STEP Civil Service Orientation Project Sample Question Paper for IAS Prelims CSAT‚ Set ‐ 2 2012 w w w . s k s s f s t e p . b l o g s p o t . i n Page 1 Q.1. An equilateral triangular plate is to be cut in to n number of identical small equilateral triangular plates. Which of the following can be possible value of n? (a) 196 (b) 216 (c) 256 (d) 296 Q.2. Find the area of the sector covered by the hour hand after it has moved through 3 hours and the length of the hour hand is 7cm. (a) 1. 77 sq.cm
Premium Regular polygon Angle Integer
Babyloneans and the Chinese already knew that a triangle with the sides of 3‚ 4 and 5 must be a right triangle. They used this knowledge to construct right angles. By dividing a string into twelve equal pieces and then laying it into a triangle so that one side is three‚ the second side four and the last side five sections long‚ they could easily construct a right angle. A Greek scholar named Pythagoras‚ who lived around 500 BC‚ was also fascinated by triangles with these special side ratios. He studied
Premium Pythagorean theorem Triangle
constant elevation‚ as suggested by the diagram below left. By measuring the net distance traveled in each of two perpendicular directions‚ the lengths of two legs of a right triangle are determined‚ and the hypotenuse of the triangle is the proposed line of the tunnel. By laying out smaller similar right triangles at each entrance‚ markers can be used by each crew to determine the direction for tunneling. Later in this article I will apply Hero’s method to the terrain on Samos. Hero’s
Premium Greece Triangle Turkey
Area of triangle + Area of rectangle= Area of pentagon C. Differentiation D. The quadratic equation The quadratic formula OR Factorization of the quadratic formula E. Problem solution A Problem diagram E B ycm D 8xcm C i) F is the mid-point of line EB and it’s also the perpendicular of triangle EAB. The line AF cuts triangle EAF in half
Free Area Quadratic equation Triangle
above triangle and find the value of B‚ b‚ and c. A. A+B+C=180 B. A+C=48+97=145 C. B=180-145=35 2. Two sides and an angle (SSA) of a triangle are given. Determine if the given measurements produce one triangle‚ two triangles‚ or no triangle at all. Sin B)/5=sin70/7 Sin B/5=0.9397/7 Sin B=0.6712 then B=42 or 138〗 B = 138 is impossible since 138 + 70 = 208 and exceeds 180 B=42 since 42+70 = 112 and less than 180 C = 180 – 112 = 68 There’s only one triangle 3
Premium Yard Angle Triangle
3 h O B b y c x h C y b x x IBB b3h3 6(b2 h2) 3 Triangle (Origin of axes at centroid) A Ix Ixy bh 2 bh3 36 bh2 (b 72 x Iy 2c) b 3 bh 2 (b 36 IP c y bc h 3 c2) b2 bc c2) bh 2 (h 36 E1 © 2012 Cengage Learning. All Rights Reserved. May not be scanned‚ copied or duplicated‚ or posted to a publicly accessible website‚ in whole or in part. E2 APPENDIX E Properties of Plane Areas 4 y B c B h Triangle (Origin of axes at vertex) Ix Ixy bh3 12 bh2 (3b 24 Iy bh (3b2
Premium Triangle Circle Regular polygon
sword‚ only this time the sheath holds the sunlight and the blue sky themselves. And through the light’s revealing‚ the single small incandescent boat in the far distance is readily noticed. Within the sailboats and the waves forms is the shape of triangles. The tops of the houses also have triangular shapes to them. The oval shape of the flying birds resembles the clouds and adds to the skyline a lively repetition that draws the eye towards the lone ship in the distance. As the waves seem to move to
Premium Blue Color Light
area of sphere = 4 r 2 r l a a + b2 = c2 4 3 Volume of sphere = h 2 hyp r opp adj adj = hyp cos opp = hyp sin opp = adj tan or sin opp hyp cos adj hyp tan opp adj In any triangle ABC C b a A Sine rule: B c a sin A b sin B c sin C Cosine rule: a2 b2 + c 2 2bc cos A 1 2 Area of triangle ab sin C cross section h lengt Volume of prism = area of cross section length Area of a trapezium = 12 (a + b)h r a Circumference of circle = 2 r Area of circle = r 2 h b r Volume
Premium Triangle Volume Area
Amongst the lay public of non-mathematicians and non-scientists‚ trigonometry is known chiefly for its application to measurement problems‚ yet is also often used in ways that are far more subtle‚ such as its place in the theory of music; still other uses are more technical‚ such as in number theory. The mathematical topics of Fourier series and Fourier transforms rely heavily on knowledge of trigonometric functions and find application in a number of areas‚ including statistics. There is an enormous
Premium Law of cosines Pythagorean theorem Triangle
[pic]πr3 Volume of cone [pic]πr2h Surface area of sphere = 4πr2 Curved surface area of cone = πrl [pic] [pic] In any triangle ABC The Quadratic Equation The solutions of ax2+ bx + c = 0 where a ≠ 0‚ are given by x = [pic] Sine Rule [pic] Cosine Rule a2 = b2+ c2– 2bc cos A Area of triangle = [pic]ab sin C Answer ALL questions. Write your answers in the spaces provided. You must write down all stages in your working.
Premium Triangle Volume