Quantitative Aptitude PYQ — Page 288

24,303 questions across SSC exams.

  1. SSC CGL • 2023

    In a right-angle triangle, the hypotenuse is 5 cm and the base is 3 cm. If one angle is θ , then tan θ is equal to:

  2. SSC CGL • 2022

    What is the ratio of the mean proportional between 1.6 and 3.6 and the third proportional of 5 and 8?

  3. SSC CHSL • 2025

    The savings of Arjun and Karan are in the ratio 7 : 9. If both save ₹3,000 more, the ratio changes to 10 : 12. What is Karan’s saving?

  4. SSC CHSL • 2024

    Study the given graph and answer the question that follows. The graph shows the marks obtained by Riya and Rida in six subjects in the CBSE 12^(th) exam. The maximum marks in Maths, Physics, and Chemistry are 140 and that in English, IP and Biology are 180…

  5. SSC CPO • 2025

    A hollow spherical shell is made of a metal with a density of 6 grams per cubic centimeter. If the inner and outer radii of the shell are 8 centimeters and 9 centimeters, respectively, find the weight of the shell in kilograms.

  6. SSC CHSL • 2025

    A sum of ₹y amounts to ₹10,920 at 6% per annum in a time in which a sum of ₹12,000 amounts to ₹15,000 at 5% per annum, both at simple interest. The value of y is:

  7. SSC Selection Post • 2024

    A man has to discharge a debt of ₹15,600, which is due in 3 years at 4% simple interest per annum. If he pays this amount in equal instalments of annual payment, find the amount for the annual payment.

  8. SSC CGL • 2020

    In ΔABC, MN || BC, the area of quadrilateral MBCN = 130 sqcm. If AN : NC = 4 : 5, then the area of ΔMAN is: [Image]

  9. SSC MTS • 2022

    A car starts at a speed of 30 km/h and increases its speed by 5 km/h after every hour. Another car has a constant speed of 40 km/h. In how much time will both the cars cover an equal distance?

  10. SSC CGL • 2024

    A tank can be filled by pipe A in 4 hours and pipe B in 6 hours. At 8:00 a.m., pipe A was opened. At what time will the tank be filled if pipe B is opened at 9:00 a.m.?

  11. SSC CGL • 2019

    A person borrowed a certain sum at 10% p.a. for three years, interest being compounded annually. At the end of two years, he repaid a sum of Rs. 6,634 and at the end of the third year, he cleared off the debt by paying Rs.13,200. What was the sum borrowed by…

  12. SSC CGL • 2025

    If the height of a cylinder is equal to its diameter and the radius is 5 cm, find its volume.

  13. SSC GD • 2021

    The income of A is 70% more than the income of B, end the income of C is 80% of the combined income of A and B. By what percentage is the income of A less than of C? (Correct to one decimal place)

  14. SSC CHSL • 2025

    Find the value of: (√3 + √5)² + (√3 - √5)²

  15. SSC CGL • 2022

    The number of mobiles sim - card owners in 4 states/UT are given in the bar diagram. Study the diagram and answer the question. [Image] The average of sim-card sold in the 4 states/ UT in lakhs is:

  16. SSC CHSL • 2025

    An alloy contains zinc, copper and tin in the ratio 3 : 2 : 2 and another contains copper, tin and lead in the ratio 2 : 3 : 5. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in new alloy will be:

  17. SSC CHSL • 2020

    In the given bar graph, the white bar shows the income and the blue bar shows the expenditure of a company. Study the graph and answer the question that follows. [Image] The expenditure from 2001 to 2002 decrease by:

  18. SSC CGL • 2021

    The length of each side of a rhombus is 13 cm and one of the diagonal is 24 cm. What is the area (in cm²) of the rhombus?

  19. SSC CHSL • 2020

    In the following g figures, if angles ∠ABC = 95ᵒ ∠FED = 115ᵒ (not to scale). Then the angle ∠APC is equal to: [Image]

  20. SSC GD • 2019

    A, B and C contract a work for Rs. 550 together. A and B are supposed to do 7/11 of the work. The amount that C gets is:

  21. SSC CHSL • 2024

    Simplify the following: 12div4 of 3times6 + 8div16 of 4× 8 - 4div6 times9

  22. SSC CGL • 2022

    If the cost price is 72% of the selling price, then what is the percentage of profit? (Correct to 2 decimal places)

  23. SSC CHSL • 2024

    The perpendicular length from the origin to the line 6x + 8y - 48 = 0 is:

  24. SSC CHSL • 2024

    Study the given bar-graph and answer the question that follows. [Image] How many students obtained more than 135 marks?

