SarkariPYQ

Quantitative Aptitude PYQ — Page 327

24,303 questions across SSC exams.

  1. SSC CHSL • 2023

    If tan 2 θ = cot ( θ - 36°), where 2 θ is an acute angle, then the value of θ is:

  2. SSC CHSL • 2020

    The factors of the expression 2x² – 5x – 12 are:

  3. SSC CGL • 2020

    The following table shows the daily earnings of 45 skilled workers. [Table] How many workers earn less than Rs.1,100 in a day?

  4. SSC CGL • 2021

    If [Image] = 4sec θ, 0°

  5. SSC CGL • 2024

    What is the percentage of the number of employees in production department to the number of female employees of all the departments taken together? (correct to one decimal place)

  6. SSC CGL • 2024

    If m = a secA and y = b tanA, then find the value of b²m² - a²y²+ a² y²over b² m² + cos²A.

  7. SSC CHSL • 2025

    If (x+y):(y+z):(z+x)=7:9:13 for positive reals x,y,z, find x:y:z?

  8. SSC CGL • 2019

    One year ago, the ratio of the age (in years) of A to that of B was 4 : 3. The ratio of their respective ages, 3 years from now, will be 6 : 5. What will be the ratio of respective ages of A and B, 9 years from now?

  9. SSC GD • 2021

    Working together, A, B and C can do a certain work in 10 days. A is 20% more efficient than B, and C is 50% less than efficient than B, B alone can complete the same work in:

  10. SSC CHSL • 2023

    If the simple interest on ₹2,500 is more than the interest on ₹1,500 by ₹360 in 3 years, then find the rate of interest per annum.

  11. SSC GD • 2019

    If a sum of Rs. 2000 is lent at 10% p.a. compound interest, what is the interest for the second year?

  12. SSC CGL • 2020

    In a circle with radius 5 cm, a chord is at a distance of 3 cm from the centre. The length of the chord is:

  13. SSC GD • 2021

    A person lent a certain sum of money at 5% simple interest. If the interest after 6 years is ₹ 5, 600 less than the sum lent then what is the sum lent?

  14. SSC CGL • 2025

    Find the compound interest on ₹7,000 at 9% p.a. for 1 year 8 months, compounded annually.

  15. SSC MTS • 2019

    The average age of 12 boys is 15 years and the average age of 18 girls is 12 years. What is the combined average of the boys and girls,taken together?

  16. SSC Selection Post • 2024

    Rameshwar sold a bike at a loss of 15%. If the selling price had been increased by ₹3,375, there would have been a gain of 12%. Find the cost price of the bike.

  17. SSC Selection Post • 2022

    What is the difference between the compound interest and simple interest (in ₹, to the nearest integer) on ₹12,000 in 2 years at 8% per annum, compounded annually?

  18. SSC CHSL • 2023

    Simplify the given expression. (4913+343)/(289+49-119)

  19. SSC CHSL • 2023

    Aastha spends 15% of her total income on travelling and 20% of the rest income on food and then donates ₹380 and after that, she saves ₹2,000. Find her total income (in ₹).

  20. SSC GD • 2019

    Let x be the least number which when divided by 12, 15, 18, 20 and 27, the remainder in each case is 2, but x is divisible by 23. If x is divided by the sum of its digits then the quotient is:

  21. SSC Selection Post • 2023

    The average age of 17 persons is 37 years. The average age increases by 1 year when 2 new persons are included. What is the average age of the new persons?

  22. SSC CGL • 2024

    Which company had the maximum average production of T-shirts during these four years?

  23. SSC CHSL • 2024

    A shopkeeper charges his customer 14% more than the cost price. If a customer paid ₹18,240 for a mobile phone, then the cost price of the mobile phone was:

  24. SSC CHSL • 2025

    A vessel contained a certain amount of milk and water. When 20 liters of water were added to it, the new mixture had 40% milk. When 10 liters of milk were further added to this new mixture, the final mixture had 50% milk. The ratio of water to milk in the…

  25. SSC CGL • 2020

    The compound interest on a sum of Rs 5,500 at 15% p.a. for 2 years, when the interest is compounded 8 monthly, is:

  26. SSC CGL • 2023

    What is the whole surface area of a cone with a base radius of 6 cm and a height of 8 cm?

  27. SSC CGL • 2022

    If a³ + b³ = 218 and a + b = 2, then the value of √1-ab is :

  28. SSC CHSL • 2019

    The simplified value of 3 × 2 ÷ 3 of 2 × 3 ÷ (5 + 5 × 5 ÷ 5 of 5 – 5 ÷ 10 of 1/5) is:

  29. SSC GD • 2021

    If a sum of Rs. 644 is divided into three parts proportional to 1/2 ∶2/3 ∶3/4 then the first part will be:

  30. SSC CHSL • 2025

    The length and breadth of a rectangle are in the ratio 14:11, respectively, and the perimeter of the rectangle is 150 cm. If the area of the rectangle is equal to the area of the top surface of a solid cylinder, then find the curved surface area of the…

  31. SSC Selection Post • 2023

    R and S are the midpoints of the sides XY and XZ, respectively, of ∆XYZ. Also, XR = 15 cm, XY = 25 cm, XS = 12 cm and XZ = 20 cm. RS is equal to:

  32. SSC Selection Post • 2022

    A can do three-seventh of a work in 15 days and B can do two-fifth of the same work in 14 days. If A and B work together, then how long (in days) will they take to complete the work?

  33. SSC CGL • 2017

    If a + 1/b = 1 and b + 1/c = 1, then the value of c + 1/a is

  34. SSC CHSL • 2022

    Ina school, a survey is taken on sports-loving children as given in the following table. Any student who loves one sport is understood to dislike the other sport. What is the difference between of boys and the number of girls in the school? [Table]

  35. SSC CHSL • 2020

    A boat covered a distance of 15 km upstream in 5 hours and a distance of 42 km downstream in 6 hours. The speed of the stream in km/h is:

  36. SSC CGL • 2020

    A car dealer purchased an old car for 1,08,500 and spent some amount on its maintenance. He sold it for 1,56,250, thereby earning a profit of 25%. How much money did he spend on the maintenance of the car?

  37. SSC CHSL • 2021

    (1+cosθ)(cosecθ-cotθ)secθ over sinθ(1-sinθ)(secθ+tanθ)=?

  38. SSC CGL • 2022

    In how much time will a sum of Rs. 5250 amounts to Rs. 9870 at the rate of 11 percent per annum at simple interest?

  39. SSC CHSL • 2019

    What is the approximate percentage (Correct to nearest integer) of the students who failed during the five academic years taken together?

  40. SSC Selection Post • 2020

    A worker borrowed some money on simple interest at the rate of 6% p.a. for the first 3 years, at the rate of 9% p.a. for the next 3 years, and at the rate of 14% p.a. for the period beyond 6 years. If he paid a total interest of ₹6,490 at the end of 7 years…

  41. SSC Selection Post • 2024

    Three partners decided to start a business. They decided to donate 10% of the profit to a charity organisation and then the remaining profit would be shared among first, second and third partner in the ratio 1 : 2 : 2. The total profit received was…

  42. SSC CGL • 2021

    If tan θ = √(5) , then the value of (cosec² θ + sec² θ)/(cosec² θ - sec² θ) is:

  43. SSC MTS • 2022

    What is the value of (36 ÷ 9 × 5 ÷ 15 + 7 x 3)/(6 ÷ 12 × 3 ÷ 12 + 8 x 3)

  44. SSC CGL • 2024

    A class of 30 students appeared in a test. The average score of 12 students is 62, and that of the rest is 78. What is the average score of the class?

  45. SSC CGL • 2022

    5⁷¹ + 5⁷² + 5⁷³ + 5⁷⁴ + 5⁷⁵ is divisible by which of the following number?

  46. SSC Selection Post • 2022

    A women invested in a private company fund, a total sum of ₹10,25,000 in the names of her son and daughter aged 13 years and 15 years, respectively, such that they get an equal amount when they are of 18 years. If the company gives 20% compund interest…

  47. SSC CHSL • 2025

    A hemispherical bowl is made of iron with a thickness of 0.5 cm. The inner radius is 3 cm. Find the volume of iron used to make the bowl.

  48. SSC CGL • 2019

    In a circle of radius 17 cm, a chord is at a distance of 15 cm from the centre of the circle. What is the length of chord?

  49. SSC GD • 2021

    Four numbers are in the ratio 2 : 3 : 5 : 7 and their HCF is 6. What is the sum of the squares of the largest and the smallest numbers?

  50. SSC CGL • 2023

    If (cos ⁡β)/(secα) = 15 and (sin⁡β)/(sec⁡α) = 16, then the value of sin²β is _____.