{"id":29193,"date":"2018-07-18T06:05:50","date_gmt":"2018-07-18T06:05:50","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=29193"},"modified":"2020-12-02T12:32:06","modified_gmt":"2020-12-02T07:02:06","slug":"rs-aggarwal-solutions-class-10-chapter-1-real-numbers","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/rs-aggarwal-solutions-class-10-chapter-1-real-numbers\/","title":{"rendered":"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers"},"content":{"rendered":"<h2 style=\"text-align: left;\">RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers<\/h2>\n<p>These Solutions are part of <a href=\"https:\/\/cbselibrary.com\/rs-aggarwal-class-10-solutions\/\">RS Aggarwal Solutions Class 10<\/a>. Here we have given RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers<\/p>\n<h3><span style=\"color: #0000ff;\">Exercise 1A<\/span><\/h3>\n<p style=\"text-align: left;\"><span style=\"color: #993366;\"><strong>Questions 1:<\/strong><\/span><\/p>\n<p style=\"text-align: left;\">For any two given positive integers a and b there exist unique whole numbers q and r such that<br \/>\nHere, we call &#8216;a&#8217; as dividend, b as divisor, q as quotient and r as remainder.<br \/>\nDividend = (divisor quotient) + remainder<\/p>\n<p><strong>More Resources<\/strong><\/p>\n<ul>\n<li><a title=\"RS Aggarwal Class 10 Solutions\" href=\"https:\/\/cbselibrary.com\/course\/rs-aggarwal-class-10-solutions\/\">RS Aggarwal Solutions Class 10<\/a><\/li>\n<li><a title=\"RD Sharma Class 10 Solutions\" href=\"http:\/\/www.learncbse.in\/rd-sharma-class-10-solutions\/\">RD Sharma Class 10 Solutions<\/a><\/li>\n<li><a title=\"NCERT Solutions Home Page\" href=\"http:\/\/www.learncbse.in\/ncert-solutions-2\/\">NCERT Solutions<\/a><\/li>\n<\/ul>\n<p style=\"text-align: left;\"><span style=\"color: #993366;\"><strong>Questions 2:<\/strong><\/span><\/p>\n<p style=\"text-align: left;\">By Euclid&#8217;s Division algorithm we have:<br \/>\nDividend = (divisor * quotient) + remainder<br \/>\n= (61 * 27) + 32 = 1647 + 32 = 1679<\/p>\n<p style=\"text-align: left;\"><span style=\"color: #993366;\"><strong>Questions 3:<\/strong><\/span><\/p>\n<p style=\"text-align: left;\">By Euclid&#8217;s Division Algorithm, we have:<br \/>\nDividend = (divisor quotient) + remainder<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-118591\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-3.1.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 3.1\" width=\"231\" height=\"136\" \/><br \/>\n<span style=\"color: #993366;\"><strong>Questions 4:<\/strong><\/span><br \/>\n(i) On dividing 2520 by 405, we get<br \/>\nQuotient = 6, remainder = 90<br \/>\n2520 = (405 x 6) + 90<br \/>\nDividing 405 by 90, we get\u00a0Quotient = 4,\u00a0Remainder = 45<br \/>\n405 = 90 x 4 + 45<br \/>\nDividing 90 by 45 We get\u00a0Quotient = 2, remainder = 0<br \/>\n90 = 45 x 2<br \/>\nH.C.F. of 405 and 2520 is 45<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118592\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-4.1.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 4.1\" width=\"233\" height=\"197\" \/><br \/>\n(ii) Dividing 1188 by 504, we get\u00a0Quotient = 2, remainder = 180<br \/>\n1188 = 504 x 2+ 180<br \/>\nDividing 504 by 180 \u00a0Quotient = 2, remainder = 144<br \/>\n504 = 180 x 2 + 144<br \/>\nDividing 180 by 144, we get\u00a0Quotient = 1, remainder = 36<br \/>\nDividing 144 by 36<br \/>\nQuotient = 4, remainder = 0<br \/>\nH.C.F. of 1188 and 504 is 36<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118593\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-4.2.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 4.2\" width=\"306\" height=\"231\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-4.2.png 306w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-4.2-300x226.png 300w\" sizes=\"(max-width: 306px) 100vw, 306px\" \/><br \/>\n(iii) Dividing 1575 by 960, we get<br \/>\nQuotient = 1, remainder = 615<br \/>\n1575 = 960 x 1 + 615<br \/>\nDividing 960 by 615, we get\u00a0Quotient = 1, remainder = 345<br \/>\n960 = 615 x 1 + 345<br \/>\nDividing 615 by 345\u00a0Quotient = 1, remainder = 270<br \/>\n615 = 345 x 1 + 270<br \/>\nDividing 345 by 270, we get\u00a0Quotient = 1, remainder = 75<br \/>\n345 = 270 x 1 + 75<br \/>\nDividing 270 by 75, we get\u00a0Quotient = 3, remainder =45<br \/>\n270 = 75 x 3 + 45<br \/>\nDividing 75 by 45, we get\u00a0Quotient = 1, remainder = 30<br \/>\n75 = 45 x 1 + 30<br \/>\nDividing 45 by 30, we get\u00a0Remainder = 15, quotient = 1<br \/>\n45 = 30 x 1 + 15<br \/>\nDividing 30 by 15, we get\u00a0Quotient = 2, remainder = 0<br \/>\nH.C.F. of 1575 and 960 is 15<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118594\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-4.3.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 4.3\" width=\"455\" height=\"423\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-4.3.png 455w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-4.3-300x279.png 300w\" sizes=\"(max-width: 455px) 100vw, 455px\" \/><br \/>\n<span style=\"color: #993366;\"><strong>Questions 5:<\/strong><\/span><br \/>\n(i) By prime factorization, we get<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118595\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-5.1.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 5.1\" width=\"354\" height=\"153\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-5.1.png 354w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-5.1-300x130.png 300w\" sizes=\"(max-width: 354px) 100vw, 354px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118596\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-5.2.gif\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 5.2\" width=\"357\" height=\"128\" \/><br \/>\n(ii) By prime factorization. We get<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118597\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-5.3.