{"id":38938,"date":"2019-12-06T16:36:52","date_gmt":"2019-12-06T11:06:52","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=38938"},"modified":"2019-12-06T16:39:34","modified_gmt":"2019-12-06T11:09:34","slug":"ratio-and-proportion-questions-for-ssc-cgl-set-3-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/ratio-and-proportion-questions-for-ssc-cgl-set-3-pdf\/","title":{"rendered":"Ratio and Proportion Questions for SSC CGL Set-3 PDF"},"content":{"rendered":"

Ratio and Proportion Questions for SSC CGL Set-3 PDF<\/span><\/strong><\/span><\/h1>\n

Download SSC CGL Ratio and Proportion Questions with answers PDF based on previous papers very useful for SSC CGL exams. Very important Ration and Proportion Questions for SSC exams.<\/p>\n

Download Ratio and Proportion Questions Set-3 PDF<\/a><\/p>\n

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

Get 790+ mocks for Rs. 100 – Coupon GOVTJOB<\/a><\/p>\n

Question 1:\u00a0<\/b>The sum of the series (1 + 0.6 + 0.06 + 0.006 + 0.0006 + ….) is<\/p>\n

a)\u00a01$\\frac{2}{3}$<\/p>\n

b)\u00a01$\\frac{1}{3}$<\/p>\n

c)\u00a02$\\frac{1}{3}$<\/p>\n

d)\u00a02$\\frac{2}{3}$<\/p>\n

Question 2:\u00a0<\/b>If the ratio of cost price and selling price of an article be as 10:11, the percentage of profit is<\/p>\n

a)\u00a08<\/p>\n

b)\u00a010<\/p>\n

c)\u00a011<\/p>\n

d)\u00a015<\/p>\n

Question 3:\u00a0<\/b>A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is<\/p>\n

a)\u00a045:56<\/p>\n

b)\u00a045:51<\/p>\n

c)\u00a047:56<\/p>\n

d)\u00a047:51<\/p>\n

Question 4:\u00a0<\/b>Two natural numbers are in the ratio 3:5 and their product is 2160. The smaller of the numbers is<\/p>\n

a)\u00a036<\/p>\n

b)\u00a024<\/p>\n

c)\u00a018<\/p>\n

d)\u00a012<\/p>\n

Question 5:\u00a0<\/b>$\\frac{\\sqrt{3+x} + \\sqrt{3-x}}{\\sqrt{3+x} – \\sqrt{3-x}}$ = 2 then x is equal to<\/p>\n

a)\u00a05\/12<\/p>\n

b)\u00a012\/5<\/p>\n

c)\u00a05\/7<\/p>\n

d)\u00a07\/5<\/p>\n

SSC CGL Previous Papers Download PDF<\/a><\/p>\n

SSC CGL Free Mock Test<\/a><\/p>\n

Question 6:\u00a0<\/b>If Rs. 1000 is divided between A and B in the ratio 3:2, then A will receive<\/p>\n

a)\u00a0Rs. 400<\/p>\n

b)\u00a0Rs. 500<\/p>\n

c)\u00a0Rs. 600<\/p>\n

d)\u00a0Rs. 800<\/p>\n

Question 7:\u00a0<\/b>What must be added to each term of the ratio 7:11, so as to make it equal to 3:4 ?<\/p>\n

a)\u00a08<\/p>\n

b)\u00a07.5<\/p>\n

c)\u00a06.5<\/p>\n

d)\u00a05<\/p>\n

Question 8:\u00a0<\/b>If the circumference of a circle is decreased by 50% then the percentage of decrease in its area is:<\/p>\n

a)\u00a025<\/p>\n

b)\u00a050<\/p>\n

c)\u00a060<\/p>\n

d)\u00a075<\/p>\n

Instructions<\/b>Directions :The pie chart, given here, represents the number of valid votes obtained by four students who contested election for school leadership. The total number of valid votes polled was 720. Observe the chart and answer the questions based on it.
\n\"\"
\nNumber represented in pie-chart are in degrees.<\/p>\n

