{"id":25932,"date":"2019-03-11T18:48:44","date_gmt":"2019-03-11T13:18:44","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=25932"},"modified":"2019-03-11T18:49:25","modified_gmt":"2019-03-11T13:19:25","slug":"ssc-cgl-circle-questions-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/ssc-cgl-circle-questions-pdf\/","title":{"rendered":"SSC CGL Circle Questions PDF"},"content":{"rendered":"<h1><span style=\"text-decoration: underline;\"><strong>SSC CGL Circle Questions PDF:<\/strong><\/span><\/h1>\n<p>Download SSC CGL Circle questions with answers PDF based on previous papers very useful for SSC CGL exams. 25 Very important Circle objective questions for SSC exams.<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/downloads\/3560\" target=\"_blank\" class=\"btn btn-danger  download\">Download SSC CGL Circle Questions PDF<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/pay\/5nPc0\" target=\"_blank\" class=\"btn btn-info \">25 SSC CGL Mocks &#8211; Just Rs. 149<\/a><\/p>\n<p><a href=\"https:\/\/cracku.in\/pay\/5nPc0\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-25661 size-full\" src=\"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests.png\" alt=\"SSC CGL Mock Test\" width=\"728\" height=\"90\" srcset=\"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests.png 728w, https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests-300x37.png 300w, https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests-30x4.png 30w, https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests-696x86.png 696w\" sizes=\"auto, (max-width: 728px) 100vw, 728px\" \/><\/a><\/p>\n<p><b>Question 1:\u00a0<\/b>A copper wire is bent in the form of square with an area of 121 cm 2. If the same wire is bent in the form of a circle, the radius (in cm) of the circle is<\/p>\n<p>a)\u00a07<\/p>\n<p>b)\u00a010<\/p>\n<p>c)\u00a011<\/p>\n<p>d)\u00a014<\/p>\n<p><b>Question 2:\u00a0<\/b>AC and BC are two equal cords of a circle. BA is produced to any point P and CP, when joined cuts the circle at T. Then<\/p>\n<p>a)\u00a0CT : TP = AB : CA<\/p>\n<p>b)\u00a0CT : TP = CA : AB<\/p>\n<p>c)\u00a0CT : CB = CA : CP<\/p>\n<p>d)\u00a0CT : CB = CP : CA<\/p>\n<p><b>Question 3:\u00a0<\/b>The diagonals AC and BD of a cyclic quadrilateral ABCD intersect each other at the point P. Then, it is always true that<\/p>\n<p>a)\u00a0AP . CP = BP . DP<\/p>\n<p>b)\u00a0AP . BP = CP . DP<\/p>\n<p>c)\u00a0AP . CD = AB . CP<\/p>\n<p>d)\u00a0BP . AB = CD . CP<\/p>\n<p><b>Question 4:\u00a0<\/b>A, B, C, D are four points on a circle. AC and BD intersect at a point such that $\\angle{BEC} = 130^o$ and $\\angle{ECD} = 20^o$. Then, $\\angle{BAC}$ is<\/p>\n<p>a)\u00a090 $^{\\circ}$<\/p>\n<p>b)\u00a0100 $^{\\circ}$<\/p>\n<p>c)\u00a0110 $^{\\circ}$<\/p>\n<p>d)\u00a0120 $^{\\circ}$<\/p>\n<p><b>Question 5:\u00a0<\/b>ABCD is a cyclic trapezium with AB || DC and AB = diameter of the circle. If angleCAB = $30^{\\circ}$, then angleADC is<\/p>\n<p>a)\u00a0$60^{\\circ}$<\/p>\n<p>b)\u00a0$120^{\\circ}$<\/p>\n<p>c)\u00a0$150^{\\circ}$<\/p>\n<p>d)\u00a0$30^{\\circ}$<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/ssc-cgl-previous-papers\" target=\"_blank\" class=\"btn btn-alone \">SSC CGL Previous Papers Download PDF<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/ssc-cgl-online-mock-tests\" target=\"_blank\" class=\"btn btn-danger \">SSC CGL Free Mock Test<\/a><\/p>\n<p><a href=\"https:\/\/cracku.in\/pay\/5nPc0\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-25661 size-full\" src=\"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests.png\" alt=\"SSC CGL Mock Test\" width=\"728\" height=\"90\" srcset=\"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests.png 728w, https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests-300x37.png 300w, https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests-30x4.png 30w, https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests-696x86.png 696w\" sizes=\"auto, (max-width: 728px) 100vw, 728px\" \/><\/a><\/p>\n<p><b>Question 6:\u00a0<\/b>AB is the chord of a circle with centre O and DOC is a line segement originating from a point D on the circle and intersecting AB produced at C such that BC = OD. If $\\angle$BCD =$20^{\\circ}$, then $\\angle$AOD =?