Quantitative Aptitude PYQ — Page 318

24,303 questions across SSC exams.

  1. SSC GD • 2019

    The area of a square and a rectangle are equal. The length of the rectangle is greater than the side of a square by 5 cm and its breadth is less than the side of square by 4 cm. What will be the perimeter of the rectangle?

  2. SSC CGL • 2019

    In triangle ABC, D and E are the points on sides AB and BC respectively such that DE || AC. If AD : DB = 5 : 3, then what is the ratio of the area of triangle BDE to that of the trapezium ACED?

  3. SSC CGL • 2020

    ΔABC is an equilateral triangle and AD ⊥ BC, where D lies on BC. If AD = 4√3 cm, then what is the perimeter (in cm) of ΔABC ?

  4. SSC GD • 2021

    The perimeter of a square is 64 cm. The area of a rectangle is 16 cm² less than the area of the square. If the length of rectangle is 20 cm, what is the perimeter of the rectangle?

  5. SSC CGL • 2024

    Simplify (232)³ + (140)³ +(353)³ -3 × 232 × 140 × 353 over (232)²+(140)²+(353)² - 2321×40 - 140×353 - 353×232 .

  6. SSC CGL • 2024

    If, on a marked price, the difference between selling prices with a discount of 65% and with two successive discounts of 30% and 40% is ₹105, then the marked price (in ₹) is:

  7. SSC CGL • 2020

    When two equal amounts are deposited for 5 years and 3 years at the rate of 7% and 9% per annum respectively, and the difference of their simple interest is Rs.475. Then find the deposited amount.

  8. SSC MTS • 2022

    Simplify the following expression. 25 + 12 − 2 + (4 ÷ 2)

  9. SSC GD • 2021

    If the sides of a triangle measure 21cm, 35cm and 28cm, what is the measure of its in radius?(in cm)

  10. SSC Selection Post • 2020

    After allowing three successive discounts of 10%, 20% and 5% on the marked price of an article, it is sold for ₹2,394. The cost price of the article is ₹2,500. If it is sold at the marked price, then the profit will be:

  11. SSC CHSL • 2025

    A 60 litre container holds a mixture of milk and water in the ratio 7:3. If 12 litres of this mixture is taken out and replaced with 12 litres of pure milk, what is the new ratio of milk to water?

  12. SSC Selection Post • 2024

    A recipe is made using cheese and butter in the ratio 4 : 3. If Arohi uses 8 bowls of cheese, how many bowls of butter should she use?

  13. SSC CHSL • 2020

    The marked price of a book is Rs.900. What is the selling price of the book after giving two successive discounts each of 10% on it?

  14. SSC CHSL • 2024

    If the diameter of a hemisphere is 42 cm, then the volume of hemisphere (in cm³) is :

  15. SSC Selection Post • 2024

    If Tanmay covers three equal distances at the speeds of 2 km/h, 3 km/h and 4 km/h, respectively, then find his average speed (in km/h) during the whole journey. (Rounded off to 2 decimal places)

  16. SSC CGL • 2023

    In ₹150, B buys 10 pens for ₹8 each, 10 erasers for ₹5 each and some sharpeners for ₹4 each. What is the average price per item in ₹?

  17. SSC CGL • 2024

    The value of the expression (1.55² + 0.55² + 1.55 × 0.55) is equal to:

  18. SSC CGL • 2020

    A certain sum amounts to Rs.280900 in 2 years at 6% per annum, interest compounded annually. The sum is:

  19. SSC Selection Post • 2024

    In an educational institution, the ratio of the numbers of students in middle school and in high school, respectively, in a given year was given as 4 : 3. If there were 324 students in middle school in that year in that institution, what was the number of…

  20. SSC GD • 2019

    When 32% of a number X was added to another number y , then y increases by 24%. The value of (2x+y)/(3x+y) is:

  21. SSC CGL • 2021

    If a² + b² + c² + 216 = 12(a + b - 2c), then √(ab-bc-ca) is:

  22. SSC Selection Post • 2022

    A 175 m long train crosses a platform twice its length in 27 seconds. What is the speed (in km/h) of the train?

  23. SSC Selection Post • 2022

    Find the area of a trapezium having a height of 7 cm and the lengths of the parallel sides 8 cm and 12 cm.

  24. SSC CGL • 2022

    If ∆ABC ~ ∆DEF, and BC = 4 cm, EF = 5 cm and the area of triangle ABC = 80 cm², then the area of the triangle DEF is:

  25. SSC CGL • 2022

    A dishonest dealer sells a product at 11% loss on cost price, but uses 22% less weight. What is his percentage profit or loss?

  26. SSC CHSL • 2022

    Rakesh runs 4/3 times as fast as Mukesh. In a race, if Rakesh gives a lead of 60 m to Mukesh, find the distance from the starting point where both of them will meet.

  27. SSC CPO • 2025

    The area of ​​the base of a rectangular parallelepiped is 30 square centimeters, and its height is 10 centimeters. Find its volume.

  28. SSC CGL • 2022

    Number p is 15% more than 150. If k is 15% less than p, then k is equal to:

  29. SSC CHSL • 2025

    In a circle, chord AB subtends an angle of 75° at the circumference at point C. A tangent is drawn at point A. If the angle between this tangent and chord AC is 40°, what is the measure of the angle subtended by the minor arc AC at the center of the circle?

  30. SSC CHSL • 2021

    Study the given pie - charts and answer the question that follows. The pie charts represent the percentage distribution of 300 students of class X in a school in six diferent sections A, B, C, D, E and F [Image] The table shows the number of boy of class X…

  31. SSC CGL • 2025

    A grocer punchased 50 kg of rice at ₹40 per kg and 20 kg of another variety of rice at ₹55 per kg. He mixed the two varieties and sold the entire mixture at ₹48 per kg. Find his total profit or loss in this transation.

  32. SSC CHSL • 2025

    A sum of money becomes 5 times itself in 20 years at a certain rate of simple interest. In how many years will it become 9 times itself at the same rate?

  33. SSC CHSL • 2023

    If the mathematical symbols in the expression givne below are changed from '+' to '÷', '-', to '×', '÷' to '-', and '×' to '+' , then what will be the value of the expression? 87 × 256 + 16 - 77 ÷ 1359

  34. SSC CGL • 2021

    A certain sum becomes Rs.13650 at 15% p.a; simple interest after 2 years. What will be the amount (in Rs.) of the same sum after 1 year at the same rate of interest, if the interest is compounded half-yearly? (nearest to Rs.)

  35. SSC CGL • 2021

    If △ABC, D and E are the points on sides AB and AC, respectively such that ∠ADE = ∠B. If AD = 7 cm, BD = 5 cm and BC = 9 cm , then DE (in cm) is equal to:

  36. SSC MTS • 2022

    A person invests ₹55,000 for two years on compound interest such that the rate of interest for the first year is 8% per annum and that for the second year is 12% per annum, and the interest is compounded annually. What is the total interest earned by the…

  37. SSC CGL • 2022

    AB and CD are two chords in a circle with centre O and AD is the diameter. When produced, AB and CD meet at the point P. If ∠DAP = 39°, ∠APD = 25°, then what is the measure (in degrees) of ∠DBC?

  38. SSC MTS • 2019

    Samrat alone can complete a work in 10 days and Virat alone can complete the same work in 40 days. If they are working on alternate days with samrat starting the work, then in how many days will the total work be completed?

  39. SSC CHSL • 2024

    In a 100-meter race, A beats B by 20m and B beats C by 5m. In the same race, find the distance by which A beats C.

  40. SSC CHSL • 2023

    The present age of a father is twice that of his son. 8.5 years hence, the ratio would be 7 : 4. Find the son's present age.

  41. SSC CGL • 2020

    An article was sold at a gain of 16%. If had been sold for Rs.36 more, the gain would have been 20%. The cost price of the article is:

  42. SSC CHSL • 2023

    An item was sold at ₹5,474 after two successive discounts of 12.5% and 8% were offered on its Marked Price. What was the Marked Price (in ₹) of the item?

  43. SSC Selection Post • 2022

    A garment company offers two successive discounts of 20% and 48% on the list price of the dresses. What is the final sale price (in ₹) of a dress ₹6000?

  44. SSC Selection Post • 2022

    In a medical institute, the strength of the students in the first two classes are in the ratio of 8:7. The ratio of the number of students in the second and the third classes is 2:3. What is the average of the number of students in the first and third…

  45. SSC CHSL • 2021

    The value of 5/4 × 22/3 ÷ 5/9 of 11/5 + 2/(25) × 41/6 ÷ 2/7 of 21/3 is:

  46. SSC CGL • 2018

    PQRS is a square whose side is 20 cm. By joining opposite vertices of PQRS are get four triangles. What is the sum of the perimeters of the four triangles?

  47. SSC CGL • 2024

    Find the smallest value that must be assigned to number ‘a’ in order for 91876a2 to be divisible by 8.

  48. SSC MTS • 2022

    If A = 2/3 ÷ 4/9, B = 6/11 × 33/12 and C = 1/3 ×9/2 then what is the value of A× B - C?

  49. SSC CGL • 2022

    A solid metallic sphere of radius 13 cm is melted and recast into a cone having a diameter of the base of 13 cm. What is the height of the cone?

  50. SSC CGL • 2023

    In a constituency, 90% of the total number of people on the electoral roll cast their votes during an election. 15% of the votes cast were declared invalid. Jeeta secured 60% of the valid votes. If Jeeta secured 91,800 valid votes, what was the total number…