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Q #36
:

Directions: Each problem contains a question and two statements giving certain data.

You have to select the correct answer from [1] to [4] depending on the sufficiency of the data given in the statements to answer the question.

  1. Mark 1. If statement I alone without the help of statement II is sufficient to answer the question.
  2. Mark 2. If statement II alone without the help of statement I is sufficient to answer the question.
  3. Mark 3. If statement I and II together are needed but not either statement alone sufficient to answer the         questions.
  4. Mark 4. If the question cannot be answered and additional information is needed besides statements I and II.

The number of boys in grade 7 is equal to the number of girls in grade 8. If 2 students are selected at random, one from the 7th grade and one from the 8th grade, which of the two is more likely to be a girl?

  1. If each girl from grade 7 was paired with a boy of grade 8, then 25 boys of grade 8 would have no partners.
  2. If each girl of grade 8 was paired with each boy of grade 8, then 15 boys of grade 8 would have no partners.


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Explanation: Leg g be the number of girls in grade 7. Then using statement I, boys in grade 8 = g – 25. From statement II, we know that girls in grad 8 = g + 25 – 10 = g + 15. Hence, boys in grade 7 = g + 15. To answer the question we need to compare the ratio of girls in grade 7 out of total students of grade 7, and girls in grade 8 out of total students in grade 8. i.e. . For some of values of g, first fraction is smaller, while for other values, the second may be smaller. Hence [4]

Q #37
:

Directions: Each problem contains a question and two statements giving certain data.

You have to select the correct answer from [1] to [4] depending on the sufficiency of the data given in the statements to answer the question.

  1. Mark 1. If statement I alone without the help of statement II is sufficient to answer the question.
  2. Mark 2. If statement II alone without the help of statement I is sufficient to answer the question.
  3. Mark 3. If statement I and II together are needed but not either statement alone sufficient to answer the         questions.
  4. Mark 4. If the question cannot be answered and additional information is needed besides statements I and II.

Is k greater than 3?

  1. (k – 3) ( – 2) (k – 1) > 0
  2. k> 1


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Explanation: Since the answer can be obtained from the first statement alone, option [1] is correct.

Q #38
:

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.

  1. If the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.
  2. If the question can be answered by using either statement alone.
  3. If the question can be answered by using both statements together, but cannot be answered by using either statement alone.
  4. If the question cannot be answered based on the information provided 

Radhesh is a class X student and is practicing for his board exam. He draws a circle of radius 9.6 cm. He also draws a chord, whose length is

  1. If you measure the perpendicular distance from the centre of the centre of the circle to the chord, you get 6 cm
  2. If you draw a triangle with two end points being the end points of the chord and the third point touching the circle, the 3rd angle is 80 degrees 


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Explanation: Statement I allows you get the answer since the perpendicular from the centre of the circle to the chord is going to bisect the chord. Then using Pythagoras theorem, you can calculate the length of the ½ chord Statement II doesn’t provide you any concrete information to be useful

Q #39
:

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.

  1. If the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.
  2. If the question can be answered by using either statement alone.
  3. If the question can be answered by using both statements together, but cannot be answered by using either statement alone.
  4. If the question cannot be answered based on the information provided 

Is the prime number p equal to 37?

  1. p = n^2 + 1, where n is an integer   
  2. p^2 is greater than 200


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Explanation: Since 142 = 196 and 152 = 225, if follows from (B) that p > 14 In (A) the expression n2 + 1 can represent a prime number less than 37, equal to 37, or greater than 37, depending on the value of n. For example, if n = 4, the 42 + 1 = 17; if n = 6, then 62 + 1 = 37; if n = 10, then 102 + 1 = 101; and 17, 37, and 101 are all prime numbers. Thus, (A) alone is not sufficient Both the statements together are not sufficient

Q #40
:

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.

  1. If the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.
  2. If the question can be answered by using either statement alone.
  3. If the question can be answered by using both statements together, but cannot be answered by using either statement alone.
  4. If the question cannot be answered based on the information provided 

A shopkeeper sells pens of two companies i.e. Reynold and Cello, in two different packs. A pack of Reynold’s pens contains 10 pens while a pack of Cello’s pens contain 5 pens. What is the price of one pack of Reynold’s pens?

  1. When a customer came to the shopkeeper’s shop he bought two packs of pens  in rupees by the same two digits.
  2. The cost of each Reynold’s pen is 50 paise higher than that of each Cello pen.


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Explanation: Suppose the number of rupees obtained for the pack of Reynold’s pen is expressed by the digits x and y. From I: The price of each pen of Reynold’s company 10x + y/10 and, the price of each pen of Cello 10y + x/5 From II : Difference between the price of each pen of the given two companies is Rs 0.5. We get 10x + y/10 - 10y + x/5 = 50 By solving it we get, x = 3 and y = 1 Hence, the price of each pack of Reynold’s pen is Rs. 31.