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Q #26
:

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^2 –2x| > X^2 – 2x , then what is the value of X?

  1. X is between 0 and 2.
  2. X is an integer.

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Explanation: This statement is true only if X^2 – 2X > 0 ,that means X will lie in between 0 and 2 excluding them, So option (b) is sufficient as 1 is the only integer in this range.

Q #27
:

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 positive integer n perfect square?

  1. Integer ‘n’ is a multiple of 3.
  2. The last digit of ‘n’ is 2 .

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Explanation: So, we can say from option(b) only that any perfect square do not end with 2,3,7,8 and odd no. of zeroes.

Q #28
:

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.

X , Y and Z are positive integers.Find the value of  X + 4Y + 3Z?

  1. 12 X + 13Y + 18 Z = 104
  2. 18 X + 21Y + 15Z = 129.

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Explanation: Even with both the options together , We will not be able to find the solution.

Q #29
:

Directions: Each question has two quantities A and B.

Compare A and B, and then:

  • Mark 1. If A > B
  • Mark 2. If B > A
  • Mark 3. If A = B
  • Mark 4. If the relationship cannot be determined from the given data.

A).Area of a square of diagonal 2 cm. B).Area of an equilateral triangle of side3 cm.

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Clearly B is greater than A . With diagonal of a square given , We can calculate the Area of the square . With the side of an equilateral triangle given , the Area of the Equilateral is found.

Q #30
:

Directions: Each question has two quantities A and B.

Compare A and B, and then:

  • Mark 1. If A > B
  • Mark 2. If B > A
  • Mark 3. If A = B
  • Mark 4. If the relationship cannot be determined from the given data.

A. The number of ice cubes of side 2 cm that can go into a cylindrical can of radius 3?2 cm and height 32 cm. B. The number of ice cubes of side 2 cm that can go into a rectangular box of dimensions 4 x 9 x 32 cm.

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A.On the circular face, we can have 3 x 3, i.e., 9 cubes because the diameter of the circle is 32 cm & the diagonal of a 3x3 squares also is 6?2 cm. Number of cubes that can be accommodated in the cylinder = 9 x 16 = 144 B.In a 9 x 4 x 32 cm rectangular box, we can have 4 x 2 x 16 cubes [because on the side 9 cm, we can have only 4 cubes of side 2 cm] i.e., 128 boxes.