{"id":40473,"date":"2020-02-10T19:02:49","date_gmt":"2020-02-10T13:32:49","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=40473"},"modified":"2020-02-10T19:02:49","modified_gmt":"2020-02-10T13:32:49","slug":"ssc-questions-on-ratio-and-proportion-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/ssc-questions-on-ratio-and-proportion-pdf\/","title":{"rendered":"SSC Questions on Ratio and Proportion PDF"},"content":{"rendered":"

SSC Questions on Ratio and Proportion PDF<\/strong><\/span><\/h1>\n

Download SSC CGL Ratio and Proportion Questions with answers PDF based on previous papers very useful for SSC CGL exams. Top-10 Very Important Ratio and Proportion Questions for SSC Exams.<\/p>\n

Download SSC Questions on Ratio and Proportion PDF<\/a><\/p>\n

Take a free SSC CGL mock test<\/a><\/p>\n

Get 200 SSC mocks for just Rs. 249. Enroll here<\/a><\/p>\n

Take a free mock test for SSC CGL<\/a><\/p>\n

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More SSC CGL Important Questions and Answers PDF<\/a><\/p>\n

Question 1:\u00a0<\/b>If $a : b = 4 : 5$, then what will be the ratio of $\\left(\\frac{a}{b}\\right) : \\left(\\frac{b}{a}\\right)$?<\/p>\n

a)\u00a04 : 5<\/p>\n

b)\u00a05 : 4<\/p>\n

c)\u00a016 : 25<\/p>\n

d)\u00a01 : 1<\/p>\n

Question 2:\u00a0<\/b>The ratio of two numbers is 13 : 20. If the difference between them is 189, then what is the smaller of the two numbers?<\/p>\n

a)\u00a0279<\/p>\n

b)\u00a0221<\/p>\n

c)\u00a0297<\/p>\n

d)\u00a0351<\/p>\n

Question 3:\u00a0<\/b>If x : y = 5 : 4, then what will be the ratio of $\\left(\\frac{x}{y}\\right) : \\left( \\frac{y}{x} \\right)$?<\/p>\n

a)\u00a025 : 16<\/p>\n

b)\u00a016 : 25<\/p>\n

c)\u00a04 : 5<\/p>\n

d)\u00a05 : 4<\/p>\n

Question 4:\u00a0<\/b>The ratios of spirit and water in vessels A and B are 4 : 5 and 7: 11, respectively. The contents of A and B are mixed in the ratio 2 : 5. What is the ratio of spirit and water in the resulting solution?<\/p>\n

a)\u00a022 : 75<\/p>\n

b)\u00a053 : 75<\/p>\n

c)\u00a017 : 25<\/p>\n

d)\u00a013 : 20<\/p>\n

Question 5:\u00a0<\/b>The ratio of the mean proportional between 0.7 and 2.8 and the third proportional to 2.5 and 3.5 is:<\/p>\n

a)\u00a07 : 2<\/p>\n

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

c)\u00a07 : 3<\/p>\n

d)\u00a03 : 7<\/p>\n

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Question 6:\u00a0<\/b>The third proportional of two numbers 4 and 28 is _______.<\/p>\n

a)\u00a052<\/p>\n

b)\u00a056<\/p>\n

c)\u00a084<\/p>\n

d)\u00a0196<\/p>\n

Question 7:\u00a0<\/b>Find two numbers such that their mean proportion is 8 and third proportion is 64.<\/p>\n

a)\u00a04 and 8<\/p>\n

b)\u00a08 and 16<\/p>\n

c)\u00a08 and 8<\/p>\n

d)\u00a04 and 16<\/p>\n

Question 8:\u00a0<\/b>The third proportional to $(\\frac{x}{y}+\\frac{y}{x}) and \\sqrt{x^{2}+y^{2}}$ is<\/p>\n

a)\u00a0xy<\/p>\n

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

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

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

Question 9:\u00a0<\/b>The third proportional of two numbers 9 and 15 is<\/p>\n

a)\u00a021<\/p>\n

b)\u00a030<\/p>\n

c)\u00a025<\/p>\n

d)\u00a045<\/p>\n

Question 10:\u00a0<\/b>The third proportional of two numbers 9 and 24 is<\/p>\n

a)\u00a039<\/p>\n

b)\u00a048<\/p>\n

c)\u00a072<\/p>\n

d)\u00a064<\/p>\n

FREE SSC EXAM YOUTUBE VIDEOS<\/a><\/p>\n

18000+ Questions – Free SSC Study Material<\/a><\/p>\n

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

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

Given =\u00a0$a : b = 4 : 5$<\/p>\n

Let $a=4$ and\u00a0$b=5$<\/p>\n

To find\u00a0=\u00a0$\\left(\\frac{a}{b}\\right) : \\left(\\frac{b}{a}\\right)$<\/p>\n

= $a^2:b^2=16:25$<\/p>\n

=> Ans – (C)<\/p>\n

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

Let the numbers be $13x$ and $20x$<\/p>\n

Difference = $20x-13x=7x=189$<\/p>\n

=> $x=\\frac{189}{7}=27$<\/p>\n

Smaller number = $13\\times27=351$<\/p>\n

=> Ans – (D)<\/p>\n

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

Given\u00a0=\u00a0x : y = 5 : 4<\/p>\n

Let $x=5$ and $y=4$<\/p>\n

To find\u00a0=\u00a0$\\left(\\frac{x}{y}\\right) : \\left( \\frac{y}{x} \\right)$<\/p>\n

= $x^2:y^2=25:16$<\/p>\n

=> Ans – (A)<\/p>\n

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

Let quantity of mixture in A be 36 litres and in B be 90 litres (now their ratio is 2:5)<\/p>\n

=> Spirit in mixture A = 16 litres and water = 20 litres<\/p>\n

Similarly, spirit in mixture B = 35 litres and water = 55 litres<\/p>\n

2\u00a0parts of A and 5 parts of B are taken, => Total spirit\u00a0: total water = $(16+35):(20+55)$<\/p>\n

= $51:75=17:25$<\/p>\n

=> Ans – (C)<\/p>\n

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

Mean proportional between 0.7 and 2.8\u00a0= $\\sqrt{0.7\\times2.8}=1.4$<\/p>\n

Let third proportional to 2.5 and 3.5\u00a0be $x$<\/p>\n

=> $\\frac{2.5}{3.5}=\\frac{3.5}{x}$<\/p>\n

=> $x=\\frac{3.5\\times3.5}{2.5}=4.9$<\/p>\n

$\\therefore$ Required ratio = $\\frac{1.4}{4.9}=2:7$<\/p>\n

=> Ans – (B)<\/p>\n

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

Three numbers a,b,c are in proportion iff $b^2 = ac$<\/p>\n

Here, a = 4 and b = 28<\/p>\n

=> $(28)^2 = 4 \\times c$<\/p>\n

=> $c = \\frac{28 \\times 28}{4} = 7 \\times 28$<\/p>\n

=> $c = 196$<\/p>\n

=> Ans – (D)<\/p>\n

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

Three numbers a,b,c are in proportion iff $b^2 = ac$ where $b$ is the mean proportion and $c$ is the third proportion<\/p>\n

Mean proportion of two numbers $x$ and $y$ = 8<\/p>\n

=> $xy = (8)^2 = 64$ —————(i)<\/p>\n

Third proportion = 64<\/p>\n

=> $y^2 = x \\times 64$ ————-(ii)<\/p>\n

Substituting value of $x$ from equation(i) in equation(ii), we get\u00a0:<\/p>\n

=> $y^2 = \\frac{64}{y} \\times 64$<\/p>\n

=> $y^3 = (2)^6 \\times (2)^6 = (2)^{6 + 6}$<\/p>\n

=> $y = (2)^{\\frac{12}{3}} = 2^4 = 16$<\/p>\n

Substituting it in equation(i), => $x = \\frac{64}{16} = 4$<\/p>\n

=> Ans – (D)<\/p>\n

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

Let the third proportion be x.
\n$(\\frac{x}{y}+\\frac{y}{x}) : \\sqrt{x^{2}+y^{2}}$ :: $ \\sqrt{x^{2}+y^{2}} : z$
\n$(\\frac{x^2+y^2}{xy}) : \\sqrt{x^{2}+y^{2}}$ :: $ \\sqrt{x^{2}+y^{2}}: z$
\n$(\\frac{\\sqrt{x^2+y^2}}{xy}) : 1$ :: $\\frac{ \\sqrt{x^{2}+y^{2}}}{z}$
\n$(\\frac{\\sqrt{x^2+y^2}}{xy}) $ :: $\\frac{ \\sqrt{x^{2}+y^{2}}}{z}$
\nz=xy
\nOption A is the correct answer.<\/span><\/p>\n

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

Three numbers a,b,c are in proportion iff $b^2 = ac$ where $b$ is the mean proportion and $c$ is the third proportion<\/p>\n

The given numbers are 9 and 15<\/p>\n

=> $(15)^2 = 9 \\times c$<\/p>\n

=> $c = \\frac{15 \\times 15}{9}$<\/p>\n

=> $c = 5 \\times 5 = 25$<\/p>\n

=> Ans – (C)<\/p>\n

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

Three numbers a,b,c are in proportion iff $b^2 = ac$ where $b$ is the mean proportion and $c$ is the third proportion<\/p>\n

The given numbers are 9 and 24<\/p>\n

=> $(24)^2 = 9 \\times c$<\/p>\n

=> $c = \\frac{24 \\times 24}{9}$<\/p>\n

=> $c = 8 \\times 8 = 64$<\/p>\n

=> Ans – (D)<\/p>\n

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We hope this Ratio and Proportion Questions for SSC CGL Exam preparation is so helpful to you.<\/p>\n","protected":false},"excerpt":{"rendered":"

SSC Questions on Ratio and Proportion PDF Download SSC CGL Ratio and Proportion Questions with answers PDF based on previous papers very useful for SSC CGL exams. Top-10 Very Important Ratio and Proportion Questions for SSC Exams. Take a free mock test for SSC CGL Download SSC CGL Previous Papers PDF More SSC CGL Important […]<\/p>\n","protected":false},"author":49,"featured_media":40478,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[3167,125,9,504,378,1493,1459,1611,1741,1441],"tags":[3621,462],"class_list":{"0":"post-40473","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-downloads-en","8":"category-featured","9":"category-ssc","10":"category-ssc-cgl","11":"category-ssc-chsl","12":"category-ssc-cpo","13":"category-ssc-gd","14":"category-ssc-je","15":"category-ssc-mts","16":"category-stenographer","17":"tag-questions-on-ratio-and-proportion","18":"tag-ssc-cgl"},"better_featured_image":{"id":40478,"alt_text":"SSC Questions on Ratio and Proportion PDF","caption":"SSC Questions on Ratio and Proportion 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