SarkariPYQ

Quantitative Aptitude PYQ — Page 438

24,303 questions across SSC exams.

  1. SSC CGL • 2020

    The sum of the present ages of a father and son is 52 years. Four years hence, the son's age will be ¼ that of the father. What will be the ratio of the ages of the son and father, 10 years from now?

  2. SSC CGL • 2020

    If (sinθ + cosecθ)² + (cosθ + secθ)² = k + tan²θ + cot²θ, then the value of k is equal to:

  3. SSC CGL • 2020

    The circumference of the base of a right circular cone is 44 cm and its height is 24 cm. The curved surface area (in cm²) of the cone is: (Take π = 22/7 )

  4. SSC CGL • 2018

    Which of the following statement(s) is/are TRUE? I. √(64) + √(0.0064) + √(0.81) + √(0.0081) = 9.07 II. √(0.010201) + √(98.01) + √(0.25) = 11.51

  5. SSC CGL • 2020

    If cos(2θ + 54º) = sinθ, 0º 1/(tan 5θ + cosec (5 θ)/2) ?

  6. SSC CGL • 2019

    The volume of a right pyramid is 45√3cm³ and its base is an equilateral triangle with side 6 cm. What is the height (in cm) of the pyramid?

  7. SSC CGL • 2019

    The value of (tan29° cot61° - cosec²61°) + (cot²54°- sec²36°) + (sin²1° + sin²3° + sin²5° + ...+ sin²89°) is ?

  8. SSC CGL • 2018

    What is the compound interest earned on Rs 80,000 at 40% per annum in 1 year compounded quarterly?

  9. SSC CGL • 2016

    What is the ratio of expenses on food and miscellaneous ?

  10. SSC CGL • 2022

    A started a business with a capital of Rs 54,000 and admitted B and C after 4 months and 6 months, respectively. At the end of the year, the profit was divided among the three in the ratio 1 : 4 : 5. What is the sum (in rs) of the capitals invested by B and C?

  11. SSC CGL • 2020

    A can do a piece of work in 15 days. B is 25% more efficient than A, and C is 40% more efficient than B. A and C work together for 3 days and then C leaves. A and B together will complete the remaining work in :

  12. SSC CGL • 2018

    ABC is triangle. AB = 10 cm and BC = 16 cm. AD = 8 cm and is perpendicular to side BC. What is the length (in cm) of side AC?

  13. SSC CGL • 2020

    A, B and C can do a work seperately in 18, 36 and 54 days, respectively. They started the work together, but B and C left 5 days and 10 days, respectively, before the completion of the work. In how many days was the work finished?

  14. SSC CGL • 2022

    In Δ ABC, AB = 20 cm, BC = 7 cm and CA = 15 cm. Side BC is produced to D such that Δ DAB sim Δ DCA DC is equal to:

  15. SSC CGL • 2017

    What is the ratio of the number of females from the organisations B and C to the number of males from the organisations D and E?

  16. SSC CPO • 2025

    The radius of a circle is 12 cm. The length of a tangent drawn to this circle from a point at a distance of 15 cm from its center is

  17. SSC CPO • 2025

    If two circles with radii r and R share a common tangent, what is the distance between their centers?

  18. SSC CGL • 2018

    The amount (in Rs) received at 10% per annum compound interest after 3 years is Rs 1,19,790. What was the principal ?

  19. SSC CGL • 2016

    A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is

  20. SSC CGL • 2019

    A certain sum amounts to Rs. 4205.55 at 15% p.a. in [Image] years (interest compounded annually). The sum is:

  21. SSC CGL • 2018

    What is the value of 1/0.2 + 1/0.02 + 1/0.002 + ....... upto 9 terms?

  22. SSC CGL • 2020

    What is the difference between the number of girls in IT and the number of girls in ECE?

  23. SSC CGL • 2018

    An equilateral triangle of side 12 cm is drawn. What is the area (in cm²) of the largest square which can be drawn inside it?

  24. SSC CPO • 2025

    An observer 2 m tall is 30 m away from a roof. The angle of elevation of the top of the roof from his eye is 45°. What is the height of the roof?

  25. SSC CGL • 2018

    How many natural numbers are there between 1000 to 2000, which when divided by 341 leaves remainder 5?

