{"id":27896,"date":"2019-04-24T16:37:21","date_gmt":"2019-04-24T11:07:21","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=27896"},"modified":"2019-04-24T16:37:21","modified_gmt":"2019-04-24T11:07:21","slug":"rrb-ntpc-maths-questions-set-2-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/rrb-ntpc-maths-questions-set-2-pdf\/","title":{"rendered":"RRB NTPC Maths Questions Set-2 PDF"},"content":{"rendered":"<h1><span style=\"text-decoration: underline; font-size: 24pt;\"><strong>RRB NTPC Maths Questions Set-2 PDF<\/strong><\/span><\/h1>\n<p>Download RRB NTPC Maths Set-2 Questions and Answers PDF. Top 15 RRB NTPC Maths questions based on asked questions in previous exam papers very important for the Railway NTPC exam.<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/downloads\/4163\" target=\"_blank\" class=\"btn btn-danger  download\">Download RRB NTPC Maths Questions Set-2 PDF<\/a><\/p>\n<p>Download <a href=\"https:\/\/cracku.in\/blog\/rrb-ntpc-maths-questions-pdf\/\" target=\"_blank\" rel=\"noopener\">RRB NTPC Set-1 Maths Questions PDF<\/a><\/p>\n<!-- Error, Advert is not available at this time due to schedule\/geolocation restrictions! -->\n<p>Take a <a href=\"https:\/\/cracku.in\/rrb-ntpc-mock-test\" target=\"_blank\" rel=\"noopener\">free mock test for RRB NTPC<\/a><\/p>\n<p>Download <a href=\"https:\/\/cracku.in\/railways-ntpc-previous-papers\" target=\"_blank\" rel=\"noopener\">RRB NTPC Previous Papers PDF<\/a><\/p>\n<p><b>Question 1:\u00a0<\/b>Find the value of $tan 56^\\circ &#8211; tan 11^\\circ &#8211; tan 56^\\circ.tan 11^\\circ$<\/p>\n<p>a)\u00a00<\/p>\n<p>b)\u00a01<\/p>\n<p>c)\u00a0-1<\/p>\n<p>d)\u00a02<\/p>\n<p><b>Question 2:\u00a0<\/b>Minimum value of $2\\sin^{2}x+1\\cos^{2}x$<\/p>\n<p>a)\u00a01.5<\/p>\n<p>b)\u00a02<\/p>\n<p>c)\u00a01<\/p>\n<p>d)\u00a00<\/p>\n<p><b>Question 3:\u00a0<\/b>If (a+b) = 13 and ab = 36, then find (a-b).<\/p>\n<p>a)\u00a08<\/p>\n<p>b)\u00a05<\/p>\n<p>c)\u00a06<\/p>\n<p>d)\u00a09<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/railways-ntpc-previous-papers\" target=\"_blank\" class=\"btn btn-primary \">RRB NTPC Previous Papers [Download PDF]<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/www.youtube.com\/channel\/UCMDJPaiDdRPv2mrEJoLfklA?sub_confirmation=1\" target=\"_blank\" class=\"btn btn-warning \">FREE RRB NTPC YOUTUBE VIDEOS<\/a><\/p>\n<p><b>Question 4:\u00a0<\/b>A number is increased by 20 and divided by 13 to get the result as 9 and if the number is decreased by 4 and divided by 27 then the remainder obtained ?<\/p>\n<p>a)\u00a011<\/p>\n<p>b)\u00a014<\/p>\n<p>c)\u00a012<\/p>\n<p>d)\u00a013<\/p>\n<p><b>Question 5:\u00a0<\/b>The product of $(a+b+c) \\times (a+2b-c)$ is ?<\/p>\n<p>a)\u00a0$a^2+2b^2-c^2+3ab+bc$<\/p>\n<p>b)\u00a0$a^2+2b^2-c^2+3ab+2bc$<\/p>\n<p>c)\u00a0$a^2+2b^2-c^2+2ab+bc$<\/p>\n<p>d)\u00a0$a^2+2b^2-c^2+3ab+3bc$<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/rrb-ntpc-mock-test\" target=\"_blank\" class=\"btn btn-danger \">RRB NTPC Free Mock Test<\/a><\/p>\n<!-- Error, Advert is not available at this time due to schedule\/geolocation restrictions! -->\n<p><b>Question 6:\u00a0<\/b>3[2x-4\/3] + 4[2-3x\/2] = 4, then find x ?<\/p>\n<p>a)\u00a03\/2<\/p>\n<p>b)\u00a00<\/p>\n<p>c)\u00a0x can be any number<\/p>\n<p>d)\u00a01<\/p>\n<p><b>Question 7:\u00a0<\/b>Find a-b if a+b = 23, ab = 132 ?<\/p>\n<p>a)\u00a01<\/p>\n<p>b)\u00a0-1<\/p>\n<p>c)\u00a02<\/p>\n<p>d)\u00a0Either (a) or (b)<\/p>\n<p><b>Question 8:\u00a0<\/b>If p, q are the sum and product of the roots of $3x^3-4x^2+5x-6=0$, then find p*q ?<\/p>\n<p>a)\u00a03\/8<\/p>\n<p>b)\u00a08\/3<\/p>\n<p>c)\u00a02\/3<\/p>\n<p>d)\u00a03\/2<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/blog\/general-science-questions-answers-competitive-exams-pdf-mcq-quiz\/\" target=\"_blank\" class=\"btn btn-info \">Download General Science Notes PDF<\/a><\/p>\n<!-- Error, Advert is not available at this time due to schedule\/geolocation restrictions! -->\n<p><b>Question 9:\u00a0<\/b>Find the value of $3^3+4^3+5^3+&#8230;..+10^3$ ?<\/p>\n<p>a)\u00a03015<\/p>\n<p>b)\u00a03020<\/p>\n<p>c)\u00a03025<\/p>\n<p>d)\u00a03016<\/p>\n<p><b>Question 10:\u00a0<\/b>Find the value of $1-\\frac{1}{1-\\frac{1}{1+\\frac{1}{x}}}$ ?<\/p>\n<p>a)\u00a0$x$<\/p>\n<p>b)\u00a0$-x$<\/p>\n<p>c)\u00a01<\/p>\n<p>d)\u00a0-1<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/rrb-je-mock-test\" target=\"_blank\" class=\"btn btn-info \">RRB JE Free Mock Test<\/a><\/p>\n<!-- Error, Advert is not available at this time due to schedule\/geolocation restrictions! -->\n<p><b>Question 11:\u00a0<\/b>Find x*y, if (x+y) = 14, (x-y) = 4 ?<\/p>\n<p>a)\u00a040<\/p>\n<p>b)\u00a056<\/p>\n<p>c)\u00a045<\/p>\n<p>d)\u00a050<\/p>\n<p><b>Question 12:\u00a0<\/b>Consider the following set of numbers: A = {1, 2, 3, 2, 5, 2, 3, 4, 6, 2, 3, 5, 5, 6, 7, 8, 7, 8, 3, 5, 6, 1, 3, 8, 7}. What is the mode of the set?<\/p>\n<p>a)\u00a04<\/p>\n<p>b)\u00a05<\/p>\n<p>c)\u00a03<\/p>\n<p>d)\u00a02<\/p>\n<p><b>Question 13:\u00a0<\/b>Find the absolute difference between the median and mode of the following data:<br \/>\n3, 6, 8, 6, 8, 7, 5, 4, 3, 8, 6, 7, 4, 9, 4, 2, 5, 1, 2, 8<\/p>\n<p>a)\u00a02<\/p>\n<p>b)\u00a03<\/p>\n<p>c)\u00a02.5<\/p>\n<p>d)\u00a02.75<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/rrb-online-test\" target=\"_blank\" class=\"btn btn-primary \"> Daily Free RRB Online Tests for RRB Exams<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/rrb-ntpc-mock-test\" target=\"_blank\" class=\"btn btn-primary \">RRB NTPC Free Mock Test<\/a><\/p>\n<p><b>Question 14:\u00a0<\/b>If 0.20 : 4 : : x : 120, then find the value of x.<\/p>\n<p>a)\u00a00.6<\/p>\n<p>b)\u00a060<\/p>\n<p>c)\u00a020<\/p>\n<p>d)\u00a06<\/p>\n<p><b>Question 15:\u00a0<\/b>The run-rate of 12 overs of a cricket match is 8 rpo. What should be the run-rate for the next 8 overs to chase the target of 160 runs?<\/p>\n<p>a)\u00a08 rpo<\/p>\n<p>b)\u00a06 rpo<\/p>\n<p>c)\u00a07.5 rpo<\/p>\n<p>d)\u00a08.6 rpo<\/p>\n<!