{"id":238,"date":"2024-04-26T06:07:08","date_gmt":"2024-04-26T06:07:08","guid":{"rendered":"https:\/\/basiceducation.pk\/edu\/?p=238"},"modified":"2024-08-18T09:09:06","modified_gmt":"2024-08-18T09:09:06","slug":"mcj-sample-paper-mathematics-mcqs-for-1st-year-entry-test","status":"publish","type":"post","link":"https:\/\/basiceducation.pk\/edu\/mcj-sample-paper-mathematics-mcqs-for-1st-year-entry-test\/","title":{"rendered":"MCJ Sample Paper Mathematics MCQs for 1st Year Entry Test"},"content":{"rendered":"\n<p>Military College Jhelum <strong><a href=\"https:\/\/basiceducation.pk\/edu\/sample-mcqs-paper-pattern-for-8th-class-entry-test-mcj\/\">Sample Paper<\/a> Maths <a href=\"https:\/\/basiceducation.pk\/edu\/sample-mcqs-chemistry-multiple-choice-questions-of-chemistry\/\">MCQs<\/a><\/strong> (Multiple Choice Questions) for entry test 1st Year:<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>1. In a circle, if a chord and a tangent intersect externally, then the angle between them is:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; a) Equal to the angle subtended by the chord in the alternate segment&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; b) Equal to the angle subtended by the chord in the same segment&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; c) Equal to 90\u00b0&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; d) None of the above&nbsp;<\/p>\n\n\n\n<p>2. The angle subtended by a major arc at any point on the circumference is:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; a) Less than 90\u00b0&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; b) Equal to 90\u00b0&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; c) More than 90\u00b0&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; d) None of the above&nbsp;<\/p>\n\n\n\n<p>3. What is the measure of an angle at the center of a circle if the corresponding arc measures 90 degrees?<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; a) 90\u00b0&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; b) 45\u00b0&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; c) 180\u00b0&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; d) 360\u00b0&nbsp;<\/p>\n\n\n\n<p>4. In a circle, if two chords are equal, then:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; a) Their corresponding arcs are equal&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; b) Their corresponding arcs are unequal&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; c) Their corresponding arcs subtend equal angles at the center&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; d) Their corresponding arcs subtend unequal angles at the center&nbsp;<\/p>\n\n\n\n<p>5. What is the measure of an angle at the center of a circle if the corresponding arc measures 180 degrees?<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; a) 90\u00b0&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; b) 180\u00b0&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; c) 360\u00b0&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; d) 45\u00b0&nbsp;<\/p>\n\n\n\n<p>6. If the angle subtended by an arc at the center of a circle is 120\u00b0, then the angle subtended by the same arc at any point on the remaining part of the circle is:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; a) 30\u00b0&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; b) 60\u00b0&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; c) 120\u00b0&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; d) 240\u00b0&nbsp;<\/p>\n\n\n\n<p>7. In a triangle ABC, if \\(AB = 6\\), \\(AC = 8\\), and \\(BC = 10\\), then the length of the projection of side AB on BC is:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; a) 3&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; b) 4&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; c) 5&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; d) 6&nbsp;<\/p>\n\n\n\n<p>8. The longest chord of a circle is its:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; a) Diameter&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; b) Radius&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; c) Tangent&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; d) Secant&nbsp;<\/p>\n\n\n\n<p>9. In a circle, the length of the tangent segment drawn from an external point is minimum when the point lies:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; a) Inside the circle&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; b) Outside the circle&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; c) On the circle&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; d) None of the above&nbsp;<\/p>\n\n\n\n<p>10. In a circle, if two chords are equal in length, then:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; a) Their corresponding arcs are equal&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; b) Their corresponding arcs are unequal&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; c) Their corresponding arcs subtend equal angles at the center&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; d) Their corresponding arcs subtend unequal angles at the center&nbsp;<\/p>\n\n\n\n<p>11. The angle subtended by a minor arc at the center of a circle is:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; a) Less than 180\u00b0&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; b) Equal to 180\u00b0&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; c) More than 180\u00b0&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; d) None of the above&nbsp;<\/p>\n\n\n\n<p>12. The diagonals of a rectangle are:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) Congruent<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) Perpendicular<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) Equal<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) None of the above<\/p>\n\n\n\n<p>13. The midpoint of a line segment with endpoints (2, 5) and (6, -3) is:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) (4, 1)<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) (4, -1)<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) (8, 2)<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) (8, -2)<\/p>\n\n\n\n<p>14. The value of log\u2081\u2080 1000 is:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) 1<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) 2<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) 3<\/p>\n\n\n\n<p>&nbsp;&nbsp; &nbsp;D) 4<\/p>\n\n\n\n<p>15. If two angles of a triangle are 30\u00b0 and 60\u00b0, the third angle is:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) 30\u00b0<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) 60\u00b0<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) 90\u00b0<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) 120\u00b0<\/p>\n\n\n\n<p>16. The area of a parallelogram with base 8 units and height 5 units is:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) 13 square units<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) 20 square units<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) 40 square units<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) 48 square units<\/p>\n\n\n\n<p>17. In a parallelogram, the opposite angles are:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) Supplementary<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) Congruent<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) Complementary<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) None of the above<\/p>\n\n\n\n<p>18. If the sides of a triangle are in the ratio 3:4:5 and the perimeter is 24 units, what is the length of the smallest side?<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) 3 units<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) 4 units<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) 5 units<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) 6 units<\/p>\n\n\n\n<p>19. The midpoint of a line segment with endpoints (-2, 3) and (4, -1) is:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) (1, 1)<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) (1, -1)<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) (-1, 1)<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) (-1, -1)<\/p>\n\n\n\n<p>20. Which of the following is a prime number?<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; A) 1<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; B) 2<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; C) 4<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp; D) 6<\/p>\n\n\n\n<p>21. The expansion of (a + b)\u00b3 is:<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp; A) a\u00b3 + 3ab + b\u00b3<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp; B) a\u00b3 + 3a\u00b2b + 3ab\u00b2 + b\u00b3<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp; C) a\u00b3 + b\u00b3<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp; D) a\u00b2 + 2ab + b\u00b2<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>You can prepare science subject <a href=\"https:\/\/basiceducation.pk\/edu\/sample-mcqs-of-physics-for-mcj-entry-test-class-xi-lateral-entry\/\">Sample MCQs<\/a> (Multiple Choice Questions):<\/p>\n\n\n\n<p><a href=\"https:\/\/basiceducation.pk\/edu\/sample-multiple-choice-questions-english-sample-mcqs-english\/\"><strong>Sample MCQs English<\/strong><\/a><\/p>\n\n\n\n<p><strong><a href=\"https:\/\/basiceducation.pk\/edu\/mcj-sample-paper-mathematics-mcqs-for-1st-year-entry-test\/\">Sample MCQs Mathematics<\/a><\/strong><\/p>\n\n\n\n<p><strong><a href=\"https:\/\/basiceducation.pk\/edu\/sample-mcqs-chemistry-multiple-choice-questions-of-chemistry\/\">Sample MCQs Chemistry<\/a><\/strong><\/p>\n\n\n\n<p><strong><a href=\"https:\/\/basiceducation.pk\/edu\/sample-mcqs-of-physics-for-mcj-entry-test-class-xi-lateral-entry\/\">Sample MCQs Physics<\/a><\/strong><\/p>\n<div id=\"basic-2513727184\" class=\"basic-after-content-2 basic-entity-placement\"><script>\r\n  atOptions = {\r\n    'key' : '9b5933993077677c512842f20856cab6',\r\n    'format' : 'iframe',\r\n    'height' : 60,\r\n    'width' : 468,\r\n    'params' : {}\r\n  };\r\n<\/script>\r\n<script src=\"https:\/\/www.highperformanceformat.com\/9b5933993077677c512842f20856cab6\/invoke.js\"><\/script>\r\n<\/div><div id=\"basic-2330124995\" class=\"basic-after-content-3 basic-entity-placement\"><script>\r\n  atOptions = {\r\n    'key' : '9b5933993077677c512842f20856cab6',\r\n    'format' : 'iframe',\r\n    'height' : 60,\r\n    'width' : 468,\r\n    'params' : {}\r\n  };\r\n<\/script>\r\n<script src=\"https:\/\/www.highperformanceformat.com\/9b5933993077677c512842f20856cab6\/invoke.js\"><\/script>\r\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Military College Jhelum Sample Paper Maths MCQs (Multiple Choice Questions) for entry test 1st Year: 1. In a circle, if a chord and a tangent <a href=\"https:\/\/basiceducation.pk\/edu\/mcj-sample-paper-mathematics-mcqs-for-1st-year-entry-test\/\" class=\"read-more\">Read More &#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"two_page_speed":[],"footnotes":""},"categories":[47,48,49,172],"tags":[71,28,5,70],"class_list":["post-238","post","type-post","status-publish","format-standard","hentry","category-military-college-jhelum","category-military-college-murree","category-military-college-sui","category-past-papers","tag-1st-year-class","tag-entry-test","tag-mcj","tag-sample-paper-maths"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>MCJ Sample Paper Mathematics MCQs for 1st Year Entry Test - Basic Education<\/title>\n<meta name=\"description\" content=\"MCJ Sample Paper Mathematics MCQs for 1st Year Entry Test Military College Jhelum MCJ Sample Paper Mathematics Military College Jhelum Sample Paper Maths MCQs (Multiple Choice Questions)\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/basiceducation.pk\/edu\/mcj-sample-paper-mathematics-mcqs-for-1st-year-entry-test\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"MCJ Sample Paper Mathematics MCQs for 1st Year Entry Test - 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