{"id":36284,"date":"2019-10-18T11:20:58","date_gmt":"2019-10-18T05:50:58","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=36284"},"modified":"2019-10-18T11:20:58","modified_gmt":"2019-10-18T05:50:58","slug":"quadratic-equation-questions-for-rrb-group-d-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/quadratic-equation-questions-for-rrb-group-d-pdf\/","title":{"rendered":"Quadratic Equation Questions for RRB Group-D PDF"},"content":{"rendered":"

Quadratic Equation Questions for RRB Group-D PDF<\/strong><\/span><\/h2>\n

Download Top-10 RRB Group-D Quadratic Equations Questions PDF.\u00a0RRB GROUP-D Maths questions based on asked questions in previous exam papers very important for the Railway Group-D exam.<\/p>\n

Download Quadratic Equation Questions for RRB Group-D PDF<\/a><\/p>\n\n

Download RRB Group-D Previous Papers PDF<\/a><\/p>\n

Take a RRB Group-D free mock test<\/a><\/p>\n

Question 1:\u00a0<\/b>Which of the following quadratic equations has real roots?<\/p>\n

a)\u00a0$4x^{2}-3x+6=0$<\/p>\n

b)\u00a0$2x^{2}+7x+6=0$<\/p>\n

c)\u00a0$x^{2}-2x+4=0$<\/p>\n

d)\u00a0$3x^{2}-4x+3=0$<\/p>\n

Question 2:\u00a0<\/b>What is the value of m in the quadratic equation $x^{2}+mx+24=0$ if one of its roots is $\\frac{3}{2}$<\/p>\n

a)\u00a0$-\\frac{45}{2}$<\/p>\n

b)\u00a016<\/p>\n

c)\u00a0$-\\frac{21}{2}$<\/p>\n

d)\u00a0$-\\frac{35}{2}$<\/p>\n

Question 3:\u00a0<\/b>What are the roots of the quadratic equation: $x^2 + 3x – 154 = 0$<\/p>\n

a)\u00a021, 14<\/p>\n

b)\u00a011, \u00ad-14<\/p>\n

c)\u00a014, \u00ad-11<\/p>\n

d)\u00a014, \u00ad22<\/p>\n\n

Download RRB Group-D Previous Papers PDF<\/a><\/p>\n

Take a RRB Group-D free mock test<\/a><\/p>\n

Question 4:\u00a0<\/b>What are the roots of the quadratic equation $21x^{2} – 37x – 28 = 0$ ?<\/p>\n

a)\u00a0$\\frac{-7}{3}, \\frac{4}{7}$<\/p>\n

b)\u00a0$\\frac{3}{7}, \\frac{-7}{4}$<\/p>\n

c)\u00a0$\\frac{7}{3}, \\frac{-4}{7}$<\/p>\n

d)\u00a0$\\frac{-3}{7}, \\frac{7}{4}$<\/p>\n

Question 5:\u00a0<\/b>Which of the following quadratic equations has real roots?<\/p>\n

a)\u00a0$4x^{2}-9x + 6 = 0$<\/p>\n

b)\u00a0$3x^{2}-2x + 6 = 0$<\/p>\n

c)\u00a0$2x^{2}-7x + 6 = 0$<\/p>\n

d)\u00a0$x^{2}-2x+2=0$<\/p>\n

Question 6:\u00a0<\/b>What are the roots of the quadratic equation $4x^{2} + 6x – 18 = 0$?<\/p>\n

a)\u00a03, -3<\/p>\n

b)\u00a03, 6<\/p>\n

c)\u00a03\/2, -3<\/p>\n

d)\u00a03, 3<\/p>\n

RRB Group D previous year papers<\/a><\/p>\n

Daily Free RRB Online Test<\/a><\/p>\n

Question 7:\u00a0<\/b>Which of the following quadratic equations has real roots?<\/p>\n

a)\u00a0$3x^{2}-5x+2=0$<\/p>\n

b)\u00a0$3x^{2}-4x+2=0$<\/p>\n

c)\u00a0$4x^{2}-3x+2=0$<\/p>\n

d)\u00a0$5x^{2}-2x+2=0$<\/p>\n

Question 8:\u00a0<\/b>Find the roots of the quadratic equation : $27x^2 + 57x – 14 = 0$<\/p>\n

a)\u00a0\u00ad2\/9, 7\/3<\/p>\n

b)\u00a02\/9, \u00ad-7\/3<\/p>\n

c)\u00a09\/2, \u00ad3\/7<\/p>\n

d)\u00a0\u00ad9\/2, 3\/7<\/p>\n

RRB Group-D Important Questions (download PDF)<\/a><\/p>\n\n

Question 9:\u00a0<\/b>Which of the following is not a quadratic equation?<\/p>\n

a)\u00a0$3x(x + 5) -11 = 2x(x – 2) + 6$<\/p>\n

b)\u00a0$4x(x + 3) + 7 = 4x(x – 11) + 9$<\/p>\n

c)\u00a0$x(x + 2) -15 = x(2x – 5) + 11$<\/p>\n

d)\u00a0$4x^{2} – 6x – 9 = 0$<\/p>\n

Question 10:\u00a0<\/b>Find the difference of the roots of the equation $x^2-8x+13=0$<\/p>\n

a)\u00a02<\/p>\n

b)\u00a04<\/p>\n

c)\u00a0$2\\sqrt{3}$<\/p>\n

d)\u00a0$4\\sqrt{3}$<\/p>\n

General Science Notes for RRB Exams (PDF)<\/a><\/p>\n\n

Answers & Solutions:<\/strong><\/span><\/p>\n

1)\u00a0Answer\u00a0(B)<\/strong><\/p>\n

A quadratic equation : $ax^2 + bx + c = 0$ has real roots iff Discriminant, $D = b^2 – 4ac \\geq 0$<\/p>\n

(A) : $4x^{2}-3x+6=0$<\/p>\n

=> D = $(-3)^2 – 4(4)(6) = 9 – 96 = -87$<\/p>\n

(B) :\u00a0$2x^{2}+7x+6=0$<\/p>\n

=>\u00a0D = $(7)^2 – 4(2)(6) = 49 – 48 = 1$<\/p>\n

(C) :\u00a0$x^{2}-2x+4=0$<\/p>\n

=> D = $(-2)^2 – 4(1)(4) = 4 – 16 = -12$<\/p>\n

(D) :\u00a0$3x^{2}-4x+3=0$<\/p>\n

=>\u00a0D = $(-4)^2 – 4(3)(3) = 16 – 36 = -20$<\/p>\n

Thus, the equation :\u00a0$2x^{2}+7x+6=0$ has real roots.<\/p>\n

2)\u00a0Answer\u00a0(D)<\/strong><\/p>\n

Putting $x=\\frac{3}{2}$ in the quadratic equation :\u00a0$x^{2}+mx+24=0$<\/p>\n

=> $(\\frac{3}{2})^2+m(\\frac{3}{2})+24=0$<\/p>\n

=> $\\frac{9}{4}+24+\\frac{3m}{2}=0$<\/p>\n

=> $\\frac{3m}{2}=-(\\frac{96+9}{4})$<\/p>\n

=> $m=\\frac{-105}{4}\\times\\frac{2}{3}$<\/p>\n

=> $m=\\frac{-35}{2}$<\/p>\n

=> Ans – (D)<\/p>\n

3)\u00a0Answer\u00a0(B)<\/strong><\/p>\n

Equation\u00a0:\u00a0$x^2 + 3x – 154 = 0$<\/p>\n

=> $x^2 + 14x – 11x – 154 = 0$<\/p>\n

=> $x(x+14) – 11(x+14) = 0$<\/p>\n

=> $(x+14)(x-11) = 0$<\/p>\n

=> $x = -14,11$<\/p>\n

=> Ans – (B)<\/p>\n

4)\u00a0Answer\u00a0(C)<\/strong><\/p>\n

Equation\u00a0:\u00a0$21x^{2} – 37x – 28 = 0$<\/p>\n

=> $21x^2-49x+12x-28=0$<\/p>\n

=> $7x(3x-7) +4(3x-7)=0$<\/p>\n

=> $(7x+4)(3x-7)=0$<\/p>\n

=> $x = \\frac{-4}{7} , \\frac{7}{3}$<\/p>\n

=> Ans – (C)<\/p>\n

5)\u00a0Answer\u00a0(C)<\/strong><\/p>\n

A quadratic equation : $ax^2 + bx + c = 0$ has real roots iff Discriminant, $D = b^2 – 4ac \\geq 0$<\/p>\n

