{"id":29172,"date":"2019-05-17T15:12:10","date_gmt":"2019-05-17T09:42:10","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=29172"},"modified":"2019-05-17T15:12:10","modified_gmt":"2019-05-17T09:42:10","slug":"rrb-ntpc-previous-year-maths-questions-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/rrb-ntpc-previous-year-maths-questions-pdf\/","title":{"rendered":"RRB NTPC Previous Year Maths Questions PDF"},"content":{"rendered":"

RRB NTPC Previous Year Maths Questions PDF<\/strong><\/span><\/h2>\n

Download RRB NTPC Previous year Maths 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

Download RRB NTPC Previous Year Maths Questions PDF<\/a><\/p>\n\n

Take a free mock test for RRB NTPC<\/a><\/p>\n

Download RRB NTPC Previous Papers PDF<\/a><\/p>\n

Question 1:\u00a0<\/b>In $\\triangle$PQR, S and T are the mid points of sides PQ and PR respectively. If $\\angle$QPR = $45^{0}$ and\u00a0$\\angle$PRQ = $55^{0}$, then what is the value (in degrees) of\u00a0$\\angle$QST ?<\/p>\n

a)\u00a080<\/p>\n

b)\u00a085<\/p>\n

c)\u00a090<\/p>\n

d)\u00a0100<\/p>\n

Question 2:\u00a0<\/b>If\u00a0 $(x-\\frac{1}{x})=3$, then what is the value of $(x^{3}-\\frac{1}{x^{3}})$ ?<\/p>\n

a)\u00a036<\/p>\n

b)\u00a021<\/p>\n

c)\u00a09<\/p>\n

d)\u00a027<\/p>\n

Question 3:\u00a0<\/b>Amit goes to his office by car at the speed of 80 km\\hr and reaches 15 minutes earlier. If he goes at the speed 60 km\/hr, he reaches 15 minutes late. What will be the speed (in km\/hr) of the car to reach on time ?<\/p>\n

a)\u00a0$66\\frac{2}{7}$<\/p>\n

b)\u00a0$67\\frac{4}{7}$<\/p>\n

c)\u00a0$68\\frac{4}{7}$<\/p>\n

d)\u00a0$69\\frac{4}{7}$<\/p>\n

RRB NTPC Previous Papers [Download PDF]<\/a><\/p>\n

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Question 4:\u00a0<\/b>Which of the following fractions does not lie between $\\frac{5}{6}$ and $\\frac{8}{15}$ ?<\/p>\n

a)\u00a0$\\frac{2}{3}$<\/p>\n

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

c)\u00a0$\\frac{4}{5}$<\/p>\n

d)\u00a0$\\frac{6}{7}$<\/p>\n

Question 5:\u00a0<\/b>The sum of present ages of 4 children who were born in an interval of 4 years is 78 years. What is the age of the eldest person?<\/p>\n

a)\u00a027 years<\/p>\n

b)\u00a012 years<\/p>\n

c)\u00a011 years<\/p>\n

d)\u00a025 years<\/p>\n

Question 6:\u00a0<\/b>The ratio of the ages of A, B and C is 5 : 8 : 9. If the sum of the ages of A and C is 56 years, the age of B will be<\/p>\n

a)\u00a012 years<\/p>\n

b)\u00a023 years<\/p>\n

c)\u00a021 years<\/p>\n

d)\u00a032 years<\/p>\n

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Question 7:\u00a0<\/b>The sum of the ages of husband and wife at present is 100. Ten years ago the ratio of their ages was 9:7. What is the age of the husband?<\/p>\n

a)\u00a045 years<\/p>\n

b)\u00a055 years<\/p>\n

c)\u00a065 years<\/p>\n

d)\u00a040 years<\/p>\n

Question 8:\u00a0<\/b>If $l^{3} + m^{3}$ = -218 and $lm = -35$ , then what is the value of $l + m$?<\/p>\n

a)\u00a0-6<\/p>\n

b)\u00a0-2<\/p>\n

c)\u00a0-4<\/p>\n

d)\u00a0-5<\/p>\n

Question 9:\u00a0<\/b>If $\\large\\frac{p}{q}+\\frac{q}{p}$ $=-1$, then the value of $p^{3}-q^{3}$ is<\/p>\n