<\/p>\n<p>a)\u00a0$20^{\\circ}$<\/p>\n<p>b)\u00a0$30^{\\circ}$<\/p>\n<p>c)\u00a0$40^{\\circ}$<\/p>\n<p>d)\u00a0$60^{\\circ}$<\/p>\n<p><b>Question 7:\u00a0<\/b>A square ABCD is inscribed in a circle of unit radius. Semicircles are described on each side of a diameter. The area of the region bounded by the four semicircles and the circle is<\/p>\n<p>a)\u00a01 sq. unit<\/p>\n<p>b)\u00a02 sq. unit<\/p>\n<p>c)\u00a01.5 sq. unit<\/p>\n<p>d)\u00a02.5 sq. unit<\/p>\n<p><b>Question 8:\u00a0<\/b>Two circles touch each other internally. Their radii are 2 cm and 3 cm. The biggest chord of the greater circle which is outside the inner circle is if length<\/p>\n<p>a)\u00a0$2\\sqrt{2}$ cm<\/p>\n<p>b)\u00a0$3\\sqrt{2}$ cm<\/p>\n<p>c)\u00a0$2\\sqrt{3}$ cm<\/p>\n<p>d)\u00a0$4\\sqrt{2}$ cm<\/p>\n<p><b>Question 9:\u00a0<\/b>What is the length of the arc if it subtends 48\u00b0 at the center of a circle with radius r = 7 cm.<\/p>\n<p>a)\u00a07.28 cm<\/p>\n<p>b)\u00a08.16 cm<\/p>\n<p>c)\u00a05.867 cm<\/p>\n<p>d)\u00a06.48 cm<\/p>\n<p><b>Question 10:\u00a0<\/b>What is the length of the chord of a circle of radius 5 cm, if the perpendicular distance between centre and chord is 4 cm.<\/p>\n<p>a)\u00a09 cm<\/p>\n<p>b)\u00a07 cm<\/p>\n<p>c)\u00a06 cm<\/p>\n<p>d)\u00a08 cm<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/www.youtube.com\/channel\/UCVFahh7Fd1b4sPUpq2mtxpg?sub_confirmation=1\" target=\"_blank\" class=\"btn btn-warning \">FREE SSC EXAM YOUTUBE VIDEOS<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/ssc-study-material\" target=\"_blank\" class=\"btn btn-alone \">18000+ Questions &#8211; Free SSC Study Material<\/a><\/p>\n<p><a href=\"https:\/\/cracku.in\/pay\/5nPc0\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-25661 size-full\" src=\"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests.png\" alt=\"SSC CGL Mock Test\" width=\"728\" height=\"90\" srcset=\"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests.png 728w, https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests-300x37.png 300w, https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests-30x4.png 30w, https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests-696x86.png 696w\" sizes=\"auto, (max-width: 728px) 100vw, 728px\" \/><\/a><\/p>\n<p><b>Question 11:\u00a0<\/b>A triangle has sides 5 cm, 12 cm and 13 cm. What is the approximate area of the circumcircle of this triangle?<\/p>\n<p>a)\u00a0120 $cm^2$<\/p>\n<p>b)\u00a0128 $cm^2$<\/p>\n<p>c)\u00a0132 $cm^2$<\/p>\n<p>d)\u00a0136 $cm^2$<\/p>\n<p><b>Question 12:\u00a0<\/b>If the perpendicular distance between the centre of a circle and a chord of length 8m is 3m, what is the radius of the circle?<\/p>\n<p>a)\u00a07m<\/p>\n<p>b)\u00a04m<\/p>\n<p>c)\u00a05m<\/p>\n<p>d)\u00a03m<\/p>\n<p><b>Question 13:\u00a0<\/b>What is the area of the sector subtending 36\u00b0 at the centre of a circle with a radius of 7cm ?