Quantitative Aptitude PYQ — Page 355

24,303 questions across SSC exams.

  1. SSC CGL • 2019

    The efficiencies of A, B and C are in the ratio 5 : 3 : 8. Working together they can complete a work in 30 days. A and B worked together for 20 days. The remaining work will be completed by C alone in:

  2. SSC CHSL • 2020

    In the given figure, chords AD and BC in the circle, are extended to E and F, respectively. [Image] If ∠CDE = 85ᵒ; ∠DCF = 94ᵒ, then the value of ∠EAB is:

  3. SSC CHSL • 2021

    If a² + 4b² + 25c² + 18 = 2(a + 2b + 20c), then what is the value of (a + 2b + 5c)?

  4. SSC Selection Post • 2024

    If 8 men or 16 women or 32 boys can do a piece of work in 8 months, then in how many months can 4 men, 4 women and 4 boys together complete the work?

  5. SSC CGL • 2019

    Renu bought an article for Rs. 1,240 and sold it at a loss of 25%. With this amount, she bought another article and sold it at a gain of 40%. Her overall percentage profit is:

  6. SSC CHSL • 2025

    From a point P outside a circle, two tangents PA and PB are drawn. If the length of PA is 7 units, what is the length of PB?

  7. SSC CGL • 2021

    If x is a real quantity, what is the minimum value of (25 cos²x + 9 sec²x)?

  8. SSC CHSL • 2022

    The Table below provides information about the distribution of students from three different schools who are enrolled eith three different coachin centres in a town [Table] 35% of the students in coaching centre R are female. 20% of the female students…

  9. SSC CHSL • 2021

    Study the following bar graph and answer the question given below. The bar graph represents the total number of applications received for B.Sc. Mathematics by two different colleges A and B in 5 different years. [Image] Find the difference between the…

  10. SSC CHSL • 2020

    If a - b = 4 and a³- b³ = 88, then find the value of a² - b².

  11. SSC CGL • 2022

    What is the ratio between the HCF and LCM of the numbers whose LCM is 48 and the product of the numbers is 384?

  12. SSC CHSL • 2025

    If sec(θ)=cosec(42°), what is the value of θ?

  13. SSC CGL • 2019

    If (1 + tan²x) + (1+ (tan²x)⁻¹) = k, then √k=?

  14. SSC CGL • 2025

    A and B invested ₹60,000 and ₹40,000, respectively, for 12 months. A take 10% of the profit for managing. The remaining profit of Rs. 90,000 is divided based on capital. What is B’s share?

  15. SSC CGL • 2024

    Study the given pie chart carefully and answer the question that follows. The given pie chart depicts the expenditure incurred towards different hobby classes of an institute. [Image] If the total expenditure is ₹10,70,000, then find the central angle of the…

  16. SSC CGL • 2020

    The given table represents the number of engineers recruited by four companies A, B, C and D over the years. Study the table carefully and answer the question that follows. [Table] The number of the years in which the number of engineers recruited by company…

  17. SSC CGL • 2019

    If tan²θ – 3sec θ + 3 = 0, 0°<θ<90°, then the value of sin θ + cot θ is:

  18. SSC CGL • 2025

    D and E start a business with equal investments. After 4 months, D adds Rs. 10,000 more. At the end of 1 year, if the total profit is Rs. 33,000, and E's share is Rs. 15,000, what was their initial investment?

  19. SSC CHSL • 2025

    A and B are jogging around a 2 km circular track. They start from the same point and run in opposite directions. A's speed is 8 km/h and B's speed is 12 km/h. At what time will they meet for the tenth time if they start at 7:00 a.m.?

  20. SSC MTS • 2019

    A bus covers first 200 km of a journey in 4 hours and the next 600 km in 6 hours. What is the average speed of the bus for the whole journey?

  21. SSC CGL • 2023

    The third proportion between 25 and 35 is:

  22. SSC CGL • 2019

    The curved surface area and the volume of a cylinder is 264 cm²and 924 cm³, respectively. What is the ratio of its radius to its height? (Take π = 22/7)

  23. SSC GD • 2021

    The capacities of two hemispherical vessel are 2.7 litres and 12.5 litres. Find the ratio of the areas of the inner curved surface of the vessels.

  24. SSC Selection Post • 2019

    By selling an article at 9/11 its actual selling price, a trader incurs a loss of 10%. What will be the profit percentage, if the article is sold for 5% less than its actual selling price

  25. SSC Selection Post • 2024

    If (x + y + z) = 23 and x² + y² + z² = 179, then find the value of (xy + yz + zx).

  26. SSC CGL • 2019

    In a ΔABC, the bisectors of ∠B and ∠C meet at point O, inside the triangle. If ∠BOC = 122°, then the measure of ∠A is:

  27. SSC CHSL • 2019

    A purchased two articles for Rs. 200 and Rs. 300 respectively and sold at gains of 5% and 10% respectively. What was his overall gain percentage?

  28. SSC CGL • 2021

    A T.V. is sold at 8% gain. Had it been sold for Rs. 2553 less, there would have been loss of 15%. To gain 18% the selling price (in Rs.) of T.V. would be:

  29. SSC CGL • 2019

    Two articles are sold for Rs. 5,104 each. On one, the seller gains 16% and on the other, he loses 12%. What is his overall gain percent, nearest to two decimal places?

  30. SSC CHSL • 2025

    (0.081-0.006)/(0.91+0.05+0.01)=?

  31. SSC GD • 2021

    An iron is bought for ₹ 210. Decide its MRP so that after a discount of 5%, you still gain 90%.

  32. SSC CGL • 2020

    The average of twelve numbers is 45.5. The average of the first four numbers is 41.5 and that of the next five numbers is 48. The 10^(th) number is 4 more than the 11^(th) number and 9 more than the 12^(th) number. What is the average of the 10^(th) and…

  33. SSC Selection Post • 2019

    Expenses (in multiples of ₹10,000/-) on consumption of fuel for the official car at a regional office (RO) of a national organization during 2006-2010 are given below in a tabular form along with the National Averages (NA) during the said period. It is given…

  34. SSC Selection Post • 2022

    The fourth proportional of 24, 32 and 36 is:

  35. SSC CHSL • 2023

    What is the value of (5/2div2/5× 1/5-1/5div3/5times5/2)/(2/5div1/5-1/2times5/2÷ 25/4+1/2div2/5× 1/5) ?

  36. SSC CGL • 2022

    Some students (only boys and girls) from different schools appeared for an Olympiad exam. 20% of the boys and 15% of the girls failed the exam. The number of boys who passed the exam was 70 more than that of the girls who passed the exam'. A total of 90…

  37. SSC GD • 2019

    After giving a discount of 25%, a shopkeeper earns 40% profit. Marked price is what percent more than the cost price?

  38. SSC Selection Post • 2022

    A shopkeeper bought 56 dozen eggs at ₹2.50 per egg. 120 eggs broke in transportation. He sold the remaining eggs at ₹2.75 each. What is the profit or lost per cent?

  39. SSC GD • 2021

    Find the value of [52 - 4 of (17 -12) + 4 × 7] ÷ [30 ÷ 15 × 5].

  40. SSC CGL • 2025

    If a³ + b³ = 35 and ab = 6, find the value of a + b.

  41. SSC CGL • 2023

    X and Y can complete a work in 9 days and 36 days, respectively. X begins to do the work, and they work alternately, one at a time, for one day each. The whole work will be completed in:

  42. SSC CGL • 2021

    If x is subtracted from each of 24,40,33 and 57, the number ,so obtained are in proportion . The ratio of (5x + 12) to (4x + 15) is :

  43. SSC CGL • 2023

    A policeman chasing a thief is 0.5 km behind the thief. The speed of the thief is 80% of the speed of the policeman and the policeman catches him in 12 minutes. What is the speed of the thief (in km/h)?

  44. SSC CHSL • 2025

    If a solid sphere is cut into two equal hemispheres, by what percentage is the total surface area increased?

  45. SSC CGL • 2021

    Table shows District-wise data of the number of primary school teachers posted in schools of a city. Study the table and answer the question: [Table] What is the average number of female teachers in the five districts?

  46. SSC Selection Post • 2020

    If (a + b) : (b + c) : (c + a) = 5 : 12 : 11, and a + b + c = 28, then 1overa : 1overb : 1overc is equal to:

  47. SSC CGL • 2025

    An investment is made in a business. In the first year, it gains 25%, in the second year, it loses 20%, and in the third year, it gains 10%. What is the overall gain or loss percentage?

  48. SSC Selection Post • 2024

    Which number should be added to 3, 11, 4 and 14 to make them in proportion?

  49. SSC CGL • 2022

    If the price of petrol is increased by 28%, by what percentage should the consumption be decreased by the consumer, if the expenditure on petrol remains unchanged? (Correct to 2 decimal places)

  50. SSC CGL • 2025

    If ₹5000 amounts to ₹6050 over 2 years with compound interest, what is the annual interest rate?