{"id":40665,"date":"2020-02-21T12:04:43","date_gmt":"2020-02-21T06:34:43","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=40665"},"modified":"2020-02-21T12:04:46","modified_gmt":"2020-02-21T06:34:46","slug":"number-system-questions-for-ssc-chsl-set-3-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/number-system-questions-for-ssc-chsl-set-3-pdf\/","title":{"rendered":"Number System Questions for SSC CHSL set-3 pdf"},"content":{"rendered":"<h1><span style=\"text-decoration: underline;\"><strong>Number System Questions for SSC CHSL set-3 pdf<\/strong><\/span><\/h1>\n<p>Download SSC CHSL Number System Questions with answers Set-3 PDF based on previous papers very useful for SSC CHSL Exams. Top-10 Very Important Questions for SSC Exam<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/downloads\/8647\" target=\"_blank\" class=\"btn btn-danger  download\">Download Number System Questions for SSC CHSL set-3 pdf<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/ssc\/pricing\/ssc-unlimited\" target=\"_blank\" class=\"btn btn-info \">Get 200 SSC mocks for just Rs. 249. Enroll here<\/a><\/p>\n<p>Take a <a href=\"https:\/\/cracku.in\/ssc-chsl-mock-tests\" target=\"_blank\" rel=\"noopener noreferrer\">free mock test for SSC CHSL<\/a><\/p>\n<p>Download <a href=\"https:\/\/cracku.in\/ssc-chsl-question-papers\" target=\"_blank\" rel=\"noopener noreferrer\">SSC CHSL Previous Papers<\/a><\/p>\n<p>More <a href=\"https:\/\/cracku.in\/blog\/ssc-chsl-important-questions-and-answers-pdf\/\" target=\"_blank\" rel=\"noopener noreferrer\">SSC CHSL Important Questions and Answers PDF<\/a><\/p>\n<p><b>Question 1:\u00a0<\/b>Sum of four times a fraction and 6 times its reciprocal is 11. What is the fraction?<\/p>\n<p>a)\u00a03\/4<\/p>\n<p>b)\u00a04\/3<\/p>\n<p>c)\u00a04\/7<\/p>\n<p>d)\u00a07\/4<\/p>\n<p><b>Question 2:\u00a0<\/b>What is the remainder when 6729 is divided by 35?<\/p>\n<p>a)\u00a011<\/p>\n<p>b)\u00a07<\/p>\n<p>c)\u00a09<\/p>\n<p>d)\u00a013<\/p>\n<p><b>Question 3:\u00a0<\/b>A positive fraction is greater than its reciprocal by 72\/77. What is the fraction?<\/p>\n<p>a)\u00a07\/11<\/p>\n<p>b)\u00a011\/7<\/p>\n<p>c)\u00a04\/7<\/p>\n<p>d)\u00a07\/4<\/p>\n<p><b>Question 4:\u00a0<\/b>What least number must be added to 4131, so that the sum is completely divisible by 19?<\/p>\n<p>a)\u00a010<\/p>\n<p>b)\u00a011<\/p>\n<p>c)\u00a09<\/p>\n<p>d)\u00a012<\/p>\n<p><b>Question 5:\u00a0<\/b>The sum of a number and 4 times its reciprocal is 5. What is the number?<\/p>\n<p>a)\u00a04<\/p>\n<p>b)\u00a05<\/p>\n<p>c)\u00a06<\/p>\n<p>d)\u00a07<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/ssc-chsl-question-papers\" target=\"_blank\" class=\"btn btn-primary \">SSC CHSL PREVIOUS PAPERS<\/a><\/p>\n<!-- Error, Advert is not available at this time due to schedule\/geolocation restrictions! -->\n<p><a href=\"https:\/\/cracku.in\/ssc-study-material\" target=\"_blank\" rel=\"noopener noreferrer\">SSC CHSL Study Material<\/a> (FREE Tests)<\/p>\n<p><b>Question 6:\u00a0<\/b>The sum of a fraction and 7 times its reciprocal is 11\/2. What is the fraction?<\/p>\n<p>a)\u00a07\/2<\/p>\n<p>b)\u00a02\/7<\/p>\n<p>c)\u00a03\/4<\/p>\n<p>d)\u00a04\/3<\/p>\n<p><b>Question 7:\u00a0<\/b>What is the sum of all prime numbers between 60 and 80?