SSC Combined Higher Secondary Exam 2012 Question Paper: Quantitative Aptitude

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SSC Combined Higher Secondary Exam 2012 Question Paper: Quantitative Aptitude

Questions and Answers
  • 1. 
    If the difference between the interests, received from two different banks on Rs. 500 for 2 years is Rs. 2.50. The difference their rates is:
    • A. 

      0.5 %

    • B. 

      2.5 %

    • C. 

      0.25 %

    • D. 

      1 %

  • 2. 
    • A. 
    • B. 
    • C. 
    • D. 

      None of the above is true

  • 3. 
    The length and breadth of a square are increased by 30% and 20% respectively. The area of the rectangle so formed exceeds the area of the square by
    • A. 

      46%

    • B. 

      66%

    • C. 

      42%

    • D. 

      56%

  • 4. 
    Volume of a cubical box is 3.375 cubic meters. The length of edge of the box is
    • A. 

      75 cm

    • B. 

      1.5 m

    • C. 

      1.125 m

    • D. 

      2.5 m

  • 5. 
    A can do a piece of work in 20 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in
    • A. 

      5 days

    • B. 

      7 days

    • C. 

      11 days

    • D. 

      3 days

  • 6. 
    A batsman in his 12th innings makes a score of 63 runs and there by increases his average scores by 2. What is his average after the 12th innings?
    • A. 

      13

    • B. 

      39

    • C. 

      49

    • D. 

      87

  • 7. 
    The length of a minute hand of a clock is 7 cm. The area swept by the minute hand in 30 minutes is:
    • A. 

      210 sq.cm

    • B. 

      154 sq.cm

    • C. 

      77 sq.cm

    • D. 

      147 sq.cm

  • 8. 
    A man walks 'a' km in 'b' hours. The time taken to walk 200 meters is 200 m
    • A. 

      hours

    • B. 

      hours

    • C. 

      hours

    • D. 

      hours

  • 9. 
    The circumference of the base of a 16cm height solid cone is 33cm. What is the volume of the cone in cm 3?
    • A. 

      1028

    • B. 

      616

    • C. 

      462

    • D. 

      828

  • 10. 
    If  then value of cot θ is:
    • A. 
    • B. 
    • C. 

      3

    • D. 

      2

  • 11. 
    A principal of Rs 10,000, after 2 years compounded annually, the rate of interest being 10% per annum during the first year and 12% per annum during the second year (in rupees) will amount to:
    • A. 

      Rs. 12,000

    • B. 

      Rs. 12,320

    • C. 

      Rs. 12,500

    • D. 

      Rs. 11,320

  • 12. 
    If , then the value of is:
    • A. 

      10x

    • B. 

      100x

    • C. 
    • D. 
  • 13. 
    A train 100 meters long meets a man going in opposite direction at 5 km/hr and passes him in  seconds. What is the speed of the train in km/hr? 
    • A. 

      45 km/hr

    • B. 

      60 km/hr

    • C. 

      55 km/hr

    • D. 

      50 km/hr

  • 14. 
    A man' sold two articles at Rs 375 each. On one, he gains 25% and on the other, he loses 25%. The gain or loss% on the whole transaction is
    • A. 

      6%

    • B. 

      4 %

    • C. 

      Rs 50

    • D. 

      4 %

  • 15. 
     A team played 40 games in a season and won in 24 of them. What percent of games played did the team win?
    • A. 

      70%

    • B. 

      40%

    • C. 

      60%

    • D. 

      35%

  • 16. 
    A bought an article, paying 5% less than the original price. A sold it with 20% profit on the price he had paid. What percent of profit did A earn on the original price?
    • A. 

      10

    • B. 

      13

    • C. 

      14

    • D. 
  • 17. 
    ABC is a right angled triangle, right angled at C and p is the length of the perpendicular from Con AB. If a, b and c are the lengths of the sides BC, CA and AB respectively, then
    • A. 
    • B. 
    • C. 
    • D. 
  • 18. 
    Diagonal of a cube is 6 cm. Ratio of its total surface area and volume (numerically) is
    • A. 

      2:1

    • B. 

      1:6

    • C. 

      1:1

    • D. 

