{"id":27971,"date":"2019-04-25T13:58:50","date_gmt":"2019-04-25T08:28:50","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=27971"},"modified":"2019-04-25T13:58:50","modified_gmt":"2019-04-25T08:28:50","slug":"decimal-fraction-questions-for-rrb-je-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/decimal-fraction-questions-for-rrb-je-pdf\/","title":{"rendered":"Decimal Fraction Questions for RRB JE PDF"},"content":{"rendered":"

Decimal Fraction Questions for RRB JE PDF<\/strong><\/span><\/h1>\n

Download Top 15 RRB JE Decimal Fraction Questions and Answers PDF. RRB JE Maths questions based on asked questions in previous exam papers very important for the Railway JE exam.<\/p>\n

Download Decimal Fraction Questions for RRB JE PDF <\/a><\/p>\n\n

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

Question 1:\u00a0<\/b>Which of the following fractions is the smallest?<\/p>\n

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

b)\u00a0$\\dfrac{1}{6}$<\/p>\n

c)\u00a0$\\dfrac{2}{9}$<\/p>\n

d)\u00a0$\\dfrac{1}{8}$<\/p>\n

Question 2:\u00a0<\/b>Which of the following is greatest ?
\n$\\frac{43}{44},\\frac{117}{120},\\frac{132}{135},\\frac{120}{123}$<\/p>\n

a)\u00a0$\\frac{43}{44}$<\/p>\n

b)\u00a0$\\frac{117}{120}$<\/p>\n

c)\u00a0$\\frac{150}{153}$<\/p>\n

d)\u00a0$\\frac{120}{123}$<\/p>\n

Question 3:\u00a0<\/b>When 0.728728728.\u2026 is converted into fraction, then what is its value?<\/p>\n

a)\u00a0$\\dfrac{7}{10}$<\/p>\n

b)\u00a0$\\dfrac{728}{999}$<\/p>\n

c)\u00a0$\\dfrac{72}{99}$<\/p>\n

d)\u00a0None of these<\/p>\n

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Question 4:\u00a0<\/b>Which of the following fractions is the second smallest?
\n$\\frac{23}{35}$, $\\frac{31}{43}$, $\\frac{47}{59}$, $\\frac{53}{65}$<\/p>\n

a)\u00a0$\\frac{23}{35}$<\/p>\n

b)\u00a0$\\frac{31}{43}$<\/p>\n

c)\u00a0$\\frac{47}{59}$<\/p>\n

d)\u00a0$\\frac{53}{65}$<\/p>\n

Question 5:\u00a0<\/b>If $\\frac{2a+b}{a+4b}$ = 3, then find the value of $\\frac{a+b}{a+2b}$<\/p>\n

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

b)\u00a0$\\frac{9}{7}$<\/p>\n

c)\u00a0$\\frac{5}{3}$<\/p>\n

d)\u00a0$\\frac{10}{9}$<\/p>\n

Question 6:\u00a0<\/b>$\\frac{3}{4}\\times \\frac{16}{27} \\div \\frac{2}{3} = ?$<\/p>\n

a)\u00a02\/3<\/p>\n

b)\u00a03\/2<\/p>\n

c)\u00a09\/4<\/p>\n

d)\u00a04\/9<\/p>\n

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Question 7:\u00a0<\/b>$\\frac{75\\times75-26\\times26}{101}=?$<\/p>\n

a)\u00a059<\/p>\n

b)\u00a039<\/p>\n

c)\u00a029<\/p>\n

d)\u00a049<\/p>\n

Question 8:\u00a0<\/b>By how much is $\\ \\frac{3}{5}$th of 75 greater than $\\ \\frac{4}{7}$th of 77?<\/p>\n

a)\u00a00<\/p>\n

b)\u00a05<\/p>\n

c)\u00a01<\/p>\n

d)\u00a0None of these<\/p>\n

Question 9:\u00a0<\/b>If x=y=z, then $\\ \\frac{(x+y+z)^{2}}{x^{2}+y^{2}+z^{2}}\\ $is:<\/p>\n

a)\u00a02<\/p>\n

b)\u00a03<\/p>\n

c)\u00a01<\/p>\n

d)\u00a04<\/p>\n

Question 10:\u00a0<\/b>Which of the following fractions is the largest?<\/p>\n

a)\u00a0$\\dfrac{2}{5}$<\/p>\n

b)\u00a0$\\dfrac{3}{11}$<\/p>\n

c)\u00a0$\\dfrac{1}{6}$<\/p>\n

d)\u00a0$\\dfrac{4}{13}$<\/p>\n

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Question 11:\u00a0<\/b>The Vulgar fraction of 0.3939…… is:<\/p>\n

a)\u00a0$\\frac{11}{39}$<\/p>\n

b)\u00a0$\\frac{17}{39}$<\/p>\n

c)\u00a0$\\frac{13}{33}$<\/p>\n

d)\u00a0$\\frac{15}{33}$<\/p>\n

Question 12:\u00a0<\/b>If $\\frac{a}{b}=\\frac{c}{d}=5$, then $\\frac{3a+4c}{3b+4d}$ is equal to<\/p>\n

a)\u00a060<\/p>\n

b)\u00a015<\/p>\n

c)\u00a05<\/p>\n

d)\u00a020<\/p>\n

Question 13:\u00a0<\/b>Find the value of $n+n+\\frac{3n}{2}+\\frac{9n}{4}+………\\infty$<\/p>\n

a)\u00a00<\/p>\n

b)\u00a0<\/del><\/del>1<\/p>\n

c)\u00a02<\/p>\n

d)\u00a0Infinity<\/p>\n

Question 14:\u00a0<\/b>The sum of a fraction and its reciprocal is $\\frac{113}{56}$. Find the fraction.<\/p>\n

a)\u00a0$\\frac{7}{8}$<\/p>\n

b)\u00a0$\\frac{5}{8}$<\/p>\n

c)\u00a0$\\frac{8}{9}$<\/p>\n

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

Question 15:\u00a0<\/b>If $a^{2}+b^{2}=80$ and $ab=32$, then calculate the value of $\\frac{a-b}{a+b}$<\/p>\n

a)\u00a00.337<\/p>\n

b)\u00a00.339<\/p>\n

c)\u00a00.333<\/p>\n

d)\u00a00.335<\/p>\n

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

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

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

$\\dfrac{2}{7} = 0.285$
\n$\\dfrac{1}{6} = 0.166$
\n$\\dfrac{2}{9} = 0.222$
\n$\\dfrac{1}{8} = 0.125$
\nHence, $\\dfrac{1}{8}$ is the smallest.<\/p>\n

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

The values of the fractions are
\n$\\frac{43}{44}$=0.977
\n$\\frac{117}{120}$=0.975
\n$\\frac{150}{153}$=0.98
\n$\\frac{120}{123}$=0.909<\/p>\n

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

Let x = 0.728728728\u2026. \u2192 (1)
\nHere, 3 digits are repeating. Hence, 1000 should be multiplied on both sides.
\n1000x = 728.728728728\u2026 \u2192 (2)
\nSubtracting (1) from (2)
\n\u21d2 1000x – x = 728.728728728\u2026 – 0.728728728\u2026
\n\u21d2 999x = 728
\n\u21d2 x = $\\dfrac{728}{999}$<\/p>\n

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

The difference between the numerator and the denominator for each fraction is 12. The lower the numerator, the closer it will be to zero and higher the numerator, the closer it will be to 1. So, the smallest fraction is $\\frac{23}{35}$.
\nThe second smallest is $\\frac{31}{43}$.<\/p>\n

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

Given $\\frac{2a+b}{a+4b}$=3<\/p>\n

=>$2a+3b=3a+12b$<\/p>\n

$=>a=-11b$<\/p>\n

Substituting this in $\\frac{a+b}{a+2b}$<\/p>\n

=$\\frac{-10b}{9b}$<\/p>\n

=$\\frac{10}{9}$<\/p>\n

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

$\\frac{3}{4}\\times \\frac{16}{27} \\div \\frac{2}{3}$ =\u00a0$\\frac{3}{4}\\times \\frac{16}{27} \\times \\frac{3}{2}$ = $\\frac{4}{9} \\times \\frac{3}{2} = \\frac{2}{3}$<\/p>\n

So the answer is option A.<\/p>\n

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

$\\frac{75\\times75-26\\times26}{101}$ = $ \\frac{75^{2}-26^{2}}{101}$<\/p>\n

==>$ \\frac{(75+26)(75-26)}{101}$ ( $\\because a^{2}-b^{2}=(a+b)(a-b)$)<\/p>\n

= $\\frac{101\\times49}{101} = 49$<\/p>\n

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

$\\frac{3}{5}\\times75$ = 45<\/p>\n

$\\frac{4}{5}\\times 77$ = 44<\/p>\n

$\\therefore$ 45 is greater than 44 by 1<\/p>\n

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

Given\u00a0: $x=y=z$<\/p>\n

Let $x=y=z=k$<\/p>\n

To find\u00a0:\u00a0$\\ \\frac{(x+y+z)^{2}}{x^{2}+y^{2}+z^{2}}\\ $<\/p>\n

= $\\frac{(k+k+k)^2}{k^2+k^2+k^2}$<\/p>\n

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

= $\\frac{9k^2}{3k^2}=3$<\/p>\n

=> Ans – (B)<\/p>\n

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

$\\dfrac{2}{5}$ = 0.4<\/p>\n

$\\dfrac{3}{11}$ = 0.27<\/p>\n

$\\dfrac{1}{6}$ = 0.16<\/p>\n

$\\dfrac{4}{13}$ = 0.30<\/p>\n

Hence, $\\dfrac{4}{13}$ is the largest.<\/p>\n

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

Number = $0.\\overline{39}$<\/p>\n

Let $x=0.\\overline{39}$ ————(i)<\/p>\n

=> $100x=39.\\overline{39}$ ————(ii)<\/p>\n

Subtracting equation (i) from (ii),<\/p>\n

=> $100x-x=39.39-0.39$<\/p>\n

=> $99x=39$<\/p>\n

=> $x=\\frac{39}{99}=\\frac{13}{33}$<\/p>\n

=> Ans – (C)<\/p>\n

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

Given\u00a0:\u00a0$\\frac{a}{b}=\\frac{c}{d}=5$<\/p>\n

Let $a=c=5$ and $b=d=1$<\/p>\n

To find\u00a0:\u00a0$\\frac{3a+4c}{3b+4d}$<\/p>\n

=\u00a0$\\frac{3(5)+4(5)}{3(1)+4(1)}$<\/p>\n

= $\\frac{15+20}{3+4}$<\/p>\n

= $\\frac{35}{7}=5$<\/p>\n

=> Ans – (C)<\/p>\n

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

Expression =\u00a0$n+n+\\frac{3n}{2}+\\frac{9n}{4}+………\\infty$<\/p>\n

=\u00a0$n+(n+\\frac{3n}{2}+\\frac{9n}{4}+………\\infty)$<\/p>\n

It is a geometric progression with common ratio, $r=\\frac{3}{2}$ and first term, $a=n$<\/p>\n

$\\because$ The common ratio is greater than 1, => Sum will tend to infinity.<\/p>\n

=> Ans – (D)<\/p>\n

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

Let the fraction be $x$<\/p>\n

According to ques,<\/p>\n

=> $x+\\frac{1}{x}=\\frac{113}{56}$<\/p>\n

=> $\\frac{x^2+1}{x}=\\frac{113}{56}$<\/p>\n

=> $56x^2-113x+56=0$<\/p>\n

=> $56x^2-49x-64x+56=0$<\/p>\n

=> $7x(8x-7)-8(8x-7)=0$<\/p>\n

=> $(7x-8)(8x-7)=0$<\/p>\n

=> $x=\\frac{8}{7},\\frac{7}{8}$<\/p>\n

=> Ans – (A)<\/p>\n

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

Given\u00a0:\u00a0$a^{2}+b^{2}=80$ ———-(i) and $ab=32$<\/p>\n

=> $2ab=64$ ———–(ii)<\/p>\n

Adding equations (i) and (ii), we get\u00a0:<\/p>\n

=> $a^2+b^2+2ab=80+64$<\/p>\n

=> $(a+b)^2=144$<\/p>\n

=> $(a+b)=\\sqrt{144}=12$<\/p>\n

Similarly, $(a-b)=4$<\/p>\n

$\\therefore$\u00a0$\\frac{a-b}{a+b}$<\/p>\n

= $\\frac{4}{12}=0.333$<\/p>\n

=> Ans – (C)<\/p>\n\n

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We hope this Decimal Fraction Questions for RRB JE Exam will be highly useful for your preparation<\/p>\n","protected":false},"excerpt":{"rendered":"

Decimal Fraction Questions for RRB JE PDF Download Top 15 RRB JE Decimal Fraction Questions and Answers PDF. RRB JE Maths questions based on asked questions in previous exam papers very important for the Railway JE exam. Download RRB JE Previous Papers PDF Question 1:\u00a0Which of the following fractions is the smallest? a)\u00a0$\\dfrac{2}{7}$ b)\u00a0$\\dfrac{1}{6}$ c)\u00a0$\\dfrac{2}{9}$ […]<\/p>\n","protected":false},"author":41,"featured_media":27975,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[169,125,31,1605],"tags":[489,491,1635,1647],"class_list":{"0":"post-27971","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-je","11":"tag-railway-exam","12":"tag-rrb","13":"tag-rrb-je","14":"tag-rrb-mocks"},"better_featured_image":{"id":27975,"alt_text":"Decimal Fraction Questions for RRB JE PDF","caption":"Decimal Fraction Questions for RRB JE PDF","description":"Decimal Fraction Questions for RRB JE 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