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Q #16
:

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.

Which is the smallest of the 3 positive integers a, b and c ?

  1. ab=6
  2. bc=12, ac=8

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Explanation: With option (a) & (b) together , we would be able to find the values of a, b & c . Hence would be able to determine the smallest of the three integers

Q #17
:

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 man distributed 43 chocolates to his children. How many children are older than 5 years?

    1. A child older than 5 years gets 5 chocolates.
    2. A child 5 years or younger gets 6 chocolates.

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Explanation: The only solution is 5 * 5 + 6 * 3 = 43.

Q #18
:

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.

Can the shopkeeper weigh exactly 1kg rice using three weights he has?

  1. A weighs 7 kg, B weighs 3 kg, and C weighs 5 kg.
  2. The shopkeeper has 2 weights of B type and another weight of either A or C type.

+

Explanation: Yes we can measure 1kg weigh but both options are needed.

Q #19
:

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.

In the equation X^2 +bX –10 = 0, what is the value of b?

  1. The roots the equation are natural no.s less than 10.
  2. b<0

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Explanation: With option (a), b can have values as –11 and –7 .with option (a) ,b can have values both values still . So , even with both the options together, we will not be able to find the value of b.

Q #20
:

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.

abcd a four digit perfect square number .What this number have in its unit place ?

  1. The digit in tens place is seven.
  2. The digit in tens place is two.

+

Explanation: all the perfect square no.s which have seven at the ten’s place ,would always have six at the unit’s place, but the vice-versa is not true.