{"id":1618279,"date":"2021-05-24T06:57:32","date_gmt":"2021-05-24T06:57:32","guid":{"rendered":"https:\/\/rozgarpatrika.com\/questionpapers\/?p=1618279"},"modified":"2021-05-24T07:05:52","modified_gmt":"2021-05-24T07:05:52","slug":"ssc-cgl-tier-2-2017-quantitative-ability-exam-paper-held-on-21st-feb-2018","status":"publish","type":"post","link":"https:\/\/rozgarpatrika.com\/questionpapers\/ssc-cgl-tier-2-2017-quantitative-ability-exam-paper-held-on-21st-feb-2018\/","title":{"rendered":"SSC CGL (Tier-2) 2017 Quantitative Ability Exam Paper Held on 21st Feb 2018"},"content":{"rendered":"<h2 style=\"text-align: center;\"><strong><span style=\"color: #ff6600;\">Quantitative Ability<\/span> Question Papers<\/strong><br \/>\n<strong>21st February 2018 (Morning Shift)<\/strong><br \/>\n<strong>CGL (Tier-2) 2017<\/strong><\/h2>\n<hr \/>\n<p>&nbsp;<\/p>\n<p>Question: 1 &#8211; If A = 1 \u2013 10 + 3 \u2013 12 + 5 \u2013 14 + 7 + \u2026 upto 60 terms, then what is the value of A?<br \/>\nOptions:<br \/>\n1) \u2013 360<br \/>\n2) \u2013 310<br \/>\n3) \u2013 240<br \/>\n4) \u2013 270<br \/>\nCorrect Answer: \u2013 270<\/p>\n<p>Question: 2 &#8211; How many natural numbers are there between 1000 to 2000, which when divided by 341 leaves remainder 5?<br \/>\nOptions:<br \/>\n1) 3<br \/>\n2) 2<br \/>\n3) 4<br \/>\n4) 1<br \/>\nCorrect Answer: 3<\/p>\n<p>Question: 3 &#8211; Which of the following statement(s) is\/are TRUE?<br \/>\nI. \u221a(64) + \u221a(0.0064) + \u221a(0.81) + \u221a(0.0081) = 9.07<br \/>\nII. \u221a(0.010201) + \u221a(98.01) + \u221a(0.25) = 11.51<br \/>\nOptions:<br \/>\n1) Only I<br \/>\n2) Only II<br \/>\n3) Both I and II<br \/>\n4) Neither I nor II<br \/>\nCorrect Answer: Only I<\/p>\n<p>Question: 4 &#8211; Which of the following statement(s) is\/are TRUE?<br \/>\nI. (0.7)2 + (0.07)2 + (11.1)2 &gt; 123.8<br \/>\nII. (1.12)2 + (10.3)2 + (1.05)2 &gt; 108.3<br \/>\nOptions:<br \/>\n1) Only I<br \/>\n2) Only II<br \/>\n3) Both I and II<br \/>\n4) Neither I nor II<br \/>\nCorrect Answer: Only II<\/p>\n<p>Question: 5 &#8211;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1618282\" src=\"https:\/\/rozgarpatrika.com\/questionpapers\/wp-content\/uploads\/2021\/05\/ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-5.jpg\" alt=\"ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-5\" width=\"477\" height=\"399\" \/><\/p>\n<p>Options:<br \/>\n1) Only I<br \/>\n2) Only II<br \/>\n3) Both I and II<br \/>\n4) Neither I nor II<br \/>\nCorrect Answer: Only II<\/p>\n<p>Question: 6 &#8211; Which of the following statement(s) is\/are TRUE?<br \/>\nI. 3\/71 &lt; 5\/91 &lt; 7\/99 II. 11\/135 &gt; 12\/157 &gt; 13\/181<br \/>\nOptions:<br \/>\n1) Only I<br \/>\n2) Only II<br \/>\n3) Both I and II<br \/>\n4) Neither I nor II<br \/>\nCorrect Answer: Both I and II<\/p>\n<p>Question: 7 &#8211; If 1 + (1\/2) + (1\/3) + \u2026 + (1\/20) = k, then what is the value of (1\/4) + (1\/6) + (1\/8) + \u2026 + (1\/40)?<br \/>\nOptions:<br \/>\n1) k\/2<br \/>\n2) 2k<br \/>\n3) (k \u2013 1)\/2<br \/>\n4) (k + 1)\/2<br \/>\nCorrect Answer: (k \u2013 1)\/2<\/p>\n<p>Question: 8 &#8211; If A = 232, B = 231 + 230 + 229 + \u2026 + 2o and C = 315 + 314 + 313 + \u2026 + 3o, then which of the following option is TRUE?<br \/>\nOptions:<br \/>\n1) C &gt; B &gt; A<br \/>\n2) C &gt; A &gt; B<br \/>\n3) A &gt; B &gt; C<br \/>\n4) A &gt; C &gt; B<br \/>\nCorrect Answer: C &gt; A &gt; B<\/p>\n<p>Question: 9 &#8211; If x + y = 10 and xy = 4, then what is the value of x4 + y4?<br \/>\nOptions:<br \/>\n1) 8464<br \/>\n2) 8432<br \/>\n3) 7478<br \/>\n4) 6218<br \/>\nCorrect Answer: 8432<\/p>\n<p>Question: 10 &#8211; M is the largest three digit number which when divided by 6 and 5 leaves remainder 5 and 3 respectively. What will be the remainder when M is divided by 11?<br \/>\nOptions:<br \/>\n1) 1<br \/>\n2) 2<br \/>\n3) 3<br \/>\n4) 4<br \/>\nCorrect Answer: 4<\/p>\n<p>Question: 11 &#8211; Which of the following statement(s) is\/are TRUE?