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 5.3\" width=\"384\" height=\"205\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-5.3.png 384w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-5.3-300x160.png 300w\" sizes=\"(max-width: 384px) 100vw, 384px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118598\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-5.4.gif\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 5.4\" width=\"395\" height=\"104\" \/><br \/>\n(iii) By prime factorization, we get<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118599\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-5.5.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 5.5\" width=\"258\" height=\"303\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-5.5.png 258w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-5.5-255x300.png 255w\" sizes=\"(max-width: 258px) 100vw, 258px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118600\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-5.6.gif\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 5.6\" width=\"495\" height=\"109\" \/><br \/>\n<span style=\"color: #993366;\"><strong>Questions 6:<\/strong><\/span><br \/>\n(i) By prime factorization, we get<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118601\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-6.1.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 6.1\" width=\"443\" height=\"158\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-6.1.png 443w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-6.1-300x107.png 300w\" sizes=\"(max-width: 443px) 100vw, 443px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118602\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-6.2.gif\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 6.2\" width=\"432\" height=\"136\" \/><br \/>\n(ii) By prime factorization, we get<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118603\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-6.3.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 6.3\" width=\"301\" height=\"258\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-6.3.png 301w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-6.3-300x257.png 300w\" sizes=\"(max-width: 301px) 100vw, 301px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118604\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-6.4.gif\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 6.4\" width=\"351\" height=\"184\" \/><br \/>\n(iii) By prime factorization, we get<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118605\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-6.5.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 6.5\" width=\"397\" height=\"204\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-6.5.png 397w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-6.5-300x154.png 300w\" sizes=\"(max-width: 397px) 100vw, 397px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118606\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-6.6.gif\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 6.6\" width=\"495\" height=\"109\" \/><br \/>\n<span style=\"color: #993366;\"><strong>Questions 7:<\/strong><\/span><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118607\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-7.1.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 7.1\" width=\"343\" height=\"166\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-7.1.png 343w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-7.1-300x145.png 300w\" sizes=\"(max-width: 343px) 100vw, 343px\" \/><br \/>\n<span style=\"color: #993366;\"><strong>Questions 8:<\/strong><\/span><br \/>\nH.C.F. of two numbers = 11, their L.C.M = 7700<br \/>\nOne number = 275, let the other number be b<br \/>\nNow, 275 x b = 11 x 7700<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118608\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-8.1.gif\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 8.1\" width=\"175\" height=\"43\" \/><br \/>\n<span style=\"color: #993366;\"><strong>Questions 9:<\/strong><\/span><br \/>\nBy going upward<br \/>\n5 x 11= 55<br \/>\n55 x 3 = 165<br \/>\n165 x 2 = 330<br \/>\n330 x 2 = 660<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118609\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-9.1.jpg\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 9.1\" width=\"455\" height=\"214\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-9.1.jpg 455w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-9.1-300x141.jpg 300w\" sizes=\"(max-width: 455px) 100vw, 455px\" \/><br \/>\n<span style=\"color: #993366;\"><strong>Questions 10:<\/strong><\/span><br \/>\nSubtracting 6 from each number:<br \/>\n378 &#8211; 6 = 372, 510 &#8211; 6 = 504<br \/>\nLet us now find the HCF of 372 and 504 through prime factorization:<br \/>\n372 = 2 x 2 x 3 x 31<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118610\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-10.1.jpg\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 10.1\" width=\"256\" height=\"153\" \/><br \/>\n504 = 2 x 2 x 2 x 3 x 3 x 7<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118703\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/07\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-9.1.