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Quantitative Aptitude PYQ — Page 430

24,303 questions across SSC exams.

  1. SSC GD • 2019

    When a person goes to his office from his house with a speed of 10 km/hr, he is late by 20 minutes. When he goes with speed of 15 km/hr, he is late by 5 minutes. What is the distance (in km) between his office and house?

  2. SSC CHSL • 2025

    If sin θ=2/3 and θ is an acute angle, what is the value of cos²θ−sin²θ?

  3. SSC MTS • 2022

    Study the given pie chart and answer the question that follows. The following pie chart shows the sectors representing the shares of the number of chairs produced in a given year of each of the six different brands in terms of the central angles (in degrees)…

  4. SSC CGL • 2017

    ABCD is a cyclic quadrilateral of which AB is the diameter. Diagonals AC and BD intersect at E. If ∠DBC = 35°, then ∠AED measures:

  5. SSC CGL • 2022

    Alloy A contains metals x and y only in the ratio 5 : 2, while alloy B contains them in the ratio 3 ; 4. Alloy C is prepared by mixing alloys A and B in the ratio 4 : 5. The percentage of x in alloy C is:

  6. SSC CGL • 2016

    ΔABC is similar to ΔDEF. If area of ΔABC is 9 sq.cm. and area of ΔDEF is 16 sq.cm. and BC = 2.1 cm, then the length of EF will be:

  7. SSC CHSL • 2021

    A drum contains 40 litres of milk. One-fourth of the milk is taken out and replaced with water. Then, half of the mixture is taken out and replaced with water. What is the respective quantity of milk and water left in the drum?

  8. SSC CGL • 2020

    The volume of a hemisphere is 2425½cm³. Find its radius. (Take π = 22/7)

  9. SSC CGL • 2018

    In the figure, AQ = 4√2 cm, QC = 6√2 cm and AB = 20 cm. If PQ is parallel to BC, then what is the value (in cm) of PB? [Image]

  10. SSC CGL • 2023

    If acotθ + b cosecθ = p and b cot + a cosec = q then p² - q² is equal to

  11. SSC CGL • 2019

    Renu was sitting inside Train A, which was travelling at 50 km/hr. Another Train B, whose length was three times the length of A and crossed her in opposite direction in 15 seconds. If the speed of Train B was 58 km/hr, then the length of Train A (in m) is ?

  12. SSC CHSL • 2021

    Ravi can row a boat in still water at the speed of 14 km/h. If a river is flowing at the speed of 2 km/h and Ravi takes 3 hours to cover a certain distance upstream, then how much time will he take to cover the same distance downstream?

  13. SSC CGL • 2020

    In △ABC, ∠C = 90º. Points P and Q are on the sides AC and BC, respectively, such that AP : PC = BQ : QC = 1 : 2. Then , (AQ² + BP²)/(AB)²/2 is equal to:

  14. SSC CGL • 2018

    How many job applicants had applied if the ratio of selected to unselected was 19:17. If 1,200 less had applied and 800 less selected, then the ratio of selected to unselected would have been 1:1.

  15. SSC CGL • 2018

    If a shopkeeper sells a mixer at Rs 11,400 then he suffers a loss of 5%. At what price (in Rs) should he sell the mixer to gain 10%?

  16. SSC CGL • 2019

    A sector of radius 10.5cm with the central angle 120° is folded to form a cone by joining the two bounding radii of the sector. What is the volume (in cm³) of the cone so formed?

  17. SSC CPO • 2025

    A polygon has a total of 35 diagonals. How many sides does the polygon have?

  18. SSC CGL • 2022

    A sum of money at simple interest amounts to Rs. 6000 in 4 years and to Rs. 6750 in 7 years at the same rate per cent p.a. of interest. The sum (in Rs.) is:

  19. SSC CGL • 2020

    When positive numbers a, b and c are divided by 13, the remainders are 9, 7 and 10, respectively. What will be the remainder when (a + 2b + 5c) is divided by 13?

  20. SSC CGL • 2019

    One of the factors of (8²ᵏ + 5²ᵏ), where k is an odd number, is ?

  21. SSC CGL • 2018

    If 6A = 4B = 9C; what is A : B : C ?

  22. SSC CPO • 2025

    A product marked Rs. 1800 is sold with a 10% discount and then taxed with 18% GST. What is the amount of GST charged?

  23. SSC CGL • 2018

    In the given figure, MNOP is a parallelogram. PM is extended to Z. OZ intersects MN and PN at Y and X respectively. If OX = 27 cm and XY = 18 cm, then what is the length (in cm) of YZ ? [Image]

  24. SSC CGL • 2016

    The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the school students who are not scholarship holders is ____.

