SarkariPYQ

Quantitative Aptitude PYQ — Page 463

24,303 questions across SSC exams.

  1. SSC CPO • 2019

    If 7 sin² θ + 3 cos² θ = 4, 0ᵒᵒ, then the value of (tan² 2θ + cosec² 2θ) is:

  2. SSC CPO • 2024

    18 workers can complete a piece of work in 96 days. They start working together and after 26 days 10 more workers join them. In how many days in all will the work be completed?

  3. SSC CPO • 2022

    The salary of Ramesh first increases by 35%, then decreases by 40%, then again increases by 25%. Find the overall increase or decrease percentage.

  4. SSC CPO • 2022

    Find the perimeter of major sector of a circle of radius 12 metres, whose minor sector subtends an angle of 75° at the centre.

  5. SSC CPO • 2019

    In how many years was the revenue of the company more than 1.2 times the average expenditure over the given five years?

  6. SSC CPO • 2020

    If x²+ 8y² - 12y - 4xy + 9 = 0 , then the value of ( 7x - 8y) is :

  7. SSC CPO • 2023

    In a store, Arun has two options to buy a mobile phone, either he can pay the full amount of Rs.2,500 or he may buy at an instalment scheme, i.e. Rs.520 in down payment and four equal instalments, rate of interest being charged at 25% p.a. simple interest…

  8. SSC CPO • 2020

    A train x running at 74 km/h crosses another train y running at 52 km/h in the opposite direction in 12 seconds. If the length of y is two-thirds that of x , then what is the length of y (in m)?

  9. SSC CPO • 2022

    The number of books issued by a library for 6 months has been represented in the following bar graph. [Image] In which month is the number of books issued maximum?

  10. SSC CPO • 2020

    In △ABC, BD ⊥ AC at D. E is a point on BC such that ∠ BEA = x°. If ∠ EAC = 46° and ∠ EBD = 60°, then the value of x is :

  11. SSC CPO • 2020

    The monthly salary of a person was Rs 50,000 . He used to spend on Family expenses (E), Taxes (T), charity (C), and the rest were his saving . E was 60% of the income, T was 20% of E , and C was 15% of T. when his salry got raised by 40%, he maintained the…

  12. SSC CPO • 2019

    If (2x + 3)³ + (x - 8)³ + (x 13)³ = (2x + 3)(3x - 24)(x + 13), then what is the value of x?

  13. SSC CPO • 2019

    If x⁴ + x⁻⁴ = 2599, then one of the values of x - x⁻¹, where x > 0, is equal to :

  14. SSC CPO • 2025

    A regular polygon has interior angle 160°. How many sides does it have?

  15. SSC CPO • 2020

    The average age of 40 students of a class is 16 years. After admission of 10 new students to the class, the average becomes 15 yers. If the average age of 5 of the new students is 11 years, then the average age ( in year) of the remaining 5 new students is :

  16. SSC CPO • 2022

    Find the amount if a sum of Rs.7,500 is invested on compound interest at 8% p.a. fo 1.5 years when the interest is compounded half yearly.

  17. SSC CPO • 2024

    Simplify 1898 ÷ [ 13/4 × (35 + 45 ) - 91/4 ]

  18. SSC CPO • 2023

    Mayur sold a watch at a profit of 7%. If he had sold it for ₹1,329 more, he would have gained 57%. Find the cost price (in ₹) of the watch.

  19. SSC CPO • 2022

    The average age of 25 girls in a class is 11.2 years and that of the remaining 15 girls is 10 years. Find the average age of all the girls in the class.

  20. SSC CPO • 2022

    Two trains with a speed of 80 km/h and 120 km/h, respectively, are 500 km apart and face each other. Find the distance between them 10 minutes before crossing.

  21. SSC CPO • 2022

    Find the value of a in the following equation. (Given a (187div17× a-3times3 over (8²-9times7+a²)=1

  22. SSC CPO • 2025

    A water tank fills up to 3/8 of its capacity in 15 minutes. How long will it take to fill the entire tank?