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1c 9.1\" width=\"102\" height=\"20\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/07\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-9.1.png 102w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/07\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-9.1-100x20.png 100w\" sizes=\"(max-width: 102px) 100vw, 102px\" \/><br \/>\nThe required number is 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118705\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/07\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-9.2.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1c 9.2\" width=\"290\" height=\"46\" \/><br \/>\n<span style=\"color: #993366;\"><strong>Questions 11:<\/strong><\/span><br \/>\nSubtracting 5 and 7 from 320 and 457 respectively:<br \/>\n320 &#8211; 5 = 315,<br \/>\n457 &#8211; 7 = 450<br \/>\nLet us now find the HCF of 315 and 405 through prime factorization:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118611\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-11.1.jpg\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 11.1\" width=\"271\" height=\"168\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118612\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-11.2.gif\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 11.2\" width=\"165\" height=\"99\" \/><br \/>\nThe required number is 45.<br \/>\n<span style=\"color: #993366;\"><strong>Questions 12:<\/strong><\/span><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118613\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-12.1.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 12.1\" width=\"363\" height=\"521\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-12.1.png 363w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-12.1-209x300.png 209w\" sizes=\"(max-width: 363px) 100vw, 363px\" \/><br \/>\n<span style=\"color: #993366;\"><strong>Questions 13:<\/strong><\/span><br \/>\nThe prime factorization of 42, 49 and 63 are:<br \/>\n42 = 2 x 3 x 7, 49 = 7 x 7, 63 = 3 x 3 x 7<br \/>\nTherefore, H.C.F. of 42, 49, 63 is 7<br \/>\nHence, greatest possible length of each plank = 7 m<br \/>\n<span style=\"color: #993366;\"><strong>Questions 14:<\/strong><\/span><br \/>\n7 m = 700cm, 3m 85cm = 385 cm<br \/>\n12 m 95 cm = 1295 cm<br \/>\nLet us find the prime factorization of 700, 385 and 1295:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118614\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-14.1.jpg\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 14.1\" width=\"423\" height=\"165\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-14.1.jpg 423w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-14.1-300x117.jpg 300w\" sizes=\"(max-width: 423px) 100vw, 423px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118615\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-14.2.gif\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 14.2\" width=\"304\" height=\"96\" \/><br \/>\nGreatest possible length = 35cm.<br \/>\n<span style=\"color: #993366;\"><strong>Questions 15:<\/strong><\/span><br \/>\nLet us find the prime factorization of 1001 and 910:<br \/>\n1001 = 11 x 7 x 13<br \/>\n910 = 2 x 5 x 7 x 13<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118616\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-15.1.jpg\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 15.1\" width=\"265\" height=\"141\" \/><br \/>\nH.C.F. of 1001 and 910 is 7 x 13 = 91<br \/>\nMaximum number of students = 91<br \/>\n<span style=\"color: #993366;\"><strong>Questions 16:<\/strong><\/span><br \/>\nLet us find the HCF of 336, 240 and 96 through prime factorization:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118617\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-16.1.jpg\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 16.1\" width=\"490\" height=\"210\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-16.1.jpg 490w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-16.1-300x129.jpg 300w\" sizes=\"(max-width: 490px) 100vw, 490px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118618\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-16.2.gif\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 16.2\" width=\"279\" height=\"99\" \/><br \/>\nEach stack of book will contain 48 books<br \/>\nNumber of stacks of the same height<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118619\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-16.3.gif\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 16.3\" width=\"264\" height=\"43\" \/><br \/>\n<span style=\"color: #993366;\"><strong>Questions 17:<\/strong><\/span><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118620\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-17.1.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 17.1\" width=\"401\" height=\"322\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-17.1.png 401w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-17.1-300x241.png 300w\" sizes=\"(max-width: 401px) 100vw, 401px\" \/><br \/>\n<span style=\"color: #993366;\"><strong>Questions 18:<\/strong><\/span><br \/>\nLet us find the LCM of 64, 80 and 96 through prime factorization:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118621\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-18.1.jpg\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 18.1\" width=\"371\" height=\"174\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-18.1.jpg 371w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-18.1-300x141.jpg 300w\" sizes=\"(max-width: 371px) 100vw, 371px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118622\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-18.2.gif\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 18.2\" width=\"243\" height=\"73\" \/><br \/>\nL.C.M of 64, 80 and 96\u00a0=<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118623\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-18.3.