Official Quant thread for CAT 2013

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Question attached

  • 0 < x < 0.5
  • 0.5 < x < 1
  • 1 < x < 2
  • x > 2

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43C r-6= 43 C 3r +1 then the value of r is ?


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What is the largest number of non overlapping sectors that can be created when a circle is crossed by three straight lines?

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One-fourth portion of each of the two solid spheres having radii 4 units and 6 units are joined together such that the centres of the two spheres coincide as shown in the figure given below. What is the total surface area of the solid thus formed?

1) 84pi
2) 88pi
3)73pi
4)75pi

ABCD is a parallelogram E is a pointr on Ab, CE intersects the diagonal BD at O and EF is parallel to BC. If AE : EB = 2:3 find


EF: AD
Area of BEF : Area of ABD
Area of ABD : Area of trapezium AEFD
Area of FEO : Area of OBC

what would be the maximum non overlapping regions formed if 3 circles and three straight lines are arranged in any manner

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Let f(x) = x^9 – 17x^8 + 17x^7 – 17x^6 + …– 17x^2 + 17^x, where x is a real number. Find the value of f(16).

Approach pls??

  • 18
  • 15
  • 16
  • 17

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N consecutive natural numbers have a sum of 500. How many values can N take?

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GEO
What is equation of the line?

A regular hexagon of side 6 cm is rotated through 60° along a line passing through its longest diagonal. What is the volume of the figure thus generated?

A)108pi

B)72pi

C)486pi

D)81pi👍

Three circles with centres A, B and C and radii 1 cm, 2 cm and 3 cm respectively are drawn tangent to each other. The common tangents through points of contact L, M and N intersect in point P. What is the difference between the circum-radius and the in-radius of the triangle formed by joining the centres of these three circles?

A)1.3 cm

B)1.625 cm

C)0.75 cm

D)1.5 cm