<\/p>\n<p>a)\u00a016.8 sq.cm<\/p>\n<p>b)\u00a015.4 sq.cm<\/p>\n<p>c)\u00a017.2 sq.cm<\/p>\n<p>d)\u00a018.6 sq.cm<\/p>\n<p><b>Question 14:\u00a0<\/b>A certain length of a wire was bent to form the shape of a square, the area of the. square thus formed is 81 sq-cm. Now, the wire is rebent into a semicircular shape, calculate the area of the semicircle formed ( in sq-cm )<\/p>\n<p>a)\u00a088 sq-cm<\/p>\n<p>b)\u00a022 sq-cm<\/p>\n<p>c)\u00a0154 sq-cm<\/p>\n<p>d)\u00a077 sq-cm<\/p>\n<p><b>Question 15:\u00a0<\/b>A straight copper wire has been bent to form an equilateral triangle of area $121\\sqrt{3}\\text{ cm}$ . Find the Area, if the wire is bent in the form of a circle<\/p>\n<p>a)\u00a0330.5 sq-cm<\/p>\n<p>b)\u00a0350.5 sq-cm<\/p>\n<p>c)\u00a0346.5 sq-cm<\/p>\n<p>d)\u00a0364.5 sq-cm<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/ssc-cgl-online-mock-tests\" target=\"_blank\" class=\"btn btn-primary \">SSC CGL Free Mock Test<\/a><\/p>\n<p><b>Question 16:\u00a0<\/b>There are two concentric circle with radii 5 cm and 13 cm. What is the length of the chord of the outer circle which touches the inner circle?<\/p>\n<p>a)\u00a012 cm<\/p>\n<p>b)\u00a018 cm<\/p>\n<p>c)\u00a024 cm<\/p>\n<p>d)\u00a030 cm<\/p>\n<p><b>Question 17:\u00a0<\/b>The area of a circle is 50 $cm^2$. What is the approximate perimeter of the circle?<\/p>\n<p>a)\u00a020 cm<\/p>\n<p>b)\u00a025 cm<\/p>\n<p>c)\u00a030 cm<\/p>\n<p>d)\u00a035 cm<\/p>\n<p><b>Question 18:\u00a0<\/b>A thread of length 1256 cm is used to form a circle. What will be the diameter of the circle formed?<\/p>\n<p>a)\u00a0200 cm<\/p>\n<p>b)\u00a0500 cm<\/p>\n<p>c)\u00a0300 cm<\/p>\n<p>d)\u00a0400 cm<\/p>\n<p><b>Question 19:\u00a0<\/b>Two circles externally touch each other. The sum of their areas is $520\\pi$ sq-cm and the distance between their center is $28$ cm. The radius of the smaller circle is<\/p>\n<p>a)\u00a0$4$cm<\/p>\n<p>b)\u00a0$8$cm<\/p>\n<p>c)\u00a0$10$cm<\/p>\n<p>d)\u00a0$6$cm<\/p>\n<p><b>Question 20:\u00a0<\/b>A circle is circumscribed around an equilateral triangle of side 3 cm. What is the area of the circle (in $cm^2$)?<\/p>\n<p>a)\u00a0$\\sqrt3 \\pi$<\/p>\n<p>b)\u00a0$3 \\pi$<\/p>\n<p>c)\u00a0$3\\sqrt3 \\pi$<\/p>\n<p>d)\u00a0$9\\pi$<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/free-gk-tests\" target=\"_blank\" class=\"btn btn-primary \">100+ Free GK Tests for SSC Exams<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/blog\/general-knowledge-questions-and-answers-for-competitive-exams-pdf\/\" target=\"_blank\" class=\"btn btn-danger \">Download Free GK PDF<\/a><\/p>\n<p><b>Question 21:\u00a0<\/b>If the length of the side of a square is equal to the diameter of a circle, what is the ratio of area of square to that of the circle?<\/p>\n<p>a)\u00a0$2:\\pi$<\/p>\n<p>b)\u00a0$\\pi : 4$<\/p>\n<p>c)\u00a0$4:\\pi$<\/p>\n<p>d)\u00a0$1:\\pi$<\/p>\n<p><b>Question 22:\u00a0<\/b>The distance between the centres of the two circles of radii r1, and r2 is d. They will touch each other internally if<\/p>\n<p>a)\u00a0$d = r_1$ or $r_2$<\/p>\n<p>b)\u00a0$d = r_1 + r_2$<\/p>\n<p>c)\u00a0$d = r_1 &#8211; r_2$<\/p>\n<p>d)\u00a0$d = \\sqrt{ r_1 r_2}$<\/p>\n<p><b>Question 23:\u00a0<\/b>\u0394ABC is a right angled triangle with AB = 6 cm, AC = 8 cm, \u2220BAC = 90\u2032. Then the radius of the incircle is<\/p>\n<p>a)\u00a04 cm.<\/p>\n<p>b)\u00a02 cm.<\/p>\n<p>c)\u00a06 cm.<\/p>\n<p>d)\u00a03 cm.<\/p>\n<p><b>Question 24:\u00a0<\/b>O is the circumcentre of the triangle ABC and \u2220BAC = 85\u00b0, \u2220BCA = 75\u00b0, then the value of \u2220OAC is<\/p>\n<p>a)\u00a055\u00b0<\/p>\n<p>b)\u00a0150\u00b0<\/p>\n<p>c)\u00a020\u00b0<\/p>\n<p>d)\u00a070\u00b0<\/p>\n<p><b>Question 25:\u00a0<\/b>Two chords of length a unit and b unit of a circle make angles 60\u00b0 and 90\u00b0 at the centre of a circle respectively, then the correct relation is<\/p>\n<p>a)\u00a0b = 3\/2a<\/p>\n<p>b)\u00a0b = \u221a2a<\/p>\n<p>c)\u00a0b = 2a<\/p>\n<p>d)\u00a0b = \u221a3a<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/ssc-questions\" target=\"_blank\" class=\"btn btn-primary \">1500+ Free SSC Questions &amp; Answers<\/a><\/p>\n<p><a href=\"https:\/\/cracku.in\/pay\/5nPc0\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-25661 