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 18.3\" width=\"297\" height=\"25\" \/><br \/>\nTherefore, the least length of the cloth that can be measured an exact number of times by the rods of 64cm, 80cm and 96cm = 9.6m<br \/>\n<span style=\"color: #993366;\"><strong>Questions 19:<\/strong><\/span><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118625\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-19.1.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 19.1\" width=\"406\" height=\"363\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-19.1.png 406w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-19.1-300x268.png 300w\" sizes=\"(max-width: 406px) 100vw, 406px\" \/><br \/>\n<span style=\"color: #993366;\"><strong>Questions 20:<\/strong><\/span><br \/>\nInterval of beeping together = LCM (60 seconds, 62 seconds)<br \/>\nThe prime factorization of 60 and 62:<br \/>\n60 = 30 x 2, 62 = 31 x 2<br \/>\nL.C.M of 60 and 62 is 30 x 31 x 2 = 1860 sec = 31min<br \/>\nelectronic device will beep after every 31minutes<br \/>\nAfter 10 a.m., it will beep at 10 hrs 31 minutes<br \/>\n<span style=\"color: #993366;\"><strong>Questions 21:<\/strong><\/span><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118626\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-21.1.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1a 21.1\" width=\"334\" height=\"303\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-21.1.png 334w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1a-21.1-300x272.png 300w\" sizes=\"(max-width: 334px) 100vw, 334px\" \/><\/p>\n<h3 style=\"text-align: center;\"><span style=\"color: #0000ff;\">Exercise 1B<\/span><\/h3>\n<p><span style=\"color: #993366;\"><strong>Questions 1:<\/strong><\/span><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118627\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1b-1.1.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1b 1.1\" width=\"426\" height=\"538\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1b-1.1.png 426w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1b-1.1-238x300.png 238w\" sizes=\"(max-width: 426px) 100vw, 426px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118628\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1b-1.2.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1b 1.2\" width=\"418\" height=\"321\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1b-1.2.png 418w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1b-1.2-300x230.png 300w\" sizes=\"(max-width: 418px) 100vw, 418px\" \/><br \/>\n<span style=\"color: #993366;\"><strong>Questions 2:<\/strong><\/span><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118629\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1b-2.1.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1b 2.1\" width=\"440\" height=\"667\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1b-2.1.png 440w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1b-2.1-198x300.png 198w\" sizes=\"(max-width: 440px) 100vw, 440px\" \/><br \/>\n<span style=\"color: #993366;\"><strong>Questions 3:<\/strong><\/span><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118630\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1b-3.1.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1b 3.1\" width=\"347\" height=\"624\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1b-3.1.png 347w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1b-3.1-167x300.png 167w\" sizes=\"(max-width: 347px) 100vw, 347px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118631\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1b-3.2.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1b 3.2\" width=\"345\" height=\"326\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1b-3.2.png 345w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1b-3.2-300x283.png 300w\" sizes=\"(max-width: 345px) 100vw, 345px\" \/><br \/>\n<span style=\"color: #993366;\"><strong>Questions 4:<\/strong><\/span><br \/>\n(i) 53.123456789 is a rational number since it is a terminating decimal.<br \/>\n(ii) <img loading=\"lazy\" class=\"alignnone size-full wp-image-118632\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1b-4.1.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1b 4.1\" width=\"122\" height=\"23\" \/>\u00a0is a rational number because it is a non &#8211; terminating repeating decimal.<br \/>\n(iii) 0.12012001200012&#8230;&#8230; is not a rational number as it is a non-terminating, non &#8211; repeating decimal.<\/p>\n<h3 style=\"text-align: center;\"><span style=\"color: #0000ff;\">Exercise 1C<\/span><\/h3>\n<p><span style=\"color: #993366;\"><strong>Questions 1:<\/strong><\/span><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118633\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-1.1.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1c 1.1\" width=\"454\" height=\"160\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-1.1.png 454w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-1.1-300x106.png 300w\" sizes=\"(max-width: 454px) 100vw, 454px\" \/><br \/>\n<span style=\"color: #993366;\"><strong>Questions 2:<\/strong><\/span><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118634\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-2.1.