SarkariPYQ

Quantitative Aptitude PYQ — Page 343

24,303 questions across SSC exams.

  1. SSC CHSL • 2021

    In how many years, the compounded annually on a sum of Rs.60,000 at rate of 8% per annum is Rs.9,984?

  2. SSC CHSL • 2020

    If a and b are two positive real numbers such that 4a² + b² = 20 and ab = 4, then the value of 2a + b is:

  3. SSC CGL • 2025

    A fruit vendor sells 15 kg of apples for ₹750, thereby gaining the cost price of 5 kg of apples. What is his profit percentage?

  4. SSC CHSL • 2025

    A sum of Rs. 7,500 is invested in a scheme offering r% compound interest for 2 years. Find the value of 'r' if the difference in the simple interest and compound interest for the same amount at the same rate of interest after 2 years is Rs. 108.

  5. SSC CHSL • 2023

    Three circles of radius 7 cm are placed in such a way that each circle touches the other two. What will be the area of the portion enclosed by these three circles?

  6. SSC MTS • 2022

    The following bar graph shows the number of patients visiting a hospital on different days of a certain week. [Image] Calculate the ratio of the total number of patients visiting the hospital on Monday and Wednesday to the number of patients visiting the…

  7. SSC CGL • 2024

    If (a+1over a)=7sqrt3 , then what is the value of (a⁶ + a⁻⁶)?

  8. SSC CGL • 2018

    An equilateral triangle of area 300 cm² is cut from its three vertices to form a regular hexagon. Area of hexagon is what percent of the area of triangle?

  9. SSC CHSL • 2025

    The denominator of a fraction is 5 more than its numerator. If 3 is added to both the numerator and denominator, will the new fraction equal 2/3? What was the original fraction?

  10. SSC CGL • 2023

    Find the value of the given expression. sin 600°.cos 750° + sin 150°.cos 240°

  11. SSC CHSL • 2023

    Basanthi deposited ₹50,000 in a co-operative bank which is giving compound interest at the rate of 10% per annum. What will be her interest in the 3rd year?

  12. SSC CHSL • 2023

    If sin θ - cos θ = 1/5 , then find the value of sin θ + cos θ.

  13. SSC CGL • 2020

    What is the value of (cosec(78ᵒ + θ) - sec(12ᵒ - θ) - tan(67ᵒ + θ) + cot(23ᵒ - θ))/(tan 13ᵒ tan 37ᵒ tan 45ᵒ tan 53ᵒ tan77ᵒ)

  14. SSC CHSL • 2022

    Two trains each 200 m long are moving in opposite directions. They cross each other in 10 seconds. If the speed of one train is 90 km/h, find the speed of the other train.

  15. SSC CGL • 2020

    Ten men or twelve women can finish the same work in 10 days. If 5 men and9 2 women undertake the work together, how many days will they take to complete the work?

  16. SSC Selection Post • 2024

    What annual instalment will discharge a debt of Rs. 3,658 due in four years at 12% simple interest per annum?

  17. SSC CGL • 2020

    If 3ᵃ = 27ᵇ = 81ᶜ and abc = 144, then the value of 12(1/a + 1/2b + 1/5c) is :

  18. SSC CHSL • 2023

    Simplify the expression: (c + d)² - (c - d)²

  19. SSC Selection Post • 2024

    A store is running a scheme for offering a discount of 12% if the customer pays instantly, and a discount of 6% if purchased through a credit card. The benefit of the scheme may be split on the amount of payment; however, only one discount shall be given on…

  20. SSC CGL • 2025

    A building has 4 square pyramidal turrets, each of base 4 m and height 6 m. If each need 1.25 times volume for structural fill, find total fill needed.

  21. SSC CGL • 2019

    The table shows the production of different types of cars (in thousands). [Table] If the data related to the production of type D cars is represented by a pie chart. then the central angle of the sector representing the production of cars in 2017 will be:

  22. SSC CHSL • 2025

    If sin x = 3/5 and x is acute, find the value of (2tan x + sec x).

  23. SSC Selection Post • 2022

    A policeman follows a thief, who is 840 metres ahead of him. The thief and the policeman run at a speed of 7.5 km/h and 9 km/h, respectively. What distance (in km) is run by the thief before he is nabbed by the policeman?

  24. SSC GD • 2019

    The table given below shows the number of students enrolled in different courses of different colleges. [Image] Which college has the highest average number of students per course?

