Quantitative Aptitude PYQ — Page 395

24,303 questions across SSC exams.

  1. SSC Selection Post • 2020

    If a + b + c = 6, a² + b²+c² = 30 and a³+ b³ + c³ = 165, then the value of 4abc is:

  2. SSC CGL • 2021

    1 + 2 tan²θ + 2sinθsec²θ, 0°

  3. SSC CGL • 2019

    The ratio of the total production of type A cars in 2014 and 2016 and type C cars in 2013 taken together to the total production of type B cars and type D cars taken together in 2014 is:

  4. SSC CHSL • 2023

    The average age of a class of 6 girls is x years. Four new girls having ages x-2, x+4, x+8 and x + 10 joins the class. What is the new average age of the class?

  5. SSC CGL • 2022

    Observe the given graph and answer the following question. [Image] How many students obtained more than 135 marks?

  6. SSC CHSL • 2024

    In an isosceles triangle, the angle between equal sides is 40°. The bisectors of the other two angles will intersect each other at an angle of:

  7. SSC CHSL • 2023

    Study the given table and answer the question that follows. The table represents the mathematics marks of five students. [Image] What is the average mark?

  8. SSC Selection Post • 2022

    If a+b= 3 over 4 , and ab= 1 over 8 , then the value of a⁴+b⁴+ab³ +ba³ is:

  9. SSC CHSL • 2023

    The data of production (in million) of three types of medicines by three different companies is given below. [Table] Which is the following gives the minimum production of a medicine by any company?

  10. SSC CGL • 2021

    If 8(x + y)³ - 27(x - y)³ = (5y - x)(Ax²+ By² + Cxy), then what is the value of (A + B - C)?

  11. SSC CHSL • 2021

    In a survey it was found that in a constituency, 55% of voters are male and the rest are female. 40% of the male voters are literate and 33(1/3)% of the female voters are illiterate. What percentage of the voters are literate?

  12. SSC MTS • 2019

    P sold an article to Q at a profit of 20%. Q sold the same article to R at a loss of 25%. R sold the same article to T at a profit of 50%.If P bought the article at ?100, then at what price did T buy that article?

  13. SSC GD • 2019

    A park is in the shape of a rectangle. Its length and breadth 240 m and 100 m, respectively. At the centre of the park. there is a circular lawn. The area of the park, excluding the lawn is 3904 m². What is the perimeter (in m) of the lawn? (use π = 3.14)

  14. SSC CHSL • 2025

    A sphere is tightly enclosed inside a cube of side length a. If the cube is then inscribed inside another sphere, what is the ratio of the inner to outer sphere volumes?

  15. SSC CGL • 2025

    Find the difference: 6.4 - (2 5/8 + 1.75)

  16. SSC CGL • 2021

    The ratio of two number A and B is 5 : 8. If 5 is added to each of A and B, then the ratio of A and B becomes 2 : 3. The sum of A and B is :

  17. SSC CGL • 2025

    A vendor purchases 7 shirts at the marked price of 6 shirts. If he sells each shirt after giving a 4% discount on its marked price, what is his profit percentage?

  18. SSC Selection Post • 2024

    The surface area of a sphere is 2464 cm². Calculate its volume. (Use π= 22 over 7)

  19. SSC CHSL • 2022

    The base of a 12 cm-high wooden solid cone has a circumference of 44 cm. Find its volume. (use π = 22/7)

  20. SSC Selection Post • 2022

    If A : B = 1.2 : 2.5 and B : C = 1 : 1.4, What is A : B : C?

  21. SSC CHSL • 2024

    Simply: 469 ÷ [270 ÷ ( 3over7 × 35) + (19 × 3) − ( 21over2-5over2 )]

  22. SSC GD • 2019

    The average weight of a certain number of students in a group is 54 kg. if 12 students of average weight 52 kg join the group, then the average weight of all the students in the group decreases by 750 g. what was the number of students, initially in the group?

  23. SSC CHSL • 2025

    An equilateral triangular plot of land has a side length of 75 meters. A landowner wants to put a rope around the entire plot. If the rope costs ₹15 per meter, what is the total expense?

  24. SSC Selection Post • 2024

    A train covers 40 km between two stations in 45 minutes. It covers another 30 km in 30 minutes and the remaining 20 km in 15 minutes. Find the average speed of the train for the whole journey.