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1c 2.1\" width=\"481\" height=\"371\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-2.1.png 481w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-2.1-300x231.png 300w\" sizes=\"(max-width: 481px) 100vw, 481px\" \/><br \/>\n<span style=\"color: #993366;\"><strong>Questions 3:<\/strong><\/span><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118635\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-3.1.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1c 3.1\" width=\"483\" height=\"651\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-3.1.png 483w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-3.1-223x300.png 223w\" sizes=\"(max-width: 483px) 100vw, 483px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118636\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-3.2.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1c 3.2\" width=\"468\" height=\"681\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-3.2.png 468w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-3.2-206x300.png 206w\" sizes=\"(max-width: 468px) 100vw, 468px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118637\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-3.3.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1c 3.3\" width=\"474\" height=\"349\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-3.3.png 474w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-3.3-300x221.png 300w\" sizes=\"(max-width: 474px) 100vw, 474px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118638\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-3.4.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1c 3.4\" width=\"449\" height=\"527\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-3.4.png 449w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-3.4-256x300.png 256w\" sizes=\"(max-width: 449px) 100vw, 449px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118639\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-3.5.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1c 3.5\" width=\"465\" height=\"656\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-3.5.png 465w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-3.5-213x300.png 213w\" sizes=\"(max-width: 465px) 100vw, 465px\" \/><br \/>\n<span style=\"color: #993366;\"><strong>Questions 4:<\/strong><\/span><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118640\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-4.1.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1c 4.1\" width=\"442\" height=\"485\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-4.1.png 442w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-4.1-273x300.png 273w\" sizes=\"(max-width: 442px) 100vw, 442px\" \/><br \/>\n<span style=\"color: #993366;\"><strong>Questions 5:<\/strong><\/span><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118641\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-5.1.png\" alt=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers 1c 5.1\" width=\"443\" height=\"145\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-5.1.png 443w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Solutions-Class-10-Chapter-1-Real-Numbers-1c-5.1-300x98.png 300w\" sizes=\"(max-width: 443px) 100vw, 443px\" \/><br \/>\n<span style=\"color: #993366;\"><strong>Questions 6:<\/strong><\/span><br \/>\n(i) The sum of two rationals is always rational &#8211; True<br \/>\n(ii) The product of two rationals is always rational &#8211; True<br \/>\n(iii) The sum of two irrationals is an irrational &#8211; False<br \/>\n(iv) The product of two irrationals is an irrational &#8211; False<br \/>\n(v) The sum of a rational and an irrational is irrational &#8211; True<br \/>\n(vi) The product of a rational and an irrational is irrational &#8211; True<\/p>\n<p>Hope given <a href=\"https:\/\/cbselibrary.com\/rs-aggarwal-solutions-class-10-chapter-1-real-numbers\/\">RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers<\/a> are helpful to complete your math homework.<\/p>\n<p>If you have any doubts, please comment below. <a href=\"https:\/\/cbselibrary.com\">A Plus Topper<\/a> try to provide online math tutoring for you.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers These Solutions are part of RS Aggarwal Solutions Class 10. Here we have given RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers Exercise 1A Questions 1: For any two given positive integers a and b there exist unique whole numbers q and r such that &#8230; <a title=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers\" class=\"read-more\" href=\"https:\/\/cbselibrary.com\/rs-aggarwal-solutions-class-10-chapter-1-real-numbers\/\" aria-label=\"More on RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[6805],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.8 (Yoast SEO v18.4.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers - CBSE Library<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cbselibrary.com\/rs-aggarwal-solutions-class-10-chapter-1-real-numbers\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers\" \/>\n<meta property=\"og:description\" content=\"RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers These Solutions are part of RS Aggarwal Solutions Class 10. Here we have given RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers Exercise 1A Questions 1: For any two given positive integers a and b there exist unique whole numbers q and r such that ... 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