# Data Sufficiency

• Last Updated : 16 Sep, 2021

 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.
(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
Algebra    Data Sufficiency
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Question 1 Explanation:
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
Data Sufficiency
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 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
Data Sufficiency
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 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
Data Sufficiency
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 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
Data Sufficiency
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 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
Data Sufficiency
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 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
Data Sufficiency
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 Question 8
Who is father of meena?
I. X and Y are brothers
II. Y's wife is sister of Meena's wife
 A A B B C C D D
Data Sufficiency
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 Question 9
What day is 14th of a month?
I. 2nd last day of the month is Tuesday
II. 3rd Saturday of the month is seventeenth
 A A B B C C D D E E
Data Sufficiency
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 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
Data Sufficiency
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There are 10 questions to complete.
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