SarkariPYQ

Quantitative Aptitude PYQ — Page 62

24,303 questions across SSC exams.

  1. SSC CGL • 2023

    (sine ø + cosec ø )² + (cos ø + sec ø )² = ?

  2. SSC Selection Post • 2025

    The value of (3 + √8) + (1/(3 − √8)) − (6 + 4√2) is:

  3. SSC Selection Post • 2025

    M and N invest ₹80,000 and ₹1,20,000. After a year, the total profit, including 10% interest, is ₹33,000. What is N’s share?

  4. SSC Selection Post • 2025

    62½% of a number exceeds 25% of the same number by 15. What is the number?

  5. SSC CGL • 2018

    A Rs 1000 box of cookies is offered at 10% discount and a Rs 400 bar of chocolate at 8% discount. If we buy 2 boxes of cookies and 3 bars of chocolate, what is the effective discount we get (in %)?

  6. SSC CHSL • 2023

    Find the median of the following data. 15, 30, 20, 10, 25, 35, 18, 21, 28

  7. SSC CGL • 2023

    If the highest common factor (HCF) of x and y is 15, then the HCF of 36x²- 81y²and 81x²-9y²is divisible by_____.

  8. SSC Selection Post • 2025

    If the lateral surface area of a right circular cylinder is 440 cm² and radius is 5 cm, find the height.

  9. SSC CGL • 2016

    If x + 1/x = √3 the value of x¹⁸ + x¹² + x⁶ + 1 is

  10. SSC Selection Post • 2025

    For an angle measuring precisely 75 degrees, determine the numeric value of its sine multiplied by its cosine.

  11. SSC Selection Post • 2025

    If 2x + 3y = 50 and x, y ∈ N, then what is the value of x for which y is minimum?

  12. SSC Selection Post • 2025

    Identify the correct decimal equivalent of 147/8.

  13. SSC CHSL • 2024

    The marked price of an article is ₹2,800. It is sold at three successive discounts of 15%, 8% and 5%. Find the selling price of the article (in ₹).

  14. SSC Selection Post • 2025

    M and N invest ₹80,000 and ₹1,20,000. After a year, the total profit, including 10% interest, is ₹33,000. What is N’s share?

  15. SSC Selection Post • 2025

    If a pipe of length √98 m is cut into 7 equal parts, what is the length of each part, and is it rational or irrational?

  16. SSC Selection Post • 2025

    Simplify: (9/2 + 2.75) × (5/8 – 0.25) ÷ (6/5 + 3/10)

  17. SSC Selection Post • 2025

    In an equilateral triangle, which of the following points coincide?

  18. SSC CGL • 2019

    A, B and C start a business. A invests [Image] % of the total capital, B invests 25% of the remaining and C invests the rest. If the total profit at the end of a year is Rs.162000, then A’s share in profit is ?

  19. SSC CGL • 2023

    A, B and C did certain investments and the ratio of their time periods is 3 : 2 : 7 respectively. Ratio of the profits of A, B and C is 4 : 3 : 14 respectively. What is the ratio of the investments of A, B and C?

  20. SSC CGL • 2025

    If x=8+√(5) and y=8-√(5) then the value of x²+y² is:

  21. SSC MTS • 2024

    Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation. 12 * 3 * 4 = 6 * 8 * 8

  22. SSC Selection Post • 2025

    T and U start a business. T invests ₹40,000. After 3 months, U joins with ₹60,000. After 3 more months, T doubles his capital. If the business runs for 12 months, find the profit ratio of T to U.

  23. SSC CGL • 2018

    ABCD is a trapezium. Sides AB and CD are parallel to each other. AB = 6 cm, CD = 18 cm, BC = 8 cm and AD = 12 cm. A line parallel to AB divides the trapezium in two parts of equal perimeter. This line cuts BC at E and AD at F. If BE/EC = AF/FD then what is…

  24. SSC Selection Post • 2025

    What is 125/21 as a mixed number?