Question 9:\u00a0<\/b>What was the minimum number of votes obtained by any candidate ?<\/p>\n

a)\u00a0100<\/p>\n

b)\u00a0110<\/p>\n

c)\u00a0120<\/p>\n

d)\u00a0130<\/p>\n

Question 10:\u00a0<\/b>By how many votes did the winner defeat his nearest rival ?<\/p>\n

a)\u00a040<\/p>\n

b)\u00a045<\/p>\n

c)\u00a048<\/p>\n

d)\u00a050<\/p>\n

Question 11:\u00a0<\/b>Two number are in the ratio 7:1 1. If 7 is added to each of the numbers, the ratio becomes 2:3. The smaller number is<\/p>\n

a)\u00a039<\/p>\n

b)\u00a049<\/p>\n

c)\u00a066<\/p>\n

d)\u00a077<\/p>\n

Question 12:\u00a0<\/b>If an article is sold at 200% profit, then the ratio of its cost price to its selling price will be:<\/p>\n

a)\u00a01:2<\/p>\n

b)\u00a02:1<\/p>\n

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

d)\u00a03:1<\/p>\n

Question 13:\u00a0<\/b>The ratio of milk and water in mixtures of four containers are 5:3, 2:1, 3:2 and 7:4 respectively. In which container is the quantity of milk, relative to water, minimum?<\/p>\n

a)\u00a0First<\/p>\n

b)\u00a0Second<\/p>\n

c)\u00a0Third<\/p>\n

d)\u00a0Fourth<\/p>\n

Question 14:\u00a0<\/b>Two numbers are in the ratio 1:3. If their sum is 240, then their difference is:<\/p>\n

a)\u00a0120<\/p>\n

b)\u00a0108<\/p>\n

c)\u00a0100<\/p>\n

d)\u00a096<\/p>\n

Question 15:\u00a0<\/b>The ratio of income and expenditure of a person is 11:10. If he saves IRS. 9,000 per annum. his monthly income is:<\/p>\n

a)\u00a0Rs. 8,000<\/p>\n

b)\u00a0Rs. 8,800<\/p>\n

c)\u00a0Rs. 8,500<\/p>\n

d)\u00a0Rs. 8,250<\/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(A)<\/strong><\/p>\n

Given:
\nSummation of numbers (1 + 0.6 + 0.06….)
\nas we can see that the sequence 0.6, 0.06, 0.006 is making infinite g.p. with common ratio of 0.1
\nas we know summation of an infinite g.p. is $\\frac{a}{1-r}$ (where a is first term and r is common ratio)
\nhence summation will be $\\frac{0.6}{1-0.1}$ =\u00a0$\\frac{2}{3}$<\/p>\n

Now the total sum will be 1+$\\frac{2}{3}$ = 1$\\frac{2}{3}$<\/p>\n

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

Let the cost price be 10x<\/em> and selling price be 11x<\/em><\/p>\n

Percentage Profit = $\\frac{11x – 10x}{10x}$ x 100 = 10<\/p>\n

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

Given: Profit = 12%
\nDiscount on printed price = 10%
\nLet’s say cost price is $x$ and printed price is $y$
\nhence sold price will be $x$ + $\\frac{12x}{100}$ and $y$ – $\\frac{10y}{100}$
\nBoth should be equal:
\nhence\u00a0$x$ + $\\frac{12x}{100}$ =\u00a0$y$ – $\\frac{10y}{100}$
\n$\\frac{x}{y}$ = $\\frac{45}{56}$<\/p>\n

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

Given:
\nRatio of two numbers = 3:5
\nHence we can say first number is $3x$ and second number is $5x$
\nProduct of two numbers is = 2160
\nor $15x^{2}$ = 2160
\nor $x$ = 12
\nhence numbers will be 30 and 60<\/p>\n

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

Let’s say $\\sqrt{3+x}$ = a
\nand $\\sqrt{3-x}$ = b
\nhence $\\frac{a+b}{a-b}$ = 2
\nNow let’s say $\\frac{a}{b}$ = $y$
\nAccording to ratio proportionate rule \u00a0$\\frac{a+b}{a-b}$ =\u00a0\u00a0$\\frac{y+1}{y-1}$
\nAfter putting value and solving for $y$, its value will be 3
\nhence\u00a0$\\frac{a}{b}$ = 3
\nnow putting a =\u00a0$\\sqrt{3+x}$ and\u00a0$\\sqrt{3-x}$ = b and solving for $x$
\nwe will get\u00a0$x$=$\\frac{12}{5}$<\/p>\n