  25. SSC Selection Post • 2022

    The three successive discounts of 18%, 12% and 10% is equivalent to a single discount of:

  26. SSC Selection Post • 2022

    A certain sum amounts to ₹15,179 in 8 1/2 years at 9% p.a. simple interest. What will be the simple interest (in ₹) on the same sum in 5 1/2 years at the same rate of interest?

  27. SSC Selection Post • 2022

    Amit can complete a piece of work in 4 days and Raju can complete the same in 6 days. How long will they take, if both Amit and Raju work together?

  28. SSC MTS • 2022

    The lengths, the breadths, and the volumes of two cuboids are in the ratios of 4 : 5, 3 : 4, and 2 : 3, respectively. What is the ratio of their heights?

  29. SSC Selection Post • 2022

    Mahesh and Suresh can complete a work in 16 days and 12 days, respectively. Starting with Mahesh, they work on an alternate basis. How many days will it take to finalise the complete work?

  30. SSC CHSL • 2025

    Average of consecutive even natural numbers from 2 to 'N' is 36. What is the value of 'N'? (where N is an even natural number)

  31. SSC CGL • 2021

    If the 9 -digit number 89x64287y is divisible by 72, then what is the value of (3x + 2y) ?

  32. SSC CHSL • 2023

    If sec θ + tan θ = 5, then what is hte value of sec θ - tan θ ?

  33. SSC Selection Post • 2022

    A certain sum amounts to rupees ₹12456 in 3 1over2 years at 8.5% p.a. simple interest. What will be the simple interest on the same sum in 6 1over4 years at the same rate of interest?

  34. SSC CHSL • 2019

    The simplified value of [Image]

  35. SSC CGL • 2022

    Suppose ΔABC be a right-angled triangle where ∠A = 90° and AD ⊥ BC. If area (ΔABC) = 80 cm²and BC = 16 cm, then the length of AD is:

  36. SSC Selection Post • 2020

    Kivand and Dinesh travel a distance of 60 km such that the speed of Kivand is faster than Dinesh's. The sum of their speeds is 80 km/h, and the total time taken by both is 3 hours 12 minutes. Find the speed of Kivand?

  37. SSC CGL • 2025

    What is the compound interest on ₹8000 for 2 years at 10% per annum?

  38. SSC CHSL • 2021

    In an isosceles △ ABC, AB = AC = 25 cm, BC = 14 cm. Calculate the value of AD

  39. SSC CHSL • 2023

    In a circle of radius, 14 cm. an arc subtends an angle of 90° at the center. The length of the arc (in cm) is equal to: (Take π= 22/7 )

  40. SSC CGL • 2019

    Find the ratio of quantity of liquid Z in mixture A and B combined to the sum of quantities of X in liquid C and Y in liquid D.

  41. SSC Selection Post • 2022

    If a + b + c = 1, ab + bc + ca = -8 and a³ + b³ + c³ = -11, then what is the value of aoverbc + boverac + coverab ?

  42. SSC CHSL • 2025

    What is the fourth proportional to 2, 6, 4?

  43. SSC MTS • 2022

    A survey was conducted to find out which genre of movies people liked the most. 1,200 people answered the survey. The following pie chart shows the result of that survey. [Image] What is the number of people who liked science fiction?

  44. SSC CHSL • 2019

    Which type of vehicle showed 32% increase in export in 2015 as compared to that in the previous year?

  45. SSC Selection Post • 2022

    By reducing the selling price of an article by ₹900, a profit of 25% turns into a loss of 5%. The original selling price of the article (in ₹) is:

  46. SSC CGL • 2023

    R’s weighing machine shows 400 gm when the actual weight is 350 gm. The cost price of almonds is ₹880 per kg and packets of 200 gm are made using the faulty machine. What should be the selling price (in ₹) of each packet to get a profit of 25%?

  47. SSC Selection Post • 2022

    If 2x - 1overx = 7, x ≠ 0, then what is the value of 8x⁶+5x³-1over8x⁶-25x³-1 ?

  48. SSC CGL • 2022

    If (cos q + sin q) = 31/25, then what will be the value of cos²q?

  49. SSC Selection Post • 2020

    If x² - 2√5x + 1 = 0, then which of the following is the value of x³ + 1/(x³) ?

  50. SSC GD • 2021

    The value of 8 - [88 ÷ 2 of 11 - (22 - 72 ÷ 4)] is: