Staff Selection Commission successfully conducted the Combined Graduate Level (CGL) Tier-II exam on 25 October 2015. SSC CGL Tier-II exam held on various exam center of all over India. Official SSC CGL Tier-II Answer Key will be released soon on official website

SSC CGL Tier-II exam is being held on 25th & 26th October 2015. Approx 1,44,871 candidate appeared in SSC CGL Tier-II exam. This exam has comprised of total three papers. SSC CGL Tier-II paper has objective type questions with Quantitative abilities, English Language and Comprehension, Statistics. Ist and 2nd part is compulsory for all post and 3rd paper is only for those candidates who have applied for the post of Statistical Investigator Gr.II and Compiler.

SSC CGL Tier-II Answer Key 25 October 2015:

Organization Name: Staff Selection Commission (SSC)
Exam name: SSC CGL Tier 2
Exam date: 25th and 26 October 2015
Total Marks: 200
Further Process: Tier 3 (Interview)

Regional wise official names and their websites:

State Region Official Website
Delhi, Rajasthan Uttrakhand North
Chhattisgarh and Madhya Pradesh MP Sub-Region
Uttar Pradesh & Bihar Central
West Bengal, Orrisa, Jharkhand, A&N Island, Sikkim Eastern
Assam, Arunachal Pradesh, Manipur, Meghalaya, Tripura, Nagaland, Mizoram North Eastern
Karnataka, Kerala KKR region
Maharashtra, Gujarat, Goa Western
Haryana, Punjab, J&K, Himachal Pradesh North-Western
Andhra Pradesh, Punduchery, Tamilnadu Southern

Eager Candidate who appeared in SSC CGL Tier-II exam can check their performance in the examination and can match their Answeres with Answer Key. Before Official SSC CGL Tier-II Answer Key solved paper providing you an Unofficial SSC CGL Tier-II Answer key 25 October 2015. Full Solution and Explanation also available here. For SSC CGL Tier-2 English Language & Comprehension Answer key Click here.

Quantitative Aptitude/ Mathematics Questions:

  1. Q.1
    Then the value of a/b, where p and q are different positive primes is
    (a) 1
    (b) -1
    (c) 0
    (d) 2
  2. The portion of a ditch 48 m long. 16.5 m wide and 4 m deep that can be filled with stones and earth available during excavation of a tunnel, cylindrical in shape of diameter 4 m and length 56 m is ( take p=22/7)
    (a) 2/9 part
    (b) 1/2  part
    (c) 1/4 part
    (d) 1/9 part
  3. A man purchases some oranges at the rate of 3 for ₹ 40 and the same quantity at 5 for ₹ 60. If he sells all the oranges at the rate of 3 for ₹50, find his gain or loss percent (to the nearest integer).
    (a) 34% loss
    (b) 31 % loss
    (c) 32% profit
    (d) 31% profit
  4. A plane divides a right circular cone into two parts of equal volume. If the plane is parallel to the base, then the ratio, in which the height of the cone is divided is
    (a) 1:√2
    (b) 1:3√2+1
    (c) 1: 3√2-1   
    (d) 1:3√2
  5. If 90 men can do a certain job in 16 days, working 12 hours/day, then the part of that work which can be completed by 70 men in 24 days, working 8 hours/day is
    (a) 5/8
    (b) 7/9
    (c) 1/3
    (d) 2/3
  6. The unit digit in the product (2467)153x(341)72 is
    (a) 3
    (b) 9
    (c) 1
    (d) 7
  7. If x=a1/2+a-1/2, Y=a1/2-a-1/2, then value of (x4-x2y2-1)+(y4-x2y2+1)
    (a) 13
    (b) 12
    (c) 16
    (d) 14
  8. Base of a right pyramid is a square of side 10 cm. If the height of the pyramid is 12 cm, then its total surface area is
    (a) 260 cm2
    (b) 400 cm2
    (c) 460 cm2
    (d) 360 cm2
  9. ABCD is a cyclic quadrilateral AB and DC when produced meet at P, if PA=8cm PB=6cm, PC=4 cm, then the length (in cm) of PD is
    (a) 10
    (b) 6
    (c) 8
    (d) 12
  10. A right prism has a triangular base whose sides are 13 cm, 20 cm and 21 cm. If the altitude of the prism is 9 cm, then its volume is
    (a) 1134 cm3
    (b) 1143 cm3
    (c) 1413 cm3
    (d) 1314 cm3
  11. A manufacturer fixes his selling price at 33% over the cost of production. If cost of production goes up by 12% and manufacturer raises his selling price by 10% his percentage profit is
    (a) 227/8%
    (b) 35%
    (c) 329/9%
    (d) 245/8%
  12. If sec q – tan q = 1/√3, the value of sec q .tan q is
    (a) 2/3
    (b) 4/√3
    (c) 1/√3
    (d) 2/√3
  13. The radii of two solid iron spheres are 1 cm and 6 cm respectively, A hollow sphere is made by melting the two spheres, If the external radius of the hollow sphere is 9 cm, then its thickness (in cm) is
    (a) 2 (b) 1                                                       (c) 1.5                                    (d) 0.5
  14. If (3x-2y):(2x+3y)=5:6, then one of the value of
    (a) 25 Q. 14
    (b) 1/5
    (c) 5
    (d) 1/25
  15. Three Science classes A, B and C take a Life Science test. The average score of class A is 83, The average score of class B is 76. The average score of Class C is 85. The average score of class A and B is 79 and average score of class B and C is 81. Then the average score of classes A, B and C is
    (a) 80.5
    (b) 81.5
    (c) 81
    (d) 80
  16. The value of
    Q.16(a) 1/8
    (b) 1/16
    (c) 1/32
    (d) 1/64
  17. If (x3-y2):(x2+xy+y2)=5:1 and (x2-y2):(x-y)=7:1, the ratio 2x:3y equals
    (a) 4:1
    (b) 3:2
    (c) 2:3
    (d) 4:3