-- Error, Advert is not available at this time due to schedule\/geolocation restrictions! -->\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/rrb-je-previous-papers\" target=\"_blank\" class=\"btn btn-warning \">Download Current Affairs Questions &amp; Answers PDF<\/a><\/p>\n<p><span style=\"text-decoration: underline;\"><strong>Answers &amp; Solutions:<\/strong><\/span><\/p>\n<p><strong>1)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>$56-11 = 45$<br \/>\nApplying \u2018tan\u2019 on both sides<br \/>\n$tan (56-11)^\\circ = tan 45^\\circ$ \u2192 (1)<br \/>\nWe know that $tan (A-B)^\\circ = \\dfrac{tan A^\\circ &#8211; tan B^\\circ}{1+tan A^\\circ.tan B^\\circ}$<br \/>\nThen, (1) becomes<br \/>\n$\\dfrac{tan 56^\\circ &#8211; tan 11^\\circ}{1+tan 56^\\circ.tan 11^\\circ} = 1$ (Since, $tan 45^\\circ = 1$)<\/p>\n<p>$tan 56^\\circ &#8211; tan 11^\\circ = 1+tan 56^\\circ.tan 11^\\circ$<br \/>\n\u21d2 $tan 56^\\circ &#8211; tan 11^\\circ &#8211; tan 56^\\circ.tan 11^\\circ = 1$<\/p>\n<p><strong>2)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>$(\\sin^{2}x+\\cos^{2}x)+\\sin^{2}x$=1+$\\sin^{2}x$<br \/>\nMinimum value of $\\sin x$ is when $x$=0 i.e $\\sin 0$=0<br \/>\nTherefore 1+0=1<br \/>\nHence, option C\u00a0is the correct answer.<\/p>\n<p><strong>3)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>We know that $(a-b)^2 = (a+b)^2-4ab$<br \/>\n\u21d2 $(a-b)^2 = 169-4*36 = 169-144 = 25$<br \/>\n\u21d2 (a-b) = 5<\/p>\n<p><strong>4)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>let the number be x<br \/>\n(x+20)\/13=9<br \/>\nx=117-20<br \/>\nx=97<br \/>\nAnd then (97-4)=93<br \/>\n93\/27 we get 12 as the remainder.<\/p>\n<p><strong>5)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>$(a+b+c)(a+2b-c)$<\/p>\n<p>=$a^2+2ab-ac+ab+2b^2-bc+ac+2bc-c^2$<\/p>\n<p>=$a^2+2b^2-c^2+3ab+bc$<\/p>\n<p>So the answer is option A.<\/p>\n<p><strong>6)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>3[2x-4\/3] + 4[2-3x\/2] = 4<\/p>\n<p>6x-4+8-6x = 4<\/p>\n<p>0 = 0<\/p>\n<p>here we have 6x and -6x, So for any value of x, 6x-6x = 0<\/p>\n<p>So the answer is option C.<\/p>\n<p><strong>7)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>$(a-b)^2 = (a+b)^2 &#8211; 4ab$<\/p>\n<p>$(a-b)^2 = (23)^2 &#8211; 4(132)$<\/p>\n<p>$(a-b)^2 = 529 &#8211; 528$<\/p>\n<p>$(a-b)^2 = 1$<\/p>\n<p>$a-b = +1 or -1$<\/p>\n<p>So the answer is option D.<\/p>\n<p><strong>8)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>p = sum of roots = -b\/a = 4\/3<\/p>\n<p>q = product of roots = -d\/a = 6\/3 = 2<\/p>\n<p>pq = (4\/3)(2) = 8\/3<\/p>\n<p>So the answer is option B.<\/p>\n<p><strong>9)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>$3^3+4^3+5^3+&#8230;..+10^3 = (1^3+2^3+&#8230;..+10^3)-(1^3+2^3) = (\\frac{10^2(11)^2}{4}) &#8211; (1+8) = 3025 &#8211; 9 = 3016$<\/p>\n<p>So the answer is option D.