SarkariPYQ

Quantitative Aptitude PYQ — Page 295

24,303 questions across SSC exams.

  1. SSC CHSL • 2020

    Find x if cosx = [Image]

  2. SSC MTS • 2022

    The value of P varies directly as the square of Q. When Q is 4, then P is 48. What is the value of Q when P is 243?

  3. SSC CHSL • 2024

    What is the value of the following expression? (24 ÷ 3 of 1over6 ) × ( 4over5 ÷ 9over8 × 3over5 ) ÷ ( 4over7 ÷ 3over14 of 3over14 )

  4. SSC CGL • 2023

    Given theta₁ + theta₂ = (π)/2 and sin theta₁ = 1/2 , find the value of θ₂.

  5. SSC CHSL • 2025

    A vessel contains 40 liters of milk. From this vessel, 4 liters of milk is taken out and replaced by water. This process is repeated one more time. What is the ratio of milk to water in the final mixture?

  6. SSC Selection Post • 2024

    A salesman purchases goods at ₹1,250 and is forced to sell them at ₹1,000. Find his loss percentage.

  7. SSC CHSL • 2025

    If a² + b² + c² = 240 and ab - bc - ca = 64, then find the value of (a + b - c)².

  8. SSC CGL • 2021

    Simplify the following expression . [Image]

  9. SSC CHSL • 2025

    Find the value of √(12 + √(12 + √(12 + …))) .

  10. SSC CGL • 2022

    Two trains P and Q start from stations S and T towards each other. Train P takes 4 hours 48 minutes and train Q takes 3 hours 20 minutes to reach T and S, respectively, after they meet. If the speed of train P is 45 km/h, what is the speed of train Q?

  11. SSC CHSL • 2020

    The divisor is 6 times the quotient and 3 times the remainder. If the remainder is 40, then find the dividend.

  12. SSC Selection Post • 2024

    A sum of ₹5,575 is invested at the rate of 8% simple interest per annum for 4 years. What will be the interest (in ₹) payable on maturity?

  13. SSC GD • 2019

    A 250 metre long train takes 30 seconds to cross a 350 metres long bridge. How much time train will take to cross a 550 metre long bridge?

  14. SSC CGL • 2024

    A and B can do a work in 12 days and 16 days, respectively. If they work together for 6 days, then the fraction of the work left is _____.

  15. SSC Selection Post • 2023

    By working 12 hours a day, 90 people can complete a work in 16 days. How much work will be left after 24 days if 70 people work for 8 hours per day?

  16. SSC MTS • 2022

    The monthly income of a person is ₹15,000. He saves 20% of his income. If his income increases by 10% and his nominal savings remains the same, then what will be his new expenditure?

  17. SSC Selection Post • 2022

    Atul walks 4 km at a speed of 2 km/h, runs 10 km at a speed of 6 km/h, and goes by bus for another 45 km. The speed of the bus is 30 km/h. Find the average speed of Atul.

  18. SSC Selection Post • 2023

    The average age of 35 students in a group is 12 years. When the teacher's age is included, the average increases by one. What is the teacher's age?

  19. SSC CGL • 2024

    If x=sqrt6+2 and y=sqrt6-2 , then what is the value of (x/y+y/x)²-3 ?

  20. SSC CGL • 2019

    How much iron sheet (in m²) will be needed to construct a rectangular tank measuring 10 m × 8 m × 6 m, if a circular opening of radius one metre is to be left at the top of the tank? (correct to one decimal place)

  21. SSC CHSL • 2023

    tanθ=3over4 , find the value of expression 1+sinθ over 1-sinθ :

  22. SSC Selection Post • 2019

    There are 1550 boys and girls in a school. The number of girls exceeds the number of boys by 500. What is the percentage (to nearest integer) of girls in the school?

  23. SSC CHSL • 2020

    In a ΔABC, DE is parallel to BC, AD = 3 cm, AE = 4 cm and AC = 10 cm, then the value of BD in centimeters, is:

  24. SSC CHSL • 2021

    The speed of a boat downstream is 150% more than its speed upstream. If the time taken by the boat for going 80 km downstream and 50 km upstream is 8.2 hours, then what is the speed (in km/h) of the boat downstream?

  25. SSC CHSL • 2022

    If 2945 ÷ 19 – 11 × 5 = 29 + a, find the value of a.

