Data Sufficiency








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Quiz Begins Here

Q #1
:

Directions: Read the rules listed below.

  1. Statement (a) ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. 
  2. Statement (b) ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. 
  3. BOTH statements (a) and (b) TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. 
  4. Each statement ALONE is sufficient to answer the question. 
  5. Statements (a) and (b) TOGETHER are NOT sufficient to answer the question.

Is abcd, a four digit positive number, a perfect square?

  1. The digit in ten’s place is an even number.
  2. The digit in unit’s place is six.

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Explanation: This four digit number is not a perfect square and it can be answered by taking options together. The rule is that any perfect square which have six at the units place will always have an odd number at the tens place.

Q #2
:

Directions: Read the rules listed below.

  1. Statement (a) ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. 
  2. Statement (b) ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. 
  3. BOTH statements (a) and (b) TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. 
  4. Each statement ALONE is sufficient to answer the question. 
  5. Statements (a) and (b) TOGETHER are NOT sufficient to answer the question.

If X and Y are positive integers ,is xy +1 divisible by 3 ?

  1. When X is divided by 3 , the remainder is 1.
  2. When Y is divided by 9,the remainder is 8.


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Explanation: X = 3p+ 1 Y=9k+8 so XY+ 1= (3p+1)(9k+8) +1 = 27pk + 9k +24p +8+ 1. This term is divisble by 3.

Q #3
:

Directions: Read the rules listed below.

  1. Statement (a) ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. 
  2. Statement (b) ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. 
  3. BOTH statements (a) and (b) TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. 
  4. Each statement ALONE is sufficient to answer the question. 
  5. Statements (a) and (b) TOGETHER are NOT sufficient to answer the question.

Is |x| > |y| ?

  1. X^3  > Y ^3
  2. X^2  > Y ^2

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Explanation: The answer could easily be determined by option (b) only..as it does not make any difference whether X is positive or negative.while in option (a) that confusion is there and the result differ depending upon the positive or negative values of X and Y.

Q #4
:

Directions: Read the rules listed below.

  1. Statement (a) ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. 
  2. Statement (b) ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. 
  3. BOTH statements (a) and (b) TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. 
  4. Each statement ALONE is sufficient to answer the question. 
  5. Statements (a) and (b) TOGETHER are NOT sufficient to answer the question.

A circle circumscribes a square. What is the area of the square?

  1. Radius of the circle is given.
  2. Length of the tangent is given.

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Explanation: Each statement alone is sufficient to get the answer as the diameter is equal to the side of the square and the tangent is equal to radius.

Q #5
:

Directions: Read the rules listed below.

  1. Statement (a) ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. 
  2. Statement (b) ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. 
  3. BOTH statements (a) and (b) TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. 
  4. Each statement ALONE is sufficient to answer the question. 
  5. Statements (a) and (b) TOGETHER are NOT sufficient to answer the question.

Is X greater than Y?

  1. 3X = 2k
  2. k = Y^2

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Explanation: If we take both equations together that means Y^2 > X, then there can exist a value of y which is greater as well as less than x .