SarkariPYQ

Quantitative Aptitude PYQ — Page 220

24,303 questions across SSC exams.

  1. SSC CHSL • 2019

    If cotθ = 1/√3, then find the value of [(2 - sin²θ)/(1 - cos²θ)] + (cosec²θ + secθ).

  2. SSC Selection Post • 2020

    If 60% of (x – y) = 45% (x + y) and y = k% of x, then 49% of k is equal to:

  3. SSC CGL • 2025

    A circular jogging track has a radius of 50 m. A runner covers a curved path that subtends an angle of 120° at the center. What is the length of the arc she runs?

  4. SSC GD • 2019

    The value of 24 ÷ 4 × (3 + 3) ÷ 2 is:

  5. SSC GD • 2023

    An increase of 25 percent in the price of onions enables a woman to buy 5 kg less for Rs. 200. The increased price of onions per kg is:

  6. SSC GD • 2023

    If 45 men can do a work in 30 hours, then in how many hours will 20 men do the same work?

  7. SSC CGL • 2019

    The compound interest on a certain sum in 2 years 6 month at 10% p.a., interest compounded yearly, is Rs. 1,623. The sum is:

  8. SSC Selection Post • 2022

    If sec x = cosec (2x – 45°), 0° < x < 90°, then x is equal to:

  9. SSC GD • 2025

    The average age of 96 workers in a factory is 32 years. The average age of the men is 41 years and that of the women is 25 years. Find the number of women in the factory.

  10. SSC CHSL • 2020

    The equation of circle with centre (1, -2) and radius 4 cm is:

  11. SSC CHSL • 2024

    A car is sold for ₹5,00,000, which is 20% less than its original price. What was the original price of the car?

  12. SSC CGL • 2025

    If sin A + cos A = 1, then find the value of sin⁴A + cos⁴A

  13. SSC CGL • 2020

    Two racers run at a speed of 100 m/min and 120 m/min, respectively. If the second racer takes 10 minutes less than the first to complete the run, then how long is the race?

  14. SSC CHSL • 2020

    The numbers 24, 45, a, 35, 59, 83, 46, b, 29, 74 are serially numbered as they appear in the sequence. When each number is added to its serial number, then the average of the new numbers formed is 55. The average of the missing numbers (a and b) is:

  15. SSC CHSL • 2023

    Shobha purchased a saree for Rs. 5,130 after availing of two successive discounts of 10% and 5% What is the marked price of the saree?

  16. SSC Selection Post • 2024

    The monthly salaries of A and B together amount to ₹45,000. A spends 75% of his salary and B spends 80% of his salary. If now their savings are the same, then the salary of B (in ₹) is:

  17. SSC CHSL • 2021

    A bought an article for Rs.4,800 and sold it at a loss of 30%. With this amount, he bought another article and sold it at a gain of 60%. What was his overall gain loss?

  18. SSC CGL • 2022

    The inner circumference of a circular path enclosed between two concentric circles is 264m. The uniform width of the circular path is 3m. What is the area (in m²), to the nearest whole number of the path? (Take &Pi; = 22/7 )

  19. SSC CHSL • 2021

    Study the given pie - charts and answer the question that follows. The given pie chart represents the popularity of ice-cream flavours in the year 2005. [Image] In 2005, if 40% of the 'other' category is mix fruit flavour and 1570 people surveyed preferred…

  20. SSC CHSL • 2022

    With an average speed of 60 km/h, a train reaches its destination on time. If it goes with an average speed of 45 km/h, it is late by 20 minutes. The distance covered by the train is _.

  21. SSC Selection Post • 2024

    In an isosceles ΔLMN, LM = LN, and ∠MLN = 37°. Find ∠MNL.

  22. SSC MTS • 2019

    0.1 percent of 1.728 × 10⁶ spherical droplets of water, each of diameter 2 mm, coalesce to form a spherical bubble. What is the diameter (in cm) of the bubble?

  23. SSC CGL • 2019

    In a circle of radius 10 cm, with centre O, PQ and PR are two chords each of length 12 cm. PO intersects chord QR at the points S. The length of OS is:

  24. SSC MTS • 2022

    The ratio of the quantities imported of steel and iron in 2018 was 3 : 2 and in 2020 it was 1 : 1. The ratio of the quantities imported of steel in 2018 and 2020 was 4 : 3. What was the ratio of the quantities imported of iron in 2018 and 2020?

  25. SSC CGL • 2021

    A sum at a certain rate of simple interest becomes Rs 14880 fter 3 years and Rs 16800 after 5 years. Find the simple interest on the same sum at 10% per annum for 4 years (in Rs).