(A) : $4x^{2}-9x + 6 = 0$<\/p>\n

=> D = $(-9)^2 – 4(4)(6) = 81 – 96 = -15$<\/p>\n

(B) :\u00a0$3x^{2}-2x + 6 = 0$<\/p>\n

=>\u00a0D = $(-2)^2 – 4(3)(6) = 4 – 72 = -68$<\/p>\n

(C) :\u00a0$2x^{2}-7x + 6 = 0$<\/p>\n

=> D = $(-7)^2 – 4(2)(6) = 49 – 48 = 1$<\/p>\n

(D) :\u00a0$x^{2}-2x+2=0$<\/p>\n

=>\u00a0D = $(-2)^2 – 4(1)(2) = 4 – 8 = -4$<\/p>\n

Thus, the equation :\u00a0$2x^{2}-7x + 6 = 0$ has real roots.<\/p>\n

6)\u00a0Answer\u00a0(C)<\/strong><\/p>\n

Expression : $4x^2 + 6x – 18 = 0$<\/p>\n

=> $4x^2 – 6x + 12x – 18 = 0$<\/p>\n

=> $2x(2x – 3) + 6(2x – 3) = 0$<\/p>\n

=> $(2x + 6) (2x – 3) = 0$<\/p>\n

=> $x = \\frac{3}{2} , -3$<\/p>\n

=> Ans – (C)<\/p>\n

7)\u00a0Answer\u00a0(A)<\/strong><\/p>\n

A quadratic equation : $ax^2 + bx + c = 0$ has real roots iff Discriminant, $D = b^2 – 4ac \\geq 0$<\/p>\n

(A) : $3x^{2}-5x+2=0$<\/p>\n

=> D = $(-5)^2 – 4(3)(2) = 25 – 24 = 1$<\/p>\n

(B) :\u00a0$3x^{2}-4x+2=0$<\/p>\n

=>\u00a0D = $(-4)^2 – 4(3)(2) = 16 – 24 = -8$<\/p>\n

(C) :\u00a0$4x^{2}-3x+2=0$<\/p>\n

=> D = $(-3)^2 – 4(4)(2) = 9 – 32 = -23$<\/p>\n

(D) :\u00a0$5x^{2}-2x+2=0$<\/p>\n

=>\u00a0D = $(-2)^2 – 4(5)(2) = 4 – 40 = -36$<\/p>\n

Thus, the equation :\u00a0$3x^{2}-5x+2=0$ has real roots.<\/p>\n

8)\u00a0Answer\u00a0(B)<\/strong><\/p>\n

Expression : $27x^2 + 57x – 14 = 0$<\/p>\n

=> $27x^2 – 6x + 63x – 14 = 0$<\/p>\n

=> $3x(9x – 2) + 7(9x – 2) = 0$<\/p>\n

=> $(3x + 7) (9x – 2) = 0$<\/p>\n

=> $x = \\frac{2}{9} , \\frac{-7}{3}$<\/p>\n

9)\u00a0Answer\u00a0(B)<\/strong><\/p>\n

(A) :\u00a0$3x(x + 5) -11 = 2x(x – 2) + 6$<\/p>\n

=> $3x^2 + 15x – 11 = 2x^2 – 4x + 6$<\/p>\n

=> $x^2 + 19x – 17 = 0$<\/p>\n

(B) :\u00a0$4x(x + 3) + 7 = 4x(x – 11) + 9$<\/p>\n

=> $4x^2 + 12x + 7 = 4x^2 – 44x + 9$<\/p>\n

=> $56x – 2 = 0$<\/p>\n

(C) :\u00a0$x(x + 2) -15 = x(2x – 5) + 11$<\/p>\n

=> $x^2 + 2x – 15 = 2x^2 – 5x + 11$<\/p>\n

=> $x^2 – 7x + 26 = 0$<\/p>\n

(D) :\u00a0$4x^{2} – 6x – 9 = 0$<\/p>\n

$\\therefore$ Option (B) is not a quadratic equation.<\/p>\n

10)\u00a0Answer\u00a0(C)<\/strong><\/p>\n

let a and b be the roots.
\na+b = 8
\nab = 13
\na-b = $\\sqrt{(a+b)^2-4ab}$<\/p>\n

= $\\sqrt{8^2-4*13}$
\n= $\\sqrt{12}$
\n= $2\\sqrt{3}$<\/p>\n\n

DOWNLOAD APP FOR RRB FREE MOCKS<\/a><\/p>\n

We hope this Quadratic Equations Questions PDF for RRB Group-D Exam will be highly useful for your preparation.<\/p>\n","protected":false},"excerpt":{"rendered":"

Quadratic Equation Questions for RRB Group-D PDF Download Top-10 RRB Group-D Quadratic Equations Questions PDF.\u00a0RRB GROUP-D Maths questions based on asked questions in previous exam papers very important for the Railway Group-D exam. Download RRB Group-D Previous Papers PDF Take a RRB Group-D free mock test Question 1:\u00a0Which of the following quadratic equations has real […]<\/p>\n","protected":false},"author":41,"featured_media":36286,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[169,125,31,1679,1601],"tags":[1637,1976,1647],"class_list":{"0":"post-36284","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-group-d","11":"category-rrb-ntpc-je","12":"tag-rrb-exam","13":"tag-rrb-group-d-2019","14":"tag-rrb-mocks"},"better_featured_image":{"id":36286,"alt_text":"Quadratic Equation Questions for RRB Group-D PDF","caption":"Quadratic Equation Questions for RRB Group-D PDF","description":"Quadratic Equation Questions for RRB Group-D PDF","media_type":"image","media_details":{"width":1200,"height":630,"file":"2019\/10\/fig-18-10-2019_05-31-25.jpg","sizes":{"thumbnail":{"file":"fig-18-10-2019_05-31-25-150x150.jpg","width":150,"height":150,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-150x150.jpg"},"medium":{"file":"fig-18-10-2019_05-31-25-300x158.jpg","width":300,"height":158,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-300x158.jpg"},"medium_large":{"file":"fig-18-10-2019_05-31-25-768x403.jpg","width":768,"height":403,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-768x403.jpg"},"large":{"file":"fig-18-10-2019_05-31-25-1024x538.jpg","width":1024,"height":538,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-1024x538.jpg"},"tiny-lazy":{"file":"fig-18-10-2019_05-31-25-30x16.jpg","width":30,"height":16,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-30x16.jpg"},"td_80x60":{"file":"fig-18-10-2019_05-31-25-80x60.jpg","width":80,"height":60,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-80x60.jpg"},"td_100x70":{"file":"fig-18-10-2019_05-31-25-100x70.jpg","width":100,"height":70,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-100x70.jpg"},"td_218x150":{"file":"fig-18-10-2019_05-31-25-218x150.jpg","width":218,"height":150,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-218x150.jpg"},"td_265x198":{"file":"fig-18-10-2019_05-31-25-265x198.jpg","width":265,"height":198,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-265x198.jpg"},"td_324x160":{"file":"fig-18-10-2019_05-31-25-324x160.jpg","width":324,"height":160,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-324x160.jpg"},"td_324x235":{"file":"fig-18-10-2019_05-31-25-324x235.jpg","width":324,"height":235,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-324x235.jpg"},"td_324x400":{"file":"fig-18-10-2019_05-31-25-324x400.jpg","width":324,"height":400,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-324x400.jpg"},"td_356x220":{"file":"fig-18-10-2019_05-31-25-356x220.jpg","width":356,"height":220,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-356x220.jpg"},"td_356x364":{"file":"fig-18-10-2019_05-31-25-356x364.jpg","width":356,"height":364,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-356x364.jpg"},"td_533x261":{"file":"fig-18-10-2019_05-31-25-533x261.jpg","width":533,"height":261,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-533x261.jpg"},"td_534x462":{"file":"fig-18-10-2019_05-31-25-534x462.jpg","width":534,"height":462,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-534x462.jpg"},"td_696x0":{"file":"fig-18-10-2019_05-31-25-696x365.jpg","width":696,"height":365,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-696x365.jpg"},"td_696x385":{"file":"fig-18-10-2019_05-31-25-696x385.jpg","width":696,"height":385,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-696x385.jpg"},"td_741x486":{"file":"fig-18-10-2019_05-31-25-741x486.jpg","width":741,"height":486,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-741x486.jpg"},"td_1068x580":{"file":"fig-18-10-2019_05-31-25-1068x580.jpg","width":1068,"height":580,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-1068x580.jpg"},"td_1068x0":{"file":"fig-18-10-2019_05-31-25-1068x561.jpg","width":1068,"height":561,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-1068x561.jpg"},"td_0x420":{"file":"fig-18-10-2019_05-31-25-800x420.jpg","width":800,"height":420,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/10\/fig-18-10-2019_05-31-25-800x420.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\/10\/fig-18-10-2019_05-31-25.jpg"},"yoast_head":"\n\n\n\n\n\n\n\n\n\n\n\n\n\n\t\n\t\n\n\n\n