  25. SSC CGL • 2019

    Rs. 820 is divided among 6 men 8 women and 12 boys in such a way that every women gets an amount equal to that received by one man and one boy combined and that every man gets one and a half times the amount received by a boy. What is the total amount…

  26. SSC CGL • 2020

    The numerator of a fraction is 6 less than its denominator. If the numerator is decreased by 1 and the denominator is increased by 5, then its denominator becomes 4 times the numerator. Find the fraction.

  27. SSC CGL • 2017

    In a triangle, ABC, ∠A = 70°, ∠B = 80° and D is the incentre of ΔABC. ∠ACB = 2x° and ∠BOC = y°. The values of (x + y), respectively are:

  28. SSC CGL • 2018

    What is the area (in cm²) of the circumcircle of a triangle whose sides are 6 cm, 8 cm and 10 cm respectively?

  29. SSC CPO • 2025

    Convert 225 to radians.

  30. SSC CGL • 2019

    In quadrilateral ABCD, ∠C = 72°, ∠D = 28°. The bisectors of ∠A and ∠B meet in O. What is the measure of the ∠AOB?

  31. SSC CGL • 2018

    A grain trader has 100 bags of rice. He sold some bags at 10% profit and rest at 20% profit. His overall profit on selling these 100 bags was 14%. How many bags did he sell at 20% profit?

  32. SSC CGL • 2018

    In triangle PQR, C is the centroid. PQ = 30 cm, QR = 36 cm and PR = 50 cm. If D is the midpoint of QR, then what is the length (in cm) of CD?

  33. SSC CPO • 2025

    The number of sides of two regular polygons are in the ratio 4:3. If the difference between their exterior angles is 10°, find the number of sides in each polygon.

  34. SSC CGL • 2019

    The internal and external radii of a hollow hemispherical vessel are 6cm and 7cm respectively. What is the total surface area (in cm²) of the vessel ?

  35. SSC CGL • 2020

    In a circle with centre O, a diameter AB is produced to a point P lying outside the circle and PT is a tangent to the circle at the point C on it. If ∠BPT = 36º, then what is the measure of ∠BCP?

  36. SSC CGL • 2016

    Two bottles contain acid and water in the ratio 2 : 3 and 1 : 2 respectively. These are mixed in the ratio 1 : 3. What is the ratio of acid and water in the new mixture?

  37. SSC CGL • 2022

    The ratio of the distance between two places A and B to the distance between places B and C is 3 : 5. A man travels from A to B at a speed of x km/h and from B to C at a speed of 50 km/h. If his average speed for the entire journey is 40km/h, then what is…

  38. SSC CGL • 2020

    In △ABC, right-angled at B, if tan A = 1/2 , then the value of (sinA(cosC+cosA))/(cosC(sinC-sinA) is:

  39. SSC CGL • 2019

    The given bar graph shows the marks obtained by students in an examination. [Image] The number of students who obtained less than 300 marks is what percent more than the number of students who obtained 350 or more marks ?

  40. SSC CGL • 2016

    A chord of a circle is equal to its radius. The angle subtended by this chord at a point on the circumference is:

  41. SSC CGL • 2022

    If (sec θ - tan θ)/(sec θ + tan θ)=1/7, θ lies in the first quadrant, then the value of (cosec θ + cot² θ)/(cosec θ - cot² θ) is:

  42. SSC CGL • 2018

    What is the third proportional to 10 and 20?

  43. SSC CGL • 2018

    If 50 less had applied and 25 less selected, the ratio of selected to unselected would have bee 9 : 4. So how many candidates had applied if the ratio of selected to unselected was 2 : 1?

  44. SSC CGL • 2018

    The ratio of the sum of the salaries of A and B to the difference of their salaries is 11:1 and the ratio of the sum of the salaries of B and C to the difference of their salaries is also 11:1. If A's salary is the highest and C's is the lowest then what is…

  45. SSC CGL • 2022

    If x = 32.5, y = 34.6 and z = 30.9, then the vlue of x³ + y³ + z³ - 3xyz is 0.98k, where K is equal to:

  46. SSC CPO • 2025

    A man walks at a speed of √x km/hr. After 2 hours, he has covered the same number of kilometers as the value of x. What is the value of x?

  47. SSC CGL • 2018

    What is the fourth proportional to 189, 273, and 153?

  48. SSC CGL • 2019

    In triangle ABC, AB = AC and D is a point on BC. If BD = 5 cm, AB = 12 cm and AD = 8 cm, then the length of CD is:

  49. SSC CGL • 2017

    In a right – angled triangle ΔDEF, if the length of the hypotenuse EF is 12 cm, then the length of the median DX is

  50. SSC CGL • 2022

    A sum of Rs 46,800 is divided among A, B , C and D in such a way that the ratio of the combined share of A and D to the combined share of B and C is 8 : 5. The ratio of the share of B to that of C is 5 : 4. A receives Rs 18,400. If x is the difference…