Quantitative Aptitude PYQ — Page 360

24,303 questions across SSC exams.

  1. SSC CGL • 2021

    The number 823p2q is exactly divisible by 7, 11 and 13. What is the value of (p - q)?

  2. SSC CHSL • 2024

    Study the given pie chart and answer the question that follows. The given pie chart represents the percentage of valid votes obtained by five candidates in a univenity election. [Image] If candidate C has obtained 270 valid votes, then which are the two…

  3. SSC CHSL • 2023

    The average weight of 45 students of a school is 55 kg. If the weight of the teacher be included, the average weight rises by 500 grams. Find the weight (in kg) of the teacher

  4. SSC CGL • 2022

    The expression (tan⁶θ-sec⁶θ+3sec²θ tan²θ)/(tan² θ + cot² θ +2), 0⁰, is equal to:

  5. SSC CGL • 2024

    The inner and outer radii of a circular track are 28 m and 25 m, respectively. The cost (in ₹) of levelling the track at ₹28 per m² is: [ Use π = 22over7 ]

  6. SSC CGL • 2023

    Simplify the given expression. (a - 2b)(b - 3a) + (a + b)(a - 3b) - (b - 3a)(4a - 5b)

  7. SSC CHSL • 2019

    In ΔABC, AD is the bisector of ∠BAC, meeting BC at D. If AC = 21, BC = 12 cm and the length of BD is 2 cm less than DC, then the length of side AB is:

  8. SSC CHSL • 2025

    If a+b = 3 and a-b = 1, find the value of a⁴ - b⁴.

  9. SSC GD • 2019

    What should come in place of question mark (?) in the following questions? (140 + 80 × 2 - 24) ÷ (80 + 20 × 3 - 40) = ?

  10. SSC GD • 2019

    Simple interest for three years for a certain sum at the rate of 15% is Rs. 9000. If the rate of interest becomes 30%, then what will be the simple interest for two years?

  11. SSC CGL • 2022

    A circle is inscribed in ∆ABC, toucing AB, BC and AC are the points P, Q and R, respectively. If AB - BC = 4 cm, AB - AC = 2 cm, and the perimeter of ∆ABC = 32 cm, then AC (in cm) = ?

  12. SSC CGL • 2024

    The cost price of a bat is 75% of the marked price. Calculate the gain percentage after allowing a discount of 15%.

  13. SSC CGL • 2020

    In the given figure, if ∠KLN = 58ᵒ, then ∠ KMN =? [Image]

  14. SSC CGL • 2020

    What is the smallest integer that is a multiple of 5, 8 and 15?

  15. SSC CHSL • 2023

    Simplify (36a² - 49b²)/(6a + 7b) .

  16. SSC CHSL • 2024

    To finish a work in 12 days, 8 workers are engaged. After 2 days, due to some urgency, the work is to be finished in the next 2 days. How many more workers are to be engaged now to finish it on time?

  17. SSC GD • 2019

    A train takes 3 hours less time for a journey of 360 km, if its speed is increased by 10 km/hr from its usual speed. What is its increased speed (in km/hr)?

  18. SSC CHSL • 2023

    Lakshita purchased a sofa set at a discount of 25%. As per her calculations, she noticed that if she would have not been given this discount, she would have paid 22,400 more as the cost of this sofa set. How much did Lakshita pay for the sofa set?

  19. SSC Selection Post • 2020

    If 45% of 30 + 2X = 35% of 15 + 20% of 45, then the value of X is:

  20. SSC GD • 2019

    The price of two articles are in the ratio of 4 : 3 respectively. The price of first article is increased by 50% andthe price of second article is decreased by 10%. If the new price of second article is Rs. 54, then what was the original price of first…

  21. SSC Selection Post • 2022

    If x² - √(13) x+ 1=0 , then (x³ + x⁻³) is equal to:

  22. SSC CHSL • 2025

    38 men can do a piece of work in 10 days. Find the time required by 10 men to do thrice the work.

  23. SSC CGL • 2025

    A sum of ₹10000 is lent out in two parts, one at 7% simple interest and the other at 12% simple interest. If the annual interest is ₹900, the sum lent at 12% is:

  24. SSC CHSL • 2021

    The value of (86div20)-13over8of (1 over 3- 2 over 13)+ (1 over 8÷ 3 over 7)+( 2 -3 over 10)is:

  25. SSC CHSL • 2020

    The value of sin 20ᵒ cos 70ᵒ + sin 70ᵒ cos 20ᵒ is:

  26. SSC CGL • 2022

    Simplify x²+2x+y² over x³-5x² if x+y² over x=5

  27. SSC MTS • 2019

    A man travels from P to Q at the speed of 60 km/h and travels from Q to P at the speed of 90 km /h. What is the average speed of the man fo rhe whole journey?