<br \/>\nI. \u221a5 + \u221a5 &gt; \u221a7 + \u221a3<br \/>\nII. \u221a6 + \u221a7 &gt; \u221a8 + \u221a5<br \/>\nIII. \u221a3 + \u221a9 &gt; \u221a6 + \u221a6<br \/>\nOptions:<br \/>\n1) Only I<br \/>\n2) Only I and II<br \/>\n3) Only II and III<br \/>\n4) Only I and III<br \/>\nCorrect Answer: Only I and II<\/p>\n<p>Question: 12 &#8211;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1618284\" src=\"https:\/\/rozgarpatrika.com\/questionpapers\/wp-content\/uploads\/2021\/05\/ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-12.jpg\" alt=\"ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-12\" width=\"413\" height=\"254\" \/><\/p>\n<p>Options:<br \/>\n1) 97<br \/>\n2) (2\u221a3) + 2<br \/>\n3) (4\u221a6) + 1<br \/>\n4) 98<br \/>\nCorrect Answer: 97<\/p>\n<p>Question: 13 &#8211; If the difference between the roots of the equation Ax2 \u2013 Bx + C = 0 is 4, then which of the following is TRUE?<br \/>\nOptions:<br \/>\n1) B2 \u2013 16A2 = 4AC + 4B2<br \/>\n2) B2 \u2013 10A2 = 4AC + 6A2<br \/>\n3) B2 \u2013 8A2 = 4AC + 10A2<br \/>\n4) B2 \u2013 16A2 = 4AC + 8B2<br \/>\nCorrect Answer: B2 \u2013 10A2 = 4AC + 6A2<\/p>\n<p>Question: 14 &#8211; \u03b1 and \u03b2 are the roots of quadratic equation. If \u03b1 + \u03b2 = 8 and \u03b1 \u2013 \u03b2 = 2\u221a5, then which of the following equation will have roots \u03b14 and \u03b24?<br \/>\nOptions:<br \/>\n1) x2 \u2013 1522x + 14641 = 0<br \/>\n2) x2 + 1921x + 14641 = 0<br \/>\n3) x2\u2013 1764x + 14641 = 0<br \/>\n4) x2+ 2520x + 14641 = 0<br \/>\nCorrect Answer: x2 \u2013 1522x + 14641 = 0<\/p>\n<p>Question: 15 &#8211; If a and b are the roots of the equation Px2 \u2013 Qx + R = 0, then what is the value of (1\/a2) + (1\/b2) + (a\/b) + (b\/a)?<br \/>\nOptions:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1618285\" src=\"https:\/\/rozgarpatrika.com\/questionpapers\/wp-content\/uploads\/2021\/05\/ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-15.jpg\" alt=\"ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-15\" width=\"258\" height=\"457\" \/><\/p>\n<p>Question: 16 &#8211; If x2 \u2013 16x \u2013 59 = 0, then what is the value of (x \u2013 6)2 + [1\/(x \u2013 6)2]?<br \/>\nOptions:<br \/>\n1) 14<br \/>\n2) 18<br \/>\n3) 16<br \/>\n4) 20<br \/>\nCorrect Answer: 18<\/p>\n<p>Question: 17 &#8211; If A and B are the roots of the equation Ax2 \u2013 A2x + AB = 0, then what is the value of A and B respectively?<br \/>\nOptions:<br \/>\n1) 1, 0<br \/>\n2) 1, 1<br \/>\n3) 0, 2<br \/>\n4) 0, 1<br \/>\nCorrect Answer: 1, 0<\/p>\n<p>Question: 18 &#8211; \u03b1 and \u03b2 are the roots of the quadratic equation x2 \u2013 x \u2013 1 = 0. What is the value of \u03b12 + \u03b22?<br \/>\nOptions:<br \/>\n1) 47<br \/>\n2) 54<br \/>\n3) 59<br \/>\n4) 68<br \/>\nCorrect Answer: 47<\/p>\n<p>Question: 19 &#8211; If a + b + c = 9, ab + bc + ca = 26, a3 + b3= 91, b3 + c3 = 72 and c3 + a3 = 35, then what is the value of abc?<br \/>\nOptions:<br \/>\n1) 48<br \/>\n2) 24<br \/>\n3) 36<br \/>\n4) 42<br \/>\nCorrect Answer: 24<\/p>\n<p>Question: 20 &#8211; If x3 \u2013 4&#215;2 + 19 = 6(x \u2013 1), then what is the value of [x2 + (1\/x \u2013 4)]?<br \/>\nOptions:<br \/>\n1) 3<br \/>\n2) 5<br \/>\n3) 6<br \/>\n4) 8<br \/>\nCorrect Answer: 6<\/p>\n<p>Question: 21 &#8211; Cost of 8 pencils, 5 pens and 3 erasers is Rs 111. Cost of 9 pencils, 6 pens and 5 erasers is Rs 130. Cost of 16 pencils, 11 pens and 3 erasers is Rs 221. What is the cost (in Rs) of 39 pencils, 26 pens and 13 erasers?<br \/>\nOptions:<br \/>\n1) 316<br \/>\n2) 546<br \/>\n3) 624<br \/>\n4) 482<br \/>\nCorrect Answer: 546<\/p>\n<p>Question: 22 &#8211; If 2x + 3y \u2013 5z = 18, 3x + 2y + z = 29 and x + y + 3z = 17, then what is the value of xy + yz + zx?<br \/>\nOptions:<br \/>\n1) 32<br \/>\n2) 52<br \/>\n3) 64<br \/>\n4) 46<br \/>\nCorrect Answer: 52<\/p>\n<p>Question: 23 &#8211; PQR is an equilateral triangle whose side is 10 cm. What is the value (in cm) of the inradius of triangle PQR?<br \/>\nOptions:<br \/>\n1) 5\/\u221a3<br \/>\n2) 10\u221a3<br \/>\n3) 10\/\u221a3<br \/>\n4) 5\u221a2<br \/>\nCorrect Answer: 5\/\u221a3<\/p>\n<p>Question: 24 &#8211; What is the area (in cm2) of the circumcircle of a triangle whose sides are 6 cm, 8 cm and 10 cm respectively?<br \/>\nOptions:<br \/>\n1) 275\/7<br \/>\n2) 550\/7<br \/>\n3) 2200\/7<br \/>\n4) 1100\/7<br \/>\nCorrect Answer: 550\/7<\/p>\n<p>Question: 25 &#8211;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1618286\" src=\"https:\/\/rozgarpatrika.com\/questionpapers\/wp-content\/uploads\/2021\/05\/ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-25.jpg\" alt=\"ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-25\" width=\"469\" height=\"612\" \/><\/p>\n<p>Options:<br \/>\n1) 21.4<br \/>\n2) 22.5<br \/>\n3) 23.8<br \/>\n4) 24.5<br \/>\nCorrect Answer: 22.5<\/p>\n<p>Question: 26 &#8211; ABCD is a trapezium in which AB is parallel to CD and AB = 4(CD). The diagonals of the trapezium intersects at O. What is the ratio of area of triangle DCO to the area of the triangle ABO?