SarkariPYQ

Quantitative Aptitude PYQ — Page 69

24,303 questions across SSC exams.

  1. SSC CGL • 2022

    The expression ((1-sin θ+cosθ)²(1-cos θ)sec³ θ cosec² θ)/((sec θ - tan θ)(tan θ + cot θ)), 0⁰ is equal to:

  2. SSC Selection Post • 2025

    In a company, 65% of the employees are above 35 years of age. Among them, 80% are males and the rest are females. If there are 1560 female employees above 35 years, find the total number of employees in the company.

  3. SSC Selection Post • 2025

    The difference between the compound interest and simple interest on ₹10,000 for 2 years at 5% per annum is:

  4. SSC CGL • 2020

    In a triangle, ABC, D is a point on BC such that AB/AC = BD/DC . If ∠B = 68º and ∠C = 52º, then the measure of ∠BAD is equal to:

  5. SSC Selection Post • 2025

    The average of five numbers is 28. If one number is removed, the average becomes 25. What is the removed number?

  6. SSC CGL • 2018

    A and B invest in a business in the ratio 2 : 5. If 50% of the total profit goes to charity and A's share is Rs 3.6 lakhs, the total profit is Rs __ lakhs.

  7. SSC Selection Post • 2025

    How many diagonals does a regular nonagon have?

  8. SSC CGL • 2018

    In the given figure, ABCD is a square of side 14 cm. E and F are mid points of sides AB and DC, respectively. EPF is a semicircle whose diameter is EF. LMNO is a square. What is the area (in cm²) of the shaded region ? [Image]

  9. SSC CGL • 2019

    Let x = 27⁽1/6) - √(6 3over4) and y = √(45) + √(605) +√(245)over √(80)+ √(125) , then the value of x² + y² is?

  10. SSC CGL • 2018

    In the given figure, ABCD is a square. EFGH is a square formed by joing mid points of sides of ABCD. LMNO is a square formed by joining mid point of sides of EFGH. A circle is inscribed inside EFGH. If area of circle is 38.5 cm², then what is the area (in…

  11. SSC CGL • 2018

    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…

  12. SSC Selection Post • 2025

    A trader buys 150 mobile phones at ₹8,000 each. He finds 5% of the phones defective and sells them at a 50% discount (on cost price). The rest are sold at a 10% profit. What is his overall profit or loss?

  13. SSC CGL • 2019

    The value of [Image] is ?

  14. SSC Selection Post • 2025

    A, B, and C can complete a work in 24, 36, and 72 days respectively. A works daily, and B and C assist him every 4th day. In how many days will the work be completed?

  15. SSC CGL • 2019

    The point of intersection of the graphs of the equations 3x - 5y = 19 and 3y - 7x + 1 = 0 is P(α, β). What is the value of (3α - β)?

  16. SSC CGL • 2020

    The areas of three adjacent faces of a cuboidal tank are 3m², 12m²and 16 m². The capacity of the tank, in liters, is:

  17. SSC Selection Post • 2025

    If 6 men can complete a work in 16 days, how many men are required to complete the same work in 12 days?

  18. SSC CGL • 2017

    A shopkeeper buys a product of Rs 150 per Kg. 15% of product was damaged. At what price (per Kg) should he sell the remaining so as to earn a profit of 20%?

  19. SSC Selection Post • 2025

    A student scores 25% more marks in Science than in Math. If he scores 240 marks in Science, how many marks did he score in Math?

  20. SSC Selection Post • 2025

    A fruit seller had some Orange. He sells 60% Orange and still has 380 Orange. Originally, he had:

  21. SSC Selection Post • 2025

    A, B, C share a profit of ₹4800 in the ratio 3:4:5. If C's share is reduced by ₹400, and the remainder is equally divided between A and B, what will be A's final share?

  22. SSC Selection Post • 2025

    If A’s salary is 25% more than B’s, then B’s salary is what percent less than A’s?

  23. SSC Selection Post • 2025

    A shopkeeper mixes 40 kg of rice at ₹55 /kg with another grade at ₹85 /kg. He sells the mixture at ₹70 /kg, making a profit of 16 ⅔ % . How many kg of the dearer rice did he use?

  24. SSC CGL • 2016

    4%of the selling price of an article is equal to 5% of its cost price. Again 20% of the selling price is Rs.120 more than 22% of its cost price. The ratio of cost price & selling price is

  25. SSC Selection Post • 2025

    A person sells 50 chairs for ₹10,000, suffering a loss of 15%. Estimate how many chairs should he sell for ₹9000 to make a profit of 10%?

