SarkariPYQ

Quantitative Aptitude PYQ — Page 433

24,303 questions across SSC exams.

  1. SSC CPO • 2025

    A solid cone with a radius of 6 centimeters and a height of 8 centimeters is melted down to form small spheres, each with a radius of 2 centimeters. How many such spheres can be made?

  2. SSC CGL • 2018

    A batsman scores 87 runs in the 21st match of his career. His average runs per match increase by 2. What was his average before the 21st match ?

  3. SSC CGL • 2022

    Study the histogram and answer the question that follows: [Image] The number of persons weighing 55 kg or more but less than 75kg is what percentage more than the number of persons weighing 80kg or more but less than 100kg (correct to one decimal place)?

  4. SSC CGL • 2016

    A bookseller allowed a 10% discount on printed prices. He gets a 30% commission from the publisher. His profit in percent will be?

  5. SSC CGL • 2020

    A hemispherical tank full of water is emptied by a pipe at the rate of 7.7 liters per second. How much time (in hours) will it take to empty 2/3 part of the tank, if the internal radius of the tank is 10.5m?

  6. SSC CGL • 2020

    If the surface area of a sphere is 1386 cm², then its volume is:

  7. SSC CGL • 2018

    A gun shoots a bullet at the speed of 500 m in 0.2 seconds. What is its speed in km/hr?

  8. SSC CGL • 2018

    What is the average of all numbers between 100 and 200 which are divisible by 13?

  9. SSC CGL • 2018

    If a + a² + a³ – 1 = 0, then what is the value of a³ + 1/a?

  10. SSC CGL • 2020

    A sold a watch to B at a profit of 20%. B sold it to C at 30% profit. C sold it to D at 10% loss. If B's profit is Rs 80 more than that of A, then D bought it for:

  11. SSC CGL • 2019

    A circle is inscribed in a quadrilateral ABCD touching AB, BC, CD and AD at the point P, Q, R and S, respectively and ∠B = 90°. If AD = 24 cm, AB = 27 cm and DR = 6 cm, then what is the circumference of the circle ?

  12. SSC CGL • 2018

    If A and B are the roots of the equation Ax² – A²x + AB = 0, then what is the value of A and B respectively?

  13. SSC CPO • 2025

    If a customer gets a discount of Rs. 144 on a product originally priced at Rs. 960, and is later charged 18% GST on the discounted price, what is the final bill amount?

  14. SSC CPO • 2025

    If sin A = 2x/(1 + x²) and cos A = (1 − x²)/(1 + x²), then what is tan A?

  15. SSC CGL • 2022

    The average of n numbers is 45. If 60% of the numbers are increased by 5 each and the remaining numbers are decreased by 10 each, then what is the average of the numbers so obtained?

  16. SSC CGL • 2019

    A solid cylinder of base radius 12 cm and height 15 cm is melted and recast into n toys each in shape of right circular cone of height 9 cm mounted on a hemisphere of radius 3cm. The value of n is:

  17. SSC CGL • 2017

    If O is the ortho centre of ΔABC and ∠BOC = 100°, the measure of ∠BAC is?

  18. SSC CGL • 2016

    O is the circumcentre of the isosceles Δ ABC. Given that AB = AC = 5 cm and BC = 6 cm. The radius of the circle is:

  19. SSC CGL • 2019

    The value of (26/7 \ of \ 41/5 ÷ 2/3) × 11/9÷ (3/4 × 22/3 \ of \ 1/2) ÷ 1/4) is?

  20. SSC CGL • 2022

    Study the given graph and answer the question that follows. [Image] The total production of fertilizers by country Y in 2017 and 2019 and by country X in 2016 is what percentage of the total production of fertilizers by country Z in 2016,2018 and 2020?

  21. SSC CGL • 2022

    If 91% of A is 39% of B, and B is x% of A, then the value of x is:

  22. SSC CGL • 2016

    B₁ is a point on the side AC of ΔABC and B₁B is joined. Line is drawn through A parallel to B₁B meeting BC at A₁ and another line is drawn through C parallel to B₁B meeting AB produced at C₁. Then:

  23. SSC CGL • 2018

    Oil equals to 20% of weight of groundnut is extracted in a mill. The matter left after extraction is sold as cattle feed at the rate of Rs 12.5/kg. The groundnuts are bought at Rs 20/kg. The processing cost is Rs 5/kg. At what price (Rs per kg) should the…

  24. SSC CGL • 2020

    The ratio of boys and girls in a school is 27 : 23. If the difference between the number of boys and girls is 200, then find the number of boys.

  25. SSC CGL • 2016

    The ratio of the amount of work done by (x-1) labours in (x+1) days and that done by (x+1) labours in (x+2) days is 5 : 6. Then the value of x is

  26. SSC CGL • 2020

    In △PQR, O is the incentre and ∠P = 42º. Then what is the measure of ∠QOR?

  27. SSC CPO • 2025

    If the sides of a parallelogram are in the ratio 3:4 and its perimeter is 84 cm, the longer side is:

  28. SSC CGL • 2018

    A taxi goes from City A to City B at an average speed of 84 km/hr. In the return journey due to traffic the average speed of the taxi falls by 24 km/hr. Find the average speed of the taxi (in km/hr) for the total journey.

  29. SSC CGL • 2019

    If 5√5 x³ + 2√2y³ = (Ax + √2y) (Bx² + 2y² + Cxy), then the value of (A² + B² - C²) is?

  30. SSC CGL • 2019

    Places A and B are 396 km apart. Train X leaves from A for B and Train Y leaves from B for A at the same time on the same day in parallel tracks. Both trains meet after 5.5hours. The speed of Y is 10 km/hr more than that of X. What is the speed of Y (in…

  31. SSC CGL • 2019

    An article is sold at a certain price. If it is sold at [Image] of this price, there is a loss of [Image] . What is the percentage profit when it is sold at 60% of the original price?

  32. SSC CGL • 2018

    If x² – 16x + 59 = 0, then what is the value of (x – 6)² + [1/(x – 6)²]?

  33. SSC CGL • 2017

    PQ and RS are common tangents to two circles intersecting at A and B. When AB produced both sides, meet the tangents PQ and RS at X and Y respectively. If AB = 3 cm, XY = 5 cm, then PQ (in cm) will be ____.

  34. SSC CGL • 2018

    If x + (1/x) = (√3 + 1)/2, then what is the value of x⁴ + 1/x⁴?

  35. SSC CPO • 2025

    A hemisphere has a diameter of 14 cm. Calculate its total surface area.

  36. SSC CGL • 2020

    The circumference of the base of a cylindrical vessel is 158.4 cm and its height is 1 m. How many liters of water can it hold (correct to one decimal place)? (Take π = 22/7 )

  37. SSC CGL • 2018

    A vendor buys bananas at 9 for Rs 8 and sells at 8 for Rs 9. What will be the profit or loss (in %)?

  38. SSC CGL • 2016

    The value of the expression (1 + sec 22^? + cot 68^?)(1 − cosec 22^? + tan 68^?) is

  39. SSC CGL • 2018

    If a and b are the roots of the equation Px² – Qx + R = 0, then what is the value of (1/a²) + (1/b²) + (a/b) + (b/a)?

  40. SSC CGL • 2016

    A can do a piece of work in 10 days and B can do it in 12 days. They work together for 3 days. Then B leaves and A alone continues. 2 days after that C joins and the work is completed in 2 days more. In how many days can C do it, if he works alone?

  41. SSC CGL • 2022

    P and Q start a shop with a capital of Rs. 150000 and Rs. 450000, respectively. After a year, out of the profit of Rs. 200000. P gets his share of profit plus some money as his salary that is not a part of the profit. If P gets a total of Rs. 90000, what is…

  42. SSC CGL • 2018

    A jogger covered a certain distance at some speed. Had he moved 3 km/hr faster, he would have taken 20 minutes less. If he had moved 1 km/hr slower, he would have taken 10 minutes more. What is the distance (in km) that he jogged?

  43. SSC CGL • 2018

    If x and y are natural numbers such that x + y = 2017, then what is the value of (– 1)ˣ + (– 1)ʸ?

  44. SSC CGL • 2019

    If a³ + b³ = 218 and a + b = 2, then the value of ab is ?

  45. SSC CGL • 2017

    If secA + tanA = a, then the value of cosA is:

  46. SSC CGL • 2020

    A cyclic quadrilateral ABCD is such that AB = BC, AD = DC and AC and BD intersect at O. If ∠CAD = 46º, then the measure of ∠AOB is equal to: [Image]

  47. SSC CGL • 2020

    The total number of students specializing in A and B exceeds the total number of students specializing in C and D by x, which lies between:

  48. SSC CGL • 2019

    The value of [(Sinθ - Cosθ)(1 + tanθ + cotθ)]/[1 + sinθcosθ] is __.

  49. SSC CPO • 2025

    A store advertises, “Buy items worth Rs. 3000, get Rs. 500 off instantly.” What is the effective discount percentage?

  50. SSC CGL • 2018

    If a vendor sells a coconut at Rs 14.4 he makes 10% loss. If he wants to make 25% profit, then at what price (in Rs) should he sell the coconut?