<![CDATA[Question Bank - Geometry - Hemant Malhotra]]>Number of Questions: 100
Topic: Geometry
Answer key available?: No
Source: Elite's Grid forum
]]>https://www.mbatious.com/topic/535/question-bank-geometry-hemant-malhotraRSS for NodeSun, 20 Sep 2020 09:55:16 GMTWed, 01 Mar 2017 06:40:41 GMT60<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Mon, 29 Jan 2018 04:40:18 GMT]]>Number of Questions: 100
Topic: Geometry
Answer key available?: No
Source: Elite's Grid forum
]]>https://www.mbatious.com/post/780https://www.mbatious.com/post/780Mon, 29 Jan 2018 04:40:18 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Wed, 01 Mar 2017 06:41:50 GMT]]>Q1) Centroid of triangle is at (1,-1) while its orthocenter is at (5,3) then circumcentre of triangle could be
(1) (-1,-3)
(2) (8/3 , 0)
(3) (0,8/3)
(4) (7/3,1/3)
]]>https://www.mbatious.com/post/781https://www.mbatious.com/post/781Wed, 01 Mar 2017 06:41:50 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Wed, 01 Mar 2017 06:42:14 GMT]]>Q2) The legs of a right triangle are 8 and 15. Find the altitude to the hypotenuse
]]>https://www.mbatious.com/post/782https://www.mbatious.com/post/782Wed, 01 Mar 2017 06:42:14 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Wed, 01 Mar 2017 06:42:29 GMT]]>Q3) When the base of a triangle is increased 10% and the altitude to this base is decreased 10%, the change in area is
]]>https://www.mbatious.com/post/783https://www.mbatious.com/post/783Wed, 01 Mar 2017 06:42:29 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Wed, 01 Mar 2017 06:43:00 GMT]]>Q4) Let us take a point P inside an equilateral triangle. The sum of lengths of the perpendiculars dropped to the 3 sides of the triangle is equal to 1000. Then the length of the altitude of the triangle is:
]]>https://www.mbatious.com/post/784https://www.mbatious.com/post/784Wed, 01 Mar 2017 06:43:00 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Wed, 01 Mar 2017 06:43:25 GMT]]>Q5) In a ∆ABC,AD & BE are medians and G is the centroid, ∠AGE = 30°, AD=12cm & BE= 18cm. Find the area of the triangle?
]]>https://www.mbatious.com/post/785https://www.mbatious.com/post/785Wed, 01 Mar 2017 06:43:25 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Wed, 01 Mar 2017 06:43:43 GMT]]>Q6) In a triangle with integer side lengths, one side is three times as long as a second side, and the length of the third side is 15. What is the greatest possible perimeter of the triangle?
]]>https://www.mbatious.com/post/786https://www.mbatious.com/post/786Wed, 01 Mar 2017 06:43:43 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Thu, 01 Jun 2017 06:34:19 GMT]]>Q7) Given 10 distinct points, A_1 through A_5 on line R, and B_1 through B_5 on line S, draw the 25 possible line segments A_i B_j. Excluding the 10 given points themselves, what is the minimum number of distinct points at which these 25 segments can intersect?
]]>https://www.mbatious.com/post/1345https://www.mbatious.com/post/1345Thu, 01 Jun 2017 06:34:19 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Thu, 01 Jun 2017 06:35:19 GMT]]>Q8) PQ and RS are perpendicular chords of a circle intersecting at T. RT= 2.5, TS=11, PT= 3. Find the radius of the circle (approximately).
a) 4.5
b) 12.1
c) 7.4
d) 15.6
]]>https://www.mbatious.com/post/1347https://www.mbatious.com/post/1347Thu, 01 Jun 2017 06:35:19 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Thu, 01 Jun 2017 06:41:39 GMT]]>Q9) For a trapezium, S1 denotes the sum of the squares of the sides and S2 denotes the sum of the squares of the diagonals. S1 – S2 = 576. If the longer parallel side is 50 cm, the shorter parallel side is _______.
a) 26 cm
b) 22 cm
c) 18 cm
d) 30 cm
]]>https://www.mbatious.com/post/1350https://www.mbatious.com/post/1350Thu, 01 Jun 2017 06:41:39 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Thu, 01 Jun 2017 06:42:38 GMT]]>Q10) 2x + 3y + 5 = 0 and 6x – 4y + 9 = 0 are two lines. If a point is at a distance of 1 unit from each of the two given lines, then how many such points exist?
a) 1
b) 3
c) 4
d) 2
]]>https://www.mbatious.com/post/1352https://www.mbatious.com/post/1352Thu, 01 Jun 2017 06:42:38 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Thu, 01 Jun 2017 06:45:36 GMT]]>Q11) A triangle, whose sides are 20 cm, 48 cm and 52 cm, is to be cut into two pieces of equal area by a single straight cut, which passes through one of the vertices of the triangle. What is the approximate maximum value of the sum of the perimeters of the two pieces
]]>https://www.mbatious.com/post/1354https://www.mbatious.com/post/1354Thu, 01 Jun 2017 06:45:36 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Wed, 03 Jan 2018 13:13:37 GMT]]>Q12) A goat is tied at the corner of a rectangular shed of dimensions 14 m x 7 m, with a rope 21 m long. If the goat can graze on the ground around and outside the shed as far as it is permitted by the rope, find the area (in sq.m.) on which it can graze.
a) 1232
b) 1560.5
c) 1260
d) 1543.5
]]>https://www.mbatious.com/post/1358https://www.mbatious.com/post/1358Wed, 03 Jan 2018 13:13:37 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Thu, 01 Jun 2017 06:50:07 GMT]]>Q13) The 2 adjacent sides of a quadrilateral are 6cm and 8cm. What is the maximum area of the quadrilateral (in sq cm) if it is inscribed in a circle of radius 5cm ?
]]>https://www.mbatious.com/post/1359https://www.mbatious.com/post/1359Thu, 01 Jun 2017 06:50:07 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Mon, 07 Aug 2017 04:46:54 GMT]]>Q14) A hexagon with sides of length 2, 7, 2, 11, 7, 11 is inscribed in a circle. Find the radius of the circle.
]]>https://www.mbatious.com/post/3460https://www.mbatious.com/post/3460Mon, 07 Aug 2017 04:46:54 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Mon, 21 Aug 2017 04:14:17 GMT]]>Q15) Four cubes of volume 1, 8, 27, and 125 are glued together at their faces. What is the smallest possible surface area of the resulting solid figure?
]]>https://www.mbatious.com/post/3727https://www.mbatious.com/post/3727Mon, 21 Aug 2017 04:14:17 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Thu, 24 Aug 2017 11:44:51 GMT]]>Q16) If ΔPAB is formed by three tangents to a circle having centre O and ∠APB = 40º, find ∠AOB.
]]>https://www.mbatious.com/post/3761https://www.mbatious.com/post/3761Thu, 24 Aug 2017 11:44:51 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Thu, 24 Aug 2017 12:14:26 GMT]]>Q17) A green colour cube is cut into smaller and identical cubes with 6 cuts. The cube is cut with a knife which applies red colour to the surfaces of the cubes while cutting. The smaller cubes are further cut with 6 cuts into smaller and identical cubes, with a knife which does not apply any colour to the surface. The questions are based on the cubes obtained after these cuts. How many smaller cubes have three faces coloured red?
a) 48
b) 52
c) 56
d) 64
]]>https://www.mbatious.com/post/3762https://www.mbatious.com/post/3762Thu, 24 Aug 2017 12:14:26 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Fri, 25 Aug 2017 08:00:44 GMT]]>@hemant_malhotra right angled triangle is of form 8-15-17
area of triangle = (1/2)xhx17 = 1/2x8x15
h = 7
]]>https://www.mbatious.com/post/3782https://www.mbatious.com/post/3782Fri, 25 Aug 2017 08:00:44 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Mon, 28 Aug 2017 04:26:11 GMT]]>Q18) A, B, C, ..... till K are 11 points, spaced on the circumference of a circle in that order. What is the sum of all the corner angles of the ‘star’ formed by joining the points AEIBFJCGKDHA - in that order?
]]>https://www.mbatious.com/post/3788https://www.mbatious.com/post/3788Mon, 28 Aug 2017 04:26:11 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Mon, 28 Aug 2017 04:26:38 GMT]]>Q19) In a cyclic quadrilateral ABCD, if AB = 2, BC = 3, CD = 4 and DA = 5, what is the ratio of the lengths of the diagonals?
(1) 7 : 11
(2) 11 : 13
(3) 10 : 11
(4) 13 : 15
]]>https://www.mbatious.com/post/3789https://www.mbatious.com/post/3789Mon, 28 Aug 2017 04:26:38 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Wed, 30 Aug 2017 19:21:01 GMT]]>@hemant_malhotra
simple ..centroid will be -1,-3
]]>https://www.mbatious.com/post/3826https://www.mbatious.com/post/3826Wed, 30 Aug 2017 19:21:01 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Wed, 30 Aug 2017 19:24:19 GMT]]>@hemant_malhotra decrease by 1 percent
]]>https://www.mbatious.com/post/3827https://www.mbatious.com/post/3827Wed, 30 Aug 2017 19:24:19 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Tue, 05 Sep 2017 09:44:35 GMT]]>Q20) What is the least possible number of cuts required to cut a cube into 34 identical pieces ?
]]>https://www.mbatious.com/post/3916https://www.mbatious.com/post/3916Tue, 05 Sep 2017 09:44:35 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Tue, 05 Sep 2017 09:45:00 GMT]]>let number of cuts along length , width and height is a,b,c and total number of cuts=a+b+c
number of cubes =(a+1)(b+1)(c+1)
If product is cnstant sum will be minimum if they are very close to each other
here (a+1)(b+1)(c+1)=1 * 2 * 17
so a+1+b+1+c+1=1+2+17 so a+b+c=17
]]>https://www.mbatious.com/post/3917https://www.mbatious.com/post/3917Tue, 05 Sep 2017 09:45:00 GMT<![CDATA[Reply to Question Bank - Geometry - Hemant Malhotra on Tue, 05 Sep 2017 09:47:14 GMT]]>Q21) A right circular cylindrical vessel having height 20 cm and inner diameter 10 cm is filled with water upto 15 cm of it's height as measured from the base. Find the angle by which the cylinder must be tilted so that the water in the cylinder is just about to fall out?
]]>https://www.mbatious.com/post/3918https://www.mbatious.com/post/3918Tue, 05 Sep 2017 09:47:14 GMT