Quantitative Aptitude PYQ — Page 65

24,303 questions across SSC exams.

  1. SSC CGL • 2019

    The sides of a triangle are 56 cm, 90 cm and 106 cm. The circumference of circumcircle is:

  2. SSC Selection Post • 2025

    What is the unit digit (ones place) of the square of 84?

  3. SSC Selection Post • 2025

    Two triangles are similar if their corresponding sides are proportional. This is known as the:

  4. SSC CGL • 2025

    If tan(x + y) tan(x - y) = 1, then find the value of tan x.

  5. SSC CGL • 2023

    One chord of a circle is given as 20.5 cm. Then the radius (r) of the circle must be:

  6. SSC CGL • 2022

    Study the given pie charts and answer the question that follows. [Image] The number of students who appeared from institute B is what percentage more than the total number of students who passed from institutes A and C?

  7. SSC CGL • 2016

    If x² + y² + 6x + 5 = 4(x - y) then x - y is:

  8. SSC Selection Post • 2025

    A batsman has an average of 54 runs in 19 innings. How many runs should he score in the 20th innings to raise his average to 56?

  9. SSC Selection Post • 2025

    What is the reciprocal of 2/3 ?

  10. SSC Selection Post • 2025

    In a class, 60% of the students are boys and the rest are girls. If 40% of the boys and 50% of the girls passed a test, what percentage of the total students passed the test?

  11. SSC CGL • 2019

    The speed of a boat in still water is 18 km/hr and the speed of current is 6 km/hr. In how much time (in hours) will a boat travel a distance of 90 km upstream and the same distance downstream?

  12. SSC Selection Post • 2025

    Two circles touch each other internally. How many common tangents can be drawn?

  13. SSC Selection Post • 2025

    Which of the following is the effective annual rate of interest corresponding to a compound interest rate of 9% per annum compounded half-yearly?

  14. SSC CGL • 2026

    Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number: 4 : 49 : 6 : 81 : 8 : ?

  15. SSC Selection Post • 2025

    A recipe needs 3 cups of flour to make 12 muffins. How many cups of flour are needed to make 20 muffins in the same proportion?

  16. SSC Selection Post • 2025

    What is area of a rhombus which has diagonals 10 cm and 8 cm?

  17. SSC Selection Post • 2025

    A cyclist rides from town A to town B, which is 60 km away, at a speed of 15 km/h. After reaching town B, the cyclist immediately turns back and rides towards town A at a speed of 10 km/h. What is the cyclist's average speed for the entire journey?

  18. SSC Selection Post • 2025

    A student scores 75% marks in an exam. If he scored 450 marks and the remaining 25% of the marks were for practicals, what were the total marks for the exam (including practicals)?

  19. SSC Selection Post • 2025

    An online seller purchases a laptop at ₹40,000. He lists it at a 25% markup. Due to a festive sale, he gives a flat 10% discount on the listed price and offers free shipping costing him ₹500. What is the net profit or loss percentage?

  20. SSC Selection Post • 2025

    A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?

  21. SSC CGL • 2020

    If a regular polygon has 16 sides, then what is the measure (in degrees) of its each interior angle?

  22. SSC CGL • 2019

    The given pie chart shows the break up of total marks obtained by a student in five subjects A,B,C,D,E. The maximum marks in each subject is 150 & he obtained a total of 600 marks [Image] In how many subjects did the student obtain more than his average score?

  23. SSC Selection Post • 2025

    In a circle, there are two chords AB and CD of equal length. They subtend angles of x° and y° at the center, respectively. Which of the following is true?

  24. SSC CGL • 2018

    In the given figure, two identical circles of radius 4 cm touch each other. A and B are the centres of two circles. If RQ is a tangent to the circle, then what is the length (in cm) of RQ? [Image]

  25. SSC CGL • 2019

    Let a, b and c be fractions, such that a

  26. SSC Selection Post • 2025

    A certain sum triples in 8 years under compound interest. How many years will it take for that sum to grow to nine times its original value?

  27. SSC Selection Post • 2025

    Venus and Neptune take 8 hours 20 minutes and 10 hours 30 minutes, respectively, to complete one rotation. What is the ratio of their rotation times in simplest form?

  28. SSC Selection Post • 2025

    A certain sum triples in 8 years under compound interest. How many years will it take for that sum to grow to nine times its original value?

  29. SSC Selection Post • 2025

    The average marks of 30 students are 72. The top 5 students scored an average of 86 marks, while the last 5 students averaged 54. What is the average of the remaining 20 students?

  30. SSC CGL • 2025

    Rationalize: (√(2)+√(3))/(√(2)-√(3))

  31. SSC Selection Post • 2025

    How many years will it take for an investment of ₹5,000 to earn ₹1,000 as simple interest at an annual rate of 8%?

  32. SSC Selection Post • 2025

    The sum of 25% of a number and 40% of the same number is 325. What is 120% of that number?

  33. SSC Selection Post • 2025

    A 25% decrease in the cost of flour enables a consumer to purchase an additional 3 kg for ₹360. What was the initial price per kg of the flour?

  34. SSC CGL • 2018

    A, B and C can together do a job in 9 days. C alone can do the job in 36 days. In how many days can A and B do 50% of the job working together?

  35. SSC Selection Post • 2025

    The average of 8 consecutive numbers starting from 10 is:

  36. SSC Selection Post • 2025

    If tan(90°-θ)=3/4, what is cotθ?

  37. SSC CHSL • 2023

    Read the given statement and conclusions carefully. Assuming that the information given in the statement is true, decide which of the given conclusions logically follows from the statement. Statement: The new government policy aims to reduce carbon emissions…

  38. SSC CGL • 2018

    In the given figure, P is the centre of the circle. If QS = PR, then what is the ratio of ∠RSP to the ∠TPR? [Image]

  39. SSC CGL • 2018

    A prism has a regular hexagonal base whose side is 12 cm. The height of the prism is 24 cm. It is cut into 4 equal parts by 2 perpendicular cuts as shown in figure. What is the sum of the total surface area of the four parts ? [Image]

  40. SSC CGL • 2018

    If A alone can do a job in 40 days then, in how many days can B alone do the job if together they can do the job in 8 days?

  41. SSC CGL • 2016

    If a + b = 1, then a⁴+ b⁴ - a³ - b³ - 2a²b² + ab is equal to:

  42. SSC Selection Post • 2025

    If sin θ = 5/13 and θ is in the second quadrant, find the value of sin θ + cos θ.

  43. SSC Selection Post • 2025

    Given below are two statements marked as Assertion (A) and Reason (R). Read and mark the correct options: Assertion (A): The product of any two consecutive natural numbers is always even. Reason (R): If n is any natural number, then either n or n+1 must be…

  44. SSC CGL • 2020

    If sec = a/b , b ≠ 0, then (1 - tan²θ) / ( 2 - Sin²θ) = ?

  45. SSC CGL • 2017

    The average weight of 3 men A, B and C is 84 Kg. Another man D joins the group and the average now becomes 80 Kg. If another man E whose weight is 3 Kg more than that of D, replaces A then the average weight of B, C, D and E becomes 79 Kg. What is the weight…

  46. SSC Selection Post • 2025

    A man's salary was increased by 10% to ₹55,000. What was his original salary?

  47. SSC CGL • 2025

    What will come in the place of the question mark (?) in the following equation, if ‘+’ and ‘-’ are interchanged and ‘×’ and ‘÷’ are interchanged? 98 ÷ 7 + 288 × 2 - 144 × 3 - 152 ÷ 2 + 120 = ?

  48. SSC CGL • 2025

    If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’, and ‘D’ stands for ‘−’, what will come in place of the question mark (?) in the following equation? 55 B 5 D 13 B 2 C 14 A 7 D 15 B 5 C 102 A 2 C 15 = ?

  49. SSC Selection Post • 2025

    What is the mean proportional between 4 and 16?

  50. SSC Selection Post • 2025

    Consider the following two statements, labeled Assertion (A) and Reason (R). Evaluate them and choose the appropriate answer from the given options. Assertion (A): Two non-intersecting and non-touching circles have four common tangents. Reason (R): Two…