size-full\" src=\"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests.png\" alt=\"SSC CGL Mock Test\" width=\"728\" height=\"90\" srcset=\"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests.png 728w, https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests-300x37.png 300w, https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests-30x4.png 30w, https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests-696x86.png 696w\" sizes=\"auto, (max-width: 728px) 100vw, 728px\" \/><\/a><\/p>\n<p><span style=\"text-decoration: underline;\"><strong>Answers &amp; Solutions:<\/strong><\/span><\/p>\n<p><strong>1)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>Area of square is $121 = (l)^2$ (where $l$ is length of side)<br \/>\nSo length will be = 11<br \/>\nTotal length of wire will be = 44<br \/>\nSo when it forms a circle, perimeter will be equal to 44<br \/>\nHence $2\\pi r$ = 44<br \/>\nor $r$ = 7<\/p>\n<p><strong>2)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/blob_kLiaA2u\" data-image=\"blob\" \/><\/figure>\n<p>It is given that AC = BC, also $\\triangle$ PTB and $\\triangle$ PAC are similar, we have :<br \/>\n$\\frac{CA}{CP}=\\frac{BT}{BP}$ &#8212;&#8212;&#8212;&#8212;&#8212;-(i)<br \/>\nAlso, we have $\\angle$ PBC = $\\angle$ BTC ($\\because$ $\\angle$ PBC = $\\angle$ BAC = $\\angle$ BTC) and $\\angle$ PCB = $\\angle$ BCT<br \/>\n=&gt; $\\triangle$ PBC $\\sim$ $\\triangle$ BTC<br \/>\nThus, $\\frac{CB}{BP}=\\frac{CT}{BT}$<br \/>\n=&gt; $\\frac{BT}{BP}=\\frac{CT}{CB}$ &#8212;&#8212;&#8212;&#8212;&#8211;(ii)<br \/>\nFrom equations (i) and (ii), we get :<br \/>\n$\\frac{CA}{CP}=\\frac{CT}{CB}$<br \/>\n=&gt; Ans &#8211; (C)<\/p>\n<p><strong>3)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>As we know that a cyclic quadrilateral can be inscribed into a circle, Hence in triangle APB and in triangle CPD.<br \/>\n$\\angle PAB = \\angle PDC$ (same sector angles)<br \/>\n$\\angle PCD = \\angle PBA$ (same sector angles)<br \/>\nHence third angle will also be equal and they will be similar triangles.<br \/>\nSo $\\frac{AP}{PD} = \\frac{BP}{PC}$<\/p>\n<p><strong>4)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>Angle ABD will be equal to angle ACD = $20^o$ (same sector angles)<br \/>\nAngle BEC = $130^o$ so angle AED = $130^o$ (concurrent angles)<br \/>\nNow angle BEA will be $\\frac{360-130-130}{2} = 50^o$<br \/>\nSo angle EDC will be $180-(50+20) = 110^o$<\/p>\n<p><strong>5)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>let angle CDA = x<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/blob_8soMoqR\" alt=\"\" \/><\/figure>\n<p>since AB is parallel to CD, angle ACD=30 and angle CAD=30<br \/>\nin triangle ACD,<br \/>\nsum of all three angles = 180<br \/>\n30 + 30 + x = 180<br \/>\nx = 120<br \/>\nso the answer is option B.<\/p>\n<p><strong>6)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/blob_2a1Us3j\" data-image=\"blob\" \/><\/figure>\n<p>It is given that OD = BC and OD = OB (radii of circle)<br \/>\n=&gt; OB = BC<br \/>\n=&gt; $\\angle$ BCO = $\\angle$ BOC = $20^\\circ$ (Angle opposite to equal sides are equal)<br \/>\nThen, $\\angle$ OBC = $180^\\circ-(\\angle BCO +\\angle BOC)$<br \/>\n=&gt; $\\angle$ OBC = $180^\\circ-20^\\circ-20^\\circ=140^\\circ$<br \/>\nAlso, $\\angle$ OBA + $\\angle$ OBC = $180^\\circ$ (Linear pair)<br \/>\n=&gt; $\\angle$ OBA = $\\angle$ OAB = $180^\\circ-140^\\circ=40^\\circ$<br \/>\nNow, $\\angle$ AOB = $180^\\circ-(\\angle OAB +\\angle OBA)$<br \/>\n=&gt; $\\angle$ AOB = $180^\\circ-40^\\circ-40^\\circ=100^\\circ$<br \/>\n$\\therefore$ $\\angle$ AOD = $180^\\circ-(\\angle AOB +\\angle BOC)$ (Linear pair)<br \/>\n= $180^\\circ-100^\\circ-20^\\circ=60^\\circ$<br \/>\n=&gt; Ans &#8211; (D)<\/p>\n<p><strong>7)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/blob_gXNo9Uc\" data-image=\"blob\" \/><\/figure>\n<p>Radius of the circle = 1 unit, =&gt; Diameter = BD = 2 units<br \/>\nThus, side of square = AB = $\\sqrt2$ units<br \/>\nRadius of a semi-circle = $\\frac{AB}{2}=\\frac{\\sqrt2}{2}=\\frac{1}{\\sqrt2}$<br \/>\n=&gt; Area of 4 semi-circles = $2\\pi r^2$<br \/>\n= $2\\pi (\\frac{1}{\\sqrt2})^2=\\pi$ sq. units &#8212;&#8212;&#8212;&#8212;(i)<br \/>\nArea bounded by region = Area of circle &#8211; Area of square<br \/>\n= $\\pi(1)^2-(\\sqrt2)^2=(\\pi-2)$ sq. units &#8212;&#8212;&#8212;&#8212;&#8212;(ii)<br \/>\n$\\therefore$ Required area bounded by 4 semi circles = (i) &#8211; (ii)<br \/>\n= $\\pi &#8211; (\\pi-2) = 2$ sq. units<br \/>\n=&gt; Ans &#8211; (B)<\/p>\n<p><strong>8)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/circ_FofgMnl.png\" \/><br \/>\nThe biggest chord lying outside the inner circle must be tangential to it.<br \/>\nBy pytagoras theorem,<br \/>\n$x = \\sqrt{3^2 &#8211; 1^2} = \\sqrt{9-1} = \\sqrt{8} = 2 \\sqrt{2}$<br \/>\nThe length of the chord is 2x = $4 \\sqrt{2}$<br \/>\nHence Option D is the correct answer.<\/p>\n<p><strong>9)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>Length of the arc = (angle subtended by the arc\/360)*circumference of the circle = $\\frac{48}{360}*2* \\pi * 7$ = 5.867 cm.<\/p>\n<p><strong>10)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>The information given in the question can be represented as below<br \/>\n1\/2(length of the chord) = $\\sqrt(5^2 &#8211; 4^2)$<br \/>\n==&gt; Length of the chord = 2*3 = 6cm<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/ssc-practice-set\" target=\"_blank\" class=\"btn btn-info \">Free SSC Daily Practice Set<\/a><\/p>\n<p><strong>11)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>The given triangle is a right angled triangle.<br \/>\nThe length of the hypotenuse is 13 cm.<br \/>\nIn a right angled triangle the length of the circumradius is half the length of the hypotenuse.<br \/>\nSo, circumradius = 13\/2 = 6.5 cm<br \/>\nArea of the circumcircle = $3.14*(6.5)^2=132.665$ $cm^2$<\/p>\n<p><strong>12)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>Here, the radius of the circle is the hypotenuse of the triangle with 4m,3m as its base and height.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/07032017SSC%20geo2.PNG\" width=\"201\" height=\"131\" \/><\/p>\n<p>Radius = $\\sqrt{4^{2}+3^{2}}$<br \/>\nRadius =$5 m$<\/p>\n<p><strong>13)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>Area of sector of a circle = $\\frac{x}{360}*\\pi *r^{2}$<br \/>\nWhere x is the angle subtended at the centre and r is the radius of the circle<br \/>\nArea =$\\frac{36}{360}*\\pi *7^{2}$ = 15.4 sq.cm<\/p>\n<p><strong>14)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>Area of the square form is 81 sq-cm . Hence , the side of the square would be 9 cm .<br \/>\nLength of the wire is (9 x 4) cm = 36 cm . Let $r$ be the radius of the semicircle thus formed .<br \/>\nWhen the wire is bent into semicircular shape , $\\pi r + 2r = 36$<br \/>\n$\\implies r = \\frac{36}{\\frac{22}{7}+2} = \\frac{36}{\\frac{36}{7}} = 7$ cm<br \/>\nTherefore , Area of the semicircle = $\\frac{\\frac{22}{7}\\times7\\times7}{2}$ = $77$ sq-cm<br \/>\nHence , the correct Option is D<\/p>\n<p><strong>15)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>Area of the triangle , $A$ = $\\frac{\\sqrt{3}}{4}a^2$ = $121\\sqrt{3}$<br \/>\n$\\implies a = 22\\text{ cm}$<br \/>\nLength of wire, $L$ = $(3\\times a)\\text{ cm}$ = $66\\text{ cm}$<br \/>\nLet radius of the circle be $r$<br \/>\nBy using the relation,<br \/>\n$2\\pi r = 66$<br \/>\n$\\implies r = \\frac{66\\times 7}{2\\times 22} = 10.5 \\text{ cm}$<br \/>\n$\\implies \\text{ Area} = \\pi \\times 10.5^2 = 346.5 \\text{ cm}^2$<br \/>\nHence , the correct Option is C<\/p>\n<p><strong>16)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>Let AB be the chord described as shown in the figure.