<\/p>\n<p>a)\u00a0272<\/p>\n<p>b)\u00a0284<\/p>\n<p>c)\u00a0351<\/p>\n<p>d)\u00a0414<\/p>\n<p><b>Question 8:\u00a0<\/b>After deducting 12% from a certain sum and then deducting 25% from the remainder, 2508 is left, then what is the initial sum?<\/p>\n<p>a)\u00a03500<\/p>\n<p>b)\u00a03450<\/p>\n<p>c)\u00a03970<\/p>\n<p>d)\u00a03800<\/p>\n<p><b>Question 9:\u00a0<\/b>For what value of X, 211X will be a perfect square?<\/p>\n<p>a)\u00a04<\/p>\n<p>b)\u00a05<\/p>\n<p>c)\u00a06<\/p>\n<p>d)\u00a09<\/p>\n<p><b>Question 10:\u00a0<\/b>How many numbers are there from 300 to 700 which are divisible by 2, 3 and 7?<\/p>\n<p>a)\u00a07<\/p>\n<p>b)\u00a08<\/p>\n<p>c)\u00a09<\/p>\n<p>d)\u00a010<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/ssc-chsl-mock-tests\" target=\"_blank\" class=\"btn btn-danger \">SSC CHSL FREE MOCK TEST<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/ssc-study-material\" target=\"_blank\" class=\"btn btn-info \">FREE SSC STUDY MATERIAL<\/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>Let that fraction be $\\frac{1}{x}$<\/p>\n<p>$4 \\times \\frac{1}{x} + 6x = 11$<\/p>\n<p>$\\Rightarrow (4+6x^{2}) = 11 \\times x$<\/p>\n<p>$\\Rightarrow 6x^{2}-11x+4 = 0$<\/p>\n<p>$\\Rightarrow(x-\\frac{8}{6})(x-\\frac{3}{6})=0$<\/p>\n<p>$\\Rightarrow x = 4\/3 or 1\/2$<\/p>\n<p>$\\Rightarrow \\text{fraction} = \\frac{1}{x} = 3\/4 \\text(or) 2$<\/p>\n<p>so the answer is option A.<\/p>\n<p><strong>2)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>35*192 = 6720 is the least nearest multiple of 35.<\/p>\n<p>The remainder when 6729 is divided by 35 = 6729 &#8211; 6720 = 9<\/p>\n<p>so the answer is option C.<\/p>\n<p><strong>3)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>Let the fraction be\u00a0$x$<\/p>\n<p>According to ques,<\/p>\n<p>=&gt; $x-\\frac{1}{x}=\\frac{72}{77}$<\/p>\n<p>=&gt; $\\frac{x^2-1}{x}=\\frac{72}{77}$<\/p>\n<p>=&gt; $77x^2-77=72x$<\/p>\n<p>=&gt; $77x^2-72x-77=0$<\/p>\n<p>=&gt; $77x^2-121x+49x-77=0$<\/p>\n<p>=&gt; $11x(7x-11)+7(7x-11)=0$<\/p>\n<p>=&gt; $(7x-11)(11x+7)=0$<\/p>\n<p>=&gt; $x=\\frac{11}{7},\\frac{-7}{11}$<\/p>\n<p>$\\because x$ is positive, =&gt; $x=\\frac{11}{7}$<\/p>\n<p>=&gt; Ans &#8211; (B)<\/p>\n<p><strong>4)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>Factorizing 4131 = 19 $\\times$ 217 + 8<\/p>\n<p>Thus, on dividing 4131 by 19, the remainder is 8<\/p>\n<p>$\\therefore$ The number that\u00a0must be added to 4131 so that the sum obtained is completely divisible by 19<\/p>\n<p>= 19 &#8211; 8 = 11<\/p>\n<p>=&gt; Ans &#8211; (B)<\/p>\n<p><strong>5)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>Let the fraction be\u00a0$x$<\/p>\n<p>According to ques,<\/p>\n<p>=&gt; $x+\\frac{4}{x}=5$<\/p>\n<p>=&gt; $\\frac{x^2+4}{x}=5$<\/p>\n<p>=&gt; $x^2+4=5x$<\/p>\n<p>=&gt; $x^2-5x+4=0$<\/p>\n<p>=&gt; $x^2-x-4x+4=0$<\/p>\n<p>=&gt; $x(x-1)-4(x-1)=0$<\/p>\n<p>=&gt; $(x-1)(x-4)=0$<\/p>\n<p>=&gt; $x=1,4$<\/p>\n<p>=&gt; Ans &#8211; (A)<\/p>\n<p><strong>6)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>Let the fraction be\u00a0$x$<\/p>\n<p>According to