SarkariPYQ

Quantitative Aptitude PYQ — Page 322

24,303 questions across SSC exams.

  1. SSC CGL • 2023

    On day one, with speed v, R covers a distance x, in t time. On the next day, he covers a distance 2.5x in 0.75t time. What is his speed the next day?

  2. SSC CGL • 2020

    The value of (sec⁶θ - tan⁶θ - 3sec²θ tan²θ + 1)/(cos⁴θ - sin⁴θ + 2sin²θ + 2) is:

  3. SSC CGL • 2024

    If 45° and 65° are the angles of a triangle, then find the exterior angle of the third angle (remaining angle).

  4. SSC Selection Post • 2022

    The value of (tan25ᵒcot65ᵒ-cosec²65ᵒ)+cot²61ᵒ-sec²29ᵒover sin²5ᵒ+sin²7ᵒ+sin²9ᵒ+...+sin²85ᵒ is:

  5. SSC Selection Post • 2022

    Two trains start at the same time from two stations and proceed towards each other at speeds 88 Km/h and 75 Km/h, respectively. When they meet, it is found that one train has travelled 65 Km more than the other. What is the distane(in Km) between the two…

  6. SSC CHSL • 2020

    Study the following histogram and answer the given question. A study was made for the number of persons of different age group visited in a week which is shown in given in the hostogram. Study the histogram and answer the question given below. [Image] What…

  7. SSC GD • 2021

    The surface areas of three coterminous faces of a cuboid are 5 cm², 16 cm² and 20 cm² respectively. Find the volume of the cuboid.

  8. SSC CGL • 2025

    If the amount at the end of the 2nd year and 3rd year on a certain principal at compound interest is ₹12,000 and ₹13,200, respectively, find the rate of interest per annum.

  9. SSC CGL • 2021

    Study the following table and answer the question: Percentage of marks obtained by six students A, B, C, D, E and F in five subjects. [Table] What are the average marks of students B, C, D and F in Math?

  10. SSC CHSL • 2024

    What is the value of (( 1/4 ÷ 1/4 × 1/4 ) × 1/4)/(( 1/8 + 1/8 × 1/8 )) + ( 1 - 4/9 ) ?

  11. SSC GD • 2019

    Piyush is running at the speed of 8 km/hr and he stops for 5 minutes to take rest at the end of every third km. What will be the time taken by Piyush to cover a distance of 56 km?

  12. SSC CGL • 2019

    If cosec θ = 13/12, then sin θ + cos θ - tan θ is equal to:

  13. SSC CHSL • 2023

    2/5 of marked price is equal to 5/8 of selling price. What is the discount percent?

  14. SSC CGL • 2021

    If x⁴ + 1/(x⁴)= 727, x > 1 , then what is the value of (x-1/x) ?

  15. SSC GD • 2021

    Sushma has invested 40% more than Reshma, Reshma has invested 30% less than Divya. If the amount invested by Divya is ₹ 6,000, then the amount invested by Sushma is:

  16. SSC CHSL • 2023

    The marked price of a sunglass is 1,350. It is sold at 1,188 after allowing a certain discount. Find the rate of discount.

  17. SSC CGL • 2023

    A train traveling at 70 km/h crosses another train traveling in the same direction at 34 km/h in 25 seconds. What is the combined length of both the trains (in metres)?

  18. SSC CHSL • 2025

    In a circle with center O, two parallel chords AB and CD are on opposite sides of the center. If the length of chord AB is 16 cm and chord CD is 12 cm, and the distance between them is 14 cm, find the radius of the circle.

  19. SSC CHSL • 2021

    Δ ABC ~ Δ EDF, Area ABC : Area DEF = 49 : 4, If AB, AC, BC are respectively, 10 cm, 14 cm, 21 cm then what is the length (in cm) of EF?

  20. SSC Selection Post • 2019

    In an innings, the average of the first 6 batsmen is 50, while that of the latter 5 batsmen is 20. If the scores of three batsmen from the first lot and three from the latter are swapped, the average of the first six becomes 40; then what would the average…

  21. SSC Selection Post • 2022

    The area of a triangular plot, whose sides are 100 m, 105 m and 145 m, is equal to a rectangular field, whose sides are in the ratio 7 : 10. The perimeter (in m) of the rectangular field is?

  22. SSC CHSL • 2024

    A dealer buys an article listed at Rs. 100 and gets successive discounts of 10% and 20%. He spends 10% of the cost price on transportation. At what price should he sell the article to earn a profit of 15%?