  25. SSC Selection Post • 2022

    The sides of two square are in the ratio 2 : 3 and the sum of their perimeters is 180 cm. Find the area of the larger square (in cm²)

  26. SSC CGL • 2020

    The given table represents the sale (in thousands) of cars by four companies A, B, C and D in six years. Study the table and answer the question that follows. [Table] The total number of cars sold by companies A in 2017 and C in 2013 is what percentage of…

  27. SSC GD • 2019

    A metallic sphere of radius 4 cm is melted and the cast into small spherical balls, each of diameter 0.4 cm. The number of small balls will be:

  28. SSC GD • 2021

    If the volume of cube = 192√3 cubic cm. then the length of its diagonal is:

  29. SSC Selection Post • 2022

    Eight years ago, the average age of A, B and C was 22 years. The average age of A and C after 2 years from now will be 32.5 years. What will be the age (in years) of B after 3 years from now?

  30. SSC CHSL • 2022

    Find the smallest four-digit number which is divisible by 4, 8, 12, and 16.

  31. SSC Selection Post • 2022

    The following chart shows the share (percentage wise) of total number of computers sold by dealers A and B together during 5 months. Study the chart and answer the given question. [Image] Total number of computers sold by dealers A and B in March = 576 The…

  32. SSC CGL • 2025

    The ratio of the speeds of a car and a bus is 3 : 4. If the bus covers a distance of 320 km in 4 hours, what is the speed of the car in km/h?

  33. SSC CHSL • 2020

    (ax + by) is a factor of:

  34. SSC CHSL • 2025

    A sum of money amounts to ₹6,720 in 4 years and to ₹7,680 in 6 years at a certain rate of simple interest. What is the annual rate of interest?

  35. SSC CGL • 2019

    A sum amounts to Rs.18,600 after 3 years and to Rs. 27,900 after 6 years, at a certain rate percent p.a., when the interest is compounded annually. The sum is:

  36. SSC CGL • 2021

    Study the following tables nd answer the question: Number of students enrolled for Vocational Courses (CV) in five institutes -A,B,C,D & E. [Table] The total number of students enrolled for VC in institutes C in 2013, 2014 and 2017 is what percent of total…

  37. SSC CHSL • 2025

    A wooden box is shaped like a rectangular parallelepiped with dimensions 80 cm × 50 cm × 40 cm. What is its volume in cubic centimeters?

  38. SSC CHSL • 2025

    A batsman typically scores 40 runs in 20 innings. To raise his average by two, how many runs does he need to score in the twenty-first inning?

  39. SSC CHSL • 2022

    A can complete a piece of work in 12 days, and B can complete the same work in 36 days. In how many days will both, together, complete the work?

  40. SSC CGL • 2022

    In a class of students, the first student has 2 toffees, second has 4 toffees, third has 6 toffees and so on. If the number of students in the class is 25, then the total number of toffees are divisible by ____.

  41. SSC CHSL • 2024

    By selling 30 metres of cloth a shopkeeper makes a profit equivalent to the selling price of 10 metres of cloth. Find the selling price of 1 metre of cloth when the cost price of 1 metre of cloth is ₹ 480.

  42. SSC CGL • 2022

    tan(θ -14π) is equal to:

  43. SSC CGL • 2021

    What is the value of k such that number 72k460k is divisible by 6?

  44. SSC CGL • 2025

    A cistern contains 120 liters of pure syrup. 12 liters of syrup are drawn out and replaced by water. Then, 12 liters of the mixture are drawn out and replaced by water again. What is the ratio of syrup to water in the final mixture?

  45. SSC CGL • 2025

    An antique dealer sold three items, A, B, and C, with their selling prices in the ratio 3:4:5. He suffered a loss of 20% on item A, made a profit of 25% on item B, and broke even on item C. What was his exact percentage gain or loss in the overall deal?

  46. SSC Selection Post • 2019

    Which among the given numbers are exactly divisible by 7, 11 and 13?

  47. SSC CGL • 2025

    If a prism's height is tripled while the base area remains constant, what happens to the volume?

  48. SSC GD • 2021

    A sum of Rs. 8400 is divided between A and B such that A's share at the end of 2 years is equal to B's share at the end of 2 2/3 years at 15% p.a., interest compounded 8 monthly. What is A's share (in Rs.) in the given sum?

  49. SSC Selection Post • 2024

    A can do a piece of work in 25 days. After working for 5 days, he took help of B and completed the work in 8 days. If both A and B had worked together from the beginning, in how many days would they have completed the work?

  50. SSC CGL • 2022

    Find the largest number of 3 digits divisible by 4 and 7.