CAT 2017 Slot 2 Question Paper

Instructions

For the following questions answer them individually

CAT 2017 Slot 2 - Question 81


Let ABCDEF be a regular hexagon with each side of length 1 cm. The area (in sq cm) of a square with AC as one side is

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CAT 2017 Slot 2 - Question 82


The base of a vertical pillar with uniform cross section is a trapezium whose parallel sides are of lengths 10 cm and 20 cm while the other two sides are of equal length. The perpendicular distance between the parallel sides of the trapezium is 12 cm. If the height of the pillar is 20 cm, then the total area, in sq cm, of all six surfaces of the pillar is

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CAT 2017 Slot 2 - Question 83


The points (2, 5) and (6, 3) are two end points of a diagonal of a rectangle. If the other diagonal has the equation y =3x+c,then c is

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CAT 2017 Slot 2 - Question 84


ABCD is a quadrilateral inscribed in a circle with centre O such that O lies inside the quadrilateral. If $$\angle COD = 120$$ degrees and $$\angle BAC = 30$$ degrees, then the value of $$\angle BCD$$ (in degrees) is

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CAT 2017 Slot 2 - Question 85


If three sides of a rectangular park have a total length 400 ft, then the area of the park is maximum when the length (in ft) of its longer side is

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CAT 2017 Slot 2 - Question 86


Let P be an interior point of a right-angled isosceles triangle ABC with hypotenuse AB. If the perpendicular distance of P from each of AB,BC,and CA is $$4(\sqrt{2}-1)$$ cm,then the area, in sq cm, of the triangle ABC is

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CAT 2017 Slot 2 - Question 87


If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is

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CAT 2017 Slot 2 - Question 88


If x is a real number such that $$\log_{3}5= \log_{5}(2 + x)$$, then which of the following is true?

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CAT 2017 Slot 2 - Question 89


Let $$f(x) = x^{2}$$ and $$g(x) = 2^{x}$$, for all real x. Then the value of f[f(g(x)) + g(f(x))] at x = 1 is

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CAT 2017 Slot 2 - Question 90


The minimum possible value of the sum of the squares of the roots of the equation $$x^2+(a+3)x-(a+5)=0 $$ is

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