ques,<\/p>\n<p>=&gt; $x+\\frac{7}{x}=\\frac{11}{2}$<\/p>\n<p>=&gt; $\\frac{x^2+7}{x}=\\frac{11}{2}$<\/p>\n<p>=&gt; $2x^2+14=11x$<\/p>\n<p>=&gt; $2x^2-11x+14=0$<\/p>\n<p>=&gt; $2x^2-4x-7x+14=0$<\/p>\n<p>=&gt; $2x(x-2)-7(x-2)=0$<\/p>\n<p>=&gt; $(x-2)(2x-7)=0$<\/p>\n<p>=&gt; $x=2,\\frac{7}{2}$<\/p>\n<p>=&gt; Ans &#8211; (A)<\/p>\n<p><strong>7)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>Sum of all prime numbers between 60 and 80<\/p>\n<p>= 61 + 67 + 71 + 73 + 79<\/p>\n<p>= 351<\/p>\n<p>=&gt; Ans &#8211; (C)<\/p>\n<p><strong>8)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>Let initial sum = $100x$<\/p>\n<p>After deducting 12%, sum left = $\\frac{(100-12)}{100}\\times100x=88x$<\/p>\n<p>Similarly, after deducting 25%, sum left = $\\frac{75}{100}\\times88x=66x$<\/p>\n<p>According to ques,<\/p>\n<p>=&gt; $66x=2508$<\/p>\n<p>=&gt; $x=\\frac{2508}{66}=38$<\/p>\n<p>$\\therefore$ Initial sum = $100\\times38=3800$<\/p>\n<p>=&gt; Ans &#8211; (D)<\/p>\n<p><strong>9)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>We know that $(45)^2=2025$<\/p>\n<p>So, the next number = $(46)^2=2116$<\/p>\n<p>Thus, X is replaced by 6<\/p>\n<p>=&gt; Ans &#8211; (C)<\/p>\n<p><strong>10)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>L.C.M.(2,3,7) = 42<\/p>\n<p>=&gt; Numbers from 300 to 700 which are divisible by 42 are = 336,378,420,&#8230;,672<\/p>\n<p>This is an AP with first term = $a=336$ and common difference = $d=42$<\/p>\n<p>Let number of terms = $n$<\/p>\n<p>=&gt; Last term = $a+(n-1)d=672$<\/p>\n<p>=&gt; $336+(n-1)42=672$<\/p>\n<p>=&gt; $(n-1)42=672-336=336$<\/p>\n<p>=&gt; $n-1=\\frac{336}{42}=8$<\/p>\n<p>=&gt; $n=8+1=9$<\/p>\n<p>=&gt; Ans &#8211; (C)<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.cracku.app\" target=\"_blank\" class=\"btn btn-info \">DOWNLOAD APP TO ACESSES DIRECTLY ON MOBILE<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/blog\/ssc-chsl-important-questions-and-answers-pdf\/\" target=\"_blank\" class=\"btn btn-danger \">SSC CHSL Important Q&amp;A PDF<\/a><\/p>\n<p>We hope this Number System Questions of set-3 pdf for SSC CHSL Exam preparation is so helpful to you.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Number System Questions for SSC CHSL set-3 pdf Download SSC CHSL Number System Questions with answers Set-3 PDF based on previous papers very useful for SSC CHSL Exams. Top-10 Very Important Questions for SSC Exam Take a free mock test for SSC CHSL Download SSC CHSL Previous Papers More SSC CHSL Important Questions and Answers [&hellip;]<\/p>\n","protected":false},"author":21,"featured_media":40703,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[3167,125,9,504,378,1493,1459,1611,1741,1268,1441],"tags":[3657,165,358],"class_list":{"0":"post-40665","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-downloads-en","8":"category-featured","9":"category-ssc","10":"category-ssc-cgl","11":"category-ssc-chsl","12":"category-ssc-cpo","13":"category-ssc-gd","14":"category-ssc-je","15":"category-ssc-mts","16":"category-ssc-stenographer","17":"category-stenographer","18":"tag-number-system-questions-for-ssc-chsl-set-3-pdf","19":"tag-ssc","20":"tag-ssc-chsl"},"better_featured_image":{"id":40703,"alt_text":"Number System Questions for SSC CHSL Set-3 PDF","caption":"Number System Questions for SSC CHSL Set-3 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