    The following graph shows production (in thousands of two types (P and Q) of vehicles by a factory over the years 2009 to 2014. Study the graph and answer five questions:
    From Q. 18

  18. The ratio of total production of Type P vehicles to total production of Type Q vehicles over the years is
    (a) 41:48
    (b) 5:8
    (c) 8:5
    (d) 48:41
  19. The total production of Type P vehicles in the years 2009 and 2011 is what percent of total production of Type Q vehicles in 2010 and 2014?
    (a) 81.25
    (b) 80
    (c) 69.25
    (d) 75
  20. The production of Type Q vehicles in 2010 was approximately what percent of Type P vehicles in 2014?
    (a) 45.5
    (b) 60
    (c) 75
    (d) 54.5
  21. Approximate percentage decrease in production of Type Q vehicles from 2010 to 2011 is
    (a) 12.5
    (b) 16.7
    (c) 14.3
    (d) 10.1
  22. In how many of the given years, was the production of Type P vehicles of the company more than the average production of this type vehicles in the given years?
    (a) 3
    (b) 4
    (c) 5
    (d) 2
  23. A and B can do a piece of work in 30 and 36 days respectively. They began the work together, but A leaves after some days and B finished the remaining work in 25 days. After how many days did A leave?
    (a) 6 days
    (b) 5 days 
    (c) 10 days
    (d) 11 days
  24. In an office, 40 % of the staff is female. 70% of the female staff and 50% of the male staff are married. The percentage of the unmarried staff in the office is
    (a) 42
    (b) 54
    (c) 64
    (d) 60
  25. In trapezium ABCD, AB ll CD and AB=2CD. Its diagonals intersect at O. If the area of D AOB=84 cm2, then the area of COD is equal to
    (a) 72 cm2
    (b) 42 cm2
    (c) 26 cm2
    (d) 21 cm2
  26. In D ABC, ÐBAC=902 and AD ^ If BD=3 cm and CD=4 cm, then the length (in cm) of AD is
    (a) 5
    (b) 3.5
    (c) 2√3
    (d) 6
  27. If a shopkeeper wants to give 20% discount on a toy, he has to sell it for ₹ If he sells it at ₹ 405, then his gain percent is
    (a) 6%
    (b) 8%
    (c) 4%
    (d) 5%
  28. A man sells an article at 5% above its cost price. If he had bought it at 5% less than what he had paid for it and sold it at ₹ 2 less, he would have gained 10%. The cost price of the article is
    (a) ₹ 400
    (b) ₹ 300
    (c) ₹ 100
    (d) ₹ 200
  29. A, B and C can do a work separately in 16, 32 and 48 days respectively. They started the work together but B leaving off 8 days and C six days before the completion of the work. In what time is the work finished?
    (a) 14 days
    (b) 10 days
    (c) 9 days
    (d) 12 days
  30. If sin A + sin2 A =1, then the value of cos2 A + cos4 A is
    (a) 3/2
    (b) 1
    (c) 2
    (d) 5/3
  31. 60 kg of an alloy A is mixed with 100 Kg of alloy B. If alloy A has lead and tin in the ratio 3:2 and alloy B has tin and copper in the ratio 1:4, the amount of tin in the new alloy is
    (a) 80 kg
    (b) 24 kg
    (c) 44 kg
    (d) 53 kg
  32. Quadrilateral ABCD is circumscribed about a circle, If the length of AB, BC, CD are 7 cm. 8.5 cm. and 9.2 cm respectively, then the length (in cm) of DA is
    (a) 16.2
    (b) 7.7
    (c) 7.2
    (d) 10.7
  33. If 60% of A =30% of B, B =40% of C and C=x% of A, then value of x is
    (a) 800
    (b) 500
    (c) 200
    (d) 300
  34. If A:B=2:3 and B:C=3:7, then A+B;B+C:C+A is
    (a) 5:8:9
    (b) 5:10:9
    (c) 4:10:9
    (d) 4:8:9
