SarkariPYQ

Quantitative Aptitude PYQ — Page 160

24,303 questions across SSC exams.

  1. SSC GD • 2025

    Two trains having lengths of 170 m and 480 m are running at speeds of 70 km/h and 80 km/h, respectively, in the same direction. The time taken (in minutes) by the faster train, coming from behind, to completely cross the other train is:

  2. SSC GD • 2025

    An aeroplane travels distances 1320 km, 1760 km and 2095 km at the rate of 528 km/h, 352 km/h and 419 km/h, respectively. Find the average speed (in km/h) of the aeroplane.

  3. SSC CHSL • 2025

    The ratio of incomes of A and B is 7:5 and the ratio of their expenditures is 3:2. If both save ₹4000 per month, what is A’s income?

  4. SSC CGL • 2024

    A dishonest fruit-seller sells fruits at 20% profit but he uses 950 gm weight in place of 1 kg. What is the profit percent?

  5. SSC CGL • 2023

    The fourth proportional of the numbers 8, 12 and 14 is:

  6. SSC CGL • 2022

    The given bar graph shows the income and expenditure ( in crores Rs) of a company over 5 years , from 2014 to 2018. Study the bar graph and answer the question that follows. [Image] In which of the following years the ratio of expenditure to income is the…

  7. SSC Selection Post • 2023

    A vehicle travels 200 metres in 5 sec and then another 250 metres in 5 sec. What is its average speed (in meters/sec)?

  8. SSC CGL • 2024

    What is the value of √(9sin² 26°+9sin² 64°+36over 32-7cos² 32°-7cos² 58°) ?

  9. SSC Selection Post • 2022

    Find the value of : 0.78³ + 0.22³ + 3 (0.78) (0.22) + 1.

  10. SSC MTS • 2022

    A shopkeeper marks up his price by 12% and then allows a 12% discount. What is his profit or loss percentage?

  11. SSC CHSL • 2024

    The cost price of a fan is ₹4,400. A merchant wants to make a 24% profit by selling it. At the time of sale, merchant declares a discount of 12% on the marked price. Find the marked price.

  12. SSC CGL • 2024

    A sum of money is divided among P, Q, R, and S in the proportion of 4 : 9 : 2 : 3. If Q gets ₹560 more than R, then the share of S is:

  13. SSC CGL • 2022

    If k-kcot²30° over 1+cot²30° =sin²60°+4tan²45°-cosec²60° , then the value of k (correct to two decimal places) is:

  14. SSC CGL • 2025

    If A + B = 90° and tan A = 2, determine the value of tan A × tan B.

  15. SSC CHSL • 2024

    The pie chart below depicts the percentage distribution of the costs associated with publishing a book. [Image] What will be the royalty rate for these books if the publisher is required to pay Rs.30,600 in printing costs for a specific number of volumes?

  16. SSC CHSL • 2025

    The amount at the end of the 2nd and 3rd years on a certain principal at CI is ₹4,232 and ₹4,655.20 respectively. Find the rate of interest per annum.

  17. SSC CHSL • 2019

    In which year is expenditure more than 40% as compared to the Expenditure in the previous year?

  18. SSC GD • 2024

    The selling price of an article is Rs. 1690. If discount of 35 percent is given, then what will be the marked price of the article?

  19. SSC GD • 2023

    If a train 90-m-long crosses a platform of 210-m-long in 20 sec, then what is the speed of the train?

  20. SSC CGL • 2021

    A heap of wheat is in the form of a cone whose base daimeter is 8.4 m and height is 1.75 m. The heap is to be covered by canvass. What is the area (in m² ) of the canvas required ? ( Use π = 22/7 )

  21. SSC CGL • 2019

    In a circle with center O, AB is the diameter and CD is a chord such that ABCD is a trapezium. If ∠BAC = 18°, then ∠CAD is equal to:

  22. SSC CHSL • 2020

    If a + b = 11 and ab = 15, then a² + b² is equal to:

  23. SSC CGL • 2023

    The rate at which a sum becomes four times of itself in 12 years at simple interest will be:

  24. SSC CHSL • 2025

    The average of 6 numbers is 18. If two numbers 14 and 22 are removed, what is the new average of the remaining numbers?

  25. SSC CHSL • 2023

    The sides of the three cubes of metal are 15 cm, 18 cm, and 25 cm, respectively. Find the side (in cm) of the new cube formed by melting these cubes together.

  26. SSC GD • 2023

    What is the length of the longest pole that can be placed in a room of dimensions 10 m × 10 m × 5 m?

  27. SSC CHSL • 2024

    A student is marked as qualified if he/she obtains marks above 40.5. Here, the ratio of the number of qualified students to that of students who are not qualified is:

  28. SSC GD • 2023

    A number is first increased by 20% and then reduced by 20%. What would be the percentage change in the number?

  29. SSC Selection Post • 2020

    If x + y + z = 3 and xy + yz + zx = -11, then what is the value of x³ + y³ + z³ – 3xyz?

  30. SSC CGL • 2020

    Let ab, a ≠ b, is a 2- digit prime number such that ba is also a prime number. The sum of all such numbers is:

  31. SSC GD • 2025

    100 chickooes were bought at ₹1210 per hundred and were sold at a profit of ₹940. Find the selling price (in ₹) per dozen of chickooes.

  32. SSC GD • 2025

    Evaluate: 16 + 8 ÷ 4 - 3 × 4

  33. SSC GD • 2023

    The marked price of an item was Rs. 4000 but the shopkeeper offered a double discount of 5 percent and 7 percent. In how much did he finally sell the item?

  34. SSC GD • 2019

    If P : Q = 5 : 6 and R : Q = 25 : 9, then what is the ratio of P : R?

  35. SSC CGL • 2021

    The surface area of a cube is 13.5 m². What is the length (in m) of its diagonal?

  36. SSC CHSL • 2020

    If the diameter of a circle bisects each of the two chords of the circle, then both the chords:

  37. SSC CGL • 2023

    If (a + b + c) = 16, and (a² + b² + c²) = 90, find the value of (ab + bc + ca).

  38. SSC CGL • 2025

    Three metallic spheres with radii 3 cm, 4 cm, and 5 cm respectively are melted together and recast into a single solid sphere. What is the radius of the new sphere?

  39. SSC CGL • 2020

    On simplification, (x³ - y³)/[x(x + y)² - 3xy] ÷ [y(x - y)² + 3xy]/(x³ + y³) × (x + y)² - (x - y)²/(x² - y²) is equal to:

  40. SSC Selection Post • 2022

    A sum of x will amount to ₹38,637 at 8% p.a. in 2 3/4 years, when the interest is compounded annually. The value of x is:

  41. SSC CGL • 2025

    A chord separates a circle into two segments. If the angle formed by the chord at the center is 120°, what is the angle formed at a point located in the major segment?

  42. SSC GD • 2024

    The profit earned on selling an article for Rs 4550 is 5 times of the loss incurred on selling the same article for Rs 3290. What will be the selling price of the article to earn a profit of 20 percent?

  43. SSC CHSL • 2025

    A 25% discount on an article brings the price to Rs. 600. What is the original price?

  44. SSC GD • 2025

    The price (per litre) of petrol increases by 50%. By what percent should its consumption be reduced such that the expenditure on it increases by 14% only?

  45. SSC CGL • 2023

    Find the value of √((1-sin 3θ)/(1+sin 3θ))

  46. SSC GD • 2023

    What is the surface area (in cm² ) of a sphere whose diameter is 21 cm?

  47. SSC CGL • 2024

    A circular arc whose radius is 24 cm makes an angle of 60° at the center. The perimeter of the sector formed is:

  48. SSC GD • 2024

    The diameter of a hemisphere is 21 cm. What is the total surface area of the hemisphere?

  49. SSC CHSL • 2024

    Find the surface area (in cm²) of a cardboard box in the shape of a cuboid whose length is 60 cm, breadth is half its length and height is one-third of its breadth.

  50. SSC Selection Post • 2019

    In ΔABC, ∠A = 48°. AB and AC are produced to points D and E respectively. If the bisectors of angle CBD and angle BCE meet at point O, then ∠BOC is equal to: