<![CDATA[CAT Question Bank - Geometry (Area)]]>Number of Questions - 30
Topic - Geometry (Area)
Answer key available? - No
Source - Curated Content
]]>https://www.mbatious.com/topic/931/cat-question-bank-geometry-areaRSS for NodeFri, 19 Jul 2019 16:16:35 GMTTue, 24 Oct 2017 07:03:05 GMT60<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 10:53:23 GMT]]>Number of Questions - 30
Topic - Geometry (Area)
Answer key available? - No
Source - Curated Content
]]>https://www.mbatious.com/post/5552https://www.mbatious.com/post/5552Tue, 24 Oct 2017 10:53:23 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:04:53 GMT]]>Q1) A square intersects a circle at eight distinct points such that the area of the circle outside the square is equal to the area of the square outside the circle. If the radius of the circle is ‘r’, then the area of the square is
(a) √2 π r^2
(b) 2πr^2
(c) 3/2 r^2
(d) None of these
]]>https://www.mbatious.com/post/5553https://www.mbatious.com/post/5553Tue, 24 Oct 2017 07:04:53 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:05:46 GMT]]>Q2) ABCD is a square with an area of 8 square meters. A circle is drawn in such a way that the center of the circle lies on the point A and its circumference goes through the point C. Find the area of the circle
]]>https://www.mbatious.com/post/5554https://www.mbatious.com/post/5554Tue, 24 Oct 2017 07:05:46 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:06:27 GMT]]>Q3) What is the minimum area of quadrilateral ABCD if the area of a pair of diagonally opposite triangles (Formed by joining the diagonals of the quadrilateral) is 12 and 27 respectively?
]]>https://www.mbatious.com/post/5555https://www.mbatious.com/post/5555Tue, 24 Oct 2017 07:06:27 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:07:35 GMT]]>Q4) What is the maximum area of a rectangle drawn inside a triangle of base 20 and height 12?
]]>https://www.mbatious.com/post/5556https://www.mbatious.com/post/5556Tue, 24 Oct 2017 07:07:35 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:08:36 GMT]]>Q5) A circular garden with diameter of 20 meters is surrounded by walkway of width 1 meter. What is the area of walkway? ( in m^2)
a. 41π
b. 41
c. 21π
d. 21
]]>https://www.mbatious.com/post/5557https://www.mbatious.com/post/5557Tue, 24 Oct 2017 07:08:36 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:09:53 GMT]]>Q6) ABCD is a square with an area of 8 square meters. A circle is drawn in such a way that the center of the circle lies on the point A and its circumference goes through the midpoint of AB, P and the midpoint of AD. Find the area of the segment that belongs to both the circle and the square.
]]>https://www.mbatious.com/post/5558https://www.mbatious.com/post/5558Tue, 24 Oct 2017 07:09:53 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:44:32 GMT]]>Q7) Find the maximum area possible for a rectangle, square and a triangle inside a semi-circle of radius 6.
]]>https://www.mbatious.com/post/5559https://www.mbatious.com/post/5559Tue, 24 Oct 2017 07:44:32 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:11:43 GMT]]>Q8) What is the largest possible area of an isosceles triangle with two sides having a length of 2 units?
]]>https://www.mbatious.com/post/5560https://www.mbatious.com/post/5560Tue, 24 Oct 2017 07:11:43 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:12:07 GMT]]>Q9) If a square and a rhombus stand on the same base , then the ratio of the areas of the square and the rhombus is
A. graater than 1
B. equal to 1
C. equal to 1/2
D. equal to 1/4
]]>https://www.mbatious.com/post/5561https://www.mbatious.com/post/5561Tue, 24 Oct 2017 07:12:07 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:13:27 GMT]]>Q10) A circular tabletop with maximum possible area is to be cut from a square piece of wood. What percent of the wood surface is not to be used for the tabletop?
a. 21%
b. 25%
c. 35%
d. 30%
e. 18%
]]>https://www.mbatious.com/post/5562https://www.mbatious.com/post/5562Tue, 24 Oct 2017 07:13:27 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:14:07 GMT]]>Q11) In a triangle ABC, points D and E are on the sides AB and AC such that AD:DC = 1:2 and AE:EC = 3:4. If area of the triangle ABC is 21 units and F is the intersection point of BE and CD then what is the absolute difference between the area of the polygons ADFE and BFC?
]]>https://www.mbatious.com/post/5563https://www.mbatious.com/post/5563Tue, 24 Oct 2017 07:14:07 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:14:30 GMT]]>Q12) A square is inscribed inside a circle of radius 15. Find the area of the unoccupied region?
]]>https://www.mbatious.com/post/5564https://www.mbatious.com/post/5564Tue, 24 Oct 2017 07:14:30 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:14:58 GMT]]>Q13) A path 4m broad going through a square shape field, the area of the path is 96 sq m, what's the area of field excluding path?
]]>https://www.mbatious.com/post/5565https://www.mbatious.com/post/5565Tue, 24 Oct 2017 07:14:58 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:53:01 GMT]]>Q14) A square ABCD, with side = 3cm is rotated by 45 degree (keeping its center fixed) to result into another square PQRS. What is the area of the region common to the squares ?
]]>https://www.mbatious.com/post/5566https://www.mbatious.com/post/5566Tue, 24 Oct 2017 07:53:01 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:15:40 GMT]]>Q15) If a right isosceles triangle is inscribed in a semi circle, what is the ratio of the area of the circle to the area of the triangle?
]]>https://www.mbatious.com/post/5567https://www.mbatious.com/post/5567Tue, 24 Oct 2017 07:15:40 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:16:31 GMT]]>Q16) How many rectangles are possible such that its area is five times the perimeter
]]>https://www.mbatious.com/post/5568https://www.mbatious.com/post/5568Tue, 24 Oct 2017 07:16:31 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:17:04 GMT]]>Q17) The product of the lengths of three sides of a triangle is 196 and the radius of its circumscribe is 2.5 cm. What is the area of the triangle ?
]]>https://www.mbatious.com/post/5569https://www.mbatious.com/post/5569Tue, 24 Oct 2017 07:17:04 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:45:09 GMT]]>Q18) If ABC is a triangle such that AB = 3cm, BC = 4cm & CA = 5 cm, then area of the largest square in side the triangle ABC is how much % more or less than the area of largest rectangle in side triangle ABC.
a. 0
b. 2.083
c. 2.041
d. None of the above
]]>https://www.mbatious.com/post/5570https://www.mbatious.com/post/5570Tue, 24 Oct 2017 07:45:09 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:19:52 GMT]]>Q19) Four lines parallel to the base of a triangle divide each of the other sides into five equal segments and the area into five distinct parts. If the area of the largest of these parts is 27, then what is the area of the original triangle ?
]]>https://www.mbatious.com/post/5571https://www.mbatious.com/post/5571Tue, 24 Oct 2017 07:19:52 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:23:15 GMT]]>Q20) Inside a square ABCD, a point P is selected such that AP = 3, BP = 2, CP = 1. Find the area of ABCD
]]>https://www.mbatious.com/post/5572https://www.mbatious.com/post/5572Tue, 24 Oct 2017 07:23:15 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:24:42 GMT]]>Q21) A right circular cone of base radius 4cm and height 10cm has a cylinder placed inside it with one of the flat surface resting on the base of the cone . The largest possible area if total surface area of the cylinder is
a. 100π/3
b. 80π/3
c. 120π/3
d. 110π/3
]]>https://www.mbatious.com/post/5573https://www.mbatious.com/post/5573Tue, 24 Oct 2017 07:24:42 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:31:15 GMT]]>Q22) Consider a rectangle ABCD of area 90 units. The points P and Q trisect AB, and R bisects CD. The diagonal AC intersects the line segnients PR and QR at M and N respectively. What is the area (A) of the quadrilateral PQMN?
a) 9.5 < A ≤ 10
b) 10 < A ≤ 10.5
c) 10.5 < A ≤ 11
d) 11 < A ≤ 11.5
e) A > 11.5
]]>https://www.mbatious.com/post/5574https://www.mbatious.com/post/5574Tue, 24 Oct 2017 07:31:15 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:32:08 GMT]]>Q23) Two of the vertices of the regular pentagon drawn on the co-ordinate plane are known to be (10,20) and (17,40). What is the ratio of the maximum possible area to the minimum possible area of such a pentagon?
(Cos 36 = (√5 + 1)/4)
a. 4 - (√5/2)
b. 2 + (√5/2)
c. (3 +√5)/2
d. 3 + (2/√5)
]]>https://www.mbatious.com/post/5575https://www.mbatious.com/post/5575Tue, 24 Oct 2017 07:32:08 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:32:47 GMT]]>Q24) Let VK and KJ be perpendicular line segments, each of which of length 6 cm. Suppose P and Q are the mid-points of VK and KJ respectively. If R is the point of intersection of VQ and PJ, then the area of triangle RQJ is
a) 6 sq. cm
b) 3 sq. cm
c) 3√2 sq. cm
d) 6√2 sq. cm
]]>https://www.mbatious.com/post/5576https://www.mbatious.com/post/5576Tue, 24 Oct 2017 07:32:47 GMT<![CDATA[Reply to CAT Question Bank - Geometry (Area) on Tue, 24 Oct 2017 07:36:13 GMT]]>Q25) A triangle has vertex A at (0, 3), vertex B at (4, 0), and a vertex C at (x, 5) for some x where 0 < x < 4. If the area of the triangle is 8, what is the value of x?
]]>https://www.mbatious.com/post/5577https://www.mbatious.com/post/5577Tue, 24 Oct 2017 07:36:13 GMT