SarkariPYQ

Quantitative Aptitude PYQ — Page 390

24,303 questions across SSC exams.

  1. SSC Selection Post • 2022

    If the 8-digit number 63k4021p is divisible by 72, then find the value of (5k - 3p).

  2. SSC CGL • 2022

    A can complete 25% of a work in 15 days. He works for 15 days and then B alone finishes the remaining work in 30 days. In how many days will A and B working together finish 50% of the same work?

  3. SSC CGL • 2024

    If A : B = 6 : 8 and B : C = 5 : 12, then A : B : C is:

  4. SSC CHSL • 2021

    In a circle with centre 0, chord AB and diameter CD intersect each other at point E, inside the circle. If ∠AOD = 42° and ∠BOC = 104°, then what is the measure (in degrees) of ∠AED?

  5. SSC CGL • 2021

    In ∆ABC, AD ⊥ BC at D and AE is the bisector of ∠A. If ∠B = 62° and ∠C = 36°, then what is the measure of ∠DAE?

  6. SSC Selection Post • 2022

    The value of sin² (2π)/3 + cos²(5π)/6 - tan² (3π)/4 is :

  7. SSC CGL • 2025

    A man observes the top of a pole with an angle of elevation of 45°. He walks 15 m towards the pole, and the angle of elevation becomes 60°. What is the height of the pole?

  8. SSC Selection Post • 2020

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

  9. SSC CHSL • 2022

    Kamal purchases 80 articles for ₹11,180 and sells them at a loss equal to the selling price of 6 articles. What will be the selling price of 1 article?

  10. SSC Selection Post • 2024

    The selling price of 80 items is equal to the cost price of 72 items. What is the percentage of loss incurred in the transaction?

  11. SSC CGL • 2022

    In triangle ABC, the bisector of angle BAC cuts the line BC at D. If BD = 6 and BC = 14 then what is the value of AB : AC?

  12. SSC MTS • 2022

    Aman goes from A to B at a speed of 40 km/h. Using the same route, he comes back from B to A, at a speed of 55 km/h. What is his approximate average speed for the whole journey?

  13. SSC Selection Post • 2020

    The average of five consecutive even numbers (in increasing order) is k. If the next four consecutive even numbers are included, then the average of all the numbers is:

  14. SSC CHSL • 2023

    The average of 18 integers is found to be 41. It was detected that by mistake the integer 127 was copied as 341, while calculating the average. Then the correct average is:

  15. SSC CHSL • 2020

    The given graph represents the percentage of distribuition of the total expenditure of a company. Study the graph and answer the question that follows. [Image] What is the ratio of the total expenditure on 'Infrastructure' and 'Transport' to the total…

  16. SSC CGL • 2021

    If x⁴ + y⁴ + x²y² = 21 and x² + y² - xy = 7, then what is the value of x/y + y/x ?

  17. SSC CGL • 2023

    If ( x+1/x )=2√(2) , and x > 1, what is the value of ( x⁶-1/(x⁶) ) ?

  18. SSC Selection Post • 2022

    The simple interest on a certain sum of money at the rate of 8% p.a. for 9 years is ₹2,880. At what rate of interest can the same amount of interest can be received on the same sum for 12 years?

  19. SSC CGL • 2021

    If p is the third proportional to 3, 9, then what is the fourth proportional to 6, p, 4 ?

  20. SSC CGL • 2021

    The bar graph shows the number of students enrolled for a science course in institites A and B during 5 years from 2014 to 2018. [Image] What is the ratio of the total number of students enrolled in institutes B in 2015 and 2017 to that of students enrolled…

  21. SSC CHSL • 2024

    Pomegranate juice contains 10% sugar solution and orange juice contains 30% sugar solution. What is the percentage of sugar solution in a mixture of two liters of pomegranate juice and three liters of orange juice?

  22. SSC CGL • 2020

    If x, y, z are three numbers such that x + y = 13, y + z = 15 and z + x = 16, then the value of (xy + xz) / (xyz) is:

  23. SSC CGL • 2024

    The given pie-chart shows the data on A, B, O, and AB blood groups of 240 donors. Study the chart and answer the question that follows. [Image] What is the ratio of the average donors of blood groups ‘A’, ‘O’, and ‘AB’ to the donors of blood group ‘B’?

  24. SSC Selection Post • 2023

    Find the mean proportion between p-qover p+qand (pq)²over p²-q² .