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

Given: ratio of A and B is 3:2 and total money to be divided 1000
\nlet’s say A received $3x$ and B received $2x$
\nhence\u00a0\u00a0$3x$ +\u00a0\u00a0$2x$ = 1000
\nor\u00a0$x$ = 200
\nhence A will receive 600<\/p>\n

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

Given: Terms are in ratio 7:11
\nlet’s say first term $7x$ and second term $11x$
\nadding $y$ to each term, it will be\u00a0$7x+y$ and\u00a0$11x+y$
\nand its ratio will be 3:4
\nhence\u00a0$7x+y$ :\u00a0$11x+y$ =\u00a03:4
\non solving above equation we get $5x$ = $y$
\nhence adding number should be a multiple of 5.
\nanswer will be (D)<\/p>\n

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

As we know circumference of a circle will be directly proportional to its radius $r_{1}$
\nhence when it got half its radius will also get half
\nnow area of a circle is directly proportional to square of its radius
\nhence when its radius gets half its area gets $\\frac{1}{4}$th of its value
\nlet us say area was A
\nafter decrement it will be\u00a0$\\frac{A}{4}$
\nDecrement is of\u00a0$\\frac{3A}{4}$ which is 75% of its original value.<\/p>\n

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

Numbers of votes will be proportional to degree of angles in pie chart
\nhence minimum angle is representing the minimum distribution
\nso yasin will be having minimum number of votes which will be $\\frac{60}{360}\\times720=120$<\/p>\n

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

As we know the number of votes will be directly proportional to the distribution
\nShivaraman has the maximum no. of votes which will be $\\frac{120}{360}\\times720$=240
\nand secondly viswanath has number of votes $\\frac{100}{360}\\times720$=200
\nHence difference will be 40<\/p>\n

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

Let’s say numbers are $7x$ and $11x$
\nadding 7 to each of them
\nhence\u00a0$\\frac{7x+7}{11x+7}$ =\u00a0$\\frac{2}{3}$
\nor $x$ = 7
\nsmaller digit will be 49<\/p>\n

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

As we know cost price + profit = selling price
\nlet’s say cost price is $x$
\nas profit is 200% on cost price it will be $2x$
\nhence selling price will be 3x and ratio of cost price to selling price will be 1:3<\/p>\n

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

In first container quantity of milk relative to water is $\\frac{5}{3} \\times100$ = 166.65%
\nIn second container quantity of milk relative to water is\u00a0$\\frac{2}{1} \\times100$ = 200%
\nIn third container quantity of milk relative to water is\u00a0$\\frac{2}{1} \\times100$ = 150%
\nIn fourth container quantity of milk relative to water is\u00a0$\\frac{7}{4} \\times100$ = 175%
\nhence third container has least ratio<\/p>\n

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

let’s say one number is $x$ and another is $3x$
\nsummation will be $4x$ = 240
\n$x$ = 60
\nhence number will be 60 and 180
\nand difference will be 120.<\/p>\n

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

let’s say income is $11x$ and expenditure is $10x$ hence saving will be $x$
\nso when saving is $x$, annual income is\u00a0$11x$
\nnow when saving is 9000 , annual income will be\u00a0\u00a099000
\nand monthly income will be 8,250<\/p>\n

SSC Free Previous Papers App<\/a><\/p>\n

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

Ratio and Proportion Questions for SSC CGL Set-3 PDF Download SSC CGL Ratio and Proportion Questions with answers PDF based on previous papers very useful for SSC CGL exams. Very important Ration and Proportion Questions for SSC exams. Question 1:\u00a0The sum of the series (1 + 0.6 + 0.06 + 0.006 + 0.0006 + ….) […]<\/p>\n","protected":false},"author":32,"featured_media":38940,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[3165,8,1254,471,2999,229,228,1127,2071,2067,2069,277,255,31,3171,243,1679,1897,1605,1603,1601,1673,232,231,9,504,378,1493,1459,1611,1741,1268,1441,1],"tags":[462],"class_list":{"0":"post-38938","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-banking-en","8":"category-banking","9":"category-competitive-exams","10":"category-current-affairs-2","11":"category-ibps-en","12":"category-ibpsclerk","13":"category-ibpspo","14":"category-ibps-rrb","15":"category-ibps-rrb-clerk-en","16":"category-ibps-rrb-clerk","17":"category-ibps-rrb-po","18":"category-ibps-so","19":"category-ibps-specialist-officer-so","20":"category-railways","21":"category-railways-en","22":"category-rbi","23":"category-rrb-group-d","24":"category-rrb-group-d-2","25":"category-rrb-je","26":"category-rrb-ntpc","27":"category-rrb-ntpc-je","28":"category-rrb-para-medical-categories","29":"category-sbiclerk","30":"category-sbipo","31":"category-ssc","32":"category-ssc-cgl","33":"category-ssc-chsl","34":"category-ssc-cpo","35":"category-ssc-gd","36":"category-ssc-je","37":"category-ssc-mts","38":"category-ssc-stenographer","39":"category-stenographer","40":"category-uncategorized","41":"tag-ssc-cgl"},"better_featured_image":{"id":38940,"alt_text":"ratio and proportion questions for ssc cgl set-3 pdf","caption":"ratio and proportion questions for ssc cgl set-3 pdf\n","description":"ratio and proportion questions for ssc cgl set-3 pdf\n","media_type":"image","media_details":{"width":1200,"height":630,"file":"2019\/12\/fig-06-12-2019_10-26-22.jpg","sizes":{"thumbnail":{"file":"fig-06-12-2019_10-26-22-150x150.jpg","width":150,"height":150,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-150x150.jpg"},"medium":{"file":"fig-06-12-2019_10-26-22-300x158.jpg","width":300,"height":158,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-300x158.jpg"},"medium_large":{"file":"fig-06-12-2019_10-26-22-768x403.jpg","width":768,"height":403,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-768x403.jpg"},"large":{"file":"fig-06-12-2019_10-26-22-1024x538.jpg","width":1024,"height":538,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-1024x538.jpg"},"tiny-lazy":{"file":"fig-06-12-2019_10-26-22-30x16.jpg","width":30,"height":16,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-30x16.jpg"},"td_80x60":{"file":"fig-06-12-2019_10-26-22-80x60.jpg","width":80,"height":60,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-80x60.jpg"},"td_100x70":{"file":"fig-06-12-2019_10-26-22-100x70.jpg","width":100,"height":70,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-100x70.jpg"},"td_218x150":{"file":"fig-06-12-2019_10-26-22-218x150.jpg","width":218,"height":150,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-218x150.jpg"},"td_265x198":{"file":"fig-06-12-2019_10-26-22-265x198.jpg","width":265,"height":198,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-265x198.jpg"},"td_324x160":{"file":"fig-06-12-2019_10-26-22-324x160.jpg","width":324,"height":160,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-324x160.jpg"},"td_324x235":{"file":"fig-06-12-2019_10-26-22-324x235.jpg","width":324,"height":235,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-324x235.jpg"},"td_324x400":{"file":"fig-06-12-2019_10-26-22-324x400.jpg","width":324,"height":400,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-324x400.jpg"},"td_356x220":{"file":"fig-06-12-2019_10-26-22-356x220.jpg","width":356,"height":220,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-356x220.jpg"},"td_356x364":{"file":"fig-06-12-2019_10-26-22-356x364.jpg","width":356,"height":364,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-356x364.jpg"},"td_533x261":{"file":"fig-06-12-2019_10-26-22-533x261.jpg","width":533,"height":261,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-533x261.jpg"},"td_534x462":{"file":"fig-06-12-2019_10-26-22-534x462.jpg","width":534,"height":462,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-534x462.jpg"},"td_696x0":{"file":"fig-06-12-2019_10-26-22-696x365.jpg","width":696,"height":365,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-696x365.jpg"},"td_696x385":{"file":"fig-06-12-2019_10-26-22-696x385.jpg","width":696,"height":385,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-696x385.jpg"},"td_741x486":{"file":"fig-06-12-2019_10-26-22-741x486.jpg","width":741,"height":486,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-741x486.jpg"},"td_1068x580":{"file":"fig-06-12-2019_10-26-22-1068x580.jpg","width":1068,"height":580,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-1068x580.jpg"},"td_1068x0":{"file":"fig-06-12-2019_10-26-22-1068x561.jpg","width":1068,"height":561,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-1068x561.jpg"},"td_0x420":{"file":"fig-06-12-2019_10-26-22-800x420.jpg","width":800,"height":420,"mime-type":"image\/jpeg","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22-800x420.jpg"}},"image_meta":{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0","keywords":[]}},"post":null,"source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2019\/12\/fig-06-12-2019_10-26-22.jpg"},"yoast_head":"\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\t\n\t\n\n\n\n