<\/p>\n<p><strong>10)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>$1-\\frac{1}{1-\\frac{1}{1+\\frac{1}{x}}}$ =\u00a0$1-\\frac{1}{1-\\frac{1}{\\frac{x+1}{x}}}$ =\u00a0$1-\\frac{1}{1-\\frac{x}{1+x}}$ =\u00a0$1-\\frac{1}{\\frac{1+x-x}{1+x}}$ =\u00a0$1-\\frac{1}{\\frac{1}{1+x}}$ = $1-1-x = -x$<\/p>\n<p>So the answer is option B.<\/p>\n<p><strong>11)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>x+y = 14<\/p>\n<p>x-y = 4<\/p>\n<p>On solving these 2 equations<\/p>\n<p>x = 9 &amp; y = 5<\/p>\n<p>Now, x*y = 9*5 = 45<\/p>\n<p>So the answer is option C.<\/p>\n<p><strong>12)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>The frequency of repetition of the numbers is as follows:<\/p>\n<p>1 &#8211; 2<br \/>\n2 &#8211; 4<br \/>\n3 &#8211; 5<br \/>\n4 &#8211; 1<br \/>\n5 &#8211; 4<br \/>\n6 &#8211; 3<br \/>\n7 &#8211; 3<br \/>\n8 &#8211; 3<br \/>\nSo, the mode is 3.<\/p>\n<p><strong>13)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>8 occurs the most number of times =&gt; 8 is mode.<br \/>\nWhen the data is arranged in the ascending order, we get:<br \/>\n1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9.<br \/>\n10th and 11th digits are 5 and 6 respectively.<br \/>\n=&gt; Median = (5+6)\/2 = 5.5<br \/>\nDifference = |8 &#8211; 5.5| = 2.5<\/p>\n<p><strong>14)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>$4\\times x = 0.20\\times120$<br \/>\n\u21d2 $x = \\dfrac{0.20\\times120}{4} = 6<\/p>\n<p><strong>15)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>Total score made in first 12 overs = 12*8 = 96 runs<br \/>\nTarget = 160 runs<br \/>\nRemaining score to be made = 160-96 = 64 runs<br \/>\nRequired run-rate = 64\/8 = 8 rpo.<\/p>\n<!-- Error, Advert is not available at this time due to schedule\/geolocation restrictions! -->\n<p class=\"text-center\"><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.cracku.app&amp;hl=en_US\" target=\"_blank\" class=\"btn btn-danger \">DOWNLOAD APP FOR RRB FREE MOCKS<\/a><\/p>\n<p>We hope this Maths Set-2\u00a0 Questions for RRB NTPC Exam will be highly useful for your Preparation<\/p>\n","protected":false},"excerpt":{"rendered":"<p>RRB NTPC Maths Questions Set-2 PDF Download RRB NTPC Maths Set-2 Questions and Answers PDF. Top 15 RRB NTPC Maths questions based on asked questions in previous exam papers very important for the Railway NTPC exam. Download RRB NTPC Set-1 Maths Questions PDF Take a free mock test for RRB NTPC Download RRB NTPC Previous [&hellip;]<\/p>\n","protected":false},"author":41,"featured_media":27899,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[169,125,31,1603],"tags":[489,491,1647,1619],"class_list":{"0":"post-27896","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-downloads","8":"category-featured","9":"category-railways","10":"category-rrb-ntpc","11":"tag-railway-exam","12":"tag-rrb","13":"tag-rrb-mocks","14":"tag-rrb-ntpc-2019"},"better_featured_image":{"id":27899,"alt_text":"RRB NTPC Maths Questions Set-2 PDF","caption":"RRB NTPC Maths Questions Set-2 PDF","description":"RRB NTPC Maths Questions Set-2 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