# Free CAT Questions

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### Mensuration, Geometry & Co-ordinate Geometry

• Discussion in CAT
• Created by @pagalguy
ABCD is a convex quadrilateral in which <(BAC) = <(CBD) = 30 deg, <(CAD) = 60 deg, <(CDB) = 15 deg. If E is the point of intersection of AC and BD, then measure of <(BEA) in degrees (is)

A cube of side length 3 cm weighs 12 kg . What is the weight of the similar cube of same material whose side length is 12 cm

• 768. 2d.
• 3*3*3 weights 12 therefore 12*12*12 weights 768. 1d.
IIM Dreamer @iim_dreamer 1

3*3*3 weights 12 therefore 12*12*12 weights 768

volume of a sphere, a cube, a tetrahedron and an octahedron are same. For which of the following sturctures, it will have maximum surface area?? what is the rating of their surface areas frm highest t least??

• 2 Likes
• is it tetra > sphere > octo?. 1d.
IIM Dreamer @iim_dreamer 1

is it tetra > sphere > octo?

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can anyone tell the formula for height of a regular tetrahedron?

• sqrt(10)*a. Where a is the side length of the cube from w.... 17 Jun.
Jaurabh Soglekar @Saurabh.Acejay 6

sqrt(10)*a. Where a is the side length of the cube from which the tetrahedron is formed.

can anyone tell the formula for height of a regular tetrahedron?

can anyone tell the formula for height of a regular tetrahedron?

can anyone tell the formula for height of a regular tetrahedron?

The base of an isosceles triangles is root2. The medians to the legs intersect each other at right angles.The area of the triangle is ?

a) 1.5 b)2 c)2.5 d)3.5

Can any1 please solve this sum ?

• 1 Like   9Comments
• median is also perpendicular bisector....use that fa.... 10 Sep.
• answer :a. 10 Sep.
roshan kumar @roshancs10 8

@bhani: after sides are found as 5/2, 5/2, root 2..How to calculate the area???

Raj Malhotra @greatheights123 16

median is also perpendicular bisector....use that fact and find area= 1/2 base *height

ABCD is acyclic quadrilateral, AB is a diameter of the circle. If angle ACD=50, the value of angle BAD is..??
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@prialall @piyush5337 Refer the attachment

Trigonometry :At the foot of a mountain the elevation of its summit is 45 degree ,after ascending 1000m towards the mountain up a stop of 30 degree inclination , the elevation is found to be 60 degree .Find the height of the mountain.

• 1 Like
• thanx a lot . . @garry1337. 03 Mar.
##### Attachments

There are eight rays in a plane with a common end point. The measures of the eight non overlapping angles,in degrees are a,b,c,d,e,f,g and h+4. The numbers a,b,c,d,e,f,g,h are consecutive integers. How many of these angles exceed 45 degree ?

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Find the volume of the largest right circular cone that can be cut out of a cuboid of dimensions
56cm * 21cm * 14cm.
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Ravi mowed the grass on a rectangular lawn of dimesions 30m by 40m. He mowed using a 1m wide strip. He starts moving from one of the corners of the lawn and moved around it towards the center. How many times would he go round before he completed mowing half of the lawn.

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heyyy
i am in ...

Determine the value(s) of a for which the point (a, a2) lies inside the triangle formed by the lines:2x + 3y = 1, x + 2y = 3 and 5x – 6y = 1

35 people answered this question.