{"id":79246,"date":"2021-04-02T16:02:54","date_gmt":"2021-04-02T10:32:54","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=79246"},"modified":"2021-04-02T17:28:34","modified_gmt":"2021-04-02T11:58:34","slug":"ssc-cgl-2020-previous-year-paper","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/ssc-cgl-2020-previous-year-paper\/","title":{"rendered":"SSC CGL Previous Year Quantitative Aptitude Questions with Solutions"},"content":{"rendered":"<h1>SSC CGL TIER-1 9th March 2020 shift -3 Quantitative aptitude questions with detailed solutions.<\/h1>\n<p>SSC CGL Previous Year Quant Paper: A\u00a0 study plan for cracking the SSC CGL\u00a0 Exam must include the daily task of practising Previous Year Question Papers. <span style=\"font-size: 12pt;\">Students can attempt all four sections (General Intelligence &amp; Reasoning, General Awareness &amp; GK, Quantitative Aptitude and English Language &amp; Comprehension) and build an innovative preparation strategy to clear this exam with a high score. Here you can download <strong>SSC CGL TIER-1: 9th March 2020 Shift -3<\/strong> Quantitative aptitude questions with detailed solutions. <\/span><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/pay\/9Jf1U\" target=\"_blank\" class=\"btn btn-info \"> <strong>Get 210 Mocks @ just Rs. 299<\/strong> <\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/downloads\/12235\" target=\"_blank\" class=\"btn btn-danger  download\">Download SSC CGL Previous Year Quant Questions with Solutions<\/a><\/p>\n<p>Watch Video Explanation :<br \/>\n<iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/eGGO2I49_J4\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><br \/>\n<b>Question 1:\u00a0<\/b>The value of $\\frac{3(1 &#8211; 2 \\sin^{2}x)}{\\cos^{2}x &#8211; \\sin^{2}x}$ is:<\/p>\n<p>a)\u00a04<\/p>\n<p>b)\u00a03<\/p>\n<p>c)\u00a01<\/p>\n<p>d)\u00a02<\/p>\n<p><b>Question 2:\u00a0<\/b>The perimeter of a square plot is the same as that of a rectangular plot with sides 35 m and 15 m. The side of the square plot is:<\/p>\n<p>a)\u00a025 m<\/p>\n<p>b)\u00a020 m<\/p>\n<p>c)\u00a0100 m<\/p>\n<p>d)\u00a050 m<\/p>\n<p><b>Question 3:\u00a0<\/b>The value of $515\\times485$ is:<\/p>\n<p>a)\u00a0249775<\/p>\n<p>b)\u00a0250225<\/p>\n<p>c)\u00a020825<\/p>\n<p>d)\u00a0200825<\/p>\n<p><b>Question 4:\u00a0<\/b>The following table shows the number of students enrolled in different streams in a particular college.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/295097.png\" data-image=\"295097.png\" \/><\/figure>\n<p>The ratio of the number of girls studying Arts to the number of girls studying in all other streams is:<\/p>\n<p>a)\u00a01 : 3<\/p>\n<p>b)\u00a02 : 1<\/p>\n<p>c)\u00a01 : 2<\/p>\n<p>d)\u00a03 : 1<\/p>\n<p><b>Question 5:\u00a0<\/b>The compound interest on a certain sum at the end of two years is Rs.408. The simple interest on the same sum for the same time is Rs.400. The rate of interest per annum is:<\/p>\n<p>a)\u00a02%<\/p>\n<p>b)\u00a080%<\/p>\n<p>c)\u00a040%<\/p>\n<p>d)\u00a08%<\/p>\n<p><b>Question 6:\u00a0<\/b>A car dealer purchased an old car for Rs.1,08,500 and spent some amount on its maintenance. He sold it for Rs.1,56,250, there by earning a profit of 25%. How much money did he spend on the maintenance of the car?<\/p>\n<p>a)\u00a0Rs. 16,500<\/p>\n<p>b)\u00a0Rs. 20,625<\/p>\n<p>c)\u00a0Rs. 8,687.5<\/p>\n<p>d)\u00a0Rs. 47,750<\/p>\n<p><b>Question 7:\u00a0<\/b>The following table gives the frequency of vowels used in the page of a book.<br \/>\n<img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/295100.png\" data-image=\"295100.png\" \/><br \/>\nAs per the given data, which vowels occur less than 80 times?<\/p>\n<p>a)\u00a0a, e, i<\/p>\n<p>b)\u00a0a, i, o, u<\/p>\n<p>c)\u00a0a, o, u<\/p>\n<p>d)\u00a0a, e<\/p>\n<p><b>Question 8:\u00a0<\/b>Eight persons can finish a work in 20 days. After 5 days they were requested to complete the work in the next 8 days. How many more persons should join the group to fulfil the requirement?<\/p>\n<p>a)\u00a023<\/p>\n<p>b)\u00a015<\/p>\n<p>c)\u00a07<\/p>\n<p>d)\u00a012<\/p>\n<p><b>Question 9:\u00a0<\/b>The following table shows the income(in rupees) for a particular month, together with their source, in respect of 5 employees (A, B, C, D and E).<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/295102.png\" data-image=\"295102.png\" \/><\/figure>\n<p>For employee D, the income from overtime is what percentage of his total income?<\/p>\n<p>a)\u00a05%<\/p>\n<p>b)\u00a07.5%<\/p>\n<p>c)\u00a06.25%<\/p>\n<p>d)\u00a022.5%<\/p>\n<p><b>Question 10:\u00a0<\/b>Ina class, the average score of thirty students on a test is 69. Later on it was found that the score of one student was wrongly read as 88 instead of 58. The actual average score is:<\/p>\n<p>a)\u00a058<\/p>\n<p>b)\u00a088<\/p>\n<p>c)\u00a069<\/p>\n<p>d)\u00a068<\/p>\n<p><b>Question 11:\u00a0<\/b>PAQ is a tangent to circle with centre O, at a point A on it. AB is a chord such that $\\angle BAQ = x^\\circ(x &lt; 90)$. C is a point on the major arc AB such that $\\angle ACB = y^\\circ$. If $\\angle ABO = 32^\\circ$, then the value of $x + y$ is:<\/p>\n<p>a)\u00a098<\/p>\n<p>b)\u00a0112<\/p>\n<p>c)\u00a0110<\/p>\n<p>d)\u00a0116<\/p>\n<p><b>Question 12:\u00a0<\/b>The smallest number which may replace * in the number 1190*6 to make the number divisible by 9 is:<\/p>\n<p>a)\u00a01<\/p>\n<p>b)\u00a09<\/p>\n<p>c)\u00a03<\/p>\n<p>d)\u00a00<\/p>\n<p><b>Question 13:\u00a0<\/b>The value of $(26-13\\times2)\\div2+1$ is:<\/p>\n<p>a)\u00a0$0$<\/p>\n<p>b)\u00a0$1$<\/p>\n<p>c)\u00a0$\\frac{26}{3}$<\/p>\n<p>d)\u00a0$14$<\/p>\n<p><b>Question 14:\u00a0<\/b>The value of $\\cos 10^\\circ \\cos 30^\\circ \\cos 50^\\circ \\cos 70^\\circ \\cos 90^\\circ$ is:<\/p>\n<p>a)\u00a03<\/p>\n<p>b)\u00a00<\/p>\n<p>c)\u00a05<\/p>\n<p>d)\u00a01<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/ssc-chsl-question-papers\" target=\"_blank\" class=\"btn btn-danger \">Download SSC CHSL Previous Papers PDF<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/ssc-cgl-previous-papers\" target=\"_blank\" class=\"btn btn-info \">Download SSC CGL Previous Papers PDF<\/a><\/p>\n<p><b>Question 15:\u00a0<\/b>A cell phone was marked at 20% above the cost price and a discount of 10% was given on its marked price. What is the profit percentage?<\/p>\n<p>a)\u00a010%<\/p>\n<p>b)\u00a08%<\/p>\n<p>c)\u00a011%<\/p>\n<p>d)\u00a09%<\/p>\n<p><b>Question 16:\u00a0<\/b>The value of $(\\cosec 30^\\circ\u00a0&#8211; \\tan 45^\\circ) \\cot 60^\\circ \\tan 30^\\circ$ is:<\/p>\n<p>a)\u00a0$\\frac{1}{3}$<\/p>\n<p>b)\u00a0$1$<\/p>\n<p>c)\u00a0$3$<\/p>\n<p>d)\u00a0$\\frac{1}{\\sqrt{3}}$<\/p>\n<p><b>Question 17:\u00a0<\/b>If $x+3y+2=0$ then value of $x^{3}+27y^{3}+8-18xy$ is:<\/p>\n<p>a)\u00a0-2<\/p>\n<p>b)\u00a02<\/p>\n<p>c)\u00a01<\/p>\n<p>d)\u00a00<\/p>\n<p>Take a<a href=\"https:\/\/cracku.in\/ssc-cgl-online-mock-tests\"> free SSC CGL Tier-1 mock test<\/a><\/p>\n<p>Take a <a href=\"https:\/\/cracku.in\/ssc-chsl-mock-tests\" target=\"_blank\" rel=\"noopener noreferrer\">free SSC CHSL Tier-1 mock test<\/a><\/p>\n<p><b>Question 18:\u00a0<\/b>As per data shown in the following table, what is the percentage of students who got less than 50 marks?<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/295111.png\" data-image=\"295111.png\" \/><\/figure>\n<p>a)\u00a074%<\/p>\n<p>b)\u00a048%<\/p>\n<p>c)\u00a072%<\/p>\n<p>d)\u00a038%<\/p>\n<p><b>Question 19:\u00a0<\/b>In the triangle, If $AB = AC$ and $\\angle ABC = 72^\\circ$, then $\\angle BAC$ is:<\/p>\n<p>a)\u00a0$36^\\circ$<\/p>\n<p>b)\u00a0$30^\\circ$<\/p>\n<p>c)\u00a0$54^\\circ$<\/p>\n<p>d)\u00a0$18^\\circ$<\/p>\n<p><b>Question 20:\u00a0<\/b>In a circle, AB is a the diameter and CD is a chord. AB and CD produced meet at a point P, outside the circle. If PD = 15.3 cm, CD = 11.9 cm and AP = 30.6 cm,then the radius of the circle is is:<\/p>\n<p>a)\u00a08 cm<\/p>\n<p>b)\u00a08.5 cm<\/p>\n<p>c)\u00a09cm<\/p>\n<p>d)\u00a07.5 cm<\/p>\n<p><b>Question 21:\u00a0<\/b>From an external point P, a tangent PQ is drawn to a circle, with the centre O, touching the circle at Q. If the distance of P from the centre is 13 cm and length of the tangent PQ is 12 cm, then the radius of the circle is:<\/p>\n<p>a)\u00a03cm<\/p>\n<p>b)\u00a05 cm<\/p>\n<p>c)\u00a010 cm<\/p>\n<p>d)\u00a012.5 cm<\/p>\n<p><b>Question 22:\u00a0<\/b>If $p+q=7$ and $pq=5$, then the value of $p^{3}+q^{3}$ is:<\/p>\n<p>a)\u00a034<\/p>\n<p>b)\u00a0238<\/p>\n<p>c)\u00a0448<\/p>\n<p>d)\u00a064<\/p>\n<p><b>Question 23:\u00a0<\/b>If an amount of Rs.990 is divided among A, B and C in the ratio of 3 : 4 : 2, then B will get:<\/p>\n<p>a)\u00a0Rs. 247.5<\/p>\n<p>b)\u00a0Rs. 440<\/p>\n<p>c)\u00a0Rs. 110<\/p>\n<p>d)\u00a0Rs. 350<\/p>\n<p><b>Question 24:\u00a0<\/b>The price of cooking oil increased by 25%. Find by how much percentage a family must reduce its consumption in order to maintain the same budget?<\/p>\n<p>a)\u00a070%<\/p>\n<p>b)\u00a080%<\/p>\n<p>c)\u00a030%<\/p>\n<p>d)\u00a020%<\/p>\n<p><b>Question 25:\u00a0<\/b>The distance between two stations A and B is 575 km. A train starts from station \u2018A\u2019 at 3:00 p.m. and moves towards station \u2018B\u2019 at an average speed of 50 km\/h. Another train starts from station \u2018B\u2019 at 3:30 p.m. and moves towards station \u2018A\u2019 at an average speed of 60 km\/h. How far from station \u2018A\u2019 will the trains meet ?<\/p>\n<p>a)\u00a0275 km<\/p>\n<p>b)\u00a0325 km<\/p>\n<p>c)\u00a0300 km<\/p>\n<p>d)\u00a0225 km<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/ssc-cgl-online-mock-tests\" target=\"_blank\" class=\"btn btn-alone \">Take a free SSC CGL Tier-1 mock test<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/ssc-chsl-mock-tests\" target=\"_blank\" class=\"btn btn-primary \">Take a free SSC CHSL Tier-1 mock test<\/a><\/p>\n<p><span style=\"text-decoration: underline;\"><strong>Answers &amp; Solutions:<\/strong><\/span><\/p>\n<p><strong>1)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>$\\frac{3(1-2sin^{2}x)}{cos^{2}x-sin^{2}x}$<\/p>\n<p>=\u00a0$\\frac{3(1-2sin^{2}x)}{1-sin^{2}x-sin^{2}x}$<br \/>\n($\\because sin^{2}x +\u00a0cos^{2}x = 1$)<br \/>\n= $\\frac{3(1-2sin^{2}x)}{1-2sin^{2}x}$ = 3<\/p>\n<p><strong>2)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>The perimeter of\u00a0 a rectangular plot = 2(length + breadth) = 2(35 + 15) = 100 m<\/p>\n<p>The perimeter of a square plot = perimeter\u00a0of a rectangular plot<\/p>\n<p>The perimeter of a square plot = 100 m<\/p>\n<p>100 = 4 $\\times$ side<\/p>\n<p>side = 100\/4 = 25 m<\/p>\n<p><strong>3)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>$515\\times485$<\/p>\n<p>=\u00a0$(500 + 15)\\times(500 &#8211; 15)$<\/p>\n<p>= $(500)^2 &#8211; (15)^2$<\/p>\n<p>($\\because (a &#8211; b)(a + b) = a^2 &#8211; b^2$)<\/p>\n<p>= 250000 = 225 = 249775<\/p>\n<p><strong>4)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>Number of girls studying Arts = 45<\/p>\n<p>Number of girls studying in all other streams = 18 + 42 + 30 = 90<\/p>\n<p>The ratio of the number of girls studying Arts to the number of girls studying in all other streams = 45 :\u00a090 = 1 :\u00a02<\/p>\n<p><strong>5)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>Difference of interest = 408 &#8211; 400 = 8<\/p>\n<p>In the 2nd year, extra interest counts on the interest of the 1st year so.<\/p>\n<p>Interest = $\\frac{prt}{100}<\/p>\n<p>8 = $\\frac{400 \\times r \\times 1}{100}$<\/p>\n<p>r = 2%<\/p>\n<p><strong>6)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>Total cost price of old car =\u00a01,08,500 + maintenance money<\/p>\n<p>Selling price =\u00a01,56,250<\/p>\n<p>Profit = 25%<\/p>\n<p>Total cost price = $\\frac{156250}{125} \\times 100 = 125000<\/p>\n<p>1,08,500 + maintenance money = 125000<\/p>\n<p>Maintenance money = 125000 &#8211; 108500 = Rs. 16,500<\/p>\n<p><strong>7)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>Vowels occur less than 80 times = a, o, u<\/p>\n<p><strong>8)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>Total work = number of persons $\\times time = 8 \\times 20 = 160$<\/p>\n<p>Work done in 5 days = 8 $times 5 = 40$<\/p>\n<p>Remaining Work = 160 &#8211; 40 = 120<\/p>\n<p>According to question,<\/p>\n<p>Number of man $\\times$\u00a0time = 120<\/p>\n<p>Number of man $\\times$ 8 = 120<\/p>\n<p>Number of man = 120\/8 = 15<\/p>\n<p>Number of\u00a0persons should join the group = 15 &#8211; 8 = 7<\/p>\n<p><strong>9)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>Total income of employee D = 40000<\/p>\n<p>Income from overtime\u00a0of employee D = 2500<\/p>\n<p>Required percentage = $\\frac{2500}{40000} \\times 100 = 6.25%<\/p>\n<p><strong>10)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>When data read wrongly\u00a0then\u00a0total\u00a0score of thirty students on a test = 69 $\\times$ 30 = 2070<\/p>\n<p>(Average = sum of all terms\/number of terms)<\/p>\n<p>Difference in data = 88 &#8211; 58 = 30<\/p>\n<p>Actual score = 2070 &#8211; 30 = 2040<\/p>\n<p>Actual average score = 2040\/30 = 68<\/p>\n<p><strong>11)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>Download<a href=\"https:\/\/cracku.in\/ssc-cgl-previous-papers\"> SSC CGL Previous Papers PDF<\/a><\/p>\n<p>Download <a href=\"https:\/\/cracku.in\/ssc-chsl-question-papers\" target=\"_blank\" rel=\"noopener noreferrer\">SSC CHSL Previous Papers PDF<\/a><\/p>\n<p><strong>12)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>By the divisibility rule, if sum of\u00a0all digits of\u00a0a number is divisible by 9 the number will be divisible by 9.<\/p>\n<p>Number =1190*6<\/p>\n<p>Sum of the digits = 1 + 1+ 9 + 0 + * + 6 = 17 + *<\/p>\n<p>For the smallest number, we took the minimum value of the &#8216;*&#8217;.<\/p>\n<p>so, value of * = 1<\/p>\n<p>Sum of all digit = 17 + 1\u00a0= 18<\/p>\n<p>$\\therefore$ the value of * will be 1.<\/p>\n<p><strong>13)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>$(26-13\\times2)\\div2+1$<\/p>\n<p>=\u00a0$(26- 26)\\div2+1$ = 0 + 1 =\u00a01<\/p>\n<p><strong>14)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>$cos10^{0}cos30^{0}cos50^{0}cos70^{0}cos90^{0}$<\/p>\n<p>= $cos10^{0}cos30^{0}cos50^{0}cos70^{0}\\times 0$<\/p>\n<p>($\\because cos90^{0} = 0$)<\/p>\n<p>= 0<\/p>\n<p><strong>15)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>Let the cost price be 100.<\/p>\n<p>Marked price = 100 $\\times$ 120\/100 = 120<\/p>\n<p>Discount = 10%<\/p>\n<p>Selling price = 120 $\\times 90\/100 = 108<\/p>\n<p>Profit = 108 &#8211; 100 = 8<\/p>\n<p>Profit percentage = $\\frac{8}{100} \\times$ 100 = 8%<\/p>\n<p><strong>16)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>$(\\cosec 30^\\circ\u00a0&#8211; \\tan 45^\\circ) \\cot 60^\\circ \\tan 30^\\circ$<\/p>\n<p>On put the value,<\/p>\n<p>= $(2 &#8211; 1)\\frac{1}{\\sqrt3} \\times \\frac{1}{\\sqrt3}$<\/p>\n<p>= 1\/3<\/p>\n<p><strong>17)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>$x+3y+2=0$<\/p>\n<p>x + 3y = -2<\/p>\n<p>Taking cube both sides,<\/p>\n<p>$(x + 3y)^3 = -8$<\/p>\n<p>$x^3 + 27y^3 + 3x.3y(x +\u00a03y) = -8$<\/p>\n<p>$x^3 + 27y^3 + 9xy(-2) = -8 $<\/p>\n<p>$x^{3}+27y^{3} -18xy = -8$<\/p>\n<p>$x^{3}+27y^{3}+8-18xy$ = 0<\/p>\n<p><strong>18)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>Number\u00a0of students who got less than 50 marks = 5 + 11 + 18 + 38 = 72<\/p>\n<p>Total number of students = 5 + 11 + 18 + 38 +\u00a039 + 24 + 15 = 150<\/p>\n<p>Percentage of students who got less than 50 marks = $\\frac{72}{150} \\times 100$ = 48%<\/p>\n<p><strong>19)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/screenshot.12_NQ38n64.jpg\" data-image=\"screenshot.12.jpg\" \/><\/figure>\n<p>By triangle properties,<\/p>\n<p>When AB = AC then $\\angleABC = \\angleACB$ so,<\/p>\n<p>In$\\triangle$ ABC,<\/p>\n<p>$\\Rightarrow$ $ \\angle ABC +\u00a0 \\angle ACB +\u00a0\\angle BAC = 180^{0}$<\/p>\n<p>$\\Rightarrow \\angle ABC +\u00a0\\angle ABC\u00a0+ \\angle BAC = 180^{0}$<\/p>\n<p>$\\Rightarrow 72^{0} +\u00a072^{0} +\u00a0\\angle BAC = 180^{0}$<\/p>\n<p>$\\Rightarrow \\angle BAC =\u00a0180^{0} &#8211;\u00a0144^{0} = 36^{0}$<\/p>\n<p><strong>20)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/screenshot.15_xD8TJ5F.jpg\" data-image=\"screenshot.15.jpg\" \/><\/figure>\n<p>From the property,<\/p>\n<p>PA $\\times PB = PC \\times PD$<\/p>\n<p>30.6 $\\times PB = (PD + CD) \\times 15.3$<\/p>\n<p>30.6 $\\times PB = (15.3 +\u00a011.9) \\times 15.3$<\/p>\n<p>30.6 $\\times PB = 27,2 \\times 15.3$<\/p>\n<p>PB =\u00a0416.16\/30.6 = 13.6 cm<\/p>\n<p>Diameter (AB) =\u00a0PA &#8211; PB = 30.6 &#8211; 13.6 = 17 cm<\/p>\n<p>Radius = AB\/2 = 17\/2 = 8.5 cm<\/p>\n<p><strong>21)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/screenshot.56.jpg\" data-image=\"screenshot.56.jpg\" \/><\/figure>\n<p>$\\triangle$ OPQ is a right angle triangle because $\\angle Q = 90\\degree$,<\/p>\n<p>By Pythagoras,<\/p>\n<p>$(OQ)^2 + (PQ)^2 = (OP)^2$<\/p>\n<p>$(OQ)^2 = (13)^2 &#8211; (12)^2$<\/p>\n<p>$(OQ)^2 = 169 &#8211; 144$<\/p>\n<p>$(OQ)^2 = 25$<\/p>\n<p>$OQ = 5$<\/p>\n<p>$\\therefore$\u00a0The radius of the circle is 5 cm.<\/p>\n<p><strong>22)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>$p^{3}+q^{3} = (p + q)^3 &#8211; 3pq(p\u00a0+ q)$<\/p>\n<p>=$7^3 &#8211; 3 \\times 5(7)$<\/p>\n<p>= 343 &#8211; 105 = 238<\/p>\n<p><strong>23)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>Ratio of the A, B and C = 3 : 4 : 2<\/p>\n<p>Amount = 990<\/p>\n<p>Share of B = $\\frac{4}{3 +\u00a04 + 2} \\times 990\u00a0= \\frac{4}{9} \\times 990 = Rs.440<\/p>\n<p><strong>24)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>By the formula,<\/p>\n<p>Decrements in the consumption in order to maintain the same budget\u00a0= $\\frac{increment in the rate}{100 + increment in the rate} \\times 100$<\/p>\n<p>= $\\frac{25}{100 + 25} \\times 100 = \\frac{25}{125} \\times 100 = 20%<\/p>\n<p><strong>25)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>Distance between stations = 575 km<\/p>\n<p>Speed of train A = 50 km\/hr<\/p>\n<p>Distance covered by train A in (30 min = 1\/2 hr) = time $\\times speed = 50 \\times 1\/2 = 25 km$<\/p>\n<p>Trains are running in opposite direction so,<\/p>\n<p>Relative speed = 50 + 60 = 110 km\/hr<\/p>\n<p>Distance covered by both train = 575 &#8211; 25 = 550 km<\/p>\n<p>Time taken by both trains\u00a0to meet = 550\/110 = 5 hr<\/p>\n<p>Distance covered by train A in 5 hr =\u00a0\u00a05 $\\times 50 = 250 km$<\/p>\n<p>Distance covered by train A from station A =\u00a0distance covered by train A in 30 min\u00a0+\u00a0distance\u00a0covered by train A in 5 = 250 + 25 = 275 km<\/p>\n<p>$\\therefore$275 km\u00a0far from station \u2018A\u2019 will the trains meet.<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/t.me\/crackubanking\" target=\"_blank\" class=\"btn btn-info \">Join Exam Preparation Telegram Group<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.cracku.app&amp;hl=en\" target=\"_blank\" class=\"btn btn-warning \">Highly Rated GK App<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>SSC CGL TIER-1 9th March 2020 shift -3 Quantitative aptitude questions with detailed solutions. SSC CGL Previous Year Quant Paper: A\u00a0 study plan for cracking the SSC CGL\u00a0 Exam must include the daily task of practising Previous Year Question Papers. Students can attempt all four sections (General Intelligence &amp; Reasoning, General Awareness &amp; GK, Quantitative [&hellip;]<\/p>\n","protected":false},"author":57,"featured_media":79399,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[504],"tags":[168,462],"class_list":{"0":"post-79246","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-ssc-cgl","8":"tag-download-pdf","9":"tag-ssc-cgl"},"better_featured_image":{"id":79399,"alt_text":"SSC CGL 9th Mar 2020 Quant Questions","caption":"SSC CGL 9th Mar 2020 Quant Questions","description":"SSC CGL 9th Mar 2020 Quant 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