SarkariPYQ

Quantitative Aptitude PYQ — Page 119

24,303 questions across SSC exams.

  1. SSC CHSL • 2023

    If p + q = 12 and pq = 14, then find the value of p² - pq + q².

  2. SSC CGL • 2025

    A tangent is drawn from a point 17 cm from the center of a circle of radius 8 cm. Find the length of the tangent.

  3. SSC MTS • 2022

    A sum of money amounts to 5 times of itself in 20 years, when invested at a certain rate of simple interest per annum. What is the rate of simple interest per annum that is on offer?

  4. SSC CGL • 2024

    If secθ = √(2) , then is cosecθ equal to:

  5. SSC GD • 2025

    A refinery produces 3 grades of gasoline: Regular (85% octane), Mid-grade (90% octane), and Premium (95% octane). If 200 barrels of Regular, 100 barrels of Mid-grade, and 100 barrels of Premium are mixed, what is the average octane rating?

  6. SSC CGL • 2022

    The radius of a right circular cylinder is thrice of its height. If the height of the cylinder is 2.1 cm, then what is the volume of cylinder?

  7. SSC CHSL • 2020

    A and B working together can do 30% of the work 6 days. B alone can do the same work in 25 days. How long will A alone take to complete the same work?

  8. SSC CHSL • 2024

    ∆ABC and ∆PQR are similar. The areas of these two triangles are 289 sq.cm and 576 sq.cm, respectively. If PR = 12 cm, then AC = ?

  9. SSC CGL • 2025

    A tangent is drawn to a circle with a radius of 5 cm. At the point of tangency, what is the angle between the tangent and the radius?

  10. SSC CGL • 2021

    Akhil takes 30 minutes extra to cover a distance of 150 km if he drives 10 km/h slower than his usual speed. How much time will he take to drive 90 km if he drives 15 km per hour slower than his usual speed?

  11. SSC CHSL • 2020

    The measure of one of the exterior angles of a triangle is twice one of the interior opposite angles and the measure of the other interior opposite angles is 60ᵒ. The triangle is a/an:

  12. SSC CGL • 2022

    Three circles of radius 4 cm are kept touching each other. The string is tightly tied around these three circles. What is the length of the string?

  13. SSC CHSL • 2022

    A man bought a piece of land for ₹48,000. He sold two-fifth of it at a loss of 10%. At what gain percentage (rounded off to 1 decimal place) should he sell the remaining land to earn an overall profit of 42%?

  14. SSC CGL • 2023

    If a²+ b² + c²= ab + bc + ac, then the value of (11 a⁴+13 b⁴ + 17 c⁴)/(17 a²b+9bc² + 15 c²a) is.

  15. SSC Selection Post • 2024

    ΔABC and ΔABD are on a common base AB and AC = BD and BC = AD as shown in the given figure. [Image] Which of the following options is true?

  16. SSC CHSL • 2022

    Ruksana travelled at 60 km/h while going from point A to point B, and returned via the same route at a different speed. If Ruksana’s overall average speed during the two-way journey was 48 km/h, what was her speed while travelling from B to A?

  17. SSC Selection Post • 2020

    A sells an article to B at a 20% profit. B sells it to C at a 15% loss. C sells it to D at a 25% profit. If the difference between the profits of A and C is ₹49.50, then the cost price of the article for C is:

  18. SSC GD • 2024

    Which of the following number is divisible by 4?

  19. SSC GD • 2025

    P and Q can complete a piece of work in 28 days and 35 days, respectively. P begins to do the work and they work alternatively one at a time for one day each. In how many days will the whole work be completed?

  20. SSC CHSL • 2025

    A person sells 12 pens for ₹480 and suffers a loss equal to the selling price of 3 pens. What is the cost price of one pen?

  21. SSC GD • 2021

    The average weight of 8 persons increased by 2.5kg If a new person replaces one weighing 50kg. What is the weight of the new person?

  22. SSC Selection Post • 2022

    The following table shows the number of students in different streams in 5 departments. Study the table carefully and answer the question based on the table. [Table] Which department has the minimum number of students in all streams?

  23. SSC CGL • 2022

    Riya could not decide between discount of 30% or two successive discounts of 25% and 5%, both given on shopping of Rs.3,840. What is the different between both the discounts?

  24. SSC Selection Post • 2022

    A shopkeeper sold 6 shirts of company A for ₹4,290 at 10% profit and 8 shirts of company B for ₹6,156, adding 14% profit. What was his profit percentage (Correct to 2 decimal places)?

  25. SSC CHSL • 2021

    Study the given graph and answer the question that follows. [Image] What is the ratio of the total exports in 2014 and 2017 to the total imports in 2015 and 2018?

  26. SSC GD • 2024

    A train of lenght 384 metres crosses an electric pole in 12 seconds and crosses another train fo the same lenght travelling in opposite direction in 12 seconds. What is the speed of the second train?

  27. SSC GD • 2024

    The difference between the compound interest (compounding annually) and simple interest on a sum at the rate of 30 percent per annum for 2 years is Rs. 5400. What is the sum?

  28. SSC CGL • 2021

    On selling an article for Rs 246.80, the gain is 20% more than the amount of loss insured on selling it for Rs. 216. If the articles is sold for Rs. 220.75, then what is the gain/loss percent (correct to nearest integer)?

  29. SSC GD • 2023

    Johnson borrows ₹30,000 at 5% compound interest per annum. He wants to pay this amount back by the end of 2 years in two equal yearly installments. How much does he have to pay approximately at the end of each year?

  30. SSC CHSL • 2024

    The sides ST and TR and the median SU of the ΔSTR are equal to the sides MN and NJ and the median MV of the ΔMNJ, respectively. If ∠TSU = 46°, ∠NMJ = 79° and ∠MVN = 88°, what is the degree measure of 7/11 ∠SRT?

  31. SSC CGL • 2019

    The total production of type B cars in 2018, 2020, and 2021 taken together is approximately what percent more than the total production of type A cars in 2019 and 2022 taken together?

  32. SSC CGL • 2025

    A 5-foot person casts a 4-foot shadow. At the same time, a tree casts a 20-foot shadow. How tall is the tree?

  33. SSC CGL • 2023

    The simple interest on an amount for 6 years at 4% p.a. is ₹7,500 less than the simple interest on the same amount for 11 years. Find the amount.

  34. SSC CHSL • 2025

    If x + y + z = 0, and x² + y² + z² = 32, then find the value of xy + yz + zx.

  35. SSC GD • 2023

    The population of a village increases by 12½% in the first year and decreases by 8% in the second year. If the present population of the village is 3200, then what will be the population of the village after 2 years?

  36. SSC CHSL • 2024

    If Arun’s salary was decreased by 50% and subsequently increased by 50%, then how much percent did he lose?

  37. SSC CHSL • 2025

    Which of these number sets is NOT a subset of the Real Numbers?

  38. SSC CHSL • 2024

    If a : b = 3 : 4, b : c = 2 : 3, and c : d = 5 : 6, then a : b : c : d is:

  39. SSC MTS • 2022

    The following bar graph gives figures for the production of fans and of coolers by a large company in four consecutive years. [Image] Calculate the ratio of the number of fans produced in 1998 to the number of coolers produced in 2001.

  40. SSC Selection Post • 2019

    A person bought goods without getting a discount of 28%, but he had to pay ₹1960 more. How much (in ₹) did he pay for the goods if he got the discount?

  41. SSC Selection Post • 2023

    In a ΔPQR, If QR = 3 cm, PR = 5 cm and sin P = 3/5 , then ∠Q equals:

  42. SSC GD • 2025

    The third proportional to the numbers a and b is ab, which of the following statements is true?

  43. SSC CHSL • 2023

    Find the compound interest on Rs 50,000 for one year at 8% per annum when compounded half yearly.

  44. SSC CGL • 2021

    A sum of ₹25600 is invested on simple interest partly at 7% per annum and the remaining at 9% per annum. The total interest at the end of 3 years is ₹5832. How much money (in ₹) was invested at 9% per annum?

  45. SSC Selection Post • 2024

    Manoj earned ₹6,075 as simple interest on a certain sum at 9% per annum after 5 years. Find the sum invested by him.

  46. SSC CGL • 2023

    The value of sec x - cos x = ?

  47. SSC GD • 2025

    Evaluate: 16 + 12 ÷ 4 - 3 × 4

  48. SSC CHSL • 2020

    The area of a square park is 16x² + 8x + 1. What is the length of the park?

  49. SSC CHSL • 2023

    Ram needs to reach the examination center in 6 hours, the journey itself is 250 km. If Ram has covered (3/5)th of the distance in 3.5 hours, then what is the speed required to reach the destination 30 minutes earlier than the required time?

  50. SSC CHSL • 2021

    Suman and Lata working together can complete a task in 8 days. If Lata can complete the same task in 12 days, then how many days will Suman take to complete the same task?