  28. SSC CGL • 2024

    Express sin 74° + tan 74° in terms of trigonometric ratios of angles between 0° and 45°.

  29. SSC CGL • 2023

    The difference between a discount of 40% and two successive discounts of 30% on a certain bill was ₹220. Find the amount of the bill (in ₹).

  30. SSC Selection Post • 2019

    A square field is to be fenced on three sides. If the area of the field is 4900 m², how many metres of fencing will be required?

  31. SSC Selection Post • 2019

    A shopkeeper eams a profit of 15% on selling a book at 15% discount on the printed price. The ratio of the cost price and the printed price of the book is:

  32. SSC CGL • 2019

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  33. SSC Selection Post • 2022

    The average of 27 numbers is 58. The average of the first 14 numbers is 66.6 and that of the last 14 numbers is 52.4. If the 14th number is excluded, then what is the average of the remaining numbers (correct to one decimal place)?

  34. SSC CGL • 2024

    Ten chairs and six tables together cost ₹5,140; three chairs and two tables together cost ₹1,635. The cost of 1 chair and 1 table is:

  35. SSC Selection Post • 2020

    The circumference of a circle exceeds its diameter by 30cm, The area in (cm²) of the circle is: (Take π = 22over7

  36. SSC CHSL • 2021

    Working together. A, B, and C can finish a piece of work in 3 hours. A finishes the same work in 8 hours and B finishes it in 6 hours. How long will it take for C alone to finish the same work?

  37. SSC MTS • 2022

    A train covers a certain distance at a speed of 80 km/h in 6 hours. Find the speed of the train for covering the same distance in 5 hours.

  38. SSC MTS • 2022

    B₁ and B₂ can do a piece of work together in 8 days, B₂ and B₃ can do the same work together in 16 days, while B₁ and B₃can do it together in 32 days. What percentage of the total work can all the 3 people, working together, do in 4 days?

  39. SSC GD • 2021

    A and B can complete a work in 12 days and 18 days, respectively. They worked together for 4 days, after which B was replaced by C and the remaining work was completeed by A and C in the next 4 days. In how many days will C alone can complte one third of the…

  40. SSC MTS • 2022

    What distance will be covered by a car moving at 72 km/h in 10 seconds?

  41. SSC CHSL • 2020

    Evaluate: [7 + 7 × (7 + 7 ÷ 7)] + 7 ÷ 7

  42. SSC CGL • 2025

    Having initially established the marked price of a particular commodity at a 20% premium over its cost price, a retail vendor subsequently extended an unspecified discount. If, following this concession, the transaction ultimately yielded a profit of 8% on…

  43. SSC Selection Post • 2022

    In ∆ABC, AB and AC are produced to point D and E, respectively. If the bisectores of ∠CBD and ∠BCE meet at point O such that ∠BOC =76⁰, then ∠A=?

  44. SSC CHSL • 2025

    If (√3)⁵ × 9² = 3ⁿ × 3√3, then what is the value of n?

  45. SSC Selection Post • 2023

    A spherical ball of diameter 8 cm is cut into two equal parts. The curved area of one such part has to be painted with green colour, while the other part has to be painted with red colour. The bases of both the hemispheres are to be painted with blue colour…

  46. SSC GD • 2019

    Sixty percent of the rats included in a particular experiment were female rats. If some of the rats died during the experiment and 30% of rats died were male, what was the ratio of the death rate among the male rats to the death rate among the female rats?

  47. SSC CGL • 2025

    'A', 'B', and 'C' formed a consulting firm. Their capital investments were Rs. 6,00,000, Rs. 4,00,000, and Rs. 5,00,000, respectively. After 3 months, 'A' withdrew Rs. 1,00,000, and 'B' added Rs. 1,00,000. The partnership lasted for 9 months. What was the…

  48. SSC CHSL • 2019

    The total income of the company in 2015, 2017 and 2018 is approximately what percent less than the total expenditure in the five years?

  49. SSC CHSL • 2025

    In a roof truss design, two beams are placed such that one makes an angle θ with the horizontal and the other makes (90° - θ). If sin θ = 0.6, what is the value of sin²θ + cos²(90° - θ)?

  50. SSC CGL • 2023

    A father gives 8% of his monthly income to both his sons as pocket money. The elder son gets 85% of the total amount given to both the sons. He spend 90% of the amount and saves ₹17. What is the monthly income of father?