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Q #11
:

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 the cube of a number greater than the square of the same no?

  1. The number is positive integer divisble by 2.
  2. The number is a real number greater than 1.

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Explanation: The cube of a number will be greater than its square only if the no. is greater than 1 or the no. lie in between –1 and 0. So if we consider both the option individually, we can reach to the answer.

Q #12
:

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.

 P is one of the digits of the seven digit number 3145p67.What is the value of P?

  1. The sum of the digits is four times an integer.
  2. P is not the same as any other digit in the number.

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Answer (3): Explanation: The sum is 26 + p =4K. So the options for p are 2 and 6 only. 6 is eliminated if we take the help of option(b).so p = 2

Q #13
:

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.

Does X lie between 0 and –1?

  1. X < X^5
  2. X < X^3

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Explanation: X < X^5 only if X is greater than 1 or in between 0 and –1. X < X^3 only if X is greater than 1 or in between 0 and –1. So we can’t say that X lie in a particular range not in other.

Q #14
:

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 the number 27432ab, where a and b are in digits in tens and unit places respectively, find the unique values of a and b.

  1. The number is divisible by 9.
  2. The number is divisible by 8.

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Explanation: With Option(a) only a + b = 9. With Option(b) only (a,b) can be (0,8) , (1,6) ,(2,4), …so on .The only option for a and b are 7 and 2 if we take both the options together. That’s the only unique answer.

Q #15
:

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.

What is the % change in the volume of the cone?

  1. The radius of the base of the cone is 4 cm and the Hieght of the cone 5 cm.
  2. The height of cone is increased by 20% and the radius is decreased by 15 %.

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Explanation: Option (b) is sufficient to know the % change in the volume.