  26. SSC CHSL • 2025

    A and B together can complete a job in 10 days. A alone can complete it in 15 days. How long will B take to complete the work alone?

  27. SSC CHSL • 2025

    A radar system relies on the equation: cos² θ − sin² θ = cos 2θ What is the value of cos² θ − sin²(90° − θ)?

  28. SSC CGL • 2022

    G is centroid of a triangle ABC, whose sides AB = 35 cm BC = 12 cm, and AC = 37 cm. The length of BG is (correct to one decimal place).

  29. SSC CHSL • 2022

    The average marks scored by a student in 4 subjects is 75. But when the marks of English are added to it, the overall average became 70. How much did he score in English?

  30. SSC Selection Post • 2020

    Study the given table and answer the following question: Annual consumption (in hundred tonnes) of tea in five states (A, B, B, C, D, and E) across 6 years (2014 to 2019). [Table] The ratio of the total consumption of tea in states B, D, and E in 2018, 2014…

  31. SSC CHSL • 2024

    If Tanya walks at the speed of 6 km/h, she misses a train by 2 minutes. However, if she walks at the speed of 8 km/h, she reaches the station 3 minutes before the arrival of the train. The distance covered by Tanya to reach the station is:

  32. SSC CGL • 2025

    A spherical ball is submerged in water in a cylindrical container. The radius of the cylindrical container is 5 cm, and the height is 30 cm. What is the volume of water displaced by the ball if its radius is 4 cm?

  33. SSC CHSL • 2023

    Simplify the given expression. ((381 + 119)² + (381 - 119)²)/((381)² + (119)²) .

  34. SSC CGL • 2024

    The bar graph given below shows the sales of books from six schools during two consecutive years, 2013 and 2014. [Image] What percentage of the average sales of schools A, B, and C in 2014 is the average sales of schools A, C, and F in 2013?

  35. SSC CHSL • 2025

    Which of the following numbers can possibly be a perfect square?

  36. SSC CGL • 2025

    If the curved surface area of a hemisphere is 154 cm² find its diameter.

  37. SSC CGL • 2022

    Simplify x + 3(y + x - 2) - (x + y).

  38. SSC CGL • 2022

    The surface area of a cube is 864 cm² . The volume of the cube is ___.

  39. SSC Selection Post • 2022

    If the average of six consecutive odd natural numbers is 24, then what is the average of the four smaller numbers out of the six numbers?

  40. SSC CHSL • 2023

    △ ABC is an isosceles triangle with ∠ABC = 90° and AB = BC. If AC = 12 cm, then the length of BC (in cm) is equal to:

  41. SSC CGL • 2025

    The value of a machine depreciates 10% in the first year, 20% in the second year, and 30% in the third year. If the initial value was Rs. 10,000, what is its value at the end of 3 years?

  42. SSC CHSL • 2025

    When the radius of a sphere is increased by 7 cm, its surface area increases by 4312 cm². What is the volume (in cm³) of the original sphere? (Take π = 22/7)

  43. SSC CHSL • 2020

    A person purchase 40 items at Rs.10 each. He sells a part of them at 25% profit and the remaining at 10% loss. The net profit is 4% in this transaction. The number of items he sold at a loss, is:

  44. SSC Selection Post • 2022

    The simple interest on sum of money at 15% per annum for 2 years is Rs.2,700 compounded annually, what would be the compound interest (in Rs.) on the same sum for the same period and at rate of interest?

  45. SSC CGL • 2022

    In △ ABC , ∠ A= 88^° . If I is the incentre of the triangle, then the measure of ∠ BIC is:

  46. SSC CHSL • 2019

    A and B can complete a piece of work in 15 days and 10 days respectively. They got a contract to complete the work for Rs. 35000. The share of A (in Rs.) in the contracted money will be:

  47. SSC GD • 2019

    A motorcycle is moving at the speed of 25 km/hr and its speed is increased by 7 km/hr at the end of each hour. How much time it will take to cover a distance of 225 km?

  48. SSC GD • 2019

    Selling price and cost price of an article are in the ratio of 7 : 5. What will be the profit/loss percentage?

  49. SSC GD • 2019

    Marked price of an article is 40% more than its cost price. If 50% discountis given on the article, then selling price is what percent ofthe cost price?

  50. SSC CHSL • 2023

    A boat goes 10 km upstream in 50 minutes, and the speed of the stream is 3 kmph, Find the speed of the boat in still water. (in kmph)