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/1_ISg8GYL.png\" width=\"265\" height=\"256\" \/><\/p>\n<p>OA is the radius of the bigger circle and OC is the radius of the smaller circle.<br \/>\nWe can observe that the triangle OAC is a right triangle.<br \/>\nApplying Pythagoras theorem we get,<br \/>\n$AC^2=13^2-5^2$<br \/>\n$=&gt;AC=12$ cm<br \/>\nThe length of the chord is twice the length of AC. So we get,<br \/>\nAB = 2*AC = 2*12 = 24 cm<\/p>\n<p><strong>17)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>Let the radius of the circle be \u2018r\u2019<br \/>\nIt is given that $\\pi r^2=50$<br \/>\n$=&gt;r^2=\\frac{50}{3.14}$<br \/>\n$=&gt;r^2\\approx 16$<br \/>\n$r\\approx 4$ cm<br \/>\nThe perimeter will be<br \/>\n$=2*\\pi*r$<br \/>\n$=2*3.14*4$<br \/>\n$\\approx 25$ cm<\/p>\n<p><strong>18)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>Let the radius of the circle formed be \u2018r\u2019<br \/>\nThe length of the thread will be the circumference of the circle.<br \/>\nSo we get,<br \/>\n$2\\pi r=1256$<br \/>\n$=&gt;2*3.14*r=1256$<br \/>\n$r=200$ cm<br \/>\nThus the diameter will be 400 cm.<\/p>\n<p><strong>19)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>Let the radius of the circles touching each other be $a$ cm and $b$ cm .<br \/>\nThen , $a$ + $b$ = $28$<br \/>\n$\\implies b$ = $28 &#8211; a$<br \/>\n$\\implies \\pi a^2+ \\pi b^2$ = $520\\pi$<br \/>\n$\\implies a^2+(28-a)^2$ = $520$<br \/>\n$\\implies 2a^2 &#8211; 56a + 784 = 520$<br \/>\n$\\implies 2a^2 &#8211; 56a + 264 = 0$<br \/>\n$\\implies 2( a &#8211; 6 )( a &#8211; 22 ) = 0$<br \/>\nThe radius of the circles can be $22$cm or $6$ cm<br \/>\nTherefore , the radius of the smaller circle is $6$ cm<br \/>\nHence, correct option is D<\/p>\n<p><strong>20)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>The circle is the circumcircle of the equilateral triangle.<br \/>\nCircumradius = $\\frac{2}{3}*\\frac{\\sqrt3}{2}*3=\\sqrt3$ cm<br \/>\nArea of the circle = $\\pi*(\\sqrt3)^2=3 \\pi$ $cm^2$<br \/>\nHence Option B.<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/ssc-chsl-mock-tests\" target=\"_blank\" class=\"btn btn-primary blue\">SSC CHSL Free Mock Test<\/a><\/p>\n<p><strong>21)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>Let the length of the side be \u2018l\u2019<br \/>\nArea of square = $l^{2}$<br \/>\nArea of the circle = $\\pi\\times\\frac{l^{2}}{4}$<br \/>\nRequired ratio = $l^{2}$:$\\pi\\times\\frac{l^{2}}{4}$<br \/>\nRequired ratio =$4:\\pi$<\/p>\n<p><strong>22)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>The distance between centres of two circles = d<br \/>\nRadius of both circles = $r_1$ and $r_2$<br \/>\nFor the circles to touch each other internally,<\/p>\n<p><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/1498.PNG\" \/><\/p>\n<p>Here, AC = $r_1$ and BC = $r_2$<br \/>\nDistance between their centres = AB = d<br \/>\nNow, clearly AB = AC &#8211; BC<br \/>\n=&gt; d = $r_1-r_2$<\/p>\n<p><strong>23)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>NOTE :- Area of triangle = (semi perimeter) * (inradius)<\/p>\n<p><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/1501.PNG\" \/><\/p>\n<p>AB = 6 cm , AC = 8 cm and $\\angle$BAC = 90\u00b0<br \/>\nFrom $\\triangle$ABC,<br \/>\nBC = $\\sqrt{(AB)^2+(AC^2)}$<br \/>\n= $\\sqrt{6^2+8^2} = \\sqrt{36+64}$<br \/>\n= 10 cm<br \/>\nSemi perimeter of $\\triangle$ABC<span class=\"redactor-invisible-space\"> = s<br \/>\n<\/span><span class=\"redactor-invisible-space\">= $\\frac{6+8+10}{2}$ = 12 cm<br \/>\n<\/span><span class=\"redactor-invisible-space\">Area of $\\triangle$ABC<span class=\"redactor-invisible-space\"> = $\\frac{1}{2}$*AB*AC<br \/>\n<\/span><\/span><span class=\"redactor-invisible-space\"><span class=\"redactor-invisible-space\">= $\\frac{1}{2}$*6*8 = 24 $cm^2$<br \/>\n<\/span><\/span><span class=\"redactor-invisible-space\"><span class=\"redactor-invisible-space\">=&gt; Inradius = $\\frac{\\triangle}{s}$ = $\\frac{24}{12}$<br \/>\n<\/span><\/span><span class=\"redactor-invisible-space\"><span class=\"redactor-invisible-space\">= 2 cm<\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><strong>24)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/1508.PNG\" \/><\/p>\n<p>$\\angle$BAC = 85\u00b0<br \/>\n$\\angle$BCA = 75\u00b0<br \/>\n=&gt; $\\angle$ABC = 180\u00b0-(85\u00b0+75\u00b0) = 20\u00b0<br \/>\nAngle subtended by an arc at the centre is twice the angle subtended by it at any point on the circle.<br \/>\n=&gt; $\\angle$AOC = 2$\\angle$ABC<br \/>\n=&gt; $\\angle$AOC = 40\u00b0<br \/>\nIn $\\triangle$OAC, OA = OC = radii<br \/>\n=&gt; $\\angle$OAC = $\\angle$OCA<br \/>\n=&gt; 2$\\angle$OAC = 180\u00b0-40\u00b0 = 140\u00b0<br \/>\n=&gt; $\\angle$OAC = $\\frac{140^{\\circ}}{2}$ = 70\u00b0<\/p>\n<p><strong>25)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/1527.PNG\" \/><\/p>\n<p>Length of chord CD = $a$ and AB = $b$<br \/>\nLet radius of the circle be $r$<br \/>\nIn $\\triangle$OAB, by using Pythagoras theorem<br \/>\n=&gt; $r^2 + r^2 = b^2$<br \/>\n=&gt; $2r^2 = b^2$<br \/>\n=&gt; $r = \\frac{b}{\\sqrt{2}}$ &#8212;&#8212;Eqn(1)<br \/>\nNow, in $\\triangle$COD, OC = OD = radii<br \/>\n=&gt; $\\angle$OCD = $\\angle$ODC = $\\angle$<span class=\"redactor-invisible-space\">COD = 60\u00b0<br \/>\n<\/span><span class=\"redactor-invisible-space\">=&gt; OCD is equilateral triangle<br \/>\n<\/span><span class=\"redactor-invisible-space\">=&gt; $a = r$ &#8212;&#8212;&#8212;Eqn(2)<br \/>\n<\/span><span class=\"redactor-invisible-space\">From eqns(1) &amp; (2), we get :<br \/>\n<\/span><span class=\"redactor-invisible-space\">$a = \\frac{b}{\\sqrt{2}}$<br \/>\n<\/span><span class=\"redactor-invisible-space\">=&gt; $b = \\sqrt{2}a$<\/span><\/p>\n<p><a href=\"https:\/\/cracku.in\/pay\/5nPc0\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-25661 size-full\" src=\"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests.png\" alt=\"SSC CGL Mock Test\" width=\"728\" height=\"90\" srcset=\"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests.png 728w, https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests-300x37.png 300w, https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests-30x4.png 30w, https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/25-SSC-CGL-Mock-Tests-696x86.png 696w\" sizes=\"auto, (max-width: 728px) 100vw, 728px\" \/><\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.cracku.app&amp;hl=en_IN\" target=\"_blank\" class=\"btn btn-danger \">SSC Free Previous Papers App<\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>SSC CGL Circle Questions PDF: Download SSC CGL Circle questions with answers PDF based on previous papers very useful for SSC CGL exams. 25 Very important Circle objective questions for SSC exams. Question 1:\u00a0A copper wire is bent in the form of square with an area of 121 cm 2. If the same wire is [&hellip;]<\/p>\n","protected":false},"author":21,"featured_media":25934,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[169,125,504],"tags":[1519],"class_list":{"0":"post-25932","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-downloads","8":"category-featured","9":"category-ssc-cgl","10":"tag-ssc-cgl-2019"},"better_featured_image":{"id":25934,"alt_text":"SSC CGL Circle Questions PDF","caption":"SSC CGL Circle Questions PDF","description":"SSC CGL Circle Questions