  25. SSC CGL • 2024

    A triangle ABC is made on a circle, where AB is the diameter of the circle. If BC is equal to the radius of the circle and ∠ABC = x ∠BAC, then x is :

  26. SSC CHSL • 2025

    Rs. 4000 is invested in a scheme of compound interest (compounding annually) at the annual rate of 15 percent. What will be the difference between compound interest of second year and third year?

  27. SSC CGL • 2023

    If sin x = 3/10 then what is the value of tan x + cot x = ?

  28. SSC CHSL • 2020

    A sells an item at 20% profit to B, B sells the same at 10% profit to C and receives Rs.1,32,000.0. Had C purchased the same item from A, he would have spent 5% less than what he spent with B. What profit would A have made then?

  29. SSC CGL • 2021

    In Δ ABC, ∠ C = 90º and Q is the midpoint of BC. If AB = 10 cm and AC = 2 √(10) cm, then the length of AQ is:

  30. SSC CHSL • 2024

    In ΔABC, D and E are points on sides AB and AC, such that DE ∥ BC. If AD = x,DB = x - 3,AE = x + 3 and EC = x - 2, then the value of x is:

  31. SSC Selection Post • 2019

    The average of six consecutive odd numbers is 36. If next four consecutive odd numbers are included, then what is the average of all the numbers?

  32. SSC CGL • 2025

    From a survey of 300 students, find the ratio of those who play Cricket to those who play Basketball using the data: [Table]

  33. SSC CHSL • 2019

    The chord of the contact of tangents drawn from a point on the circle x² + y² = a² to the circle x² + y² = b² touches the circle x² + y² = c² such that bᵖ = aᵐcⁿ , where m, n, p, ? N, and m, n, p are prime to each other, then the value of 2m + n + 2p – 3 is:

  34. SSC Selection Post • 2022

    Find the number of consecutive zeroes at the end of 649!.

  35. SSC CGL • 2022

    If tan²θ = 1 – a², then the value of secθ + tan³θ cosecθ is.

  36. SSC GD • 2019

    Study the following table and answer questions: Number of students studying in five schools of a city [Table] In how many schools, the number of girls is more than the average number of boys per school?

  37. SSC GD • 2019

    Out of 100 articles, 25 articles were sold at 25% profit and the remaining articles were sold at 25% loss. What will be the total loss percentage?

  38. SSC CHSL • 2020

    If x + 1/x = 4, then the value of x⁴ + (1/x)⁴ is:

  39. SSC CHSL • 2023

    The table shows the annual income of 5 schools in thousands: [Table] In how many schools in the tuition fee less than four times the activity fee?

  40. SSC Selection Post • 2022

    What is the average of the first 8 multiples of 8?

  41. SSC Selection Post • 2022

    If x¹/3 - y¹/3 = z¹/3 , then find the value of (x - y - z)³ - 27xyz.

  42. SSC GD • 2021

    12 spherical balls of radius 10 cm are dropped in a bucket which is full of water up to the brim. The water flowed out is collected in a cylindrical jar of radius 20 cm. What is the height (in cm) of the water in the jar? (Take π = 22/7)

  43. SSC CGL • 2020

    Sonu saves 15% of her income. If her income increase by 20% and she still saves the same amount as before, then what is the percentage increase in her expenditure? (correct to one decimal place).

  44. SSC CHSL • 2024

    What is the present worth of ₹ 2,400 due in 4 years at a rate of 5% simple interest per annum?

  45. SSC GD • 2021

    A person can row a yacht along the stream at a speed of 9 km/h and against the stream at a speed of 7 km/h. The speed of the stream is:

  46. SSC CGL • 2025

    The angles of elevation of the top of a cliff from two points on the ground, 200 m apart, and on opposite sides of the cliff, are 30° and 45°. What is the height of the cliff?

  47. SSC CGL • 2020

    If 5Cos²θ + 1 = 3Sin²θ, 0ᵒ < θ < 90ᵒ, then what is the value of (tanθ + Secθ)/(Cotθ + Cosecθ)?

  48. SSC CGL • 2024

    If A is an acute angle and tanA + cotA = 2, find the value of 7tan⁸A - 6cot⁸A + 8sec²A.

  49. SSC CGL • 2022

    What is the least number which when decreased by 7 is divisible by 15, 24, 28 and 32?

  50. SSC CGL • 2025

    A spherical shell has an outer diameter of 20 cm and is 1 cm thick. What is the volume of the material in the shell? (Useπ = 3.14)