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Q #16
:

Directions: Read the following information to answer the question.

How many times does the graph of x = y3 – 6y2 + 11y – 6 intersect the y-axis?

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As it is a poly nominal in y of third degree, it has three roots, the roots being y = 1, 2 or 3 The graph is roughly sketched above

Q #17
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Directions: Read the following information to answer the question.

Which of the following functions is defined for every real value of x?

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The options (1), (2) and (4) have f(x) not defined at x = 0. Considering option (3)

    x2 + 3 > 0 (x2≥ o) Further logarithm is defined for any positive real number.

 


Q #18
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Directions: Read the following information to answer the question.

Identify the relation associated with the graph.

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The graph lies in 2nd and 3rd consider x?y? = -1

    ⇒ x = - 1/?y?. This is the only option which admits x negative.

 


Q #19
:

Directions: Read the following information to answer the question.

For the following graph, y = f(x), which of the following relationships holds true?

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The graph is y = f(x) = - ?x? + 2

    Clearly f(x) = f(x)


Q #20
:

Directions: Read the following information to answer the question.

Find the sum of areas of all the possible closed figures that are described by |x|+|y| = R, where R is an integer satisfying 1<= R <= 10.

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Basically, the equation describes 10 squares of sides ?2, 2?2, 3?2, ….., 10?2. Sum of the areas of the squares is 2(12 + 22 + 32 + ….102) = 2 x 385 = 770 sq. units