SarkariPYQ

Quantitative Aptitude PYQ — Page 325

24,303 questions across SSC exams.

  1. SSC CGL • 2021

    A sum of Rs. 6342 is divided amongst A, B, C, and D in the ratio 3 : 4 : 8 : 6. What is the difference between the shares of B and D?

  2. SSC CGL • 2024

    Simplify: 4x²-49y²over 2x+7y+7y-2x

  3. SSC CGL • 2024

    Pipe A takes 4/5 of the time required by pipe B to fill an empty tank individually. When an outlet pipe C is also opened simultaneously with pipes A and B, it takes 4/5 more time to fill the empty tank than it takes when only pipe A and pipe B are opened…

  4. SSC CGL • 2023

    ABC is a triangle and D is a point on the side BC. If BC = 16 cm, BD = 11 cm and ∠ADC = ∠BAC, then the length of AC is equal to:

  5. SSC CGL • 2023

    The following table shows the scores of three attempts of Archery players in a tournament. The player scoring the highest average score was declared the best player. Who was the best player? [Table]

  6. SSC CGL • 2020

    The price of sugar is increased by 20%. By what percentage must one cut down on the consumption of sugar, so that no extra amount has to be incurred on sugar?

  7. SSC MTS • 2019

    A number is first increased by 40% and then it is increased by 30%. What is the net percentage increase?

  8. SSC CHSL • 2023

    In a camp of 70 boys, there are food provisions for 36 days. If 50 more boys join the camp, then how many days will the provisions last?

  9. SSC CHSL • 2024

    In a circle, the chords AB and CD intersect each other at point L (internally). If AL = 9 cm, LB = 7 cm and LD = 3 cm, then find CL (in cm).

  10. SSC Selection Post • 2024

    If √(1+x³over9) = 5, then the value of x is equal to:

  11. SSC CHSL • 2025

    A spherical cannonball with a diameter of 28 cm is melted and recast into a rectangular block. The length and breadth of the block are 44 cm and 14 cm respectively. What is the height of the rectangular block? (Take π = 22/7)

  12. SSC CGL • 2025

    A cone and a sphere have equal volumes. If the cone's height is twice its radius, what is the ratio of the cone's radius to the sphere's radius?

  13. SSC CGL • 2023

    The cost price of an article is decreased by 10% and then increased by 20%. If the final price is ₹540, then the original cost price is:

  14. SSC GD • 2019

    The pie chart given below shows the annual snowfall received by 7 states of a country. The snowfall is shown as a percentage of total annual snowfall of the country. [Image] If the annual snowfall received by the country is 700 cm. What is the difference in…

  15. SSC CHSL • 2025

    In a quiz, a student was asked to find a number that is: i) Irrational ii) Greater than 2 but less than 3 iii) Whose square is also irrational Which of the following could be the number?

  16. SSC CGL • 2020

    In ΔPQR, ∠Q = 85° and ∠R = 65°. Points S and T are on the sides PQ and PR respectively such that ∠STR = 95° and the ratio of QR and ST is 9 : 5. If PQ is 21.6 cm, then the length of PT is :

  17. SSC CHSL • 2025

    The angle subtended by a chord at the circumference is 35°. The angle subtended at the center is:

  18. SSC CGL • 2024

    Find the value of 11 - {(11 ÷ 4) of 8 - 4 - 8 }.

  19. SSC CGL • 2023

    The marked price of an article is ₹50,000. Of three shopkeepers, the first one allows two successive discounts of 25% and 15%.The second one allows two successive discounts 20% and 20%. The third shopkeeper allows two successive discounts of 30% and 10%…

  20. SSC Selection Post • 2024

    In an election between two candidates, the first gets 75% of the total valid votes. If 20%votes are invalid among 2,48,000 votes, then how many votes were cast in favour of the other candidate?

  21. SSC Selection Post • 2020

    A certain sum is divided between A, B, C and D such that the ratio of the shares of A and B is 3 : 4; that of B and C is 5 : 6 and that of C and D is 9 : 10. If the difference between the shares of A and C is ₹3,240, then what is the share of D?

  22. SSC MTS • 2022

    Nalini purchased 20 dozen of apples at Rs. 48 per dozen. She sold 8 dozen of them at 10% profit and the remaining 12 dozen at 20% profit. What is the overall profit percentage gained in this transaction?

  23. SSC CHSL • 2024

    Let ABC be a triangle such that ∠ABC = 70° and ∠ACB = 50°. Let O be the incentre of the triangle. Find ∠BOC.

  24. SSC CGL • 2024

    At a school building, there is an overhead tank. To fill this tank 50 buckets of water are required. Assume that the capacity of the bucket is reduced to two-fifth of the present. How many buckets of water are required to fill the same tank?