a)\u00a064<\/p>\n

b)\u00a027<\/p>\n

c)\u00a0100<\/p>\n

d)\u00a00<\/p>\n

Download General Science Notes PDF<\/a><\/p>\n\n

Question 10:\u00a0<\/b>If $1^{2}+2^{2}+3^{2}+……..+n^{2}$ = $\\frac{n(n+1)(2n+1)}{6}$, then $1^{2}+3^{2}+5^{2}+……..+29^{2}$ is equal to:<\/p>\n

a)\u00a04385<\/p>\n

b)\u00a04395<\/p>\n

c)\u00a04495<\/p>\n

d)\u00a04485<\/p>\n

Question 11:\u00a0<\/b>Find the number of prime factors of 14560<\/p>\n

a)\u00a03<\/p>\n

b)\u00a04<\/p>\n

c)\u00a05<\/p>\n

d)\u00a06<\/p>\n

Download General Science Notes PDF<\/a><\/p>\n

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Question 12:\u00a0<\/b>In a class, there are 40 students. Some of them passed the examination and others failed. Raman\u2019s rank among the student who have passed is 13 th from top and 17 th from bottom. How many students have failed?<\/p>\n

a)\u00a011<\/p>\n

b)\u00a010<\/p>\n

c)\u00a09<\/p>\n

d)\u00a0Cannot be determined<\/p>\n

Question 13:\u00a0<\/b>What is the square root of $\\frac{(3-2\\sqrt2)}{(3+2\\sqrt2)}$ ?<\/p>\n

a)\u00a0$3-2\\sqrt2$<\/p>\n

b)\u00a0$3+2\\sqrt2$<\/p>\n

c)\u00a0$1$<\/p>\n

d)\u00a0$17$<\/p>\n

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Question 14:\u00a0<\/b>The number of diagonals of a regular polygon is 20. What is the ratio of an exterior angle to the interior angle of the regular polygon ?<\/p>\n

a)\u00a02:5<\/p>\n

b)\u00a01:3<\/p>\n

c)\u00a02:7<\/p>\n

d)\u00a01:4<\/p>\n

Question 15:\u00a0<\/b>Find the area(in sq.cm) of the sector subtending 72\u00b0 at the centre of a circle with a radius of 35cm ?<\/p>\n

a)\u00a0690<\/p>\n

b)\u00a0734<\/p>\n

c)\u00a0770<\/p>\n

d)\u00a0792<\/p>\n\n

Download Current Affairs Questions & Answers PDF<\/a><\/p>\n

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

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

<\/figure>\n

Given\u00a0:\u00a0$\\angle$QPR = $45^\\circ$ and\u00a0$\\angle$PRQ = $55^\\circ$<\/p>\n

To find\u00a0:\u00a0$\\angle$QST = ?<\/p>\n

Solution : In triangle, PQR<\/p>\n

=> $\\angle P+\\angle Q+\\angle R=180^\\circ$<\/p>\n

=> $45^\\circ+55^\\circ+\\angle Q=180^\\circ$<\/p>\n

=> $\\angle Q=180^\\circ-100^\\circ=80^\\circ$<\/p>\n

Now, since ST divides PQ and PR equally, thus ST is parallel to QR.<\/p>\n

$\\therefore$ Angles on the same side of transversal are supplementary, => $\\angle PQR+\\angle QST=180^\\circ$<\/p>\n

