SarkariPYQ

Quantitative Aptitude PYQ — Page 377

24,303 questions across SSC exams.

  1. SSC CGL • 2024

    If 2\ tan\ θ = 3, then 3\ sin\ θ\ - 2\ cos\ θ over 3sin\ θ\ +\ 2\ cos\ θ is equal to:

  2. SSC Selection Post • 2022

    The average of 33 numbers is 70. The average of the first 17 numbers is 65, and the average of the 17 numbers is 74. If the 17th number is excluded, what is the average of the remaining numbers (approximate to one decimal place)?

  3. SSC GD • 2019

    The height of a cone is 24 cm and radius of its base 10 cm.If the rate of painting it is Rs. 28/cm², then what will be the total cost in painting the cone from outside?

  4. SSC Selection Post • 2022

    What is the area (in hectares) of a rhombus-shaped field whose side is 146 m and one of its diagonals is 192 m?

  5. SSC CHSL • 2023

    Simplify the given expression. (x³-y³)(x+y)over x²+xy+y²

  6. SSC CHSL • 2024

    Sumit’s income in 2020 was Rs 21,000. He gets an increment of 10% every year. What was his income in 2022?

  7. SSC MTS • 2022

    Points P and Q are 400 km apart. A person starts from P towards Q at 6 a.m. at a speed of 20 km/h. Another person starts from Q towards Pat 6 : 30 a.m. at a speed of 30 km/h. At what time will they meet?

  8. SSC Selection Post • 2020

    Let d + 2(2b + c) = 19. What will be the remainder when the 4-digit number abcd is divided by 8?

  9. SSC CHSL • 2021

    If 9x² - 6x + 1 = 0, then the value of 27x³ + (27x³)⁻¹ will be:

  10. SSC CGL • 2019

    Pipes A and B can fill a tank in 16 hours and 24 hour, respectively. Pipe C can alone empty the full tank in x hours. All the pipes were opened together at 10:30 am, but C was closed at 2:30 pm. If the tank was full at 8:30 pm on the same day, then what is…

  11. SSC CHSL • 2025

    The amount received on a certain sum at the same annual rate of interest after 3 years and 5 years on compound interest (compounding annually) is Rs. 5324 and Rs. 6442.04 respectively. What is that sum?

  12. SSC Selection Post • 2020

    The compound interest on a certain sum at a certain rate percentage p.a. for the second and third years is ₹3,960 and 4,356, respectively. What sum is the amount of the same sum at the same rate in 21/2 years, interest compounded annually?

  13. SSC CHSL • 2020

    Two sides of a triangle are of length 3 cm and 8 cm. If the third side is ‘x’ cm, then:

  14. SSC CGL • 2022

    The simple interest on a sum of money at 10% per annum for 4 years is Rs3200. What will be the amount (in Rs) of the same sum for the same period at the same rate of interest when the interest is compounded annually?

  15. SSC CGL • 2020

    A furniture shopkeeper allows a discount of 16% on the marked price on the goods to his customers and still gains 20%. What is the marked price of a dining table, which costs the shopkeeper Rs.11,900?

  16. SSC CHSL • 2021

    If sinθ+cosθ over sinθ-cosθ=3, then the value of sin⁴θ-cos⁴θ is equal to:

  17. SSC CGL • 2024

    The ratio of expenditure to savings of a woman is 4 : 1. If her income and expenditure are increased by 20% and 10%, respectively, then find the percentage change in her savings.

  18. SSC CGL • 2023

    The given table represents the monthely income of 100 families of a locilaty. [Table] The number of families having income range 19000 - 22000 is :

  19. SSC CHSL • 2025

    What is the slope of the line that passes through the points (2, 4) and (6, 10)?

  20. SSC CHSL • 2025

    What is the x-intercept of the line given by 2x - 3y = 12?

  21. SSC CGL • 2024

    If A = 15°, then what is the value of 11 √(2) cos3A + 10sin2A over 7√(3) sin4A .

  22. SSC CHSL • 2024

    In a triangle ABC, AB = AC. BC is extended to D such that CD = AB and the angle ADC is 30°. What are the angles of triangle ABC?

  23. SSC Selection Post • 2022

    Three successive discounts of 40%, 25% and 20%, respectively, on the marked price of a chair, are equal to a single discount of ₹960. The marked price (in₹) of the chair is:

  24. SSC CHSL • 2025

    The amount received on a certain sum at the same annual rate of interest after 3 years and 5 years on compound interest (compounding annually) is Rs. 15972 and Rs. 19326.12 respectively. What is that sum?

