Quantitative Aptitude PYQ — Page 434

24,303 questions across SSC exams.

  1. SSC CGL • 2022

    A sum of money becomes Rs 11, 880 after 4 years and Rs 17,820 after 6 years on compound interest, if the interest is compounded annually. What is the half of the sum (in Rs)?

  2. SSC CGL • 2019

    If the curved surface area of a solid cylinder is one-third of its total surface area, then what is the ratio of its diameter to its height?

  3. SSC CGL • 2018

    If a stall sells a pizza at Rs 200 he makes 20% loss if he wants to make 10% profit then at what price (in Rs) should he sell?

  4. SSC CGL • 2020

    Surekha borrowed a sum of money and returned it in two equal annual installments of Rs. 5,547 each. If the rate of interest was 7- 1/2% p.pa compounded yearly, then the total interest paid by her was

  5. SSC CPO • 2025

    Find the volume of a cone with a radius of 6 cm and height of 7 cm. (Take π = 3.14)

  6. SSC CGL • 2016

    A can do as much work in 4 days as B can do in 5 days, and B can do as much work in 6 days as C in 7 days. In what time will C do a piece of work which A can do in a week?

  7. SSC CGL • 2020

    A certain number of students from school X appeared in an examination and 30% students failed . 150% more students than those from school X, appeared in the same examination from school Y. If 80% of the total number of students who appeared from X and Y…

  8. SSC CGL • 2018

    A wholesaler had 200 dozens of mangoes. He sold some of these mangoes at 20% profit and the rest at 10% profit, so that he made 13% profit on selling all the mangoes. How many mangoes (in dozens) did he sell at 20% profit?

  9. SSC CGL • 2017

    If sin P + cosec P = 2, then find the value of sin P - cosec P.

  10. SSC CGL • 2018

    α and β are the roots of quadratic equation. If α + β = 8 and α – β = 2√5, then which of the following equation will have roots α⁴ and β⁴?

  11. SSC CGL • 2022

    The value of 11.4̅+22.567̅-33.59̅ is:

  12. SSC CPO • 2025

    A chord AB of length 12 cm is common to two circles with diameters 13 cm and 15 cm, respectively. Find the distance between the centers of the circles.

  13. SSC CGL • 2019

    What is the remainder when (127⁹⁷ + 97⁹⁷) is divided by 32?

  14. SSC CGL • 2019

    In triangle ABC, ∠A = 58°. If I is the incenter of the triangle, then the measure of ∠BIC is:

  15. SSC CGL • 2020

    If x(3 - 2/x ) = 3/x , then the value of x³ - 1/x³ is equal to:

  16. SSC CGL • 2022

    Study the given pie charts and answer the question that follows. [Image] The number of students who passed the examination from institute D exceeds the number of students who appeared from institute A is x. The value of x lies between:

  17. SSC CGL • 2018

    If α and β are the roots of the equation x² + x – 1 = 0, then what is the equation whose roots are α⁵ and β⁵?

  18. SSC CGL • 2018

    At a village trade fair a man buys a horse and a camel together for Rs 51,250. He sold the horse at a profit of 25% and the camel at a loss of 20%. If he sold both the animals at the same price, then the cost price of the cheaper animal was ?

  19. SSC CPO • 2025

    Convert 60° to radians.

  20. SSC CGL • 2016

    If x sin³ θ + y cos³ θ = sin θ cos θ and x sin θ − y cos θ = 0 , then the value of x² + y² equals

  21. SSC CGL • 2018

    Ramesh travels by bus from city A to city B at an average speed of 44 km/hr. Suresh travels by taxi from city A to city B at an average speed of 77 km/hr and takes 3 hours lesser than time taken by Ramesh. What is the distance (in km) between the two cities?

  22. SSC CGL • 2019

    A sum amounts to Rs14,395.20 at 9.25% pa simple interest 5.4 years. What will be the simple interest on the same sum at 8.6% pa in 4.5 years ?

  23. SSC CGL • 2020

    A dealer marks his goods at 40% above the cost price. He sells 60% of the goods at the marked price giving 10% discount and the rest by giving 50% discount on the marked price. What is his overall profit/loss percent?

  24. SSC CGL • 2019

    The radius of the base of a right circular cylinder is intersected by 20%. By what % should height be reduced so that its volume remains the same as before?

  25. SSC CGL • 2016

    Ramesh and Rahman can do a work in 20 and 25 days respectively. After doing collectively 10 days of work, they leave the work due to illness and Suresh completes rest of the work in 3 days. How many days Suresh alone can take to complete the whole work?

  26. SSC CGL • 2019

    When an article is sold at its marked price, it gives a profit of 25%. If a discount of 9.6% is allowed on the marked price, then the profit percentage will be?

  27. SSC CGL • 2020

    The are of the base of a right circular cone is 81 π cm² and its height is 12 cm. What is the curved surface area (in cm²) of the cone?

  28. SSC CGL • 2016

    If sec θ + tan θ = m(> 1), then the value of sin θ is (0^(&ordm;) < θ < 90^(&ordm;))

  29. SSC CGL • 2019

    If [Image] , then the value of A² + B² - C² is?

  30. SSC CGL • 2018

    In 4 years at simple interest the principal increases by 12%. Calculate the amount (in Rs) received at the end of 2 years on Rs 20,000 at the same rate if compounded annually?

  31. SSC CGL • 2018

    If the difference between the roots of the equation Ax² – Bx + C = 0 is 4, then which of the following is TRUE?

  32. SSC CGL • 2020

    At what rate per cent per annum will a sum of Rs 15,625 amount to Rs 21,952 in three years, if the interest is compounded annually?

  33. SSC CGL • 2018

    If the selling price is tripled and cost price doubled the profit would become 65%. What is the present profit (in %)?

  34. SSC CGL • 2017

    If cosx.cosy + sinx.siny = – 1 then cosx + cosy is:

  35. SSC CPO • 2025

    Convert 150 to radians.

  36. SSC CGL • 2020

    The number of students in section A and section B of a class are 40 and 52, respectively. The average score in mathematics of all the students is 75. If the average score of the students in A is 20% more than that of students in B, then what is the average…

  37. SSC CGL • 2022

    A student goes to school at a speed of 5 1/2 km/h and returns at a speed of 4 km/h. If he takes 4 frac3 4 hours for his entire journey, then the total distance covered by the student (in km) is:

  38. SSC CGL • 2018

    p³ + q³ + r³ – 3pqr = 4, If a = q + r, b = r + p and c = p + q, then what is the value of a³ + b³+ c³ – 3abc?

  39. SSC CPO • 2025

    The curved surface area of ​​a cone is 60π square centimeters, and its slant height is 10 centimeters. Find its height.

  40. SSC CGL • 2018

    On a certain item, profit is 150%. If the cost price increases by 25%, what will be the new profit margin (in %)?

  41. SSC CGL • 2022

    The value of (3(cosec²26⁰-tan²64⁰)+(cot²42⁰-sec²48⁰))/(cot(22⁰-θ )-cosec²(62⁰+θ )-tan(θ+68⁰ ) +tan²(28⁰-θ )) is:

  42. SSC CGL • 2022

    If (22 sqrt2)/(4sqrt2-sqrt3+sqrt5) = a + √5b, with a, b > 0, then what is the value of (ab) : (a+b)?

  43. SSC CGL • 2022

    Study the given graph and answer the question that follows. [Image] In 2020, the production of cement by company C increased by the same percentage as in 2019, over its previous year. The production (in million tonnes) of cement by company C in 2020 (correct…

  44. SSC CGL • 2020

    If √(11 - 3sqrt8) = a + b√2, then what is the value of (2a + 3b)?

  45. SSC CGL • 2016

    A and B can do a piece of work in 18 days, B and C in 24 days, A and C in 36 days. Working together they can do the work in?

  46. SSC CGL • 2018

    What is the value of √121 + √12321 + √1234321 + √12345432?

  47. SSC CGL • 2019

    A man sells goods at a certain price, 20% of which is his profit. If the price at which he buys the goods increases by 10% and he sells them at an 12.5% higher price, then what will be his profit percent (correct to one decimal place)?

  48. SSC CGL • 2018

    If a = (√3+√2)/(√3-√2) and b = (√3-√2)/(√3+√2) then what is the value of a²+b²-ab ?

  49. SSC CGL • 2019

    A person covers 40% of the distance from A to B at 8 km/hr. 40% of the remaining distance at 9 km/hr & the rest at 12 km/hr. His average speed (in km/hr) for the journey is?

  50. SSC CGL • 2017

    The value of the expression 2(sin⁶θ + cos⁶θ) – 3(sin⁴θ + cos⁴θ) + 1 is: