SarkariPYQ

Quantitative Aptitude PYQ — Page 278

24,303 questions across SSC exams.

  1. SSC GD • 2019

    The area of a triangular park is equal to 5√3 times the area of a triangular field with sides 18 m, 80 m and 82 m. What is the side of the triangular park?

  2. SSC Selection Post • 2020

    The parallel sides of a trapezium are 30 cm and 20 cm and its non-parallel sides are both equal. If the area of the trapezium is 300 cm², then what is the length (in cm) of each non-parallel side?

  3. SSC CHSL • 2021

    Evaluate the following expression. (tan ²60^° + cos ec30^ ° sin 90^ ° + 3sec ^230^ ° )/(4sin ^245^ ° + sec ^260^ ° - cot ^230^ ° - 5cos ^290^ ° )

  4. SSC CGL • 2020

    If x is the mean proportional between 12.8 and 64.8 and y is the third proportional to 38.4 and 57.6, then 2x : y is equal to:

  5. SSC CHSL • 2019

    By selling an article for Rs.144, a shopkeeper loses 28%. What is the selling price for bringing down the loss to 14%?

  6. SSC CGL • 2025

    A and B can complete a task in 12 days and 18 days respectively. They begin the work together, but B leaves after 4 days. How many more days will A take to finish the remaining work?

  7. SSC CHSL • 2024

    Let C be a circle with Centre O and P be an external point to C. Let PQ and PR be the tangents to C such that Q and R be the points of tangency, respectively. If ∠ROQ = 110°, find ∠RPQ.

  8. SSC CGL • 2021

    A can complete a work in 60 days. B is 25% more efficient than A. They work together for 15 days. C alone completes the remaining work in 14 days. B and C together will complete 5/8 th part of the original work in:

  9. SSC CHSL • 2025

    In a sale, a shopkeeper offers a 15% discount on clothes if you buy more than two items. Priya buys four shirts for ₹2040. If the shopkeeper still makes a 20% profit, find the profit the shopkeeper would make if he had sold the clothes at full price.

  10. SSC CGL • 2019

    If x = a + 1/a and y = a – 1/a then √(x⁴ + y⁴ - 2x²y²) is equal to:

  11. SSC CGL • 2023

    A policeman follows a thief, who is 1250 m ahead of him. The policeman and the thief run at speeds of 10 km/h and 8 km/h, respectively. The distance (in km) run by the thief before he is nabbed by the policeman is:

  12. SSC CHSL • 2020

    If the marked price of a television set is Rs.24,500, then, its selling price after a 12% discount on it is:

  13. SSC CHSL • 2025

    What is the degree measure of an angle 7π/4 radians?

  14. SSC CGL • 2018

    1 bar of chocolate costs Rs 80 but a box containing 6 bars of the same chocolate costs Rs 400. What is the effective discount (in %) on the box?

  15. SSC CHSL • 2025

    If x + y + z = 16 and xy + yz + zx = 75, what is the value of x² + y² + z²?

  16. SSC CHSL • 2024

    In a triangle PQR, RS intersects PQ at point S. The sides of the triangle QR = 36 cm, SQ = 27 cm, RS = 18 cm and ∠QRS = ∠QPR. What is the ratio of the perimeter of ∆PRS to that of ∆QSR?

  17. SSC CGL • 2022

    What is the value of: 8√3 sin 30°tan 60° - 3cos0° + 3 sin²45° + 2cos²30?

  18. SSC Selection Post • 2023

    In ΔABC, a line is drawn parallel to BC, intersecting sides AB and AC at Points S and T, where AB = 8.3 cm, BC = 16.6 cm, and BS = 5.3 cm. What is the length of ST (in cm)?

  19. SSC CHSL • 2021

    The average monthly expenditure of a family was Rs 18,600 during the first three months, Rs 21,750 during the next four months and Rs 22,840 during the last five months of a year. If the total savings during the year was Rs 1,43,020, then the average monthly…

  20. SSC MTS • 2019

    An article is sold for Rs. 6500 so as to earn a profit of 4%. A second article whose cost price is Rs. 3750, is sold at a loss of 4%.What is the overall gain or loss percent in the whole transaction?

  21. SSC Selection Post • 2022

    If a side of a square is increased by 20%, then its area will increase by:

  22. SSC Selection Post • 2022

    A shopkeeper allows series of discounts of 20%, 10% and 15%. How much will a customer have to pay for the item marked at Rs.1,000?

  23. SSC GD • 2019

    The difference between the mean and median of the data 66, 59, 68, 65, 62, 59, 58, 56, 63, 65 is:

  24. SSC CGL • 2021

    A and B together can complete a certain work in 20 days whereas B and C together can complete it in 24 days. If A is twice as good as C, then in what time will B alone do 40% of the same work?

  25. SSC CGL • 2023

    Rakshit, Ajay, and Satish are sanitation workers in a Municipal Corporation. Rakshit alone takes 20 hours to clean a drain while Ajay takes 12 hours when working alone to do the same. All three together take only 5 hours to clean the drain. In how many…

  26. SSC CGL • 2025

    A circular cycling track is 900 meters in length. Two cyclists, P and Q, start from the same point at 7:00 a.m. and ride in opposite directions. Cyclist P rides at 18 km/h and cyclist Q rides at 24 km/h. At what time will they meet for the sixth time?

  27. SSC CGL • 2025

    In a right prism with a square base, volume = 1024 cm³ and height = 16 cm. What is the side of the square base?

  28. SSC CGL • 2023

    10 men can do a work in 25 days. After 12 days of work, 3 more men were engaged to finish the work. The number of days required to complete the remaining work is:

  29. SSC CGL • 2021

    If cot θ = 15/8, θ is an acute angle, then find the value of ((1-cosθ)(2+2cosθ))/((2-2sinθ)(1+sinθ))

  30. SSC Selection Post • 2022

    A invested 30% more than B. Barvested 40% less than C, who invested ₹8,000. The total amount invested (in ₹) by all of them together is:

  31. SSC GD • 2019

    Anil, Deepak and Dinesh together can complete a work in 35 days. Anil and Dinesh together can complete the same work in 60 days. In how many days Deepak alone can complete the same work?

  32. SSC CHSL • 2021

    A and B can complete a work in 80 days and 96 days, respectively. They completed the work in 32 days with the help of C. How many days will C take to complete the entire work alone?

  33. SSC CHSL • 2024

    Two chords AB and CD of a circle are produced to intersect each other at a point P outside the circle. If AB = 7 cm, BP = 4.2 cm and PD = 2.8 cm, then the length of CD is:

  34. SSC CGL • 2019

    An article is sold for Rs. 1,680 after two successive discounts of 20% and 16%. What is the marked price of the article?

  35. SSC CHSL • 2019

    In a triangle ABC, the bisectors of ∠B and ∠C meet at O within the triangle. If ∠A = 110°, then the measure of ∠BOC is:

  36. SSC CGL • 2022

    The following pie charts show the number of students studying in different departments of an institute during the acaedemic years 2019 and 2020. The total number of students was 2000 and 2400, respectively, in academic years 2019 and 2020. What is the ratio…

  37. SSC CGL • 2019

    A truck covers a distance of 384 km at a certain speed. If the speed is decreased by 16 km/h, it will take 2 hours more to covers the same distance. 75% of its original speed (in km/h) is:

  38. SSC CHSL • 2023

    Which of the following numbers is not divisible by 6.

  39. SSC CGL • 2025

    The average weight of 10 boxes is 15.5 kg. If the heaviest box weighs 21 kg and the lightest weighs 10 kg, what is the average weight of the remaining boxes?

  40. SSC CGL • 2024

    The following figure shows the production of mobiles in lakh units of four cities in different years. Study the figure and answer the question that follows. [Image] What is the ratio between the average production in Delhi and Kolkata during the period of…

  41. SSC CGL • 2022

    Let x = (53/4× 153/4+22/35div111/25)/(3/4div11/4+53/5div34/15) . When y is added to x, the result is 7/13 . What is the value of y?

  42. SSC CHSL • 2025

    A train passes a tunnel 200 m long in 20 seconds. Speed is 72 km/h. Find train's length.

  43. SSC CGL • 2022

    A and B had a joint business in which A invested Rs 60,000 in the business for one year. After 3 months B invested Rs 80,000. At the beginning of the second year, A invested Rs 30,000 more and B withdrew Rs 5,000. At the end of two years, profit earned by A…

  44. SSC CHSL • 2023

    One angle of an isosceles obtuse triangle is 28 1/2 °. Find measure of its obtuse angle in degree.

  45. SSC CHSL • 2024

    Nirmal completed the school project in 45 days. How many days will Amit take to complete the same work if he is 25% more efficient than Nirmal?

  46. SSC CHSL • 2024

    If Ramu’s salary is 30% less than Somu’s salary, then by how much percent is Somu’s salary more than Ramu’s salary?

  47. SSC CHSL • 2020

    A man has Rs.10,000. He lend a part of it at 15% simple interest and the remaining at 10% simple interest. The total interest he received after 5 years amounted to Rs.6,500. The difference between the parts of the amounts he lent is:

  48. SSC CGL • 2018

    The table given below shows the information about bats manufactured by 6 different companies. Each company manufactures only plastic and wooden bats. Each company labels these bats as Brand A or Brand B. The table shows the number of plastic bats as a…

  49. SSC CHSL • 2023

    In a triangle, PQR, QR is produced to S. If ∠PRS = (9x - 15)°, ∠RPQ = (2x)°, and ∠PQR = (4x + 15)°, what is the value of x?

  50. SSC CGL • 2021

    Two equal sums were lent on simple interest at 6% and 10% per annum respectively. The first sum was recovered two years later than the second sum and the amount in each case was Rs. 1105. What was the sum (in Rs.) lent in each scheme?