  23. SSC Selection Post • 2019

    A shopkeeper incurs a cost of ₹ 122 for the production of each article. He also incurs an additional expenditure of ₹ 27,000 which has no relation to the number of articles produced. He must sell the article for ₹ 225 during the season. If he fails to do so…

  24. SSC CHSL • 2021

    Study the given bar graph and answer the question that follows. A tea plantation company produces three varieties of tea - black tea, green tea and herbal tea. The production of the three varieties ( in million tonnes) over a period of six years from 2014 to…

  25. SSC GD • 2021

    Find the value of 3 × [ 5 - 1 ÷ 2 - { 3 + (4 - 2 ÷ 2) - ( 15 ÷ 5 of 3 )}]

  26. SSC CGL • 2025

    A marble is spherical in shape with a radius of 4 cm. If the marble is placed inside a cube with side length 10 cm, what is the volume of the cube that is not occupied by the marble?

  27. SSC CHSL • 2022

    If p³ + 3p² + 3p = 26, then the value of p² + 2p is:

  28. SSC CHSL • 2025

    A parallelogram has adjacent sides of 18 cm and 10 cm, and the angle between them is 60°. Find the exact area of the parallelogram and the height corresponding to the longer side.

  29. SSC CHSL • 2021

    If a + b - c = 0, then what is the value of (( b - c )²)/(4bc)+(( c - a )²)/(4ca)+(( a + b )²)/(4ab) ?

  30. SSC CGL • 2024

    In a constituency, 45% of the total number of voters are males and the rest are females. If 60% of the males are illiterate and 60% of the females are literate, then by what percent is the number of illiterate females more than that of literate males?…

  31. SSC CHSL • 2025

    The average of 5 consecutive even numbers is 46. If the next 3 consecutive even numbers are added, what is the new average?

  32. SSC CHSL • 2024

    A certain sum of money amounts to ₹1,860 in 2 years and to ₹2,130 in 3frac1 2 years at simple interest. Find the sum and the rate of interest, respectively.

  33. SSC CHSL • 2025

    Which of the following statements(s) is/are TRUE? (I) Area of a parallelogram whose base and corresponding altitude are 15 cm and 12 cm, respectively, is 180 cm² (II) The sum of all the interior angles of a regular octagon is 900°.

  34. SSC CGL • 2022

    The given histogram shows the heights of 232 students of an athletic club and their numbers. Study the histogram carefully and answer the questions that follows. [Image] If the histogram is to be presented by a line diagram, what would be the starting point…

  35. SSC CGL • 2025

    A triangle has vertices at A(2, 3), B(7, 1), and C(4, 6). What is its area?

  36. SSC Selection Post • 2022

    Mr.Jonathan invested Rs. 18,500 divided into two different schemes, A and B, at S.I of 15% and 12.5% respectively. If the total amount of the simple interest earned in 2 years is Rs. 5225, what was the amount invested in scheme A? (In Rs.)

  37. SSC CHSL • 2020

    In the given figure [Image] XYZ is a secant and ZT is a tangent. What is the value of x.

  38. SSC CGL • 2022

    A businessman cheats by using faulty weights, to the tune of 12% each time, when buying and selling material. What is the rise in his profit percentage using faulty weights only?

  39. SSC CHSL • 2024

    If 70% of the cost price of an article is equal to 40% of its selling price, what is the profit percentage?

  40. SSC CGL • 2025

    Three numbers are such that the second is 150% of the first, and the third is 80% of the second. What is the ratio of the first to the third?

  41. SSC Selection Post • 2022

    A train crosses a 1000 m long bridge in 52 seconds and another 700 m long bridge in 40 seconds. Assuming the train is running at the uniform speed. What is the speed (in km/h) of the train?

  42. SSC GD • 2019

    If the mean of the observations x, x + 4, x + 5, x + 7, x + 9 is 9, then the mean of the last three observations is :

  43. SSC CHSL • 2023

    If sin (p + q) = 1 and cos (p - q) = (sqrt3)/2 , find p.

  44. SSC CGL • 2023

    AB is the diameter of a circle with the center O. P as a point on it. If ∠AOP = 95° then find ∠OBP ?

  45. SSC CHSL • 2021

    If x⁸-2599x⁴+1=0, then the positive value of x - 1 over x will be:

  46. SSC CHSL • 2021

    AB is a chord of a circle with center O and P is any point on the circle. If

  47. SSC GD • 2019

    Three positive number are given. If the average of any two of them is added to the third number, the sums obtained are 172, 216 and 180. What is the average of the given three numbers?

  48. SSC CHSL • 2023

    Weight of Ayush and Abhishek are in the ratio of 8: 5. Abhishek's weight increases by 40 percent and the total weight of Ayush and Abhishek both increase by 60 percent. If the total weight becomes 104 kg, then what is the weight of Ayush after the increment?

  49. SSC CGL • 2025

    A square field has a diagonal of √(98) m. What is its area?

  50. SSC CHSL • 2025

    Two identical solid hemispheres are placed flat side to flat side, forming a sphere. Find the percentage of the sphere’s total surface area that comes from the flat circular faces of the hemispheres before joining.