<br \/>\nOptions:<br \/>\n1) 1 : 4<br \/>\n2) 1 : 2<br \/>\n3) 1 : 8<br \/>\n4) 1 : 16<br \/>\nCorrect Answer: 1 : 16<\/p>\n<p>Question: 27 &#8211;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1618287\" src=\"https:\/\/rozgarpatrika.com\/questionpapers\/wp-content\/uploads\/2021\/05\/ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-27.jpg\" alt=\"ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-27\" width=\"476\" height=\"566\" \/><\/p>\n<p>Options:<br \/>\n1) 32\/\u221a3<br \/>\n2) 32\u221a3<br \/>\n3) 64\/\u221a3<br \/>\n4) 64\u221a2<br \/>\nCorrect Answer: [ No Correct Answer ]<\/p>\n<p>Question: 28 &#8211;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1618288\" src=\"https:\/\/rozgarpatrika.com\/questionpapers\/wp-content\/uploads\/2021\/05\/ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-28.jpg\" alt=\"ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-28\" width=\"479\" height=\"552\" \/><\/p>\n<p>Options:<br \/>\n1) 6<br \/>\n2) 5<br \/>\n3) 4<br \/>\n4) 3<br \/>\nCorrect Answer: 3<\/p>\n<p>Question: 29 &#8211; PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and PC = 11 cm, then what is the value (in cm) of PD?<br \/>\nOptions:<br \/>\n1) 18<br \/>\n2) 9<br \/>\n3) 20<br \/>\n4) 12<br \/>\nCorrect Answer: 20<\/p>\n<p>Question: 30 &#8211; Triangle PQR is inscribed in a circle such that P, Q and R lie on the circumference. If PQ is the diameter of the circle and \u2220PQR = 40\u00b0, then what is the value (in degrees) of \u2220QPR?<br \/>\nOptions:<br \/>\n1) 40<br \/>\n2) 45<br \/>\n3) 50<br \/>\n4) 55<br \/>\nCorrect Answer: 50<\/p>\n<p>Question: 31 &#8211;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1618289\" src=\"https:\/\/rozgarpatrika.com\/questionpapers\/wp-content\/uploads\/2021\/05\/ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-31.jpg\" alt=\"ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-31\" width=\"468\" height=\"510\" \/><\/p>\n<p>Options:<br \/>\n1) 85<br \/>\n2) 95<br \/>\n3) 75<br \/>\n4) 90<br \/>\nCorrect Answer: 95<\/p>\n<p>Question: 32 &#8211; What can be the maximum number of common tangent which can be drawn to two non-intersecting circles?<br \/>\nOptions:<br \/>\n1) 2<br \/>\n2) 4<br \/>\n3) 3<br \/>\n4) 6<br \/>\nCorrect Answer: 4<\/p>\n<p>Question: 33 &#8211; Triangle PQR is inscribed in the circle whose radius is 14 cm. If PQ is the diameter of the circle and PR = 10 cm, then what is the area of the triangle PQR?<br \/>\nOptions:<br \/>\n1) 196<br \/>\n2) 30\u221a19<br \/>\n3) 40\u221a17<br \/>\n4) 35\u221a21<br \/>\nCorrect Answer: 30\u221a19<\/p>\n<p>Question: 34 &#8211; PQR is a right angled triangle in which PQ = QR. If the hypotenuse of the triangle is 20 cm, then what is the area (in cm2) of the triangle PQR?<br \/>\nOptions:<br \/>\n1) 100\u221a2<br \/>\n2) 100<br \/>\n3) 50\u221a2<br \/>\n4) 50<br \/>\nCorrect Answer: 100<\/p>\n<p>Question: 35 &#8211; PQRS is a square whose side is 20 cm. By joining opposite vertices of PQRS are get four triangles. What is the sum of the perimeters of the four triangles?<br \/>\nOptions:<br \/>\n1) 40\u221a2<br \/>\n2) 80\u221a2 + 80<br \/>\n3) 40\u221a2 + 40<br \/>\n4) 40\u221a2 + 80<br \/>\nCorrect Answer: 80\u221a2 + 80<\/p>\n<p>Question: 36 &#8211; If ABCDEF is a regular hexagon, then what is the value (in degrees) of \u2220ADB?<br \/>\nOptions:<br \/>\n1) 15<br \/>\n2) 30<br \/>\n3) 45<br \/>\n4) 60<br \/>\nCorrect Answer: 30<\/p>\n<p>Question: 37 &#8211; ABCD is square and CDE is an equilateral triangle outside the square. What is the value (in degrees) of \u2220BEC?<br \/>\nOptions:<br \/>\n1) 15<br \/>\n2) 30<br \/>\n3) 25<br \/>\n4) 10<br \/>\nCorrect Answer: 15<\/p>\n<p>Question: 38 &#8211; There is a circular garden of radius 21 metres. A path of width 3.5 metres is constructed just outside the garden. What is the area (in metres2) of the path?