  25. SSC CGL • 2022

    If a, b and c are positive numbers such that (a² + b²) : (b² + c²) : (c² + a²) = 34 : 61 : 45, then b - a : c - b : c - a = ______.

  26. SSC Selection Post • 2025

    A right circular cylinder has height 20 cm and curved surface area 880 cm². What is its volume? (use π=22/7)

  27. SSC CGL • 2022

    If (√(38-5√(3)))/(√(26+7√(3)))=(a+b√(3))/23, b>0 , then the value of(b - a) is:

  28. SSC Selection Post • 2025

    Average salary of 12 workers is ₹15000. If the manager is included, the average becomes ₹16000. What is the manager's salary?

  29. SSC CGL • 2018

    On a machine there is 10% trade discount on the marked price of Rs 2,50,000. But the machine is sold at Rs 2,16,000 after giving a cash discount. How much is this cash discount (in %)?

  30. SSC Selection Post • 2025

    Which fraction is equivalent to 0.245?

  31. SSC Selection Post • 2025

    Which of the following squares will end with the digit 1?

  32. SSC Selection Post • 2025

    Which is the most significant 4-digit number exactly divisible by 88?

  33. SSC CGL • 2026

    In an equilateral triangle, the circumcenter coincides with which of the following?

  34. SSC Selection Post • 2025

    The set of whole numbers consists of all natural numbers along with which additional number?

  35. SSC Selection Post • 2025

    Consider a triangle XYZ where the angle at vertex Y measures 90 degrees and M is the midpoint of hypotenuse XZ. What can be said about point M?

  36. SSC CGL • 2018

    In the given figure, PQRS is a square of side 20 cm and SR is extended to point T. If the length of QT is 25 cm, then what is the distance (in cm) between the centres O₁ and O₂ of the two circles? [Image]

  37. SSC CGL • 2025

    If tan A + sec A = 3, find tan A.

  38. SSC CGL • 2019

    The number of students in a class is 75, out of which [Image] are boys and the rest are girls. The average score in mathematics of the boys is [Image] more than that of the girls. If the average score of all the students is 66, then the average score of the…

  39. SSC CGL • 2020

    In the given figure, ABCD is a rectangle and P is a point on DC such that BC = 24 cm, DP = 10cm, and CD = 15 cm. If AP produced intersects BC produced at Q, then find the length of AQ. [Image]

  40. SSC Selection Post • 2025

    A hollow hemisphere has an inner radius of 5 cm and an outer radius of 7 cm. Find its total surface area.

  41. SSC CHSL • 2023

    A sum of money is divided among A, B, and C in the ratio 4 : 3 : 6. If the share of C is Rs 600 more than B, then how much amount will A get more than B?

  42. SSC Selection Post • 2025

    What will be the number of zeros at the end of the square of the following numbers? (i) 70 (ii) 500

  43. SSC Selection Post • 2025

    What is the simple interest on ₹5,000 at 6% per annum for 3 years?

  44. SSC Selection Post • 2025

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

  45. SSC CGL • 2022

    Three sides of a triangle are √(a²+b²), √((2a)²+b²) and √(a²+(2b)²) units. What is the area (in unit squares) of the triangle?

  46. SSC Selection Post • 2025

    A circle is entirely enclosed within a parallelogram such that all four sides of the parallelogram are tangent to the circle. What specific type of parallelogram must this be?

  47. SSC CGL • 2018

    If the cost price of an article is Rs x. It is marked up by 100%. It is sold at Rs 1,200 after giving 20% discount. What is value of x?

  48. SSC Selection Post • 2025

    A factory uses 18.75 liters of a chemical each day. On Monday, it used only 2/3 of the daily amount. On Tuesday, it used 25% more than it did on Monday. How much chemical was used in total over the two days?

  49. SSC Selection Post • 2025

    Find the fourth proportional to 16, 24, and 32.

  50. SSC CGL • 2023

    What is the compound interest on a sum of ₹25,000 after three years at a rate of 12 per cent per annum interest compounded yearly?