SarkariPYQ

Quantitative Aptitude PYQ — Page 337

24,303 questions across SSC exams.

  1. SSC CHSL • 2024

    Chords AB and CD of a circle, when produced, meet at a point P outside the circle. If AB = 6 cm, CD = 3 cm and PD = 5 cm, then PB is equal to:

  2. SSC CGL • 2025

    Suppose ₹X is invested, and after 2 years at 5% simple interest, it yields ₹Y interest. If ₹Y is then invested for 2 years at 5% simple interest, it yields ₹Z interest. Which of the following is true?

  3. SSC CGL • 2024

    In a quadrilateral ABCD, AB = BC, AD = DC. ∠ABD = 68°, ∠ADB = (2y - 7)°, ∠BDC = 33°, ∠DBC = (3x + 2)°. Then the value of 2x + 3y is:

  4. SSC CHSL • 2025

    A 40 litre solution contains 25% salt. How many litres of water must be evaporated so that the concentration of salt becomes 40%?

  5. SSC CGL • 2025

    A basket contains apples and oranges in the ratio 4 : 3. After removing 8 apples and adding 6 oranges, the new ratio becomes 1 : 1. How many fruits were there originally?

  6. SSC CGL • 2021

    x + y + z = 2 and xy + yz + zx = -11, then the value of x² + y²+ z² -3xyz is :

  7. SSC CGL • 2022

    If 5 sinθ - 4 cosθ =0, 0° (5sinθ + 2cosθ)/(5sinθ+3cosθ) is :

  8. SSC CGL • 2022

    A shopkeeper bought 60 penciles at a rate of 4 for Rs 5 and another 60 pencils at a rate of 2 for Rs 3. He mixed all the pencils and sold them at a rate of 3 for Rs 4. Find his gain or loss percentage.

  9. SSC CHSL • 2021

    If the ratio of the curved surface area and volume of a right circular cylinder is 5 : 7, then its radius is:

  10. SSC Selection Post • 2024

    If a number is divisible by both 11 and 13, then it must be:

  11. SSC GD • 2021

    Aman spends 74% of his income. If his expenditure increases by 30% and savings increase by 25%, then by what percentage will his income increase?

  12. SSC CHSL • 2021

    If 0º ((1+cos θ)(cosec θ-cot θ)sec θ)/(sin θ(1-sinθ)(sec θ+tan θ))=?

  13. SSC CHSL • 2020

    The following graph shows the number of books sold by a book-seller during five months of 2019, April, May, June, July and August. Study the graph and answer the question. [Image] The total number of books sold during these five months is:

  14. SSC CGL • 2020

    If 2 sinθ + 15 cos²θ = 7, 0ᵒ < θ < 90ᵒ, then tanθ + cosθ + secθ =

  15. SSC CGL • 2021

    If tanθ + 3cotθ - 2√3 = 0, 0°

  16. SSC CHSL • 2023

    If l + m + n = 0, then what will be the value of ((l²)/mn+(m²)/nl+(n²)/lm) ?

  17. SSC Selection Post • 2019

    A can finish a piece of work in 33 days and B can do the same work in one-third the time taken by A. Working together how much of the same work can they both finish in six days?

  18. SSC CGL • 2023

    Find the value of the following expression. 12(sin⁴ θ + cos⁴ θ ) + 18(sin⁶ θ + cos⁶ θ ) + 78sin² θ cos² θ

  19. SSC CHSL • 2020

    The value of [(a² – b²)³ + (b² – c²)³ + (c² – a²)³] ÷ [(a – b)³ + (b – c)³ + (c – a)³ is equal to: (Given a ≠ b ≠ c)

  20. SSC CHSL • 2025

    A can do a certain work in the same time that B and C together can do it. If A and B together could do it in 10 days and C alone in 40 days, then A alone could do it in:

  21. SSC CGL • 2023

    Simplify the following: sin 2x + 2 sin 4x + sin 6x

  22. SSC CGL • 2023

    Select the incorrect formula from the following Options.

  23. SSC CGL • 2025

    A triangular field with base 40 m and height 30 m shares a side with a rectangle of length 40 m and breadth 25 m. Find the combined area and percentage of the triangle’s area in the total.

  24. SSC MTS • 2019

    The area of rhombus is 300 cm². If the length of one of the diagonals of the rhombus is 30 cm, then what is the length(in cm) of the second diagonal?