<br \/>\nOptions:<br \/>\n1) 50.05<br \/>\n2) 57.56<br \/>\n3) 52.12<br \/>\n4) 56.07<br \/>\nCorrect Answer: [ No Correct Answer ]<\/p>\n<p>Question: 39 &#8211;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1618290\" src=\"https:\/\/rozgarpatrika.com\/questionpapers\/wp-content\/uploads\/2021\/05\/ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-39.jpg\" alt=\"ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-39\" width=\"456\" height=\"573\" \/><\/p>\n<p>Options:<br \/>\n1) 13\/17<br \/>\n2) 11\/14<br \/>\n3) 19\/31<br \/>\n4) 15\/19<br \/>\nCorrect Answer: 11\/14<\/p>\n<p>Question: 40 &#8211; The base of a prism is in the shape of an equilateral triangle. If the perimeter of the base is 18 cm and the height of the prism is 20 cm, then what is the volume (in cm3) of the prism?<br \/>\nOptions:<br \/>\n1) 60\u221a3<br \/>\n2) 30\u221a6<br \/>\n3) 60\u221a2<br \/>\n4) 120\u221a3<br \/>\nCorrect Answer: [ No Correct Answer ]<\/p>\n<p>Question: 41 &#8211; The height of a cone is 24 cm and the area of the base is 154 cm2. What is the curved surface area (in cm2) of the cone?<br \/>\nOptions:<br \/>\n1) 484<br \/>\n2) 550<br \/>\n3) 525<br \/>\n4) 515<br \/>\nCorrect Answer: 550<\/p>\n<p>Question: 42 &#8211; A right circular solid cylinder has radius of base 7 cm and height is 28 cm. It is melted to form a cuboid such that the ratio of its side is 2 : 3 : 6. What is the total surface area (in cm2) cuboid?<br \/>\nOptions:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1618291\" src=\"https:\/\/rozgarpatrika.com\/questionpapers\/wp-content\/uploads\/2021\/05\/ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-42.jpg\" alt=\"ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-42\" width=\"257\" height=\"415\" \/><\/p>\n<p>Question: 43 &#8211; A right circular cylinder is formed. A = sum of total surface area and the area of the two bases. B = the curved surface area of this cylinder. If A : B = 3 : 2 and the volume of cylinder is 4312 cm3, then what is the sum of area (in cm2) of the two bases of this cylinder?<br \/>\nOptions:<br \/>\n1) 154<br \/>\n2) 308<br \/>\n3) 462<br \/>\n4) 616<br \/>\nCorrect Answer: 308<\/p>\n<p>Question: 44 &#8211; A solid sphere has a radius 21 cm. It is melted to form a cube. 20% material is wasted in this process. The cube is melted to form hemisphere. In this process 20% material is wasted. The hemisphere is melted to form two spheres of equal radius. 20% material was also wasted in this process. What is the radius (in cm) of each new sphere?<br \/>\nOptions:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1618292\" src=\"https:\/\/rozgarpatrika.com\/questionpapers\/wp-content\/uploads\/2021\/05\/ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-44.jpg\" alt=\"ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-44\" width=\"121\" height=\"372\" \/><\/p>\n<p>Question: 45 &#8211; A solid hemisphere has radius 14 cm. It is melted to form a cylinder such that the ratio of its curved surface area and total surface area is 2 : 3. What is the radius (in cm) of its base?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1618293\" src=\"https:\/\/rozgarpatrika.com\/questionpapers\/wp-content\/uploads\/2021\/05\/ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-45.jpg\" alt=\"ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-45\" width=\"118\" height=\"442\" \/><\/p>\n<p>Question: 46 &#8211; A cuboid has dimensions 8 cm x 10 cm x 12 cm. It is cut into small cubes of side 2 cm. What is the percentage increase in the total surface area?<br \/>\nOptions:<br \/>\n1) 286.2<br \/>\n2) 314.32<br \/>\n3) 250.64<br \/>\n4) 386.5<br \/>\nCorrect Answer: 386.5<\/p>\n<p>Question: 47 &#8211; A pyramid has a square base. The side of square is 12 cm and height of pyramid is 21 cm. The pyramid is cut into 3 parts by 2 cuts parallel to its base. The cuts are at height of 7 cm and 14 cm respectively from the base. What is the difference (in cm3) in the volume of top most and bottom most part?<br \/>\nOptions:<br \/>\n1) 872<br \/>\n2) 944<br \/>\n3) 786<br \/>\n4) 918<\/p>\n<p>Question: 48 &#8211; What is the value of {(sin 4x + sin 4y) [(tan 2x \u2013 2y)]}\/(sin 4x \u2013 sin 4y)?<br \/>\nOptions:<br \/>\n1) tan 2 (2x + 2y)<br \/>\n2) tan2<br \/>\n3) cot (x \u2013 y)<br \/>\n4) tan (2x + 2y)<br \/>\nCorrect Answer: tan (2x + 2y)<\/p>\n<p>Question: 49 &#8211; What is the value of (32 cos6 x \u2013 48 cos4 x + 18 cos2 x \u2013 1)\/[4 sin x cos x sin (60 \u2013 x) cos (60 \u2013 x) sin (60 + x) cos (60 + x)]?