PDF","media_type":"image","media_details":{"width":900,"height":472,"file":"2019\/03\/fig-11-03-2019_13-17-05.jpg","sizes":{"thumbnail":{"file":"fig-11-03-2019_13-17-05-150x150.jpg","width":150,"height":150,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/fig-11-03-2019_13-17-05-150x150.jpg"},"medium":{"file":"fig-11-03-2019_13-17-05-300x157.jpg","width":300,"height":157,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/fig-11-03-2019_13-17-05-300x157.jpg"},"medium_large":{"file":"fig-11-03-2019_13-17-05-768x403.jpg","width":768,"height":403,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/fig-11-03-2019_13-17-05-768x403.jpg"},"tiny-lazy":{"file":"fig-11-03-2019_13-17-05-30x16.jpg","width":30,"height":16,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/fig-11-03-2019_13-17-05-30x16.jpg"},"td_80x60":{"file":"fig-11-03-2019_13-17-05-80x60.jpg","width":80,"height":60,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/fig-11-03-2019_13-17-05-80x60.jpg"},"td_100x70":{"file":"fig-11-03-2019_13-17-05-100x70.jpg","width":100,"height":70,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/fig-11-03-2019_13-17-05-100x70.jpg"},"td_218x150":{"file":"fig-11-03-2019_13-17-05-218x150.jpg","width":218,"height":150,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/fig-11-03-2019_13-17-05-218x150.jpg"},"td_265x198":{"file":"fig-11-03-2019_13-17-05-265x198.jpg","width":265,"height":198,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/fig-11-03-2019_13-17-05-265x198.jpg"},"td_324x160":{"file":"fig-11-03-2019_13-17-05-324x160.jpg","width":324,"height":160,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/fig-11-03-2019_13-17-05-324x160.jpg"},"td_324x235":{"file":"fig-11-03-2019_13-17-05-324x235.jpg","width":324,"height":235,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/fig-11-03-2019_13-17-05-324x235.jpg"},"td_324x400":{"file":"fig-11-03-2019_13-17-05-324x400.jpg","width":324,"height":400,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/fig-11-03-2019_13-17-05-324x400.jpg"},"td_356x220":{"file":"fig-11-03-2019_13-17-05-356x220.jpg","width":356,"height":220,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/fig-11-03-2019_13-17-05-356x220.jpg"},"td_356x364":{"file":"fig-11-03-2019_13-17-05-356x364.jpg","width":356,"height":364,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/fig-11-03-2019_13-17-05-356x364.jpg"},"td_533x261":{"file":"fig-11-03-2019_13-17-05-533x261.jpg","width":533,"height":261,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/fig-11-03-2019_13-17-05-533x261.jpg"},"td_534x462":{"file":"fig-11-03-2019_13-17-05-534x462.jpg","width":534,"height":462,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/fig-11-03-2019_13-17-05-534x462.jpg"},"td_696x0":{"file":"fig-11-03-2019_13-17-05-696x365.jpg","width":696,"height":365,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/fig-11-03-2019_13-17-05-696x365.jpg"},"td_696x385":{"file":"fig-11-03-2019_13-17-05-696x385.jpg","width":696,"height":385,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/fig-11-03-2019_13-17-05-696x385.jpg"},"td_741x486":{"file":"fig-11-03-2019_13-17-05-741x472.jpg","width":741,"height":472,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/fig-11-03-2019_13-17-05-741x472.jpg"},"td_0x420":{"file":"fig-11-03-2019_13-17-05-801x420.jpg","width":801,"height":420,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/fig-11-03-2019_13-17-05-801x420.jpg"}},"image_meta":{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}},"post":null,"source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/03\/fig-11-03-2019_13-17-05.jpg"},"yoast_head":"<!-- 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Question 1:\u00a0A copper wire is bent in the form of square with an area of 121 cm 2. 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