      1:2

  • 19. 
    The ratio of the edges of rectangular parallelopiped is 1: 2: 3 and its volume is 1296 cubic cm. The area of the whole surface in sq.cm is
    • A. 

      696

    • B. 

      792

    • C. 

      824

    • D. 

      548

  • 20. 
    The perimeter of a semi-circular area is 18cm, then the radius is: (Using π = )
    • A. 
    • B. 
    • C. 

      6 cm

    • D. 

      4 cm

  • 21. 
    The profit percent of a book seller if he sells book at marked price after enjoying a commission of 25% on marked price will be:
    • A. 

      30%

    • B. 

      25%

    • C. 

      20%

    • D. 

      33 %

  • 22. 
    If  = 27 ' then the value of n is:
    • A. 

      9

    • B. 

      6

    • C. 

      1

    • D. 

      3

  • 23. 
    From 9.00 AM to 2.00 PM, the temperature rose at a constant rate from 21°C to 36°C. What was the temperature at noon?
    • A. 

      27°C

    • B. 

      30°C

    • C. 

      32°C

    • D. 

      28.5°C

  • 24. 
    The average of four consecutive even numbers is 9. Find the largest number.
    • A. 

      12

    • B. 

      6

    • C. 

      8

    • D. 

      10

  • 25. 
    In a school, the ratio of boys to girls is 4: 3 and the ratio of girls to teachers' is 8 : 1: The ratio of students to teachers is :
    • A. 

      56: 3

    • B. 

      55: 1

    • C. 

      49: 3

    • D. 

      56: 1

  • 26. 
    If = then the value of x is
    • A. 

      11

    • B. 

      9

    • C. 

      23

    • D. 

      7

  • 27. 
    The minute hand of a big wall-clock is 35cm long. Taking π=   length of the arc, its extremity moves in 18 seconds is:
    • A. 

      11 cm

    • B. 

      1.1 cm

    • C. 

      6.6 cm

    • D. 

      6 cm

  • 28. 
    The Banker's discount on a bill due 6 months hence at 16% per annum is Rs 216. The true discount is:
    • A. 

      Rs 212

    • B. 

      Rs 180

    • C. 

      Rs 210

    • D. 

      Rs 200

  • 29. 
    The average weight of 12 crewmen in a boat is increased by   kg, when one of the crewmen whose weight is 55 kg is replaced by a new man. What is the weight of that new men?
    • A. 

      58

    • B. 

      60

    • C. 

      57

    • D. 

      59

  • 30. 
    If   ABC is an isosceles triangle with LC = 90° and AC = 5 cm, then AB is :
    • A. 

      5 cm

    • B. 

      10 cm

    • C. 

      5 cm

    • D. 

      2.5 cm

  • 31. 
    The length of the two sides forming the right angle of a right angled triangle are 6 cm and 8 cm. The length of its circum-radius is':
    • A. 

      5 cm

    • B. 

      7 cm

    • C. 

      6 cm

    • D. 

      10 cm

  • 32. 
    If the difference of two numbers is 3 and the difference of their squares is 39; then the larger number is :
    • A. 

      9

    • B. 

      12

    • C. 

      13

    • D. 

      8

  • 33. 
    If x = , then the value of is
    • A. 
    • B. 
    • C. 
    • D. 
  • 34. 
    The printed price of a book is Rs 320. A retailer pays Rs 244.80 for it. He gets successive discounts of 10% and an another rate. His second rate is:
    • A. 

      15%

    • B. 

      16%

    • C. 

      14%

    • D. 

      12%

  • 35. 
    If tan , the value of cosθ is:
    • A. 

      0

    • B. 
    • C. 
    • D. 

      1

  • 36. 
    A, Band C are batsmen. The ratios of the runs scored by them in a certain match are given below: A: B = 5: 3 and B: C = 4: 5. In all they scored 564 run. The number of runs scored by B is:
    • A. 

      124

    • B. 

      104

    • C. 

      114

    • D. 

      144

  • 37. 
    The length of radius of a circumcircle of a triangle having sides 3cm, 4cm and 5cm is:
    • A. 

      2 cm

    • B. 

      2.5 cm

    • C. 

      3 cm

    • D. 