<br \/>\nOptions:<br \/>\n1) 4 tan 6x<br \/>\n2) 4 cot 6x<br \/>\n3) 8 cot 6x<br \/>\n4) 8 tan 6x<br \/>\nCorrect Answer: 8 cot 6x<\/p>\n<p>Question: 50 &#8211; What is the value of [2 cot \u00d7 (p \u2013 A)\/2]\/[1 + tan2 \u00d7 (2p \u2013 A)\/2]?<br \/>\nOptions:<br \/>\n1) 2 sin2 A\/2<br \/>\n2) cos A<br \/>\n3) sin A<br \/>\n4) 2 cos2 A\/2<br \/>\nCorrect Answer: sin A<\/p>\n<p>Question: 51 &#8211; If tan \u03b8 + sec \u03b8 = (x \u2013 2)\/(x + 2), then what is the value of cos \u03b8?<br \/>\nOptions:<br \/>\n1) (x2 \u2013 1)\/(x2 + 1)<br \/>\n2) (2&#215;2 \u2013 4)\/(2&#215;2 + 4)<br \/>\n3) (x2 \u2013 4)\/(x2 + 4)<br \/>\n4) (x2 \u2013 2)\/(x2 + 2)<br \/>\nCorrect Answer: (x2 \u2013 4)\/(x2 + 4)<\/p>\n<p>Question: 52 &#8211; What is the value of (cos 40\u00b0 \u2013 cos 140\u00b0)\/(sin 80\u00b0 + sin 20\u00b0)?<br \/>\nOptions:<br \/>\n1) 2\u221a3<br \/>\n2) 2\/\u221a3<br \/>\n3) 1\/\u221a3<br \/>\n4) \u221a3<br \/>\nCorrect Answer: 2\/\u221a3<\/p>\n<p>Question: 53 &#8211; What is the value of [1 \u2013 tan (90 \u2013 \u03b8) + sec (90 \u2013 \u03b8)]\/[tan (90 \u2013 \u03b8) + sec (90 \u2013 \u03b8) + 1]?<br \/>\nOptions:<br \/>\n1) cot (\u03b8\/2)<br \/>\n2) tan (\u03b8\/2)<br \/>\n3) sin \u03b8<br \/>\n4) cos \u03b8<br \/>\nCorrect Answer: tan (\u03b8\/2)<\/p>\n<p>Question: 54 &#8211; What is the value of [sin (90 \u2013 A) + cos (180 \u2013 2A)]\/[cos (90 \u2013 2A) + sin (180 \u2013 A)]?<br \/>\nOptions:<br \/>\n1) sin (A\/2) cos A<br \/>\n2) cot (A\/2)<br \/>\n3) tan (A\/2)<br \/>\n4) sin A cos (A\/2)<br \/>\nCorrect Answer: tan (A\/2)<\/p>\n<p>Question: 55 &#8211; The distance between the tops of two building 38 metres and 58 metres high is 52 metres. What will be the distance (in metres) between two buildings?<br \/>\nOptions:<br \/>\n1) 46<br \/>\n2) 42<br \/>\n3) 44<br \/>\n4) 48<br \/>\nCorrect Answer: 48<\/p>\n<p>Question: 56 &#8211; The angles of elevation of the top of a tree 220 meters high from two points lie on the same plane are 30\u00b0 and 45\u00b0. What is the distance (in metres) between the two points?<br \/>\nOptions:<br \/>\n1) 193.22<br \/>\n2) 144.04<br \/>\n3) 176.12<br \/>\n4) 161.05<br \/>\nCorrect Answer: 161.05<\/p>\n<p>Question: 57 &#8211; The angles of elevation of the top of a tower 72 metre high from the top and bottom of a building are 30\u00b0 and 60\u00b0 respectively. What is the height (in metres) of building?<br \/>\nOptions:<br \/>\n1) 42<br \/>\n2) 20\u221a3<br \/>\n3) 24\u221a3<br \/>\n4) 48<br \/>\nCorrect Answer: 48<\/p>\n<p>Question: 58 &#8211; What is the difference between the number of students who were present in Physics and Biology examination from school N?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1618294\" src=\"https:\/\/rozgarpatrika.com\/questionpapers\/wp-content\/uploads\/2021\/05\/ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-58-62.jpg\" alt=\"ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-58-62\" width=\"472\" height=\"619\" \/><br \/>\nOptions:<br \/>\n1) 21150<br \/>\n2) 14352<br \/>\n3) 22594<br \/>\n4) 24250<br \/>\nCorrect Answer: 22594<\/p>\n<p>Question: 59 &#8211; Number of students who were present in Physics examination from school M is what percent of number of students who were absent from school M, L and O?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1618294\" src=\"https:\/\/rozgarpatrika.com\/questionpapers\/wp-content\/uploads\/2021\/05\/ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-58-62.jpg\" alt=\"ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-58-62\" width=\"472\" height=\"619\" \/><br \/>\nOptions:<br \/>\n1) 22.48<br \/>\n2) 29.28<br \/>\n3) 9.09<br \/>\n4) 13.4<br \/>\nCorrect Answer: [ No Correct Answer ]<\/p>\n<p>Question: 60 &#8211; What is the average of the number of the students who were present in Physics examination from school N, K and L?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1618294\" src=\"https:\/\/rozgarpatrika.com\/questionpapers\/wp-content\/uploads\/2021\/05\/ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-58-62.jpg\" alt=\"ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-58-62\" width=\"472\" height=\"619\" \/><br \/>\nOptions:<br \/>\n1) 109635<br \/>\n2) 84632<br \/>\n3) 74365<br \/>\n4) 67894<br \/>\nCorrect Answer: [ No Correct Answer ]<\/p>\n<p>Question: 61 &#8211; What are the total number of students who were present in the Biology examination from all the schools together?