  26. SSC CGL • 2020

    A and B are solutions of acid and water. The ratio of water and acid in A and B are 4 : 5 and 1 : 2, respectively. If x liters of A is mixed with y liters of B, then the ratio of water and cid in the mixture becomes 8 : 13. What is x:y?

  27. SSC CGL • 2019

    A certain number of persons can complete a work in 34 days, working 9hrs a day. If the number of persons is decresed by 40%, then how many hours a day should the remaining persons work to complete the work in 51 days ?

  28. SSC CGL • 2017

    Males from organisations A and B together form what percent of total number of males from organisations C, D and E together?

  29. SSC CGL • 2018

    What is the sum of first 40 terms of 1 + 3 + 4 + 5 + 7 + 7 + 10 + 9 + ….?

  30. SSC CGL • 2019

    How many kgs of salt costing Rs. 28/kg must be mixed with 39.6 kg of salt costing Rs. 16/kg, so that the selling the mixture at Rs. 29.90 there is a gain of 15%?

  31. SSC CGL • 2016

    The numerator of a fraction is multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 4. If the denominator 7 + C (C > -7) is a constant, then the minimum value of the fraction is:

  32. SSC CGL • 2016

    What is the average of expenses on clothing and rent?

  33. SSC CGL • 2018

    In how many months will Rs 8,000 yield Rs 2,648 as compound interest at 20% per annum compounded semi-annually?

  34. SSC CGL • 2022

    If 2x² + 5x + 1 = 0, then one of the values of x - 1/2x is:

  35. SSC CGL • 2020

    If (x + y)³ + 8 (x - y)³= (3x + Ay)(3x² + Bxy + Cy²), then the value of A + B + C is:

  36. SSC CGL • 2019

    If [Image] , where a and b are positive integers, then the value of √ab is closest to ?

  37. SSC CGL • 2018

    An investor invested his saving in the stock market. The value of his investments increased by 12% and 9% in the first year and the second year respectively. If the value of his investments after two years became Rs 97,664 then how much had he invested (in…

  38. SSC CGL • 2022

    P can finish a work in 18 days. When he had worked for 5 days, Q joined him. If both of them together completed the remaining work in 13/5 days, then in how many days can Q alone finish 66 2/3 % of the same work?

  39. SSC CPO • 2025

    How many distinct triangles can be formed by selecting any three vertices of a hexagon?

  40. SSC CGL • 2019

    A can do 40% of work in 12 days, whereas B can do 60% of the same work in 15 days. Both work together for 10 days. C completes the remaining work alone in 4 days. A, B and C together will complete 28% of the same work in ?

  41. SSC CGL • 2019

    If a 10-digit number 5432Y1749X is divisible by 72, then what is the value of (5X - 4Y)?

  42. SSC CGL • 2018

    If N = 1 + 11 + 111 + 1111 + … +111111111, then what is the sum of the digit's of N?

  43. SSC CPO • 2025

    cosθ = 3/5; find the value of tanθ.

  44. SSC CGL • 2018

    What is the rate of interest (in %) if simple interest earned on a certain sum for the 3 years is Rs 6,000 and compound interest earned for 2 years is Rs 4,160?

  45. SSC CGL • 2020

    In △ABC, ∠A = 90º, AD is the bisector of ∠A meeting BC at D, and DE Ʇ AC at E. If AB = 10 cm and AC = 15 cm, then the length of DE, in cm , is:

  46. SSC CGL • 2016

    The ratio of the average of expenses on food, clothing, and miscellaneous items to the average of expenses on savings and rent is

  47. SSC CGL • 2022

    If the selling price of 7 articles is equal to the cost price of 8 articles, then what is the profit percentage (correct to one decimal place)?

  48. SSC CGL • 2020

    A shopkeeper earns a profit of 21% after selling a book at 21% discount on the printed price. The ratio of the cost price and selling price of the book is :

  49. SSC CPO • 2019

    The number of neon lamps having a life of 600 hours or more but less than 800 hours is what percentage of the total number of neon lamps having a life of 800 hours or more?

  50. SSC CGL • 2016

    Each member of a club contributes as much rupees and as much paise as the number of members of the club. If the total contribution is Rs. 2525, then the number of members of the club is: