Quantitative Aptitude PYQ — Page 367

24,303 questions across SSC exams.

  1. SSC CGL • 2025

    Given x + y + z = 0, and x³+ y³ + z³= 3xyz, evaluate (x - y)³ + (y - z)³+ (z - x)³.

  2. SSC Selection Post • 2020

    If (cosec θ - sin θ ) (sec θ - cos θ ) (tan θ + cot θ ) - tan θ = 0, 0° θ (2cosθ + sinθ)/(5cosθ-sinθ) is:

  3. SSC Selection Post • 2022

    When x is subtracted from each of the numbers 64, 81, 85, and 109, the numbers obtained in this order are in proportion. What is the main proportion between (x + 3) and (2x - 1)?

  4. SSC CHSL • 2023

    The table given below shows the number of aerated drinks A, B, C, D, manufactured (in thousands) by a company over the years. [Table] In which year was the cumulative manufacturing of aerated drinks B and C the highest?

  5. SSC MTS • 2019

    Rs. 480 is invested at simple interest. It becomes Rs. 520 after 20 months. What is the interest rate per annum?

  6. SSC GD • 2019

    A wheel makes 4000 revolution is covering a distance of 60km. The radius of the wheel is :

  7. SSC CGL • 2021

    The area of a circular park is 12474 m², There is 3.5 m wide path around the park. What is the area (in m²) of the path? (Take π = 22/7 )

  8. SSC Selection Post • 2022

    The current population of a town is 50,000. If it is growing at 6%, compounded every year, what will be the population of the town after two years?

  9. SSC Selection Post • 2024

    The radius of a hemisphere is 9 cm. Its volume will be:

  10. SSC CHSL • 2023

    Aman deposited ₹ 10,000 at simple interest in a fund. The interest rate on the fund increases by 4% every year. If the interest rate at the time of the amount deposit was 8%. What is the interest eared (in ₹) by him after 5 years?

  11. SSC GD • 2021

    A shoe company offers a discount of 25% and then a further discount of 42%. What is the final sale price (in ₹) of a pair of shoe costing ₹ 2800?

  12. SSC CGL • 2022

    √((1+sinA)/(1-sinA))= ___,

  13. SSC GD • 2021

    The sum of two numbers m and n is 84 (m > n) and their difference is 6. What is the ratio of the two numbers?

  14. SSC CGL • 2020

    A train crosses a pole in 12 sec, and a bridge of length 170m in 36 sec, Then the speed of the train is?

  15. SSC GD • 2021

    Find the value of 45 - 3 × (4 of 6 + 12 ÷ 3 × 6 - 4 × 5) + 6.

  16. SSC Selection Post • 2024

    If 72*72 is divisible by 9, the missing * digit will be:

  17. SSC CHSL • 2025

    If x = √18 + √8, then what is the value of x²?

  18. SSC CGL • 2025

    A and B share a rented field. A utilizes 15 horses for 6 months, while B uses 25 cows for 5 months and 60 sheep for 6 months. If 3 horses are equivalent to 4 cows, and 2 cows are equal to 8 sheep, what portion of the rent does A pay?

  19. SSC MTS • 2022

    The following table shows the marks secured (out of 50) in two subjects by a number of students of a school. [Image] What is the ratio of the number of students who scored 40 and above in Hindi to the number of students who scored 20 and above in English?

  20. SSC CGL • 2023

    By working 5 hours a day, A can complete a task in 8 days and working 6 hours a day, B can finish the same task in 10 days, working 8 hours a day, they can jointly complete the task in:

  21. SSC CHSL • 2023

    The difference between 24 and the mean proportional of 7 and 63 is:

  22. SSC Selection Post • 2022

    What is the area of a triangle with a base of 18 cm and a height of 21 cm?

  23. SSC Selection Post • 2022

    The ratio of the distance between two places A and B to the distance between places B and C is 3 : 5. A man travels from A to B at 30 km/h and from B to C at x km/h. If his average speed for the entire journey is 40 km/h, then what is the value of (x - 7)…

  24. SSC CHSL • 2025

    51/2 + 551/6 + 5551/12 + 55551/20 + 555551/30 = ?