=> $\\angle QST=180^\\circ-80^\\circ=100^\\circ$<\/p>\n

=> Ans – (D)<\/p>\n

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

Given\u00a0:\u00a0$(x-\\frac{1}{x})=3$ ———-(i)<\/p>\n

Cubing both sides, we get\u00a0:<\/p>\n

=>\u00a0$(x-\\frac{1}{x})^3=(3)^3$<\/p>\n

=> $x^3-\\frac{1}{x^3}-3(x)(\\frac{1}{x})(x-\\frac{1}{x})=27$<\/p>\n

=> $x^3-\\frac{1}{x^3}-3(1)(3)=27$<\/p>\n

=>\u00a0$(x^{3}-\\frac{1}{x^{3}})=27+9=36$<\/p>\n

=> Ans – (A)<\/p>\n

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

Let ideal time taken to reach on time = $t$ hours<\/p>\n

Speed is inversely proportional to time<\/p>\n

=> $\\frac{80}{60}=\\frac{t+\\frac{1}{4}}{t-\\frac{1}{4}}$<\/p>\n

=> $80t-20=60t+15$<\/p>\n

=> $80t-60t=20t=15+20$<\/p>\n

=> $t=\\frac{35}{20}=\\frac{7}{4}$ hours<\/p>\n

Thus, distance covered by going at 60 km\/hr and reaching in $(\\frac{7}{4}+\\frac{1}{4}=2)$ hours = $60\\times2=120$ km<\/p>\n

$\\therefore$ Ideal speed to reach on time = $\\frac{120\\times4}{7}=68\\frac{4}{7}$ km\/hr<\/p>\n

=> Ans – (C)<\/p>\n

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

$\\frac{5}{6}=0.83$ and $\\frac{8}{15}=0.53$<\/p>\n

(A) :\u00a0$\\frac{2}{3}=0.6$<\/p>\n

(B) :\u00a0$\\frac{3}{4}=0.75$<\/p>\n

(C) :\u00a0$\\frac{4}{5}=0.8$<\/p>\n

(D) :\u00a0$\\frac{6}{7}=0.85$<\/p>\n

Thus, $\\frac{6}{7}$\u00a0does not lie between $\\frac{5}{6}$ and $\\frac{8}{15}$<\/p>\n

=> Ans – (D)<\/p>\n

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

Taking x as the age of the youngest one,
\nx + (x + 5) + (x + 10) + (x + 15) = 78 years
\n4x + 30 = 78
\nx = 12 years. Hence, the age of the eldest one is (12 + 15 ) = 27 years<\/p>\n

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

Let\u00a0the ages of A, B and C\u00a0respectively be $5x,8x$ and $9x$ years.<\/p>\n

According to ques, => $5x+9x=56$<\/p>\n

=> $x=\\frac{56}{14}=4$<\/p>\n

$\\therefore$ B’s age = $8\\times4=32$ years<\/p>\n

=> Ans – (D)<\/p>\n

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

Let husband’s age = $x$ years<\/p>\n

=> Wife’s age = $(100 – x)$ years<\/p>\n

According to ques,<\/p>\n

=> $\\frac{x – 10}{100 – x – 10} = \\frac{9}{7}$<\/p>\n

=> $\\frac{x – 10}{90 – x} = \\frac{9}{7}$<\/p>\n

=> $7x – 70 = 810 – 9x$<\/p>\n

=> $9x + 7x = 810 + 70 = 880$<\/p>\n

=> $x = \\frac{880}{16} = 55$ years<\/p>\n

=> Ans – (B)<\/p>\n

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

Given, $l^{3} + m^{3}$ = -218 and $lm = -35$<\/p>\n

$(l+m)^{3} = l^{3}+ m^{3} + 3lm(l+m)$<\/p>\n

$(l+m)^{3} = -218 + 3(-35)(l+m)$<\/p>\n

$(l+m)^{3} = -218 -105(l+m)$<\/p>\n

we need to solve 3rd degree equation<\/p>\n

so,without solving, by verification, we get $l+m = -2$,<\/p>\n

so the answer is option B.<\/p>\n

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

Given,<\/p>\n

$\\large\\frac{p}{q}+\\frac{q}{p}$ $=-1$<\/p>\n

$\\large\\frac{p^{2}+q^{2}}{pq}$ $ = -1$<\/p>\n

$p^{2}+q^{2} = -pq$<\/p>\n

$p^{2}+q^{2} + pq = 0$<\/p>\n

We know $p^{3}-q^{3}={(p-q)}{(p^{2}+q^{2}}{+pq)} $<\/p>\n

As $p^{2}-q^{2} + pq = 0$, therefore $p^{3}-q^{3}={(p-q)}{(p^{2}+q^{2}}{+pq)}=0$<\/p>\n