  26. SSC Selection Post • 2025

    A number is increased by 20% and then decreased by 20%. What is the net change?

  27. SSC Selection Post • 2025

    In a basket of fruits, 60% are apples and 25% are oranges. What percentage are mangoes?

  28. SSC CGL • 2025

    Convert 1.5 radians to degrees.

  29. SSC Selection Post • 2025

    A cylindrical concrete pillar has a radius of 0.5 m and a height of 4 m. If the curved surface is to be plastered at ₹180 per m², what will be the total plastering cost for 12 such pillars?

  30. SSC Selection Post • 2025

    A can complete a task by himself in 6 days, while B can do it alone in 8 days. Together with C's assistance, they've agreed to finish the work for Rs. 3200. They successfully completed the task in 3 days. What amount should be given to C?

  31. SSC Selection Post • 2025

    Which of the following statements is true for all positive integers a and b, where a ≠ ba?

  32. SSC CGL • 2018

    A hollow sphere is melted to form small identical! hollow spheres. Inner and outer radius of the bigger sphere are 4 cm and 6 cm respectively. If inner and outer radii of the smaller sphere are 2 cm and 3 cm respectively, then how many smaller spheres can be…

  33. SSC Selection Post • 2025

    A machine stacks boxes. In the first minute, it stacks 15 boxes, but in the next minute, 5 boxes fall down. If the machine stacks in alternate minutes, how many minutes will it take to stack a total of 95 boxes?

  34. SSC CGL • 2022

    If an article is sold for Rs 355, there is a loss of 29%. At what price (in Rs) should it be sold to gain 31% of profit?

  35. SSC CGL • 2016

    If P = 99, then the value of P(P² + 3P + 3) is?

  36. SSC Selection Post • 2025

    Comparing the measure of an internal angle to the measure of an external angle of a regular polygon is 5:1. Find the number of sides of the polygon.

  37. SSC Selection Post • 2025

    Which of the following sets is a proper subset of rational numbers?

  38. SSC Selection Post • 2025

    A certain quantity of wheat is sufficient for 200 people for 30 days. If 50 more people join them, for how many days will the same quantity of wheat last?

  39. SSC Selection Post • 2025

    A 90-litre mixture of petrol and kerosene is in the ratio 4:5. Some of it is removed and replaced with pure petrol. The final ratio becomes 7:5. How much of the mixture was replaced?

  40. SSC Selection Post • 2025

    25% of a number is 60. What is the number?

  41. SSC Selection Post • 2025

    A large ship consumes 0.2 liters of fuel per km, and a smaller ship consumes 0.15 liters per km. If the large ship travels 500 km and the small ship travels 400 km, what is the total fuel cost at a rate of ₹110 per liter?

  42. SSC Selection Post • 2025

    A large ship consumes 0.2 liters of fuel per km, and a smaller ship consumes 0.15 liters per km. If the large ship travels 500 km and the small ship travels 400 km, what is the total fuel cost at a rate of ₹110 per liter?

  43. SSC Selection Post • 2025

    The average age of 5 members of a family is 20 years. If a new member joins the family, the average age becomes 18 years. What is the age of the new member?

  44. SSC CGL • 2020

    When positive numbers x, y and z are divided by 31, the remainders are 17, 24 and 27, respectively. When (4x - 2y + 3z) is divided by 31, the remainder will be:

  45. SSC CGL • 2018

    A hemispherical dome is open from its base and is made of iron. Thickness of dome is 3.5 meter. Total cost of painting domes outer curved surface is Rs 2464. If the rate of painting is Rs 8 per meter², then what is the volume (in meter³) of iron used in…

  46. SSC Selection Post • 2025

    A 40-liter mixture contains juice and water in the ratio 5:3. How much water (in liters) must be added to this mixture to change the ratio of juice to water to 2:3?

  47. SSC CGL • 2020

    Evaluate the following: 5 - [96 ÷ 4 of 3 - (16 - 55 ÷ 5)]

  48. SSC CGL • 2019

    If (√2 + √5 - √3) × k = -12, then what will be the value of k?

  49. SSC Selection Post • 2025

    If x + 1/(x + 2) = 6, then determine the value of (x + 2)³ + 1/(x + 2)³.

  50. SSC CGL • 2018

    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…