  25. SSC CGL • 2023

    The area of a sector of a circle is 110 cm² and the central angle of the sector is 56°, what is the radius of the circle? (Take π = 22/7)

  26. SSC CHSL • 2025

    A bus starts 30 minutes late and to reach its destination 150 km away on time, it increases its speed by 25 km/h. What is the usual speed of the bus?

  27. SSC CGL • 2022

    If a 10- diit number 54726x79y6 is divisible by 72, then what is the value of 5x - 3y, for the least value of y?

  28. SSC GD • 2021

    A sum fetched a total simple interest of ₹ 5,427 at the rate off 9% p.a. in 6 years. What is the sum?

  29. SSC CGL • 2019

    The difference between the compound interest and simple interest on Rs. x at 11% per annum for 2 years is Rs. 60.50. What is the value of x?

  30. SSC GD • 2019

    The profit on selling 35 mangoes is equal to the cost price of 7 mangoes. What is the profit percentage?

  31. SSC CHSL • 2021

    If 3cos²θ - 4sinθ + 1 = 0, 0° θ 90°, then the value of 3cos² θ +5tan² θ will be:

  32. SSC CHSL • 2024

    A person wants to buy 10 chairs. The total cost of 10 chairs is ₹4,500. After bargaining, the shopkeeper agrees to decrease the cost of each chair by 20%. Then, the person purchased 10% more chairs. What will be the cost of the chairs that he purchased?

  33. SSC CGL • 2023

    Raju and Rajat working together take 5 days to complete a piece of work. If Raju alone can do this work in 7 days, how long would Rajat take to complete the same work?

  34. SSC CGL • 2023

    The given table shows the percentage of marks obtained by five students in five different subjects in a school. [Table] What is Hitansh overall percentage (rounded up to 2 decimal places) in the examination?

  35. SSC CGL • 2024

    The average of the squares of the first 48 natural numbers is:

  36. SSC CHSL • 2025

    24 mango trees, 36 apple trees, and 48 trees have to be planted in rows such that each row contains the same number of trees of the same variety only. The maximum number of trees in a row may be planted in is:

  37. SSC CGL • 2025

    M and N start a business with Rs. 2,00,000 and Rs. 3,00,000 respectively. After 4 months, M adds Rs. 1,00,000 more, and N withdraws Rs. 50,000. At the end of 1 year, they make a profit of Rs. 1,80,000. What is N's share of profit?

  38. SSC Selection Post • 2023

    The ratio of cheese to sauce for a single pizza is 1 cup to 1/2 cup. If Rama used 15 cups of sauce to make a number of pizzas, then how many cups of cheese did she use on those pizzas?

  39. SSC Selection Post • 2022

    If a number N is divisible by 3, then which of the following is true?

  40. SSC Selection Post • 2024

    In a discount scheme, there is a 38% discount on the marked price of ₹1,250, but the sale is done at ₹434 only, then what additional discount did the customer get?

  41. SSC CGL • 2021

    The value of 3 ÷ 18 of 3 × 6 + 21 × 6 ÷ 18 - 3 ÷ 2 + 3 - 3 ÷ 9 of 3 × 9 is:

  42. SSC CGL • 2022

    The factors of X⁴ + X² + 25 are:

  43. SSC CGL • 2023

    A shopkeeper gains 20% in place of a 16% loss if the selling price of an article is increased by Rs. 324. The cost price of the article is:

  44. SSC Selection Post • 2022

    Find the average of 3²⁰ , 3³⁰ , 3⁴⁰

  45. SSC Selection Post • 2024

    In what duration (in years) will ₹1,500 amount to ₹2,250 at simple interest of 10% per annum?

  46. SSC CGL • 2022

    Simplify (cos 45^°)/(sec 30^°+cosec 30^°)

  47. SSC CHSL • 2024

    If the radii of two circles are 6 cm and 3 cm and the length of the transverse common tangent is 8 cm, then the distance between the two circles is:

  48. SSC CHSL • 2021

    The value of 25 + 184 ÷ [ 150 - {9 x 9 + (83 - 4 x 15)}] is:

  49. SSC CGL • 2023

    Using tan (A - B) = (tanA-tanB)/(1+tanA tanB) find the value of tan15º.

  50. SSC CGL • 2023

    The salaries of a father, mother, and daughter are in the ratio 2 : 3 : 5. What will be the ratio of their salaries if there was an increase of 15%, 10%, and 20%, respectively?