{"id":34321,"date":"2019-08-30T13:46:43","date_gmt":"2019-08-30T08:16:43","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=34321"},"modified":"2019-08-30T13:46:43","modified_gmt":"2019-08-30T08:16:43","slug":"simplification-questions-for-rrb-group-d-set-3-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/simplification-questions-for-rrb-group-d-set-3-pdf\/","title":{"rendered":"Simplification Questions for RRB Group-D Set-3 PDF"},"content":{"rendered":"

Simplification Questions for RRB Group-D Set-3 PDF<\/strong><\/span><\/h2>\n

Download Top-15 RRB Group-D Simplification Questions set-3 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 Simplification Questions for RRB Group-D Set-3 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>Simplify: $3 \\log 6+ 10 \\log 2 – 2 \\log 12 – \\log 3$<\/p>\n

a)\u00a09 log 2<\/p>\n

b)\u00a09<\/p>\n

c)\u00a011 log 3<\/p>\n

d)\u00a010<\/p>\n

Question 2:\u00a0<\/b>Simplify: $\\sqrt{19+4\\sqrt{21}}$<\/p>\n

a)\u00a0$2+\\sqrt{26} $<\/p>\n

b)\u00a0$3-\\sqrt{15} $<\/p>\n

c)\u00a0$\\sqrt{5}+\\sqrt{26} $<\/p>\n

d)\u00a0$\\sqrt{12}+\\sqrt{7}$<\/p>\n

Question 3:\u00a0<\/b>Simplify the surd $\\sqrt{10+\\sqrt{75}} + \\sqrt{10-\\sqrt{75}}$<\/p>\n

a)\u00a0$\\sqrt{28}$<\/p>\n

b)\u00a0$4 \\sqrt{2}$<\/p>\n

c)\u00a0$\\sqrt{30}$<\/p>\n

d)\u00a0$2\\sqrt{6}$<\/p>\n

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Question 4:\u00a0<\/b>Simplify the surd $ \\frac{7 \\sqrt{7} – 3 \\sqrt{3}}{\\sqrt{7} – \\sqrt{3}}$<\/p>\n

a)\u00a0$ 10 + \\sqrt{21}$<\/p>\n

b)\u00a0$ 10 – \\sqrt{21}$<\/p>\n

c)\u00a0$ \\sqrt{21} – 10 $<\/p>\n

d)\u00a0$ 7\\sqrt{3} + 3\\sqrt{7}$<\/p>\n

Question 5:\u00a0<\/b>Simplify: $\\frac{0.0347 \\times 0.0347 \\times 0.0347 + (0.9653)^3}{(0.0347)^2 – (0.347)(0.9653) + (0.9653)^2}$<\/p>\n

a)\u00a00.9306<\/p>\n

b)\u00a01.0009<\/p>\n

c)\u00a01.0050<\/p>\n

d)\u00a01<\/p>\n

Question 6:\u00a0<\/b>Simplify the equation: $\\frac{31^3 + 22^3}{31^2 + 22^2 – 682}$<\/p>\n

a)\u00a09<\/p>\n

b)\u00a053<\/p>\n

c)\u00a069<\/p>\n

d)\u00a093<\/p>\n

Question 7:\u00a0<\/b>Simplify the expression $\\sqrt{\\frac{1+cosx}{1-cosx}}$.<\/p>\n

a)\u00a0sec x + tan x<\/p>\n

b)\u00a0sin x<\/p>\n

c)\u00a0cosec x + cot x<\/p>\n

d)\u00a0cos x<\/p>\n

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Question 8:\u00a0<\/b>Simplify the given expression : $\\left( \\frac{\\left(3^{-1}-9^{-1}\\right)}{6}\\times 729\\right)^{\\frac{1}{3}}$<\/p>\n

a)\u00a0$\\frac{1}{9}$<\/p>\n

b)\u00a0$3$<\/p>\n

c)\u00a0$\\frac{1}{3}$<\/p>\n

d)\u00a0$9$<\/p>\n

Question 9:\u00a0<\/b>Simplify 437bxaz \/ 23ab.<\/p>\n

a)\u00a017xzb<\/p>\n

b)\u00a09xz<\/p>\n

c)\u00a019xz<\/p>\n

d)\u00a019ab<\/p>\n

Question 10:\u00a0<\/b>Simplify $486b^{3}x^{2} a^{4}z^{3}\/27a^{3} b^{2}z$<\/p>\n

a)\u00a0$18bx^{2}az^{2}$<\/p>\n

b)\u00a0$18bx^{2}a^{2}z$<\/p>\n

c)\u00a0$36ba^{2}z$<\/p>\n

d)\u00a0$36bxa^{2}z$<\/p>\n

Question 11:\u00a0<\/b>Expand and simplify $(x + 5)^2 + (x – 3)^2$<\/p>\n

a)\u00a0$2(x^2 + 2x – 17)$<\/p>\n

b)\u00a0$2(x^2 – 2x + 17)$<\/p>\n

c)\u00a0$2(x^2 – 2x – 17)$<\/p>\n

d)\u00a0$2(x^2 + 2x + 17)$<\/p>\n

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

Question 12:\u00a0<\/b>Expand and simplify expand and simplify : $(3x+2)^2 \\times (4x-3)-(2x^3-9x^2+12x-24)$<\/p>\n

a)\u00a0$34x^3+30x^2-32x-12$<\/p>\n

b)\u00a0$34x^3+30x^2-32x+12$<\/p>\n

c)\u00a0$34x^3-30x^2-32x+12$<\/p>\n

d)\u00a0$34x^3-30x^2+32x-12$<\/p>\n

Question 13:\u00a0<\/b>Simplify (533bxaz)\/(41ab)<\/p>\n

a)\u00a017xzb<\/p>\n

b)\u00a019xz<\/p>\n

c)\u00a013xz<\/p>\n

d)\u00a031ab<\/p>\n

Question 14:\u00a0<\/b>Expand and simplify $(x+4)^{2}+(x-2)^{2}$<\/p>\n

a)\u00a0$2(x^{2}+2x+10)$<\/p>\n

b)\u00a0$2(x^{2}+2x-10)$<\/p>\n

c)\u00a0$2(x^{2}-2x + 10)$<\/p>\n

d)\u00a0$2(x^{2}-2x-10)$<\/p>\n

Question 15:\u00a0<\/b>Simplify $576b^{3}x^{2}a^{4}z^{3}\/36a^{3}b^{2}z$<\/p>\n

a)\u00a0$16bx^{2}az^{2}$<\/p>\n

b)\u00a0$bx^{2} a^{2}z$<\/p>\n

c)\u00a0$32ba^{2}z$<\/p>\n

d)\u00a0$32bx^{a}2z$<\/p>\n

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

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

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

$3 \\log 6+ 10 \\log 2 – 2 \\log 12 – \\log 3$<\/p>\n

= $\\log \\frac{6^3*2^{10}}{12^2*3}$<\/p>\n

= $\\log 2^ 9= 9 \\log 2$<\/p>\n

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

Let $\\sqrt{19+4\\sqrt{21}} = \\sqrt{a}+\\sqrt{b}$
\n$\\rightarrow a+b+2\\sqrt{ab} = 19+4\\sqrt{21}$.
\nHence, a+b=19 and ab=84. Hence a=12, b=7.<\/p>\n

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

Let $X = \\sqrt{10+\\sqrt{75}} + \\sqrt{10-\\sqrt{75}}$
\nSo, $X^2 = 10+10+2*5 = 30$
\nSo, $X = \\sqrt{30}$<\/p>\n

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

Let $X = \\frac{7 \\sqrt{7} – 3 \\sqrt{3}}{\\sqrt{7} – \\sqrt{3}}$
\nMultiplying numerator and denominator by $(\\sqrt{7} + \\sqrt{3})$,<\/p>\n

$ X = (49 – 3 \\sqrt{21} + 7 \\sqrt{21} – 9)\/4 = 10 + \\sqrt{21}$<\/p>\n

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

Numerator is of the form of $a^{3} + b^{3}$ and denominator is of the form of\u00a0\u00a0$a^{2} + b^{2} – ab$
\nwhere a = .0347 and b= .9653
\nit will get reduce to a+b = 1<\/p>\n

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

We can solve the equation using the formula $a^3 + b^3$ = (a+b) * ($a^2+b^2$-ab)
\nSo, the answer is 31 + 22 = 53<\/p>\n

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

$\\sqrt{\\frac{1+cosx}{1-cosx}}$
\nMultiplying the numerator and denominator by 1+cosx, we get
\n$\\sqrt{\\frac{(1+cosx)^2}{(1-cosx)(1+cosx)}}$
\n=> $\\sqrt{\\frac{(1+cosx)^2}{(1- cos^2x}}$
\n=> $\\frac{1+cosx}{sinx}$ = cosecx + cotx$<\/p>\n

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

$\\left( \\frac{\\left(\\frac{1}{3}-\\frac{1}{9}\\right)}{6}\\times 729\\right)^{\\frac{1}{3}}$
\n$\\left( \\frac{\\left(\\frac{3-1}{9}\\right)}{6}\\times 729\\right)^{\\frac{1}{3}}$
\n$\\left( \\frac{\\left(\\frac{2}{9}\\right)}{6}\\times 729\\right)^{\\frac{1}{3}}$
\n$\\left(\\frac{1}{27}\\times 729\\right)^{\\frac{1}{3}}$
\n$\\left(27\\right)^{\\frac{1}{3}} = 3$
\nHence, correct option is B<\/p>\n

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

Expression\u00a0: $\\frac{437 b x a z}{23 a b}$<\/p>\n

= $\\frac{437}{23} \\times \\frac{abxz}{ab}$<\/p>\n

= $19 x z$<\/p>\n

=> Ans – (C)<\/p>\n

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

Expression\u00a0:\u00a0$486b^{3}x^{2} a^{4}z^{3}\/27a^{3} b^{2}z$<\/p>\n

= $\\frac{486}{27} \\times [(b)^{3 – 2} \\times (x)^{2} \\times (a)^{4 – 3} \\times (z)^{3 – 1}]$<\/p>\n

= $18 b x^2 a z^2$<\/p>\n

=> Ans – (A)<\/p>\n

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

Expression\u00a0:\u00a0$(x + 5)^2 + (x – 3)^2$<\/p>\n

= $(x^2 + 10x + 25) + (x^2 – 6x + 9)$<\/p>\n

= $2x^2 + 4x + 34$<\/p>\n

= $2(x^2 + 2x + 17)$<\/p>\n

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

Expression\u00a0:\u00a0$(3x+2)^2 \\times (4x-3)-(2x^3-9x^2+12x-24)$<\/p>\n

= $[(9x^2+4+12x) \\times (4x-3)]+(-2x^3+9x^2-12x+24)$<\/p>\n

= $(36x^3-27x^2)+(16x-12)+(48x^2-36x)+(-2x^3+9x^2-12x+24)$<\/p>\n

= $(36x^3-2x^3)+(-27x^2+48x^2+9x^2)+(16x-36x-12x)+(-12+24)$<\/p>\n

= $34x^3+30x^2-32x+12$<\/p>\n

=> Ans – (B)<\/p>\n

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

Simplify : (533bxaz)\/(41ab)<\/p>\n

= $\\frac{533}{41} \\times \\frac{(ab)xz}{ab}$<\/p>\n

= $13xz$<\/p>\n

=> Ans – (C)<\/p>\n

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

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

= $(x^2+16+8x)+(x^2+4-4x)$<\/p>\n

= $2x^2+4x+20$<\/p>\n

= $2(x^2+2x+10)$<\/p>\n

=> Ans – (A)<\/p>\n

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

Expression\u00a0:\u00a0$576b^{3}x^{2}a^{4}z^{3}\/36a^{3}b^{2}z$<\/p>\n

= $\\frac{576}{36} \\times \\frac{b^3x^2a^4z^3}{b^2a^3z}$<\/p>\n

= $16 \\times (b)^{3-2}(x)^{2}(a)^{4-3}(z)^{3-1}$<\/p>\n

= $16bx^2az^2$<\/p>\n

=> Ans – (A)<\/p>\n\n

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

We hope this Simplification Questions set-3 PDF for RRB Group-D Exam will be highly useful for your preparation.<\/p>\n","protected":false},"excerpt":{"rendered":"

Simplification Questions for RRB Group-D Set-3 PDF Download Top-15 RRB Group-D Simplification Questions set-3 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:\u00a0Simplify: $3 \\log 6+ 10 \\log 2 – […]<\/p>\n","protected":false},"author":41,"featured_media":34323,"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":[491,1637,1976,2052,1647],"class_list":{"0":"post-34321","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","13":"tag-rrb-exam","14":"tag-rrb-group-d-2019","15":"tag-rrb-maths","16":"tag-rrb-mocks"},"better_featured_image":{"id":34323,"alt_text":"Simplification Questions for RRB Group-D Set-3 PDF","caption":"Simplification Questions for RRB Group-D Set-3 PDF","description":"Simplification 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