  25. SSC CHSL • 2024

    If the brick size is 25 cm × 12 cm × 9 cm, then how many bricks are required to construct a wall of length 10 m, breadth 22.5 cm and height 6 m?

  26. SSC CGL • 2025

    A regular triangle and a regular hexagon have equal areas. What is the ratio of their sides?

  27. SSC CGL • 2021

    In a right angled triangle ABC, the lengths of the sides containing the right angle are 5 cm and 12 cm respectively. A circle is inscribed in the triangle ABC. What is the radius of the circle (in cm)?

  28. SSC CGL • 2019

    ABCD is a cyclic quadrilateral in which ∠A = 67° and ∠B = 92°. What is the difference between the measures of ∠C and ∠D?

  29. SSC CGL • 2024

    After offering two successive discounts a toy with a marked price of ₹150 is sold at ₹105. If the value of the first discount is 12.5%, what is the value of the second discount?

  30. SSC CGL • 2025

    Which team had a lowest average score?

  31. SSC Selection Post • 2024

    A person bought bananas at 6 for ₹12 and sold them at 8 for ₹10. Find his gain or loss percentage?

  32. SSC CHSL • 2023

    Which of the following sets is such that all its elements are divisors of the number 2520?

  33. SSC CGL • 2021

    When x is subtracted from each of 19, 28, 55 and 91, the numbers so obtained in this order are in proportion. What is the value of x?

  34. SSC CHSL • 2019

    The ratio of the square of a number to the reciprocal of its cube is 243/16807. What is the number?

  35. SSC CHSL • 2019

    A is 20% more than B, B is 25% more than C, C is 60% less than D and D is 20% more than E. Based on the above information, which of the following is true?

  36. SSC CGL • 2024

    If books bought at prices ranging from ₹200 to ₹260 are sold at prices ranging from ₹250 to 300, what is the greatest possible profit that might be made in selling 25 books?

  37. SSC CHSL • 2025

    In an election, 25% voters did not vote. Out of the votes polled, 20% were declared invalid. The winner secured 60% of the valid votes and defeated his rival by 2,400 votes. Find the total number of voters.

  38. SSC Selection Post • 2020

    If x is subtracted from each of the numbers 20, 37, 54 and 105, then the numbers so obtained in this order are in proportion. What is the mean proportion between (7x-5) and (x+1)?

  39. SSC CGL • 2022

    If a ∆ABC, points P, Q and R are taken on AB, BC and CA, respectively, such that BQ = PQ and QC = QR. If ∠BAC = 75º, what is the measure of ∠ PQR (in degrees)?

  40. SSC CGL • 2024

    Solve the following: 1over 1\ +\ cosθ +1over 1\ -\ cosθ = \ ?

  41. SSC CHSL • 2023

    A bus travels for three hours at 60 km/h, four hours at 50 km/h and the next five hours at 50 km/h. Find its average speed,

  42. SSC CHSL • 2025

    A regular right square pyramid has a base side of 14 cm. An ant walks from one corner of the base to the midpoint of the slant edge opposite that corner by the shortest surface path. If the pyramid's perpendicular height is 9 cm, find the lateral surface area.

  43. SSC CGL • 2021

    The value of (tan 13ᵒ tan 36ᵒ tan 45ᵒ tan 54ᵒ tan 77ᵒ)/(2 sec² 60ᵒ (sin² 60ᵒ - 3 cos 60ᵒ +2)) is:

  44. SSC CGL • 2025

    Find the compound interest on ₹8,000 at 10% per annum for 2 years, compounded annually.

  45. SSC CHSL • 2021

    In General store, an item with an MRP of Rs. 35600 is on the discount counter with a special price of Rs. 34888. What is the percentage of discount given for that item?

  46. SSC CGL • 2022

    In the given triangle, CD is the bisector of ∠BCA. CD = DA. If ∠BDC = 76º, what is the degree measure of ∠CBD? [Image]

  47. SSC CHSL • 2022

    The cost price of an article is Rs.6,450. If it sold at a profit 16%, how much would be its selling price?

  48. SSC CGL • 2022

    In a ∆ABC, the bisector of ∠A meets BC at D. IF AB = 9.6 cm, AC = 11.2 cm and BD = 4.8 cm, the perimeter (in cm) of ∆ABC is:

  49. SSC CHSL • 2024

    A shopkeeper buys 1800 kg wheat for ₹32,400. If 20% of this wheat is spoiled due to rain, at what rate (₹/kg) should he sell the rest to earn 20%?

  50. SSC CGL • 2022

    If a² + b² = 65 and ab = 8, a > b > 0, then find the value of a² - b².