  25. SSC CGL • 2025

    If x : y = 2 : 5, then what is (2x + 3y) : (x + y)?

  26. SSC CHSL • 2023

    What is the value of the expression sinA(1+sinA/cosA)+cosA(1+cosA/sinA) ?

  27. SSC CHSL • 2022

    If cos(x - y) = √3/2 and sin (x + y) = 1, where x and y are positive acute angles and x ≥ y, then x and y are: (0°

  28. SSC CGL • 2024

    The marked price of an article is 26% more than its cost price. If a discount of 32% is given, what will be the loss percentage?

  29. SSC CGL • 2022

    A household appliances company offers two successive discounts of 20% and 35% on the sale of a food processor. What is the final sale price (in Rs, to the nearest rupee) of a food processor costing Rs 4580?

  30. SSC CGL • 2019

    A sum of Rs. 15,000 is lent at 16% p.a. compound interest. What is the difference between the compound interest for the second year and the third year?

  31. SSC MTS • 2022

    The length of each side of a rhombus is 10 cm. If the length of one of its diagonals is 16 cm, then what is the area of the rhombus?

  32. SSC CGL • 2024

    For what value of k, the system of equations kx - 15y + 7 = 0 and 7x - 21y - 19 = 0 has NO solution?

  33. SSC CGL • 2022

    The price of a scooter increases successively by 10%, 5%, and 15%. What is the total percentage increase in the price of scooters?

  34. SSC CGL • 2023

    A man, a woman and a boy can complete job in 3, 5 and 15 days, respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/5 of a day?

  35. SSC CHSL • 2022

    The average of 16 numbers is 23. The average of the first 7 numbers is 21 and that of the last 8 numbers is 24. Find the 8th number.

  36. SSC CGL • 2025

    A floor is 12 m × 9 m. If tiles of 1.5 m × 1.5 m are used, how many tiles are needed?

  37. SSC Selection Post • 2022

    The difference between 80% and 65% of the same number is 135. What is 49% of the same number?

  38. SSC CHSL • 2019

    A sum of Rs. 7,500 amounts to Rs. 8,748 after 2 years at a certain compound interest rate per annum. What will be the simple interest on the same sum for 5 years at double the earlier interest rate?

  39. SSC Selection Post • 2022

    In △ABC, ∠B = 87° and ∠C = 60°. Points D and E are on the side AB and AC, respectively, such that ∠DEC = 93° and DE : BC = 5 : 9. If AB = 14.4 cm, then the length of AE is:

  40. SSC CGL • 2018

    If 12A = 16B = 15C; find A : B : C.

  41. SSC CGL • 2025

    Three groups of boys have average ages 20, 22, and 24 respectively. If the number of students in the three groups is in the ratio 1 : 3 : 6, what is the overall average age?

  42. SSC CHSL • 2023

    The given expression is equal to: (sin⁴ A+ cos⁴ A)/(1-2sin² A cos² A)

  43. SSC CGL • 2022

    The ratio of the profit of P and Q is 5 : 8. What is their investment ratio, if their investment time period ratio is 3 : 5?

  44. SSC CGL • 2022

    If the diameter of a hemisphere is 28 cm, then what is the volume of hemisphere?

  45. SSC CHSL • 2023

    In a ΔPQR, the bisectors of P and R meet at a point M inside the triangle. If the measurement of ∠PMR is 127°, then the measurement of ∠Q is:

  46. SSC Selection Post • 2022

    If 3 tan θ = 2 √(3) sin θ, 0° 3over 4 (cosec² 2θ + cot² 2θ over sin² θ + tan² 2θ) is:

  47. SSC CGL • 2023

    Simplify the given expression. 15 - (-5) × {4 - (7 - 3)} ÷ [3 × {5 ÷ (-3) × (-6)}]

  48. SSC MTS • 2022

    A train can completely cross a 1000-meter long bridge in 15 seconds. It can completely cross another 1300-meter long bridge in 19 seconds. What is the length of the train?

  49. SSC CGL • 2020

    The simple interest on a sum of money for 3 years at an interest rate of 6% p.a. is Rs.6,750. What will be the compound interest rounded off on the same sum at the same rate for the same period, compounded annually is closest to :

  50. SSC CGL • 2024

    Find the diameter (in cm) of a circle whose circumference is equal to the sum of the circumferences of two circles of radii 12 cm and 16 cm.