      1.5 cm

  • 38. 
    If 125% of x is 100, then x is
    • A. 

      80

    • B. 

      150

    • C. 

      400

    • D. 

      125

  • 39. 
    A is thrice as good a work- man as B and takes 60 days less than B for doing a job. The time in which they can do it together is:
    • A. 

      15 days

    • B. 

      30 days

    • C. 

      222 days

    • D. 

      60 days

  • 40. 
    A sells an article to B at a gain of 10%, B sells it to C at a gain of 5%. If C pays Rs 462 for it, what did it cost to A?
    • A. 

      Rs 500

    • B. 

      Rs 450

    • C. 

      Rs 600

    • D. 

      Rs 400

  • 41. 
    Directions for the questions : The following pie-chart shows the preference of musical instruments of 60,000 people surveyed over whole India. Examine the chart and answer the questions. If 2100 people be less from the number of people who prefer Flute, the percentage of people who prefer Flute would have been:
    • A. 

      9.5%

    • B. 

      6.5%

    • C. 

      7.5%

    • D. 

      8.5%

  • 42. 
    Directions for the questions: The following pie-chart shows the preference of musical instruments of 60,000 people surveyed over whole India. Examine the chart and answer the questions. The total number of people, who prefer either Sarod or Guitar, is greater than the total number of people who prefer either Violin or Sitar by:
    • A. 

      1200

    • B. 

      1600

    • C. 

      1100

    • D. 

      1400

  • 43. 
    Directions for the questions : The following pie-chart shows the preference of musical instruments of 60,000 people surveyed over whole India. Examine the chart and answer the questions. The number of people who prefer the musical instrument Sarod is:
    • A. 

      7400

    • B. 

      8400

    • C. 

      6400

    • D. 

      8600

  • 44. 
    Directions for the questions : The following pie-chart shows the preference of musical instruments of 60,000 people surveyed over whole India. Examine the chart and answer the questions. If 16% of the people who prefer Piano, would go with the people who prefers Flute, the percentage of people who prefer Flute would have been
    • A. 

      13.5%

    • B. 

      14.5%

    • C. 

      15.5%

    • D. 

      12.5%

  • 45. 
    Directions for the questions : The following pie-chart shows the preference of musical instruments of 60,000 people surveyed over whole India. Examine the chart and answer the questions. The number of people who prefer Guitar is greater than the total number of people who prefer either Flute or Piano by:
    • A. 

      1200

    • B. 

      1100

    • C. 

      1300

    • D. 

      1400

  • 46. 
    Directions for the questions : Circle graph given below shows the expenditure incurred in bringing out a book by a publisher. Study the graph and answer the question. The central angle of the sector for the cost of the paper is:
    • A. 

      22.50

    • B. 

      160

    • C. 

      54.80

    • D. 

      57.60

  • 47. 
    Directions for the questions : Circle graph given below shows the expenditure incurred in bringing out a book by a publisher. Study the graph and answer the question. Royalty on the book is less than the Advertisement charges by:
    • A. 

      3%

    • B. 

      25%

    • C. 

      20%

    • D. 
  • 48. 
    Directions for the questions : Circle graph given below shows the expenditure incurred in bringing out a book by a publisher. Study the graph and answer the question. If 5500 copies are published, Miscellaneous expenditures amounts to Rs 1848 and publisher's profit is 25%, then marked price of each copy is
    • A. 

      Rs 12.50

    • B. 

      Rs 10.50

    • C. 

      Rs 10

    • D. 

      Rs 8.40

  • 49. 
    Directions for the questions : Circle graph given below shows the expenditure incurred in bringing out a book by a publisher. Study the graph and answer the question. If the cost of printing is Rs 17,500, the Royalty is :
    • A. 

      Rs 8750

    • B. 

      Rs 6300

    • C. 

      Rs 7500

    • D. 

      Rs 3150

  • 50. 
    Directions for the questions : Circle graph given below shows the expenditure incurred in bringing out a book by a publisher. Study the graph and answer the question. It the Miscellaneous charges is Rs 6,000, the Advertisement charges are:
    • A. 

      Rs 27,000

    • B. 

      Rs 90,000

    • C. 

      Rs 12,000

    • D. 

      Rs 1,333.33