 is an integer?
I) x² + y² is an integer
II) x² - 3y² = 0

• A. A
• B. B
• C. C
• D. D
• E. E

Answer: (B)

Statement 1: x² + y² is an integer Since x and y are integer x²+y² can be any real number which may not be a perfect square so statement 1 alone cant prove whether (x²+y²)^(½) is an integer or not. Statement 2: x²- 3y² = 0 =>x²+y²-4y²=0 =>x²+y²=4y² => (x²+y²)^(½)= 2y Which is an integer because y is an integer.

Question 2

Is x + y = 0 ?
I) x.y < 0
II) x² = y²

• A. A
• B. B
• C. C
• D. D
• E. E

Answer: (E)

Question 3

Is x - y is greater than u - v ?
I) x > u and y < v
II) y = 8, v = 9, x = 15 and u = 13.

• A. A
• B. B
• C. C
• D. D
• E. E

Answer: (C)

Question 4

Is the integer i is divisible by 20?
I. 4 is a factor of i
II. i is a factor of 10

• A. A
• B. B
• C. C
• D. D
• E. E

Answer: (E)

Question 5

What is the value of (x²/y²) + (y²/x²)?
I. x/y + y/x = 8
II. x/y - y/x = 4

• A. A
• B. B
• C. C
• D. D
• E. E

Answer: (C)

Question 6

What is the probability that x³ - 8 = 0 when x is selected from a set of 8 integers?
I. The smallest number in the set is -11
II. The arithmetic mean of the set is 1/8.

• A. A
• B. B
• C. C
• D. D
• E. E

Answer: (D)

Question 7

What is Anita's rank in the group?
I. There are 40 girls in the group
II. There are 39 girls scored less than Anita

• A. A
• B. B
• C. C
• D. D
• E. E

Answer: (E)

Question 8

Who is father of meena?
(1) Answer A If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question

(2) Answer B 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

(3) Answer C If the data either in statement I alone or in statement II alone are sufficient to answer the question

(4) Answer D If the data given in both statements I and II together are not sufficient to answer the question and

I. X and Y are brothers
II. Y's wife is sister of Meena's wife

• A. A
• B. B
• C. C
• D. D

Answer: (D)

Question 9

What day is 14th of a month?
I. 2^nd last day of the month is Tuesday
II. 3^rd Saturday of the month is seventeenth

• A. A
• B. B
• C. C
• D. D
• E. E

Answer: (B)

Question 10

Who is lightest among A, B, C, D?
I. A is heavier than B, and B is heavier than D
II. B is lighter than C

• A. A
• B. B
• C. C
• D. D
• E. E

Answer: (E)