  25. SSC CGL • 2024

    What is the volume (in cubic units) of a cylinder with a height equal to the diameter and a radius is 4 units?

  26. SSC CHSL • 2025

    Two containers, A and B, hold 20 litres and 30 litres of liquid mixture, respectively. Container A has milk and water in the ratio 3 : 2, while container B has them in the ratio 4 : 1. If the entire contents of both containers are poured into a larger vessel…

  27. SSC GD • 2019

    The compound interest on a sum for 5^(th)year is Rs. 7800 and compound interest for sixth year is Rs. 9048 (interest is compounded annually). What is the rate of interest?

  28. SSC CHSL • 2021

    Simplify the following expression. (0.8 x 0.8 x 0.8 + 0.6 x 0.6 × 0.6) / (0.08 x 0.08 + 0.06 x 0.06 - 0.08 x 0.06)

  29. SSC GD • 2019

    The value of 1/3 + 6/7 ÷ 6/3 + 8/9 - 2/3 × 4/3 is :

  30. SSC Selection Post • 2019

    Find the surface area (in cm) of a cube with one of its side as 6 cm.

  31. SSC CGL • 2020

    Two bottles of the same capacity are 35% and [Image] % full of orange juice, respectively. They are filled up completely with apple juice and then the contents of both bottles are emptied into another vessel. The percentage of apple juice in the mixture is:

  32. SSC CGL • 2023

    To have a surface area of 9π square units of a ball, what should be the radius (in units) of the ball?

  33. SSC Selection Post • 2019

    If the seven digit number 5x634y2 is divisible by 88 such that x≠y, then what is the value of (2y - 3x)?

  34. SSC CHSL • 2022

    If 1 + tan θ=√(3) , then √(3) cot θ - 1 = ___.

  35. SSC CHSL • 2025

    The price of a movie ticket for adults and children is in the ratio 5 : 3. If an adult ticket costs 250, what is the price of a child ticket?

  36. SSC MTS • 2022

    The value of 2/3 of 5/8 of 276 − √(7056) is:

  37. SSC CGL • 2024

    A cellphone is available for Rs 600 or for Rs 300 cash down payment together with Rs 360 to be paid after two months. Find the rate of interest charged under the scheme.

  38. SSC CGL • 2025

    A and B start a business with capitals in the ratio 4:3. After 4 months, A withdraws ₹8,000 and B doubles his investment. The initial investment of A is ₹40,000, and the total profit after 1 year is ₹72,000. Find the profit ratio of A and B.

  39. SSC CGL • 2023

    Simplify, (x³ + x² - x - 1)/(x - 1)

  40. SSC CHSL • 2023

    Which of the following number is NOT divisible by 11?

  41. SSC CHSL • 2022

    If cot 75º = 2 - √3. Find the value of cot 15º.

  42. SSC CGL • 2023

    Three successive discounts of 10% are available on the sale of a washing machine with a marked price of ₹55,000. Find the final selling price (in ₹) of the washing machine.

  43. SSC CHSL • 2023

    The following table gives the marks obtained by six studeats in five different subjects in an examination. The numbers in the bracket give the maximum marks in each subject. [Table] What are the average marks obtained by all six students in chemistry?

  44. SSC CHSL • 2024

    If the diameter of the base and curved surfaced area of a cylinder are 14 cm and 352 cm², respectively, then the total surface area of the cylinder is equal to:

  45. SSC CHSL • 2025

    In a class of a certain number of students, if a student weighing 30 kg joins, the average weight increases by 1 kg. If another student weighing 30 kg joins, the average increases by 1.5 kg over the original average. What was the original average weight of…

  46. SSC CHSL • 2020

    In a circle, PQ and RS are two diameters that are perpendicular to each other. Find the length of the chord PR.

  47. SSC CGL • 2025

    Mohan started a business with ₹80,000. After 4 months, Sohan joined with ₹1,20,000. After another 4 months, Mohan withdrew ₹20,000. What is the ratio of their profits at the end of the year?

  48. SSC CGL • 2023

    The ratio of the length to width of a certain rectangle is 3 : 2 and the area is 150 cm². The perimeter of the rectangle (in cm) is:

  49. SSC CHSL • 2020

    The given bar graph shows the biscuit exports of India over a period of five years. Study the graph and answer the question that follow. [Image] In which two years was the value per tonne equal?

  50. SSC CHSL • 2023

    X, Y, and Z are three equalateral triangles. The sum of the areas of X and Y is equal to the area of Z. If the side lengths of X and Y are 6 cm and 8 cm, respectively, then what is the length of Z?