  23. SSC CPO • 2023

    Simplify the given expression. b + 2a - [(3b + a) - (2a + b) + 2a] - a

  24. SSC CPO • 2019

    Pipes A and B can fill a tank in 18 minutes and 45/2 minutes, respectively while pipe C can empty the full tank in 12 minutes. A and B are opened together for 6 minutes and then closed. Now C is opened. C alone will empty the tank in .......(minutes)

  25. SSC CPO • 2023

    The value of 11 × 11 + 11 ÷ 11 - 11 × 11 + 11 + 11 × 11 - 11 - 11 × 11 is:

  26. SSC CPO • 2022

    Find the value of a in the following equation. (Given a ((187÷17× a-3times3))/((8²-9times7+a²)) = 1

  27. SSC CPO • 2023

    The valule of (11/2 ÷ 31/4 + 1/2 ÷ 13/14 + 1/5)/(1/5 × 31/2 - 1/3 ÷ 13/4 × 31/2) is:

  28. SSC CPO • 2023

    Simplify the given expression. (1 + x)³ + (1 - x)³ + (-2)³

  29. SSC CPO • 2024

    Applied to a bill for ₹1000, what is the difference between a discount of 40% and two successive discounts of 36% and 4%?

  30. SSC CPO • 2024

    Study the given table and answer the question that follows. The table shows the number of voters at three different centres A, B, C. [Table] Number of people who did not vote at centre B is what percentage more than those who did not vote at centre C?

  31. SSC CPO • 2024

    What is the ratio between S and T if S is 75% of T?

  32. SSC CPO • 2019

    The ratio of the number of neon lamps having a life of 900 hours or more to the number of lamps having life less then 700 hours is:

  33. SSC CPO • 2019

    A is 40% less than B, and C is C is 40% of the sum of A and B. The difference between A and B is what percentage of C?

  34. SSC CPO • 2024

    The following table shows the marks obtained out of 100, by four students in four different subjects. [Table] The total marks scored by Ronak in all the subjects is what percentage of the total marks scored by Shivam, Sonu, Arnav together in all the subjects?

  35. SSC CPO • 2019

    What is the Simplified value of: [Image]

  36. SSC CPO • 2023

    Two successive discounts of 30% and 20% are equivalent to a single discount of:

  37. SSC CPO • 2023

    An inlet pipe can fill an empty tank in 3.6 hours, while an outlet pipe can drain a completely-filled tank in 6.3 hours. If both the pipes are opened simultaneously when the tank is empty, in how many hours will the tank get completely filled?

  38. SSC CPO • 2022

    The value of (sin⁴ 45°+ cos⁴ 60°) + (tan⁴ 45°+ cot⁴ 45°) is:

  39. SSC CPO • 2019

    The radius and height of a right angle circular cone are in the ratio 1:(2.4). If its curved surface area is 2502.5 cm², then what is its volume?

  40. SSC CPO • 2024

    Find the single discount rate percentage equivalent to the successive discounts of 10%, 20% and 20%.

  41. SSC CPO • 2022

    What is the least value of x so that the number 8x5215 becomes divisible by 9?

  42. SSC CPO • 2019

    A works twice as fast as B and B works twice as fast as C. All 3 working together can finish a task in 4 days with the help of D. If D alone can finish the same task in 16 days then, in how many days will A alone finish 75% of the same task?

  43. SSC CPO • 2025

    If the sum of the interior angles of a regular polygon is equal to the sum of its exterior angles, determine the number of sides in the polygon.

  44. SSC CPO • 2025

    A brass hemispherical bowl has an inner diameter of 14 cm. Find the cost of painting its inner surface at the rate of ₹20 per cm².

  45. SSC CPO • 2024

    Find the area of a minor sector of a circle whose circumference is 88 cm and the length of its minor arc is 22 cm (use π = 22/7)

  46. SSC CPO • 2020

    A class has five sections with 25, 30, 40, 45, and 60 students, respectively. The pass percentages of these sections are 20%, 30%, 35%, 40% and 100% respectively. The pass percentage of the entire class is:

  47. SSC CPO • 2023

    What is the least common multiple of 210, 336, and 504?

  48. SSC CPO • 2022

    Solve the following equation. 123 × (16² - 14² - 40) ÷ 2 - 94 = ____.

  49. SSC CPO • 2024

    Study the given table and answer the question that follows. The table shows the number of students in various courses in various cities A, B, C, D and E in India during the academic year 2022 - 2023. [Table] In all the cities altogether, what is the…

  50. SSC CPO • 2025

    A square board 20 cm side has a corner triangle removed (right triangle, legs 5 cm each). What percent of the board remains?