  35. The interior angle of a regular polygon exceeds it exterior angle by 108o. The number of sides of the polygon is
    (a) 10
    (b) 14
    (c) 16
    (d) 12
  36. If x-√3-√2=0 and y-√3+√2=0, then value of (x3-20√2)-(y3+2√2)
    (a) 3
    (b) 1
    (c) 2
    (d) 0
  37. The value of
    cot41o.cot 42o. cot 43o.cot 44o.cot 45o.cot 46o.cot 47o . cot 48o. cot 49o
    (a) 0
    (b) √3/2
    (c) 1/√2
    (d) 1
  38. There would be a 10% loss, if rice is sold at ₹ 54 per kg. To earn a profit of 20%, the price of rice per kg will be
    (a) ₹ 70
    (b) ₹ 72
    (c) ₹ 63
    (d) ₹ 65
  39. If a man walks at the rate of 5 km/hour, he misses a train by 7 minutes. However if he walks at the rate of 6 km/hour, he reaches the station 5 minutes before the arrival of the train. The distance covered by him to reach the station is
    (a) 6 km
    (b) 4 km
    (c) 7 km
    (d) 6.25 km
  40. Two places P and Q are 162 km apart. A train leaves P for Q and simultaneously another train leaves Q for P. They meet at the end of 6 hours. If the former train travels 8 km/hour faster than the other, then speed of train from Q is
    (a) 65/6 km/hour
    (b) 77/6 km/ hour
    (c) 17/2 km/hour
    (d) 19/2 km/hour
  41. There is a wooden sphere of radius 6 √3 cm. The surface area of the largest possible cube cut out from the sphere will be
    (a) 462 cm2
    (b) 464 √3 cm2
    (c) 864 cm2 
    (d) 646 √3 cm2
  42. If O is the circumcenter of a triangle ABC lying inside the triangle, then ∠OBC + ∠BAC is equal to
    (a) 90o
    (b) 120o
    (c) 60o
    (d) 110o
  43. Articles are marked at a price which gives a profit of 25% After allowing a certain discount the profit reduces to 25/2%. The discount percent is
    (a) 10%
    (b) 12%
    (c) 11.1%
    (d) 25/2%
  44. The value of
    (a) 11
    (b) 3.4
    (c) 0.34
    (d) 1.1
  45. A number when divided by 361 gives a remainder 47. If the same number is divided by 19, the remainder obtained is
    (a) 8
    (b) 9
    (c) 3
    (d) 1
  46. Ram sold two horse at the same price. In one he gets a profit of 10%. Then Ram gets
    (a) 1% loss
    (b) 1% profit
    (c) no loss or profit
    (d) 2 % loss
  47. The value of (cosec a- sin a)(sec a – cos a)(tan a + cot a)
    (a) 2
    (b) 6
    (c) 4
    (d) 1
  48. If tan A =n tan B and sin A =m sin B, then the value of cos2 A is
    (a) m2+1
    (b) m2-1     
    (c) m2+1
    (d) m2-1
           n2 +1
  49. A telegraph post is bet at a point above the ground due to storm. Its top just touches the ground at a distance of 10Ö3m from its foot and makes an angle of 30o with the horizontal. Then height (in metres) of the telegraph post is
    (a) 24
    (b) 25
    (c) 30
    (d) 20
  50. If x=a sin q – b cos q, y=cos q + b sin q, then which of the following is true?
    (a) x2+y2 =a2+b2
    (b) x2/y2 +a2/b2 =1
    (c) x2 ¸y2 =a2-b2
    (d) x2/a2 + y2/b2=1
  51. If 5 cos q +12 sin q =13, 0o<q<90o, then the value of sin q is
    (a) 12/13
    (b) 6/13
    (c) _ 12
    (d) 5/13
  52. A sum of money is paid back in two annual instalments of ₹ 17,640 each, allowing 5% compound interest compounded annually. The sum borrowed was
    (a) ₹ 32,000
    (b) ₹ 32,800
    (c) ₹ 32,400
    (d) ₹ 32,200
  53. AD is perpendicular to the internal bisector of Ð ABC of D DE is drawn through D and parallel to BC to meet AC at E. If the length of AC is 12 cm, then the length of AE (in cm)is
    (a) 3
    (b) 6
    (c) 4
    (d) 8
  54. Three glasses of equal volume contains acid mixed with water. The ratio of acid and water are 2:3, 3:4 and 4:5 respectively. Contents of these glasses are poured in a large vessel. The ratio of acid and water in the large vessel is
    (a) 407:560
    (b) 411:540
    (c) 417:564
    (d) 401:544
  55. Two blends of a commodity costing ₹35 and ₹ 40 per kg respectively are mixed in the ratio 2:3 by weight. If one fifth of the mixture is sold at ₹ 46 per kg and the remaining at the rate of ₹ 55 per kg, the profit percent is
    (a) 30
    (b) 50
    (c) 20
    (d) 40
  56. If a +b=1, find the value of a3+b3-ab-(a2-b2)2
    (a) 1
    (b) -1
    (c) 0
    (d) 2
  57. The average of five consecutive positive integers is n. If the next two integers are also included, the average of all these integers will
    (a) increase by 2
    (b) remains the same
    (c) increase by 1 
    (d) increase by 1.5
  58. A cylinder with base radius 8 cm and height 2 cm is melted to form a cone of height 6 cm. The radius of the cone will be
    (a) 6 cm
    (b) 8 cm
    (c) 5 cm
    (d) 4 cm
  59. The marked price of a tape recorder is ₹ 12,600. A festival discount of 5% is allowed on it. Further for cash payment, a second discount of 2% is given. The cash payment, in rupees, is to be made for buying it is
    (a) 11,073.60
    (b) 11,703.60
    (c) 11,730.60
    (d) 11,370.60
  60. If x2+y2+z2=xy+yz+zx, then the value of
    (b) 2
    (c) -1
    (d) 0
  61. A boat moves downstream at the rate of 1 km in 15/2 minutes and upstream at the rate of 5 km an hour, What is the speed (in km/hour) of the boat in the still water?
    (a) 8
    (b) 4
    (c) 13/2
    (d) 7/2
  62. If
    Q. 62
    (a) 7
    (b) 14
    (c) 5
    (d) 2
  63. A dealer fixed the price of an article 40% above the cost of production. While selling it he allows a discount of 20% and makes a profit of ₹48. The cost of production (in ₹) of the article is
    (a) 320
    (b) 400
    (c) 360
    (d) 420
  64. The diameter of each wheel of a car is 70 cm. If each wheel rotates 400 times per minute, then the speed of the car (in km/hr) is (take p=22/7)
    (a) 0.528
    (b) 5.28
    (c) 52.8
    (d) 528
  65. The simple interest on a sum of money is 8/25 of the sum. If the number of years is numerically half the rate percent per annum, then the rate percent per annum is
    (a) 5
    (b) 4
    (c) 8
    (d) 25/4
  66. A man starts from a place P and reaches the place Q in 7 hours. He travels of 1/4th of the distance at 10 km/hour and remaining distance at 12 km/hour. The distance, in kilometer, between P and Q is
    (a) 80
    (b) 72
    (c) 70
    (d) 90
  67. A sum of ₹ 7,390 is divided into 3 parts and given on loan at 5% simple interest to A, B and C for 2, 3 and 4 years respectively. If the amounts of all three are equal after their respective periods of loan, then the A received a loan of
    (a) ₹ 2,760
    (b) ₹ 2,800
    (c) ₹ 3,050
    (d) ₹ 2,750
  68. 62+72+82+92+102
    √7+4√3 – √4+2√3 is equal to
    (a) 330
    (b) 366
    (c) 355
    (d) 305
  69. Let x = √13+√11 and y=1, then the value of 3x2-5xy+3y2 is
    (a) 1171
    (b) 1177
    (c) 1771
    (d) 1717
  70. AB and CD are two parallel chords of a circle of length 10 cm and 4 cm respectively. If the chords are on the same side of the center and the distance between then is 3 cm, then the diameter of the circle is