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

Let that fraction be $\\frac{1}{f}$<\/p>\n

Expression\u00a0:\u00a0$1^{2}+3^{2}+5^{2}+……..+29^{2}$<\/p>\n

=\u00a0$[1^{2}+2^{2}+3^{2}+4^{2}……..+28^{2}+29^{2}]$ $-[2^2+4^2+………+28^2]$<\/p>\n

=\u00a0$[1^{2}+2^{2}+3^{2}+4^{2}……..+28^{2}+29^{2}]$ $-(2^2)[1^2+2^2+3^2………+14^2]$<\/p>\n

= $[\\frac{29(29+1)(58+1)}{6}]-[4\\times\\frac{14(14+1)(28+1)}{6}]$<\/p>\n

=\u00a0$[\\frac{29(30)(59)}{6}]-[4\\times\\frac{14(15)(29)}{6}]$<\/p>\n

= $[29\\times5\\times59]-[4\\times5\\times7\\times29]$<\/p>\n

= $8555-4060=4495$<\/p>\n

=> Ans – (C)<\/p>\n

 <\/p>\n

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

We have to factorise the number into prime factors i.e
\n14560=$2^{5}*5*13*7$
\nThere are 4 different prime factors namely 2,5,7 and 13.<\/p>\n

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

Total number of students = 40<\/p>\n

Among the student who have passed, Raman’s rank from top = 13th<\/p>\n

Raman’s rank from bottom = 17th<\/p>\n

=> Total students who passed = $(13+17)-1=30-1=29$<\/p>\n

$\\therefore$ Number of students who have failed = $40-29=11$<\/p>\n

=> Ans – (A)<\/p>\n

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

Given\u00a0:\u00a0$x=\\frac{(3-2\\sqrt2)}{(3+2\\sqrt2)}$<\/p>\n

To find\u00a0: $\\sqrt{x}$<\/p>\n

Solution\u00a0: rationalizing the denominator, we get<\/p>\n

=>\u00a0$\\frac{(3-2\\sqrt2)}{(3+2\\sqrt2)}\\times\\frac{(3-2\\sqrt2)}{(3-2\\sqrt2)}$<\/p>\n

=\u00a0$\\frac{(3-2\\sqrt2)^2}{(3)^2-(2\\sqrt2)^2}$<\/p>\n

=\u00a0$\\frac{(3-2\\sqrt2)^2}{9-8}$<\/p>\n

=> $x=(3-2\\sqrt2)^2$<\/p>\n

Taking square root on both sides,<\/p>\n

=> $\\sqrt{x}=3-2\\sqrt2$<\/p>\n

=> Ans – (A)<\/p>\n

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

Number of diagonals of a regular polygon =n(n-3)\/2
\nn(n-3)=40
\n$n^{2}-3n-40$=0
\n$n^{2}+5n-8n-40$=0
\nn(n+5)-8(n+5)=0
\n(n-8)(n+5)=0
\nn=8
\nEach interior angle of a regular polygon=(2n-4)90\/n
\nEach exterior angle of a regular polygon=360\/n
\nRatio of exterior angle to interior angle=2\/n-2
\nFor n=8 we have 2\/6=1:3<\/p>\n

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

We know that,<\/p>\n

Area of sector of a circle = $\\frac{x}{360}*\\pi *r^{2}$<\/p>\n

Where $x$ is the angle subtended at the centre and $r$ is the radius of the circle<\/p>\n

Area =$\\frac{72}{360}\\times\\pi \\times35^{2}$ = 770 sq.cm<\/p>\n\n

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

We hope this Previous Year Maths Questions for RRB NTPC Exam will be highly useful for your Preparation.<\/p>\n","protected":false},"excerpt":{"rendered":"

RRB NTPC Previous Year Maths Questions PDF Download RRB NTPC Previous year Maths 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. Take a free mock test for RRB NTPC Download RRB NTPC Previous Papers PDF Question 1:\u00a0In $\\triangle$PQR, […]<\/p>\n","protected":false},"author":41,"featured_media":29174,"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-29172","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":29174,"alt_text":"RRB NTPC Previous Year Maths Questions PDF","caption":"RRB NTPC Previous Year Maths Questions PDF","description":"RRB NTPC Previous Year Maths Questions 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