  25. SSC CGL • 2019

    The table shows the production of different types of cars (in thousands). [Table] What is the ratio of the total production of type E cars in 2014 and type C cars in 2016 taken together to the total production of type B cars in 2014 and type D cars in 2013…

  26. SSC CHSL • 2023

    What will be the present value of Rs.13,230 due two years hence, when the interest is compounded at the rate of 5% per annual?

  27. SSC CHSL • 2025

    Convert the recurring decimal 0.272727... into a simple fraction in its lowest terms.

  28. SSC CGL • 2022

    The cost of a piece of diamond varies with the square of its weight. A diamond of Rs.6,084 value is cut into 3 pieces whose weights are in the ratio 3 : 2 : 1. Find the loss involved in the cutting.

  29. SSC CGL • 2023

    An inlet pipe can fill an empty tank in 41/2 hours while an outlet pipe drains a completely filled tank in 71/5 hours. The tank is initially empty, and the two pipes are alternately opened for an hour each, till the tank is completely filled, starting with…

  30. SSC CHSL • 2024

    What is the value of cos(x + y) - sin(x - y) + tan(2z)?

  31. SSC CGL • 2024

    In ΔPQR, if 4∠P = 5∠Q = 20∠R, then the value of ∠Q is:

  32. SSC CHSL • 2022

    A thief was spotted by a policeman from a distance of 225 meters. When the policeman started the chase, the thief also started running. If the speed of the thief was 11 km/h and that of the policeman was 13 km/h, how far would the thief have run, before the…

  33. SSC CHSL • 2025

    A solid hemispherical block is melted and recast into a cylinder of the same radius. The height of the cylinder is what fraction of the radius of the hemisphere?

  34. SSC GD • 2019

    The area of an equilateral triangle is 6√3 times the area of a rhombus whose one side measures 13 cm and one diagonal is 10 cm. The length of side of the triangle, in cm, is:

  35. SSC GD • 2019

    Curved surface area of a cylinder is 110 cm². If the height of cylinder is 5 cm, then what will be the diameter of its base?

  36. SSC Selection Post • 2024

    Select the correct statement about the properties of a triangle.

  37. SSC CGL • 2020

    The following table shows the income (in Rs.) for a particular month, together with their source, in respect of 5 employees (A, B, C, D and E). [Table] How many employees got more than a total of Rs.10,000 as income other than salary?

  38. SSC CGL • 2024

    From the given data , find the ratio of the cost prices of a shirt and a trouser. [Table]

  39. SSC CGL • 2022

    The marked price of a chair is Rs. 2,400, which is 20% above the cost price. If the chair is sold at a discount of 10% on marked price, what is the profit percentage?

  40. SSC CGL • 2023

    A can do a certain piece of work in 1.5 times the number of days in which B and C together can do it. If A and B together can do the said piece of work in 30 days and C alone can do it in 120 days, then how many days will B take to do this piece of work alone?

  41. SSC Selection Post • 2020

    Sujatha spends 18% of her monthly income on house rent, 40% of the income on groceries and 55% of the remaining on her children’s education and others. If her monthly savings is ₹4,725, then her expenditure on ‘education and others’ is:

  42. SSC CGL • 2024

    The total sales of branch B6 for both the years is what percentage of the total sales of branch B3 for both the years (correct up to two decimal places)?

  43. SSC CHSL • 2022

    If sinx-3cosx= √(3) cosx, then the value of cot x is:

  44. SSC CHSL • 2025

    A painter is hired to paint a wall with a special shade. To prepare the paint, he mixes red, blue, and white in the ratio 4 : 2 : 1. For this design, he prepares 14 liters of paint in total. How many liters of white paint does he use?

  45. SSC CGL • 2016

    If x² + y² + 2x + 1 = 0, then the value of x³¹ + y35 is

  46. SSC Selection Post • 2020

    The average of the ages of A and B is 25 years, that of B and C is 30 years and that of C and A is 32 years. The age of C (in years) is:

  47. SSC MTS • 2022

    A man takes 4 hours and 30 minutes to row a boat a distance of 18 km downtream, and 3 hours 30 minutes to row the boat a distance of 7 km upstream. Find the speed of the stream.

  48. SSC CHSL • 2020

    If x + y + z = 10, x³ + y³ + z³ = 75 and xyz = 15, then find the value of x² + y² + z² – xy – yz – zx

  49. SSC CGL • 2023

    A boat covers a distance of 12 km in 1 hour upstream and in 45 minutes downstream. Find the speed of the boat and the stream (in km/h).

  50. SSC CGL • 2024

    A policeman is chasing a thief at a speed of 82 km/h. The thief is 1300 m away and is running at a speed of 64 km/h. In how much time will the policeman catch the thief if both are riding on bikes?