    (a) √21 cm
    (b) √29 cm
    (c) 2√29 cm 
    (d) 2√21 cm
  71. The H.C.F and L.C.M of two numbers are 21 and 84 respectively. If the ratio of the two number is 1:4, then the larger of the two numbers is
    (a) 84
    (b) 12
    (c) 108
    (d) 48
  72. If 64 buckets of water are removed from a cubical shaped water tank completely filled with water, 1/3 of the tank remains filled with water. The length of each side of the tank is 1.2 m, Assuming that all buckets are of the same measure, then the volume (in liters) of water contained by each bucket is
    (a) 12
    (b) 16
    (c) 15
    (d) 18
  73. Water tax is increased by 20% but it consumption is decreased by 20%. Then the increase or decrease in the expenditure of the money is
    (a) 4% increase
    (b) 4% decrease
    (c) 5% decrease
    (d) No change
  74. Pipe A can fill an empty tank in 6 hours and pipe B in 8 hours. If both the pipes are opened and after 2 hours pipe A is closed, how much time B will take to fill the remaining tank?
    (a) 7/3 hours
    (b) 15/2 hours
    (c) 10/3 hours
    (d) 12/5 hours
  75. Given that the ratio of altitudes of two triangles is 4:5, ratio of their areas is 3:2. The ratio of their corresponding base is
    (a) 5:8
    (b) 8:5
    (c) 15:8
    (d) 8:15
  76. The numerical value of the volume and the area of the lateral surface of a right circular cone are equal If the height of the cone be h and radius be r, the value of (1/h2)+(1/r2) is
    (a) 3/1
    (b) 1/3
    (c) 1/9 
    (d) 9/1
  77. If 7 sin2q +3cos2q=4, then the value of tan q is (q is acute)
    (a) 1/√2
    (b) 1/√3
    (c) 1
    (d) √3
  78. P and Q together can do a job in 6 days. Q and R can finish the same job in 60/7 days, P started the work and worked for 3 days. Q and R continued for 6 days, Then the difference of days in which R and P can complete the job is
    (a) 10
    (b) 15
    (c) 12
    (d) 8
  79. A and B have their monthly incomes in the ratio 8:5, while their monthly expenditures are in the ratio 5:3, If they have saved ₹ 12,000 and ₹ 10,000 monthly respectively, then the difference in their monthly incomes is
    (a) ₹ 52,000
    (b) ₹ 44,000
    (c) ₹ 46,000
    (d) ₹ 42,000
  80. A and B can do a given piece of work in 8 days, B and C can do the same work in 12 days and A, B, C completed it in 6 days, Number of days required to finish the work by A and C is
    (a) 8
    (b) 24
    (c) 12
    (d) 16
  81. The average age of 30 students of a class is 14 years 4 months. After admission of 5 new students in the class the average becomes 13 years 9 months. The youngest one of the five new students is 9 years 11 months old. The average age of remaining 4 new students is
    (a) 10 years 4 months
    (b) 12 years 4 months
    (c) 11 years 2 months
    (d) 13 years 6 months
  82. Let x be the smallest number, which when added to 2000 makes the resulting number divisible by 12,16,18 and 21. The sum of the digit of x is
    (a) 5
    (b) 7
    (c) 4
    (d) 6
  83. If
    Q. 83
    then the value of a2b2c2 is
    (a) 0
    (b) -1
    (c) abc
    (d) 1
  84. In triangle ABC, DE II BC where D is a point on AB and E is a point on AC, DE divides the area of D ABC into two equals parts, Then DB:AB is equal to
    (a) √2:( √2+1)
    (b) √2:( √2-1)
    (c) (√2-1): √2  
    (d) (√-1): √2
  85. In an examination average marks obtained by the girls of a class is 85 and the average marks obtained by the boys of the same class in 87. If the girls and boys are in the ratio 4:5, average marks of the whole class (approx.) is closest to
    (a) 85.9
    (b) 86.1 
    (c) 86.4
    (d) 86.5
  86. If a hemisphere is melted and four spheres of equal volume are made, the radius of each sphere will be equal to
    (a) 1/2 of the radius of the hemisphere
    (c) 1/6th of the radius of the hemisphere
    (b) radius of the hemisphere
    (d) 1/4th of the radius of the hemisphere
  87. Let x be the least number, which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case but when divided by 9 leaves no remainder, The sum of digits of x is
    (a) 18
    (b) 21
    (c) 22
    (d) 24
  88. A car covers four successive 7 km distances at speeds of 10 km/hour, 30 km/hour, 60 km/hour respectively, Its average speed over this distance is
    (a) 20 km/hour
    (b) 60 km/hour
    (c) 30 km/hour
    (d) 40 km/hour
  89. The centroid of an D ABC is G. The area of D ABC is 60 cm2. The area of D GBC is
    (a) 20 cm2
    (b) 10 cm2
    (c) 30 cm2
    (d) 40 cm2
  90. If tan q -cot q =0 and q is positive acute angle, then the value of     tan(q+15o)     is
    tan (q-15o)
    (a) √3
    (b) 1/3
    (c) 1/√3
    (d) 3
  91. The greatest number among 350, 440,530 and 620 is
    (a) 620
    (b) 440
    (c) 350
    (d) 530
  92. The area of an isosceles trapezium is 176 cm2 and the height is 2/11th of the sum of its parallel sides. If the ratio of the length of the parallel sides is 4:7, then the length of a diagonal (in cm) is
    (a) 28
    (b) √137
    (c) 24
    (d) 2√137
  93. Average of n numbers is a. The first number is increased by 2, second one is increased by 4, and the third one is increased by 8 and so on. The average of the new numbers is
  94. The perimeter of a rhombus is 60 cm and one of its diagonal is 24 cm. The area (in of the rhombus is
    (a) 432
    (b) 206
    (c) 216
    (d) 108
  95. There is a number consisting of two digits, the digit in the units place is twice that in the tens place and if 2 be subtracted from the sum of the digits. The difference is equal to 1/6th of the number. The number is
    (a) 24
    (b) 23
    (c) 26
    (d) 25
  96. 300 grams of sugar solution has 40% of sugar in it. How much sugar should be added to make it 50% in the solution?
    (a) 60 gms
    (b) 10gms
    (c) 80 gms
    (d) 40 gms
  97. In a school there were 1554 students and the ratio of the number of the boys and girls was 4:3. After few days, 30 girls joined the school but few boys left: as a result the ratio of the boys and girls became 7:6. The number of boys who left the school is
    (a) 86
    (b) 76
    (c) 84
    (d) 74
  98. If 3(a2+b2+c2) = (a+b+c)2, then the relation between a, b and c is
    (a) a=b≠c
    (b) a≠b≠c
    (c) a≠b=c
    (d) a=b=c
  99. A sum of money placed at compound interest doubles itself in 5 years. It will amount to eight times itself at the same rate of interest in
    (a) 12 years
    (b) 15 years
    (c) 20 years
    (d) 10 years
  100. A and B are centres of two circles of radii 11 cm and 6 cm, respectively. PQ is a direct common tangent to the circles, If AB=13 cm, then length of PQ will be
    (a) 17 cm
    (b) 12 cm 
    (c) 13 cm
    (d) 8.5 cm


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