  26. SSC CGL • 2025

    What is the total measure of all interior angles in a ten-sided polygon?

  27. SSC CHSL • 2021

    Anamika paid Rs 4,965 as compound interest on a loan of Rs 15,000 after 3 years when compounded annually. Suman took a loan of Rs 10,000 at the same rate on simple interest. How much interest did Suman pay after 3 years?

  28. SSC CHSL • 2023

    The radius of a circle is 21 cm. What will be the area (in cm²) of a sector of the circle that subtends a 22.5&ordm; angle at the center? [Use π = 22/7 ]

  29. SSC CGL • 2022

    If the 5-digit number 750PQ is divisible by 3, 7 and 11, then what is the value of P + 2Q ?

  30. SSC CGL • 2016

    A bus travels 150 Km in 3 hours and then travel next 2 hours at 60 Km/hr. Then the average speed of the bus will be?

  31. SSC Selection Post • 2024

    A fruit seller has 10 kg of apples and 5 kg of grapes. The price of 1 kg of apples is ₹94.50 and that of grapes is ₹105. He sold all the fruits with him. What is the average amount (in ₹) received by the fruit seller?

  32. SSC CGL • 2024

    The mean proportional of 2 and 32 is _.

  33. SSC Selection Post • 2022

    A borrowed Rs.58,000 from B at 8% per annum simple interest for 2 years. He lent the same sum to C at 10% per annum compound interest, compounded annually for 2 years. How much did he earn (in Rs.) in the transaction at the end of 2 years?

  34. SSC CHSL • 2025

    In an aerospace materials lab, a technician cuts a model of a right circular cone (height 12 cm, base radius 6 cm) horizontally at half its height to form a smaller, similar cone at the tip. What is the volume of the smaller cone formed?

  35. SSC GD • 2023

    1 over 3 of grocery is sold at 18% profit, 1 over 4 is sold at 25% profit, and the rest at 30% profit. If the total profit is ₹1,980, then find the value of the grocery.

  36. SSC GD • 2025

    The value of 40 - 3 × [10 + 6 × {20 - 10 (6 - 5) × 2} ÷ 47] is:

  37. SSC Selection Post • 2022

    If aover 2 = bover 3 = cover 4 = 2a-3b+5cover k , then find the value of k.

  38. SSC Selection Post • 2023

    If 2x/(x + 2) + 1/(2x + 4) - (12 - x)/(2x² + 4x) = a + b/x , where a and b are integers, then the value of ab = ____ .

  39. SSC CHSL • 2025

    Two friends, ‘A’ and ‘B’ started running along a circular track in the same direction at the same time at 35 m/s and 21 m/s, respectively. If the length of the circular track is 3,500 metres, then find the time after the start at which they will meet each…

  40. SSC CHSL • 2025

    A father deposited ₹60,000 in a compound interest scheme for his son's business when his son was 20 years old. The scheme offers 15% compound interest per annum compounded annually. What will be the total amount his son will receive when he turns 24?

  41. SSC Selection Post • 2019

    If x : y = 4 : 5, then (2x + 3y) : (8x – 5y) is equal to:

  42. SSC CHSL • 2023

    What is the amount (in ₹) of debt that will be discharged in 6 equal instalments of ₹800 each, if the debt is due in 6 years at 5% per anmum?

  43. SSC Selection Post • 2022

    A field is in the shape of a rhombus. Its perimeter is 584 m, and the length of one of its diagonals is 220 m. What is the area (in m²) of the field?

  44. SSC CGL • 2025

    Convert 1.8 radians to degrees.

  45. SSC CHSL • 2022

    The table below shows the numbers of students from five different collages who participated in Olympaids of five different subjects during a given year. [Table] Find the difference between 'the range of the numbers of participants in the different Olympiads…

  46. SSC GD • 2026

    An article is sold for Rs. 420 after giving 30 percent discount on the marked price. Had the discount not been given, then there would have been a profit of 50 percent. What is the cost price of the article?

  47. SSC GD • 2024

    The area of a triangle is 1470 cm². If the base of this triangle is (3/5)th of the height corresponding to that base, then what will be the height of the triangle?

  48. SSC GD • 2019

    If A : B : C = 4 : 5 : 6, then what is the ratio of (1/A) : (1/B) : (1/C) ?

  49. SSC CGL • 2021

    The curved surface area of the cylinder is 462 cm² and its base area is 346.5 cm². What is the volume (in cm²) of the cylinder? ( Use π = 22/7)

  50. SSC GD • 2026

    The marked price of an article is 450 percent of its cost price. Its cost price is 25 percent of its selling price. What is the discount percentage?