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1618294\" src=\"https:\/\/rozgarpatrika.com\/questionpapers\/wp-content\/uploads\/2021\/05\/ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-58-62.jpg\" alt=\"ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-58-62\" width=\"472\" height=\"619\" \/><br \/>\nOptions:<br \/>\n1) 193462<br \/>\n2) 249048<br \/>\n3) 326438<br \/>\n4) 211738<br \/>\nCorrect Answer: [ No Correct Answer ]<\/p>\n<p>Question: 62 &#8211; If the number of students who were present in the Physics examination from school A is 250% of the difference of the number of the students who were present in Physics and Biology examination, from school K, then what is the ratio of the number of students who were present from school L to number of students who were present in Physics examination from school A?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1618294\" src=\"https:\/\/rozgarpatrika.com\/questionpapers\/wp-content\/uploads\/2021\/05\/ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-58-62.jpg\" alt=\"ssc-cgl-tier-2-exam-2017-held-on-21-feb-2018-morning-shift-quantitative-ability-q-id-58-62\" width=\"472\" height=\"619\" \/><br \/>\nOptions:<br \/>\n1) 5079 : 4631<br \/>\n2) 1692 : 1547<br \/>\n3) 1547 : 4631<br \/>\n4) 1692 : 2345<br \/>\nCorrect Answer: 1692 : 1547<\/p>\n<p>Question: 63 &#8211; A jar contains a blend of a fruit juice and water in the ratio 5 : x. When 1 litre of water is added to 4 litres of the blend the ratio of fruit juice to water becomes 1 : 1. What is the value of x?<br \/>\nOptions:<br \/>\n1) 3<br \/>\n2) 1<br \/>\n3) 2<br \/>\n4) 4<br \/>\nCorrect Answer: 3<\/p>\n<p>Question: 64 &#8211; An alloy contains copper and tin in the ratio 3 : 2. If 250 gm of copper is added to this alloy then the copper in it becomes double the quantity of tin in it. What is the amount (in gm) of tin in the alloy?<br \/>\nOptions:<br \/>\n1) 250<br \/>\n2) 750<br \/>\n3) 1000<br \/>\n4) 500<br \/>\nCorrect Answer: 500<\/p>\n<p>Question: 65 &#8211; A starts a cement trading business by investing Rs 5 lakhs. After 2 months, B joins the business by investing Rs 10 lakhs and then 4 months after B joined C too joins them by investing Rs 20 lakhs. 1 year after A started the business they make Rs 3,50,000 in profit. What is B&#8217;s share of the profit (in Rs)?<br \/>\nOptions:<br \/>\n1) 75000<br \/>\n2) 1,25,000<br \/>\n3) 1,50,000<br \/>\n4) 1,00,000<br \/>\nCorrect Answer: 1,25,000<\/p>\n<p>Question: 66 &#8211; A, B and C invest in a business in the ratio 3 : 6 : 5. A and C are working partners. Only B is a sleeping partner hence his share will be 3\/4th of what it would have been if he were a working partner. If they make Rs 50,000 profit, half of which is reinvested in the business and the other half is distributed between the partners, then how much does C get (in Rs)?<br \/>\nOptions:<br \/>\n1) 20000<br \/>\n2) 6000<br \/>\n3) 10000<br \/>\n4) 9000<br \/>\nCorrect Answer: 10000<\/p>\n<p>Question: 67 &#8211; A can do a work in 21 days and B in 42 days. If they work on it together for 7 days, then what fraction of work is left?<br \/>\nOptions:<br \/>\n1) 1\/3<br \/>\n2) 1\/4<br \/>\n3) 2\/3<br \/>\n4) 1\/2<br \/>\nCorrect Answer: 1\/2<\/p>\n<p>Question: 68 &#8211; A can paint a house in 55 days and B can do it in 66 days. Along with C, they did the job in 12 days only. Then, C alone can do the job in how many days?<br \/>\nOptions:<br \/>\n1) 24<br \/>\n2) 44<br \/>\n3) 33<br \/>\n4) 20<br \/>\nCorrect Answer: 20<\/p>\n<p>Question: 69 &#8211; A, B and C together can finish a task in 12 days. A is twice as productive as B and C alone can do the task in 36 days. In how many days can A and B do the task if C goes on leave?<br \/>\nOptions:<br \/>\n1) 10<br \/>\n2) 20<br \/>\n3) 15<br \/>\n4) 18<br \/>\nCorrect Answer: 18<\/p>\n<p>Question: 70 &#8211; A, B and C can together do a job in 9 days. C alone can do the job in 36 days. In how many days can A and B do 50% of the job working together?<br \/>\nOptions:<br \/>\n1) 6<br \/>\n2) 12<br \/>\n3) 9<br \/>\n4) 15<br \/>\nCorrect Answer: 6<\/p>\n<p>Question: 71 &#8211; Giving two successive discounts of 25% is equal to giving one discount of ________%.<br \/>\nOptions:<br \/>\n1) 43.75<br \/>\n2) 56.25<br \/>\n3) 50<br \/>\n4) 45<br \/>\nCorrect Answer: 43.75<\/p>\n<p>Question: 72 &#8211; If a watch is being sold at Rs 7,225 which is marked at Rs 8,500, then what is the discount (in %) at which the watch is being sold?<br \/>\nOptions:<br \/>\n1) 24<br \/>\n2) 15<br \/>\n3) 25<br \/>\n4) 20<br \/>\nCorrect Answer: 15<\/p>\n<p>Question: 73 &#8211; On a machine there is 10% trade discount on the marked price of Rs 2,50,000. But the machine is sold at Rs 2,16,000 after giving a cash discount. How much is this cash discount (in %)?<br \/>\nOptions:<br \/>\n1) 5<br \/>\n2) 4<br \/>\n3) 6<br \/>\n4) 7<br \/>\nCorrect Answer: 4<\/p>\n<p>Question: 74 &#8211; A trader marks up his goods by 120% and offers 30% discount. What will be the selling price (in Rs) if the cost price is Rs 750?<br \/>\nOptions:<br \/>\n1) 1225<br \/>\n2) 1080<br \/>\n3) 1280<br \/>\n4) 1155<br \/>\nCorrect Answer: 1155<\/p>\n<p>Question: 75 &#8211; Sanjay&#8217;s test marks in two subjects, English and Hindi are in the ratio 7 : 11. If he got 20 marks more in Hindi than in English, what are his marks in English?<br \/>\nOptions:<br \/>\n1) 35<br \/>\n2) 55<br \/>\n3) 45<br \/>\n4) 65<br \/>\nCorrect Answer: 35<\/p>\n<p>Question: 76 &#8211; The ratio of present ages of Simi and Seema is 5 : 4. After 9 years the ratio of their ages will be 8 : 7. What is Simi&#8217;s present age (in years)?<br \/>\nOptions:<br \/>\n1) 12<br \/>\n2) 15<br \/>\n3) 24<br \/>\n4) 21<br \/>\nCorrect Answer: 15<\/p>\n<p>Question: 77 &#8211; Find the third proportional to 6 and 12.<br \/>\nOptions:<br \/>\n1) 18<br \/>\n2) 9<br \/>\n3) 24<br \/>\n4) 15<br \/>\nCorrect Answer: 24<\/p>\n<p>Question: 78 &#8211; According to the will the wealth of Rs 21,25,000 was to be divided between the son and the daughter in the ratio 7\/6 : 5\/3. How much did the son get (in Rs)?<br \/>\nOptions:<br \/>\n1) 875000<br \/>\n2) 12,50,000<br \/>\n3) 10,00,000<br \/>\n4) 11,25,000<br \/>\nCorrect Answer: 875000<\/p>\n<p>Question: 79 &#8211; If Rs 25,000 is to be divided between A, B and C in the ratio 1\/10 : 1\/6 : 1\/15, then how much will C get (in Rs)?<br \/>\nOptions:<br \/>\n1) 5000<br \/>\n2) 7500<br \/>\n3) 10000<br \/>\n4) 12500<br \/>\nCorrect Answer: 5000<\/p>\n<p>Question: 80 &#8211; Rizwan has a box in which he kept red and blue marbles. The red marbles and blue marbles were in the ratio 5 : 4. After he lost 5 red marbles the ratio became 10 : 9. How many marbles does he have now?<br \/>\nOptions:<br \/>\n1) 81<br \/>\n2) 86<br \/>\n3) 76<br \/>\n4) 91<br \/>\nCorrect Answer: 76<\/p>\n<p>Question: 81 &#8211; The average weight of L, M and N is 93 kg. If the average weight of L and M be 89 kg and that of M and N be 96.5 kg, then the weight (in kg) of M is ________.<br \/>\nOptions:<br \/>\n1) 92<br \/>\n2) 86<br \/>\n3) 101<br \/>\n4) 95<br \/>\nCorrect Answer: 92<\/p>\n<p>Question: 82 &#8211; Mahesh buys 3 shirts at an average price of Rs 1250. If he buys 2 more shirts at an average price of Rs 1450 what will be the average price (in Rs) of all the 5 shirts he buys?<br \/>\nOptions:<br \/>\n1) 1370<br \/>\n2) 1330<br \/>\n3) 1310<br \/>\n4) 1390<br \/>\nCorrect Answer: 1330<\/p>\n<p>Question: 83 &#8211; In a one day match of 50 overs in an innings the Team A had a run rate of 6.1 runs per over. Team B is playing and 10 overs are left and the required run rate to tie the match is 6.5 per over. What is Team B&#8217;s score now?<br \/>\nOptions:<br \/>\n1) 235<br \/>\n2) 230<br \/>\n3) 240<br \/>\n4) 225<br \/>\nCorrect Answer: 240<\/p>\n<p>Question: 84 &#8211; Average of all even numbers between 222 and 250 is __________.<br \/>\nOptions:<br \/>\n1) 234<br \/>\n2) 232<br \/>\n3) 236<br \/>\n4) 230<br \/>\nCorrect Answer: 236<\/p>\n<p>Question: 85 &#8211; A vendor buys bananas at 7 for Rs 6 and sells at 6 for Rs 7. What will be the result?<br \/>\nOptions:<br \/>\n1) 36.1% loss<br \/>\n2) 26.5% profit<br \/>\n3) 36.1% profit<br \/>\n4) 26.5% loss<br \/>\nCorrect Answer: 36.1% profit<\/p>\n<p>Question: 86 &#8211; A miner sells a diamond to a trader at a profit of 40% and the trader sells it to a customer at a profit of 25%. If the customer pays Rs 56 lakhs to buy the diamond, what had it cost the miner (in Rs lakhs)?<br \/>\nOptions:<br \/>\n1) 30<br \/>\n2) 28<br \/>\n3) 25<br \/>\n4) 32<br \/>\nCorrect Answer: 32<\/p>\n<p>Question: 87 &#8211; A grocer had 1600 kgs of wheat. He sold a part of it at 20% profit and the rest at 12% profit, so that he made a total profit of 17%. How much wheat (in kg) did he sell at 20% profit?<br \/>\nOptions:<br \/>\n1) 600<br \/>\n2) 1000<br \/>\n3) 800<br \/>\n4) 1200<br \/>\nCorrect Answer: 1000<\/p>\n<p>Question: 88 &#8211; A used two-wheeler dealer sells a scooter for Rs 46,000 and makes some loss. If he had sold it for Rs 58,000 his profit would have been double his loss. What was the cost price (in Rs) of the scooter?<br \/>\nOptions:<br \/>\n1) 52000<br \/>\n2) 54000<br \/>\n3) 48000<br \/>\n4) 50000<br \/>\nCorrect Answer: 50000<\/p>\n<p>Question: 89 &#8211; 0.08% of 120% of 50,000 is equal to __________.<br \/>\nOptions:<br \/>\n1) 480<br \/>\n2) 48<br \/>\n3) 4800<br \/>\n4) 4.8<br \/>\nCorrect Answer: 48<\/p>\n<p>Question: 90 &#8211; When a number is increased by 24, it becomes 115% of itself. What is the number?<br \/>\nOptions:<br \/>\n1) 160<br \/>\n2) 250<br \/>\n3) 100<br \/>\n4) 200<br \/>\nCorrect Answer: 160<\/p>\n<p>Question: 91 &#8211; Two numbers are 40% and 80% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?<br \/>\nOptions:<br \/>\n1) 100<br \/>\n2) 33.3<br \/>\n3) 66.6<br \/>\n4) 200<br \/>\nCorrect Answer: 200<\/p>\n<p>Question: 92 &#8211; Price of diesel increased from Rs 45\/litre to Rs 50\/litre. How much should the consumption of diesel be reduced (in %) so as to increase expenditure by only 5%?<br \/>\nOptions:<br \/>\n1) 5.5<br \/>\n2) 5<br \/>\n3) 4<br \/>\n4) 4.5<br \/>\nCorrect Answer: 5.5<\/p>\n<p>Question: 93 &#8211; A plane flies a distance of 1800 km in 5 hours. What is its average speed in meters\/second?<br \/>\nOptions:<br \/>\n1) 200<br \/>\n2) 10<br \/>\n3) 20<br \/>\n4) 100<br \/>\nCorrect Answer: 100<\/p>\n<p>Question: 94 &#8211; If a boat goes upstream at a speed of 24 km\/hr and comes back the same distance at 40 km\/hr. What is the average speed (in km\/hr) for the total journey.<br \/>\nOptions:<br \/>\n1) 32<br \/>\n2) 30<br \/>\n3) 31<br \/>\n4) 33<br \/>\nCorrect Answer: 30<\/p>\n<p>Question: 95 &#8211; Two bikers A and B start and ride at 75 km\/hr and 60 km\/hr respectively towards each other. They meet after 20 minutes. How far (in km) were they from each other when they started?<br \/>\nOptions:<br \/>\n1) 60<br \/>\n2) 45<br \/>\n3) 30<br \/>\n4) 15<br \/>\nCorrect Answer: 45<\/p>\n<p>Question: 96 &#8211; Excluding stoppages, the speed of a bus is 80 kmph and including stoppages, it is 60 kmph. For how many minutes does the bus stop per hour?<br \/>\nOptions:<br \/>\n1) 12<br \/>\n2) 15<br \/>\n3) 18<br \/>\n4) 20<br \/>\nCorrect Answer: 15<\/p>\n<p>Question: 97 &#8211; In 2 years at simple interest the principal increases by 8%. What will be the compound interest earned (in Rs) on Rs 10 lakhs in 2 years at the same rate?<br \/>\nOptions:<br \/>\n1) 86000<br \/>\n2) 81600<br \/>\n3) 90000<br \/>\n4) 94000<br \/>\nCorrect Answer: 81600<\/p>\n<p>Question: 98 &#8211; If the compound interest for the 3rd and 4th year on a certain principal is Rs 125 and Rs 135 respectively, what is the rate of interest (in %)?<br \/>\nOptions:<br \/>\n1) 9<br \/>\n2) 10<br \/>\n3) 8<br \/>\n4) 12<br \/>\nCorrect Answer: 8<\/p>\n<p>Question: 99 &#8211; A certain bank offers 8% rate of interest on the 1st year and 9% on the 2nd year in a certain fixed deposit scheme. If Rs 17,658 are received after investing for 2 years in this scheme, then what was the amount (in Rs) invested?<br \/>\nOptions:<br \/>\n1) 16000<br \/>\n2) 15000<br \/>\n3) 15500<br \/>\n4) 16500<br \/>\nCorrect Answer: 15000<\/p>\n<p>Question: 100 &#8211; What is the difference (in Rs) in Compound interest earned in 1 year on a sum of Rs 25,000 at 20% per annum compounded semi-annually and annually?<br \/>\nOptions:<br \/>\n1) 125<br \/>\n2) 250<br \/>\n3) 500<br \/>\n4) 375<br \/>\nCorrect Answer: 250<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Quantitative Ability Question Papers 21st February 2018 (Morning Shift) CGL (Tier-2) 2017 &nbsp; Question: 1 &#8211; If A = 1 \u2013 10 + 3 \u2013 12 + 5 \u2013 14 + 7 + \u2026 upto 60 terms, then what is <a href=\"https:\/\/rozgarpatrika.com\/questionpapers\/ssc-cgl-tier-2-2017-quantitative-ability-exam-paper-held-on-21st-feb-2018\/\" class=\"read-more\">Read More 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